0.819 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.286 * * * [progress]: [2/2] Setting up program. 0.289 * [progress]: [Phase 2 of 3] Improving. 0.291 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.295 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.296 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.297 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.298 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.299 * * [progress]: iteration 1 / 4 0.299 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.346 * * * [progress]: generating series expansions 0.346 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.351 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.352 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.352 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.357 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.357 * [taylor]: Taking taylor expansion of (- x 1.0) 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 x in x 0.369 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.373 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.381 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.384 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.411 * * * [progress]: simplifying candidates 0.412 * [simplify]: Simplifying using # : (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.416 * * [simplify]: iteration 0 : 188 enodes (cost 226 ) 0.419 * * [simplify]: iteration 1 : 635 enodes (cost 215 ) 0.432 * * [simplify]: iteration 2 : 2636 enodes (cost 210 ) 0.487 * * [simplify]: iteration 3 : 5002 enodes (cost 210 ) 0.488 * [simplify]: Simplified to: (expm1 (* (sqrt (- x 1.0)) (sqrt x))) (log1p (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.489 * * * [progress]: adding candidates to table 0.562 * * [progress]: iteration 2 / 4 0.563 * * * [progress]: picking best candidate 0.567 * * * * [pick]: Picked # 0.567 * * * [progress]: localizing error 0.572 * * * [progress]: generating rewritten candidates 0.573 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.573 * * * [progress]: generating series expansions 0.573 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.573 * [approximate]: Taking taylor expansion of (fma 0.125 (/ 1 x) 0.5) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (fma 0.125 (/ 1 x) 0.5) in x 0.575 * [taylor]: Rewrote expression to (+ (* 0.125 (/ 1 x)) 0.5) 0.575 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of 0.125 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of 0.5 in x 0.575 * [taylor]: Taking taylor expansion of (fma 0.125 (/ 1 x) 0.5) in x 0.575 * [taylor]: Rewrote expression to (+ (* 0.125 (/ 1 x)) 0.5) 0.575 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of 0.125 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of 0.5 in x 0.585 * [approximate]: Taking taylor expansion of (fma 0.125 x 0.5) in (x) around 0 0.585 * [taylor]: Taking taylor expansion of (fma 0.125 x 0.5) in x 0.586 * [taylor]: Rewrote expression to (+ (* 0.125 x) 0.5) 0.586 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.586 * [taylor]: Taking taylor expansion of 0.125 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of 0.5 in x 0.586 * [taylor]: Taking taylor expansion of (fma 0.125 x 0.5) in x 0.586 * [taylor]: Rewrote expression to (+ (* 0.125 x) 0.5) 0.586 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.586 * [taylor]: Taking taylor expansion of 0.125 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of 0.5 in x 0.593 * [approximate]: Taking taylor expansion of (fma 0.125 (* -1 x) 0.5) in (x) around 0 0.593 * [taylor]: Taking taylor expansion of (fma 0.125 (* -1 x) 0.5) in x 0.593 * [taylor]: Rewrote expression to (+ (* 0.125 (* -1 x)) 0.5) 0.593 * [taylor]: Taking taylor expansion of (* 0.125 (* -1 x)) in x 0.593 * [taylor]: Taking taylor expansion of 0.125 in x 0.593 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 0.5 in x 0.593 * [taylor]: Taking taylor expansion of (fma 0.125 (* -1 x) 0.5) in x 0.593 * [taylor]: Rewrote expression to (+ (* 0.125 (* -1 x)) 0.5) 0.593 * [taylor]: Taking taylor expansion of (* 0.125 (* -1 x)) in x 0.593 * [taylor]: Taking taylor expansion of 0.125 in x 0.593 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 0.5 in x 0.605 * * * [progress]: simplifying candidates 0.606 * [simplify]: Simplifying using # : (expm1 (fma 0.125 (/ 1 x) 0.5)) (log1p (fma 0.125 (/ 1 x) 0.5)) (* 0.125 (/ 1 x)) (log (fma 0.125 (/ 1 x) 0.5)) (exp (fma 0.125 (/ 1 x) 0.5)) (* (cbrt (fma 0.125 (/ 1 x) 0.5)) (cbrt (fma 0.125 (/ 1 x) 0.5))) (cbrt (fma 0.125 (/ 1 x) 0.5)) (* (* (fma 0.125 (/ 1 x) 0.5) (fma 0.125 (/ 1 x) 0.5)) (fma 0.125 (/ 1 x) 0.5)) (sqrt (fma 0.125 (/ 1 x) 0.5)) (sqrt (fma 0.125 (/ 1 x) 0.5)) (+ (* 0.125 (/ 1 x)) 0.5) (+ 0.5 (* 0.125 (/ 1 x))) (+ 0.5 (* 0.125 (/ 1 x))) 0.608 * * [simplify]: iteration 0 : 24 enodes (cost 44 ) 0.609 * * [simplify]: iteration 1 : 56 enodes (cost 39 ) 0.611 * * [simplify]: iteration 2 : 186 enodes (cost 38 ) 0.615 * * [simplify]: iteration 3 : 617 enodes (cost 38 ) 0.630 * * [simplify]: iteration 4 : 2880 enodes (cost 38 ) 0.670 * * [simplify]: iteration 5 : 5001 enodes (cost 38 ) 0.671 * [simplify]: Simplified to: (expm1 (fma 0.125 (/ 1 x) 0.5)) (log1p (fma 0.125 (/ 1 x) 0.5)) (/ 0.125 x) (log (fma 0.125 (/ 1 x) 0.5)) (exp (fma 0.125 (/ 1 x) 0.5)) (* (cbrt (fma 0.125 (/ 1 x) 0.5)) (cbrt (fma 0.125 (/ 1 x) 0.5))) (cbrt (fma 0.125 (/ 1 x) 0.5)) (pow (fma 0.125 (/ 1 x) 0.5) 3) (sqrt (fma 0.125 (/ 1 x) 0.5)) (sqrt (fma 0.125 (/ 1 x) 0.5)) (fma 0.125 (/ 1 x) 0.5) (fma 0.125 (/ 1 x) 0.5) (fma 0.125 (/ 1 x) 0.5) 0.671 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 3 / 4 0.697 * * * [progress]: picking best candidate 0.700 * * * * [pick]: Picked # 0.701 * * * [progress]: localizing error 0.710 * * * [progress]: generating rewritten candidates 0.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.753 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.838 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.853 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.879 * * * [progress]: generating series expansions 0.880 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.880 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) x)) in (x) around 0 0.880 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) x)) in x 0.880 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) x) in x 0.880 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 0.880 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) x)) in x 0.887 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) x) in x 0.887 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 0.887 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.930 * [approximate]: Taking taylor expansion of (sqrt (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x)) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x) in x 0.930 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (sqrt (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x) in x 0.938 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of x in x 1.001 * [approximate]: Taking taylor expansion of (* (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) (sqrt (/ -1 x))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) (sqrt (/ -1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.001 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.011 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.011 * [taylor]: Taking taylor expansion of -1 in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) (sqrt (/ -1 x))) in x 1.013 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.013 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.013 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.013 * [taylor]: Taking taylor expansion of -1 in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.014 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.014 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.023 * [taylor]: Taking taylor expansion of -1 in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.159 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.159 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x))))) in (x) around 0 1.159 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x))))) in x 1.160 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x)))) in x 1.160 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 1.160 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (* x (+ (sqrt 1.0) (sqrt x))) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 1.161 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x))))) in x 1.171 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x)))) in x 1.171 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 1.171 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (* x (+ (sqrt 1.0) (sqrt x))) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 1.173 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.173 * [taylor]: Taking taylor expansion of 1.0 in x 1.173 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.249 * [approximate]: Taking taylor expansion of (sqrt (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x)) in (x) around 0 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x) in x 1.249 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 1.249 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 1.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.250 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 1.251 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (sqrt (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x)) in x 1.274 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x) in x 1.275 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 1.275 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 1.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 1.276 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.460 * [approximate]: Taking taylor expansion of (* (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) (sqrt (/ -1 x))) in (x) around 0 1.460 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) (sqrt (/ -1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) in x 1.460 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.460 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 1.460 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.462 * [taylor]: Taking taylor expansion of -1 in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.463 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.497 * [taylor]: Taking taylor expansion of -1 in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) (sqrt (/ -1 x))) in x 1.504 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) in x 1.504 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.504 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 1.504 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.505 * [taylor]: Taking taylor expansion of -1 in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.506 * [taylor]: Taking taylor expansion of -1 in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in x 1.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.542 * [taylor]: Taking taylor expansion of -1 in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.986 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.987 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt x))) in (x) around 0 1.987 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt x))) in x 1.987 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 1.987 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.987 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.991 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt x))) in x 1.991 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 1.991 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.991 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.992 * [taylor]: Taking taylor expansion of x in x 2.014 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ 1 x)))) in (x) around 0 2.014 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.014 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 2.014 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.014 * [taylor]: Taking taylor expansion of 1.0 in x 2.015 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.022 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 2.022 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.022 * [taylor]: Taking taylor expansion of 1.0 in x 2.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.054 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ -1 x)))) in (x) around 0 2.054 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ -1 x)))) in x 2.054 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 2.054 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.054 * [taylor]: Taking taylor expansion of 1.0 in x 2.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.055 * [taylor]: Taking taylor expansion of -1 in x 2.055 * [taylor]: Taking taylor expansion of x in x 2.066 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ -1 x)))) in x 2.067 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 2.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.067 * [taylor]: Taking taylor expansion of 1.0 in x 2.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.067 * [taylor]: Taking taylor expansion of -1 in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.099 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.099 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt x) (sqrt 1.0))) in (x) around 0 2.099 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt x) (sqrt 1.0))) in x 2.099 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 2.099 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.105 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt x) (sqrt 1.0))) in x 2.105 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 2.105 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.106 * [taylor]: Taking taylor expansion of 1.0 in x 2.135 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (/ 1 x)) (sqrt 1.0))) in (x) around 0 2.135 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ 1 x)) (sqrt 1.0))) in x 2.135 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 2.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.136 * [taylor]: Taking taylor expansion of 1.0 in x 2.145 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ 1 x)) (sqrt 1.0))) in x 2.145 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 2.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.151 * [taylor]: Taking taylor expansion of 1.0 in x 2.194 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in (x) around 0 2.194 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 2.194 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 2.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.195 * [taylor]: Taking taylor expansion of -1 in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.196 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 2.204 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 2.204 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.204 * [taylor]: Taking taylor expansion of -1 in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.205 * [taylor]: Taking taylor expansion of 1.0 in x 2.254 * * * [progress]: simplifying candidates 2.256 * [simplify]: Simplifying using # : (expm1 (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (log1p (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (- (sqrt x) (sqrt 1.0)) x) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (- (sqrt x) (sqrt 1.0)) x) (+ (log (sqrt (- (sqrt x) (sqrt 1.0)))) (log (sqrt x))) (log (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (exp (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (cbrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (cbrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (- (sqrt x) (sqrt 1.0)) x) (sqrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (sqrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt 1)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) 1) (* (cbrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (cbrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x)) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x)) (expm1 (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (log1p (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) x)) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) x)) (+ (log (sqrt (+ (sqrt x) (sqrt 1.0)))) (+ (log (sqrt (- (sqrt x) (sqrt 1.0)))) (log (sqrt x)))) (+ (log (sqrt (+ (sqrt x) (sqrt 1.0)))) (log (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (log (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (exp (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (* (sqrt x) (sqrt x)) (sqrt x)))) (* (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (cbrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (cbrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))))) (cbrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) x)) (sqrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (sqrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x))) (* (sqrt (+ (* (sqrt x) (sqrt x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))))) (sqrt (+ (* (sqrt x) (sqrt x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0)))))) (* (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x))) (* (sqrt (+ (* (sqrt x) (sqrt x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (+ (* (sqrt x) (sqrt x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0)))))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (cbrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (cbrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x))) (* (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (expm1 (sqrt (+ (sqrt x) (sqrt 1.0)))) (log1p (sqrt (+ (sqrt x) (sqrt 1.0)))) (log (sqrt (+ (sqrt x) (sqrt 1.0)))) (exp (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (cbrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (cbrt (sqrt (+ (sqrt x) (sqrt 1.0))))) (cbrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (* (cbrt (+ (sqrt x) (sqrt 1.0))) (cbrt (+ (sqrt x) (sqrt 1.0))))) (sqrt (cbrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt 1) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (sqrt 1)) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt 1) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* (sqrt x) (sqrt x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (expm1 (sqrt (- (sqrt x) (sqrt 1.0)))) (log1p (sqrt (- (sqrt x) (sqrt 1.0)))) (log (sqrt (- (sqrt x) (sqrt 1.0)))) (exp (sqrt (- (sqrt x) (sqrt 1.0)))) (* (cbrt (sqrt (- (sqrt x) (sqrt 1.0)))) (cbrt (sqrt (- (sqrt x) (sqrt 1.0))))) (cbrt (sqrt (- (sqrt x) (sqrt 1.0)))) (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (* (cbrt (- (sqrt x) (sqrt 1.0))) (cbrt (- (sqrt x) (sqrt 1.0))))) (sqrt (cbrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt 1) (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (sqrt 1)) (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt 1) (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* (sqrt x) (sqrt x)) (+ (* 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1.0))) 3))) (- (* +nan.0 (/ x (sqrt (- (sqrt 1.0)))))))))) (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))))))))) (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))))))))) 2.267 * * [simplify]: iteration 0 : 1038 enodes (cost 1727 ) 2.284 * * [simplify]: iteration 1 : 3931 enodes (cost 1558 ) 2.344 * * [simplify]: iteration 2 : 5001 enodes (cost 1528 ) 2.350 * [simplify]: Simplified to: (expm1 (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (log1p (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (- (sqrt x) (sqrt 1.0)) x) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (- (sqrt x) (sqrt 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1.0)) (- (pow (sqrt 1.0) 2) +nan.0)))) 3))) (fma (- (sqrt (- (+ (* +nan.0 (sqrt 1.0)) (- (pow (sqrt 1.0) 2) +nan.0))))) +nan.0 (/ (/ +nan.0 (pow x 2)) (sqrt (- (+ (* +nan.0 (sqrt 1.0)) (- (pow (sqrt 1.0) 2) +nan.0)))))))))))))) (+ (- (sqrt (sqrt 1.0)) (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (* (sqrt (/ 1 (sqrt 1.0))) (- (* +nan.0 (pow x 2)) (* +nan.0 x)))) (+ (- (sqrt (- (sqrt 1.0) +nan.0)) (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (sqrt 1.0) +nan.0) 3)))))) (* (sqrt (/ 1 (- (sqrt 1.0) +nan.0))) (- (* +nan.0 (/ 1 x)) (* +nan.0 (/ 1 (pow x 2)))))) (+ (- (sqrt (- (sqrt 1.0) +nan.0)) (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (sqrt 1.0) +nan.0) 3)))))) (* (sqrt (/ 1 (- (sqrt 1.0) +nan.0))) (- (* +nan.0 (/ 1 x)) (* +nan.0 (/ 1 (pow x 2)))))) (+ (- (sqrt (- (sqrt 1.0))) (* +nan.0 (/ (pow x 2) (sqrt (- (sqrt 1.0)))))) (* +nan.0 (- (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (/ x (sqrt (- (sqrt 1.0))))))) (+ (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3))))) (* +nan.0 (- (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))) (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))))) (+ (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3))))) (* +nan.0 (- (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))) (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))))) 2.351 * * * [progress]: adding candidates to table 2.697 * * [progress]: iteration 4 / 4 2.697 * * * [progress]: picking best candidate 2.699 * * * * [pick]: Picked # 2.699 * * * [progress]: localizing error 2.703 * * * [progress]: generating rewritten candidates 2.703 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.719 * * * [progress]: generating series expansions 2.719 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.719 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 2.719 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 2.719 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 2.719 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.723 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 2.723 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 2.723 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.723 * [taylor]: Taking taylor expansion of x in x 2.723 * [taylor]: Taking taylor expansion of 1.0 in x 2.723 * [taylor]: Taking taylor expansion of x in x 2.733 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 2.733 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 2.733 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.733 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.737 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 2.738 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.738 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.745 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 2.745 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.745 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.745 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.745 * [taylor]: Taking taylor expansion of 1.0 in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.748 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.748 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.748 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.748 * [taylor]: Taking taylor expansion of 1.0 in x 2.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.758 * * * [progress]: simplifying candidates 2.758 * [simplify]: Simplifying using # : (expm1 (sqrt (* x (- x 1.0)))) (log1p (sqrt (* x (- x 1.0)))) (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (* (* (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0)))) (sqrt (* x (- x 1.0)))) (sqrt x) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 2.761 * * [simplify]: iteration 0 : 118 enodes (cost 82 ) 2.764 * * [simplify]: iteration 1 : 306 enodes (cost 77 ) 2.769 * * [simplify]: iteration 2 : 1115 enodes (cost 74 ) 2.793 * * [simplify]: iteration 3 : 4409 enodes (cost 73 ) 2.915 * * [simplify]: iteration 4 : 5001 enodes (cost 73 ) 2.915 * [simplify]: Simplified to: (expm1 (sqrt (* x (- x 1.0)))) (log1p (sqrt (* x (- x 1.0)))) (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (pow (sqrt (* x (- x 1.0))) 3) (pow x 1/2) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* +nan.0 (fma (- x) x (- (pow x 3) x))) (- x (fma 0.125 (/ 1 x) 0.5)) (fma 0.125 (/ 1 x) (- 0.5 x)) 2.916 * * * [progress]: adding candidates to table 2.947 * [progress]: [Phase 3 of 3] Extracting. 2.947 * * [regime]: Finding splitpoints for: (# # #) 2.948 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.948 * * * * [regimes]: Trying to branch on x from (# # #) 2.965 * * * [regime]: Found split indices: #