0.921 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.282 * * * [progress]: [2/2] Setting up program. 0.285 * [progress]: [Phase 2 of 3] Improving. 0.288 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.294 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.296 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.297 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.298 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.299 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.300 * * [progress]: iteration 1 / 4 0.300 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.314 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.320 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.330 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.331 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.332 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.333 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.333 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.333 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.334 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.334 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.334 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.334 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.345 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * [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 0.384 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.384 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.384 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.389 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.389 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.412 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.418 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.477 * * * [progress]: simplifying candidates 0.478 * [simplify]: Simplifying using # : (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ 1 (+ 1.0 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)) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (- (- 1.0 x))) (sqrt (- (+ 1.0 x))) (sqrt 1) (sqrt (/ (+ 1.0 x) (- 1.0 x))) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (+ 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (* 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))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.481 * * [simplify]: iteration 0 : 206 enodes (cost 178 ) 0.485 * * [simplify]: iteration 1 : 591 enodes (cost 176 ) 0.496 * * [simplify]: iteration 2 : 2630 enodes (cost 162 ) 0.550 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.552 * [simplify]: Simplified to: (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ 1 (+ 1.0 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)) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x 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 (- (pow 1.0 3) (pow x 3))) (sqrt (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (+ 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)))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 0.5 (pow (sqrt -1) 3)) (/ 1.0 (sqrt -1)))) (/ 1.0 (* x (sqrt -1))))) 0.552 * * * [progress]: adding candidates to table 0.620 * * [progress]: iteration 2 / 4 0.620 * * * [progress]: picking best candidate 0.624 * * * * [pick]: Picked # 0.624 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.635 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.641 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.645 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.649 * * * [progress]: generating series expansions 0.650 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.650 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 0.652 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 0.652 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0)))) in x 0.652 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ x 1.0))) in x 0.654 * [taylor]: Taking taylor expansion of (fabs (+ x 1.0)) in x 0.676 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 0.679 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 0.679 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0)))) in x 0.679 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (fabs (+ (/ 1 x) 1.0))) in x 0.682 * [taylor]: Taking taylor expansion of (fabs (+ (/ 1 x) 1.0)) in x 0.704 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in (x) around 0 0.704 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 0.704 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 0.707 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 0.707 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x))))) in x 0.707 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- 1.0 (/ 1 x)))) in x 0.710 * [taylor]: Taking taylor expansion of (fabs (- 1.0 (/ 1 x))) in x 0.731 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.731 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.731 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.731 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.732 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.746 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.746 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.746 * [taylor]: Taking taylor expansion of 1.0 in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.770 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.770 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.770 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.791 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.791 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in (x) around 0 0.791 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 0.791 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) in x 0.792 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in (x) around 0 0.792 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 0.793 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (+ (/ 1 x) 1.0))))) in x 0.794 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in (x) around 0 0.794 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 0.794 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (fabs (- 1.0 (/ 1 x)))))) in x 0.795 * * * [progress]: simplifying candidates 0.795 * [simplify]: Simplifying using # : (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (fabs (+ 1.0 x))) (/ 1 (fabs (+ 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (* (fabs (+ 1.0 x)) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))))) (* (fabs (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (* x 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 (- 1.0 x)) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (sqrt (+ (* 1.0 1.0) (* x x))) (- (/ (sqrt 1.0) (fabs (+ x 1.0))) (+ (* 1/2 (/ (pow x 2) (* (fabs (+ x 1.0)) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (* (fabs (+ x 1.0)) (pow (sqrt 1.0) 3)))))) (- (+ (/ (* x (sqrt -1)) (fabs (+ x 1.0))) (* 0.5 (/ 1 (* (fabs (+ x 1.0)) (* x (sqrt -1)))))) (* 0.125 (/ 1 (* (fabs (+ x 1.0)) (* (pow x 3) (pow (sqrt -1) 3)))))) (- (* 0.125 (/ 1 (* (fabs (+ x 1.0)) (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ (* x (sqrt -1)) (fabs (+ x 1.0))) (* 0.5 (/ 1 (* (fabs (+ x 1.0)) (* x (sqrt -1))))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) 0.799 * * [simplify]: iteration 0 : 224 enodes (cost 237 ) 0.803 * * [simplify]: iteration 1 : 787 enodes (cost 236 ) 0.819 * * [simplify]: iteration 2 : 4270 enodes (cost 233 ) 0.915 * * [simplify]: iteration 3 : 5001 enodes (cost 233 ) 0.916 * [simplify]: Simplified to: (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (fabs (+ 1.0 x))) (/ 1 (fabs (+ x 1.0))) (/ (fabs (+ 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (/ (fabs (+ 1.0 x)) (sqrt (- 1.0 x))) (* (fabs (+ 1.0 x)) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))))) (* (fabs (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (* x 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 (- 1.0 x)) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (sqrt (+ (* 1.0 1.0) (* x x))) (- (/ (sqrt 1.0) (fabs (+ x 1.0))) (+ (* 1/2 (/ (pow x 2) (* (fabs (+ x 1.0)) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (* (fabs (+ x 1.0)) (pow (sqrt 1.0) 3)))))) (+ (+ (/ (- 0.125) (* (fabs (+ x 1.0)) (* (pow x 3) (pow (sqrt -1) 3)))) (/ (/ 0.5 (* (fabs (+ x 1.0)) x)) (sqrt -1))) (/ (* x (sqrt -1)) (fabs (+ x 1.0)))) (- (/ (/ 0.125 (* (fabs (+ x 1.0)) (pow x 3))) (pow (sqrt -1) 3)) (- (/ (* x (sqrt -1)) (fabs (+ x 1.0))) (/ (- 0.5) (* (fabs (+ x 1.0)) (* x (sqrt -1)))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (- (* x (sqrt -1))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (fabs (+ x 1.0))))) 0.917 * * * [progress]: adding candidates to table 0.980 * * [progress]: iteration 3 / 4 0.980 * * * [progress]: picking best candidate 0.982 * * * * [pick]: Picked # 0.982 * * * [progress]: localizing error 0.995 * * * [progress]: generating rewritten candidates 0.995 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.005 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.016 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.027 * * * [progress]: generating series expansions 1.027 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.028 * [approximate]: Taking taylor expansion of (/ (pow (- 1.0 x) 2) (- 1.0 (pow x 2))) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 x) 2) (- 1.0 (pow x 2))) in x 1.028 * [taylor]: Taking taylor expansion of (pow (- 1.0 x) 2) in x 1.028 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 x) 2) (- 1.0 (pow x 2))) in x 1.029 * [taylor]: Taking taylor expansion of (pow (- 1.0 x) 2) in x 1.029 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.039 * [approximate]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in x 1.039 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (- 1.0 (/ 1 (pow x 2)))) in x 1.042 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.056 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 2) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.056 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 2) (- 1.0 (/ 1 (pow x 2)))) in x 1.056 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 2) (- 1.0 (/ 1 (pow x 2)))) in x 1.058 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.072 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.072 * [approximate]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x))) in (x) around 0 1.072 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x))) in x 1.073 * [taylor]: Taking taylor expansion of (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x))) in x 1.074 * [approximate]: Taking taylor expansion of (atan (* (- 1.0 (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (atan (* (- 1.0 (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))))) in x 1.074 * [taylor]: Taking taylor expansion of (atan (* (- 1.0 (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))))) in x 1.075 * [approximate]: Taking taylor expansion of (atan (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 1.075 * [taylor]: Taking taylor expansion of (atan (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))))) in x 1.075 * [taylor]: Taking taylor expansion of (atan (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))))) in x 1.076 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.076 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x)) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x)) in x 1.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (pow x 2)))) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x)) in x 1.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (pow x 2)))) in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (pow x 2))) in x 1.078 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.098 * [approximate]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.099 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2)))))) in x 1.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 1.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.099 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2)))))) in x 1.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.122 * [approximate]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2)))))) in x 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2)))))) in x 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 (pow x 2))))) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 (pow x 2)))) in x 1.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.146 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.147 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (- 1.0 (pow x 2))) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (- 1.0 (pow x 2))) in x 1.147 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (- 1.0 (pow x 2))) in x 1.148 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.148 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.155 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.155 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in x 1.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (- 1.0 (/ 1 (pow x 2)))) in x 1.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.171 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.171 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 (pow x 2)))) in x 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 (pow x 2)))) in x 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.184 * * * [progress]: simplifying candidates 1.186 * [simplify]: Simplifying using # : (* (- 1.0 x) (- (pow 1.0 3) (pow x 3))) (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (* (- (- 1.0 x)) (- (pow 1.0 3) (pow x 3))) (* (- (- (* 1.0 1.0) (* x x))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (- (- 1.0 x)) (- (* 1.0 1.0) (* x x))) (* (- (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* 1 (- (pow 1.0 3) (pow x 3))) (* (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* 1 (- (* 1.0 1.0) (* x x))) (* (/ (- (* 1.0 1.0) (* x x)) (- 1.0 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 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x))) (* (- 1.0 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 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x))) (* (- 1.0 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 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x))) (* (- 1.0 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 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (+ 1.0 x)) (* (- (pow 1.0 3) (pow x 3)) (- (pow 1.0 3) (pow x 3))) (* (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (- (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ 1.0 x)) (* (- (* 1.0 1.0) (* x x)) (- (pow 1.0 3) (pow x 3))) (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ 1.0 x)) (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) 1.0) (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- x)) (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) 1.0) (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- x)) (* 1.0 (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (* (- x) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (* 1.0 (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (* (- x) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (* (/ 1 (- (* 1.0 1.0) (* x x))) (- 1.0 x)) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))) (- 1.0 x)) (* (+ (* 1.0 1.0) (* x x)) (- 1.0 x)) (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- (pow 1.0 3) (pow x 3))) (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (- 1.0 x)) (* (- (- 1.0 x)) (- 1.0 x)) (* 1 (- 1.0 x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 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)) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (* (/ 1 (- (* 1.0 1.0) (* x x))) (- 1.0 x))) (sqrt (/ (- 1.0 x) (- (pow (* 1.0 1.0) 3) (pow (* x x) 3)))) (sqrt (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))) (- 1.0 x))) (sqrt (/ (- 1.0 x) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x))))) (sqrt (* (+ (* 1.0 1.0) (* x x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- 1.0 x) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (sqrt (* (- (- 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- (- (* 1.0 1.0) (* x x))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (- 1.0 x)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (* 1 (- (pow 1.0 3) (pow x 3)))) (sqrt (* (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* 1 (- (* 1.0 1.0) (* x x)))) (sqrt (* (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (+ 1.0 x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- 1.0 x) (+ 1.0 x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- 1.0 x) (+ 1.0 x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- 1.0 x) (+ 1.0 x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- 1.0 x) (+ 1.0 x))) (sqrt (* (- (pow 1.0 3) (pow x 3)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ 1.0 x))) (sqrt (* (- (* 1.0 1.0) (* x x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ 1.0 x))) (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x)) (sqrt (* (- 1.0 x) (- 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (- (- 1.0 x)) (- 1.0 x))) (sqrt (- (- (* 1.0 1.0) (* x x)))) (sqrt (* 1 (- 1.0 x))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (- (pow 1.0 3) (pow x 3)) (- 1.0 x))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (* 1.0 1.0) (* x x)) (- 1.0 x))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (- (- 1.0 x)) (- (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x))) (/ x (- (* 1.0 1.0) (* x x))) (/ 1 (- (* 1.0 1.0) (* x x))) (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (/ (- 1.0 x) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (- (* 1.0 1.0) (* x 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 (- 1.0 (pow x 2)))) (- 1.0 x))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x))) (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (* x (sqrt 1.0))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (* 1.0 (/ (sqrt -1) x))) (sqrt -1)) (- (sqrt -1) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (* 1.0 (/ (sqrt -1) x)))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 1.192 * * [simplify]: iteration 0 : 426 enodes (cost 967 ) 1.201 * * [simplify]: iteration 1 : 2218 enodes (cost 963 ) 1.244 * * [simplify]: iteration 2 : 5001 enodes (cost 851 ) 1.249 * [simplify]: Simplified to: (* (- 1.0 x) (- (pow 1.0 3) (pow x 3))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* x x))) (* (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (* (- (- 1.0 x)) (- (pow 1.0 3) (pow x 3))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- (- (* 1.0 1.0) (* x x)))) (* (- (- 1.0 x)) (- (* 1.0 1.0) (* x x))) (* (- (- (* 1.0 1.0) (* x 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) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- 1.0 x)) (* (- 1.0 x) (- 1.0 x)) (- (* 1.0 1.0) (* x x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- 1.0 x)) (* (- 1.0 x) (- 1.0 x)) (- (* 1.0 1.0) (* x x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- 1.0 x)) (* (- 1.0 x) (- 1.0 x)) (- (* 1.0 1.0) (* x x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- 1.0 x)) (* (- 1.0 x) (- 1.0 x)) (- (* 1.0 1.0) (* x x)) (* (- (pow 1.0 3) (pow x 3)) (- (pow 1.0 3) (pow x 3))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* x x)))) (* (- (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (* (- (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ 1.0 (+ 1.0 x)) (- (/ x (+ 1.0 x))) (/ 1 (+ 1.0 x)) (* (+ (+ (pow 1.0 4) (* (* 1.0 1.0) (* x x))) (pow x 4)) (- 1.0 x)) (* (+ (* 1.0 1.0) (* x x)) (- 1.0 x)) (/ (- (pow 1.0 3) (pow x 3)) (+ 1.0 x)) (- 1.0 x) (* (- 1.0 x) (- 1.0 x)) (* (- (- 1.0 x)) (- 1.0 x)) (- 1.0 x) (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x)) (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x)) (* (/ (- 1.0 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))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (/ (- 1.0 x) (- (pow (* 1.0 1.0) 3) (pow (* x x) 3)))) (sqrt (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))) (- 1.0 x))) (sqrt (/ (- 1.0 x) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x))))) (sqrt (* (+ (* 1.0 1.0) (* x x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- (pow 1.0 3) (pow x 3)) (- 1.0 x))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (* 1.0 1.0) (* x x)) (- 1.0 x))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (sqrt (* (- (- 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- (- (* 1.0 1.0) (* x x))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (- 1.0 x)) (- (* 1.0 1.0) (* x x)))) (sqrt (* (- (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (* 1 (- (pow 1.0 3) (pow x 3)))) (sqrt (* (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (/ (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (+ 1.0 x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (fabs (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (fabs (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (fabs (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (- 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (fabs (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (fabs (- (pow 1.0 3) (pow x 3))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (* 1.0 1.0) (* x x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (* 1.0 1.0) (* x x)) (- (pow 1.0 3) (pow x 3)))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (fabs (- (* 1.0 1.0) (* x x))) (sqrt (* (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (+ 1.0 x))) (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (fabs (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (* (- (- 1.0 x)) (- 1.0 x))) (sqrt (- (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (* (- (pow 1.0 3) (pow x 3)) (- 1.0 x))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (sqrt (* (- (* 1.0 1.0) (* x x)) (- 1.0 x))) (sqrt (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x))) (- (- 1.0 x)) (- (- (* 1.0 1.0) (* x x))) (/ 1.0 (- (* 1.0 1.0) (* x x))) (/ x (- (* 1.0 1.0) (* x x))) (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (/ (- 1.0 x) (+ (* (- (pow x 3)) x) (pow 1.0 4))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* x x))) (* (- (* 1.0 1.0) (* x 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 (- 1.0 (pow x 2)))) (- 1.0 x))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x))) (atan (* (sqrt (/ 1 (- 1.0 (pow x 2)))) (- 1.0 x))) (- (+ (* 1.0 (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (* x (sqrt 1.0))) (+ (- (* 1.0 (/ (sqrt -1) x)) (sqrt -1)) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (sqrt -1) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (* 1.0 (/ (sqrt -1) x)))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (+ (* 1.0 (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (+ (* 1.0 (- (/ 1 (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) 1.250 * * * [progress]: adding candidates to table 1.446 * [progress]: [Phase 3 of 3] Extracting. 1.446 * * [regime]: Finding splitpoints for: (# #) 1.447 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.447 * * * * [regimes]: Trying to branch on x from (# #) 1.460 * * * [regime]: Found split indices: #