0.931 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.286 * * * [progress]: [2/2] Setting up program. 0.290 * [progress]: [Phase 2 of 3] Improving. 0.292 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.296 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.297 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.298 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.300 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.300 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.301 * * [progress]: iteration 1 / 4 0.301 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 0.327 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.331 * * * [progress]: generating series expansions 0.331 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 0.335 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.381 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.381 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.382 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.383 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.383 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.384 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.384 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.384 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.390 * * [simplify]: iteration 0 : 233 enodes (cost 384 ) 0.393 * * [simplify]: iteration 1 : 688 enodes (cost 359 ) 0.406 * * [simplify]: iteration 2 : 3022 enodes (cost 356 ) 0.473 * * [simplify]: iteration 3 : 5002 enodes (cost 356 ) 0.475 * [simplify]: Simplified to: (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ 1.0 (* 2.0 (- (pow x 2) x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.476 * * * [progress]: adding candidates to table 0.596 * * [progress]: iteration 2 / 4 0.596 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.609 * * * [progress]: generating rewritten candidates 0.609 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.623 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.627 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 0.630 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.634 * * * [progress]: generating series expansions 0.634 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.634 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 0.634 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 0.634 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.634 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 0.638 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.638 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 0.672 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.700 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.723 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.723 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.723 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.725 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.743 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.752 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 0.752 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.753 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.754 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.772 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.784 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.785 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.785 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.785 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.785 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.786 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.786 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.786 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.786 * * * [progress]: simplifying candidates 0.788 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (* (* (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- (- 1.0 x)) (- (sqrt (+ 1.0 x))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) 1) (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (log (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (exp (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))))) (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (* (* (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))) (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (sqrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (sqrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* x (sqrt 1.0)) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.794 * * [simplify]: iteration 0 : 338 enodes (cost 890 ) 0.799 * * [simplify]: iteration 1 : 966 enodes (cost 822 ) 0.815 * * [simplify]: iteration 2 : 4225 enodes (cost 777 ) 0.906 * * [simplify]: iteration 3 : 5001 enodes (cost 777 ) 0.910 * [simplify]: Simplified to: (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (pow (/ (- 1.0 x) (sqrt (+ 1.0 x))) 3) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (pow (/ (- 1.0 x) (sqrt (+ 1.0 x))) 3) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- x 1.0) (- (sqrt (+ 1.0 x))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (/ (fabs (cbrt (+ 1.0 x))) (cbrt (- 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (* (fabs (cbrt (+ 1.0 x))) 1)) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (fabs (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (* (fabs (cbrt (+ 1.0 x))) 1)) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) 1 (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (fabs (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (- 1.0 x) (- 1.0 x) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (- 1.0 x) (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (log (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (exp (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))))) (cbrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (sqrt (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))) (+ (* 1.0 (/ (pow x 2) (sqrt 1.0))) (- (* (sqrt 1.0) (- 1.0 x)) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0)))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.911 * * * [progress]: adding candidates to table 1.159 * * [progress]: iteration 3 / 4 1.159 * * * [progress]: picking best candidate 1.162 * * * * [pick]: Picked # 1.162 * * * [progress]: localizing error 1.178 * * * [progress]: generating rewritten candidates 1.178 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.189 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 1.207 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2) 1.218 * * * [progress]: generating series expansions 1.218 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.218 * [approximate]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.218 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.218 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (* (- 1.0 x) (sqrt (/ 1 (+ x 1.0)))) in x 1.222 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.222 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in (x) around 0 1.255 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 x) 1.0))) (- 1.0 (/ 1 x))) in x 1.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.283 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 1.283 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.306 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.307 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) (- 1.0 x))) in (x) around 0 1.307 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) (- 1.0 x))) in x 1.307 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (- 1.0 x)) in x 1.307 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) (- 1.0 x))) in x 1.312 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (- 1.0 x)) in x 1.312 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.327 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x)))) in (x) around 0 1.327 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x)))) in x 1.327 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x))) in x 1.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x)))) in x 1.330 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (- 1.0 (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.346 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0))) in (x) around 0 1.346 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0))) in x 1.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0)) in x 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0))) in x 1.349 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (+ (/ 1 x) 1.0)) in x 1.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 1.367 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.367 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.367 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.369 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.378 * [taylor]: Taking taylor expansion of 1.0 in x 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of 1.0 in x 1.386 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.386 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.388 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2) 1.396 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 1.396 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.396 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.396 * [taylor]: Taking taylor expansion of 1.0 in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.398 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.398 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.398 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.408 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.408 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.408 * [taylor]: Taking taylor expansion of 1.0 in x 1.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.418 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.418 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * * * [progress]: simplifying candidates 1.430 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (sqrt (+ 1.0 x)))) (log (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (exp (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x))))) (cbrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (* (* (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (- (- 1.0 x)) (- (sqrt (+ 1.0 x))) (/ 1.0 (sqrt (+ 1.0 x))) (/ x (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt 1)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (cbrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt 1)) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt 1)) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ 1 1) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt 1)) (/ (- 1.0 x) (sqrt (sqrt (+ 1.0 x)))) (/ (- 1.0 x) 1) (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (sqrt (+ 1.0 x)) (- (sqrt 1.0) (sqrt x))) (/ (sqrt (+ 1.0 x)) (- 1.0 x)) (/ (- 1.0 x) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (- 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x)))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (/ (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x)))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (* (* (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (sqrt (- 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ (sqrt 1.0) (sqrt x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 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(sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) 1.495 * * * [progress]: adding candidates to table 2.003 * [progress]: [Phase 3 of 3] Extracting. 2.006 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))))))) 2.007 * * [simplify]: iteration 0 : 19 enodes (cost 15 ) 2.007 * * [simplify]: iteration 1 : 19 enodes (cost 15 ) 2.007 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x))))))) 2.840 * [regime-testing]: End program error score: 0.017252156519564944