6.022 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.033 * [simplify]: Sending expressions to egg_math: (- (/ h0 (sqrt h1)) (/ h0 (sqrt (+ h1 h0)))) 0.036 * * [simplify]: iteration 0 : 11 enodes (cost 6 ) 0.038 * * [simplify]: iteration 1 : 14 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 14 enodes (cost 6 ) 0.039 * [simplify]: Simplified to: (- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0)))) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.137 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.143 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.231 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.231 * [approximate]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in x 0.231 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.233 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt (/ 1 x))) (* 1.0 (sqrt (/ 1 (+ x 1.0))))) in x 0.237 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.238 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [approximate]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 0.302 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (- (* 1.0 (sqrt x)) (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x)))))) in x 0.305 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.339 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (sqrt (/ -1 x)))) (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 0.343 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.367 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.367 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.380 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.391 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 0.391 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.393 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.404 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.404 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ x 1.0)))) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in (x) around 0 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) 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 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ 1.0 (/ 1 x))))) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ 1.0 (/ 1 x)))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.460 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.479 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.479 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.479 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.481 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.498 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.507 * * * [progress]: simplifying candidates 0.534 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (cbrt (/ 1.0 (sqrt (+ x 1.0)))))))) (fma (- (cbrt (/ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (cbrt (/ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (/ 1.0 (sqrt (+ x 1.0)))) (cbrt (/ 1.0 (sqrt (+ x 1.0))))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (sqrt (/ 1.0 (sqrt (+ x 1.0)))) (sqrt (/ 1.0 (sqrt (+ x 1.0))))))) (fma (- (sqrt (/ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (sqrt (+ x 1.0)))) (* (sqrt (/ 1.0 (sqrt (+ x 1.0)))) (sqrt (/ 1.0 (sqrt (+ x 1.0)))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (cbrt 1.0) (cbrt (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))))) (fma (- (/ (cbrt 1.0) (cbrt (sqrt (+ x 1.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (/ (cbrt 1.0) (cbrt (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (cbrt 1.0) (sqrt (cbrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))))) (fma (- (/ (cbrt 1.0) (sqrt (cbrt (+ x 1.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (/ (cbrt 1.0) (sqrt (cbrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0))))))) (fma (- (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0)))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))))) (fma (- (/ (cbrt 1.0) (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))))) (fma (- (/ (cbrt 1.0) (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0))))))) (fma (- (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0)))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (fma (- (/ (cbrt 1.0) (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (sqrt 1.0) (cbrt (sqrt (+ x 1.0)))) (/ (sqrt 1.0) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))))) (fma (- (/ (sqrt 1.0) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (/ (sqrt 1.0) (cbrt (sqrt (+ x 1.0)))) (/ (sqrt 1.0) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (sqrt 1.0) (sqrt (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))))) (fma (- (/ (sqrt 1.0) (sqrt (cbrt (+ x 1.0))))) (/ (sqrt 1.0) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (/ (sqrt 1.0) (sqrt (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))))) (fma (* (cbrt (/ 1.0 (sqrt x))) (cbrt (/ 1.0 (sqrt x)))) (cbrt (/ 1.0 (sqrt x))) (- (* (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 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(cbrt h0)) (/ (sqrt (+ h1 h0)) (sqrt h0)) (/ (sqrt (+ h1 h0)) h0) (/ h0 (sqrt (+ (pow h1 3) (pow h0 3)))) (/ h0 (sqrt (- (* h1 h1) (* h0 h0)))) (expm1 (sqrt (+ h1 h0))) (log1p (sqrt (+ h1 h0))) (log (sqrt (+ h1 h0))) (exp (sqrt (+ h1 h0))) (* (cbrt (sqrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0)))) (cbrt (sqrt (+ h1 h0))) (* (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (sqrt (+ h1 h0))) (sqrt (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (cbrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt 1) (sqrt (+ h1 h0)) (sqrt 1) (sqrt (+ h1 h0)) (sqrt (+ (pow h1 3) (pow h0 3))) (sqrt (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (sqrt (- h1 h0)) (/ 1 2) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (- (+ (* h2 (/ h1 (sqrt h0))) (* h3 (/ (pow h1 2) (pow (sqrt h0) 3)))) (+ h4 (- (+ (* h0 (sqrt h0)) (* h2 (/ (pow h1 2) (sqrt h0)))) (+ (* h4 (pow h1 2)) (- (* h4 h1)))))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- (* h4 (/ 1 (pow h1 3)))))))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- h4))))) (- (+ (* h4 (pow h1 2)) (- (+ (* h4 h1) (- h4))))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- (* h4 (/ 1 (pow h1 3)))))))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- h4))))) (- (+ (* h0 (sqrt h0)) (* h2 (/ (pow h1 2) (sqrt h0)))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 3))) (* h2 (/ h1 (sqrt h0))))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- (* h4 (/ 1 (pow h1 3)))))))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- (* h4 (/ 1 (pow h1 3)))))))) (- (+ (sqrt h0) (* 1/2 (/ h1 (sqrt h0)))) (* 1/8 (/ (pow h1 2) (pow (sqrt h0) 3)))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- h4))))) (- (+ (* h4 (/ 1 (pow h1 2))) (- (+ (* h4 (/ 1 h1)) (- h4))))) 0.592 * * [simplify]: iteration 0 : 1538 enodes (cost 25021 ) 0.612 * * [simplify]: iteration 1 : 4278 enodes (cost 18390 ) 0.669 * * [simplify]: iteration 2 : 5001 enodes (cost 18355 ) 0.740 * [simplify]: Simplified to: (- (* (* (cbrt (/ 1.0 (sqrt x))) 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1.0)))) (- 1.0) (- (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (cbrt 1.0) (cbrt (sqrt (+ x 1.0)))) (/ (cbrt 1.0) (/ (fabs (cbrt (+ x 1.0))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0)))) (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (+ x 1.0)))) (/ (cbrt 1.0) (sqrt (sqrt (+ x 1.0)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (cbrt (sqrt (+ x 1.0)))) (/ (sqrt 1.0) (* (fabs (cbrt (+ x 1.0))) 1)) (/ (sqrt 1.0) (sqrt (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt 1.0) (sqrt (sqrt (+ x 1.0)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ 1 (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ 1.0 (cbrt (sqrt (+ x 1.0)))) (/ 1 (* (fabs (cbrt (+ x 1.0))) 1)) (/ 1.0 (sqrt (cbrt (+ x 1.0)))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ 1.0 (sqrt (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (+ x 1.0))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (+ x 1.0))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ 1.0 (sqrt (sqrt (+ x 1.0)))) 1 (/ 1.0 (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ 1.0 (* (fabs (cbrt (+ x 1.0))) 1)) (/ 1.0 (sqrt (sqrt (+ x 1.0)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (+ x 1.0)))) 1.0 (/ (sqrt (+ x 1.0)) (cbrt 1.0)) (/ (sqrt (+ x 1.0)) (sqrt 1.0)) (/ (sqrt (+ x 1.0)) 1.0) (/ 1.0 (sqrt (+ (pow x 3) (pow 1.0 3)))) (/ 1.0 (sqrt (- (* x x) (* 1.0 1.0)))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (- (fma 0.5 (/ x (sqrt 1.0)) (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)))) +nan.0) (fma 1.0 (sqrt 1.0) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (* +nan.0 (- (pow x 2) x))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (pow x 2))) (fma +nan.0 x (- +nan.0))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (sqrt 1.0) 1.0 (- (* 0.5 (/ (pow x 2) (sqrt 1.0))) (fma 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ x (sqrt 1.0)))))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (+ (* +nan.0 (- (/ 1 x) (/ 1 (pow x 3)))) (/ (- +nan.0) (pow x 2))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 0.749 * * * [progress]: adding candidates to table 1.952 * * [progress]: iteration 2 / 4 1.952 * * * [progress]: picking best candidate 2.008 * * * * [pick]: Picked # 2.008 * * * [progress]: localizing error 2.016 * * * [progress]: generating rewritten candidates 2.016 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.067 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.091 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.179 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.191 * * * [progress]: generating series expansions 2.191 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.192 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.192 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.192 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.192 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [taylor]: Taking taylor expansion of 1.0 in x 2.194 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.195 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.195 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.195 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.195 * [taylor]: Taking taylor expansion of x in x 2.195 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.217 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 2.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.217 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.217 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.220 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.220 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.236 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.236 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.236 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.236 * [taylor]: Taking taylor expansion of 1.0 in x 2.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.236 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.238 * [taylor]: Taking taylor expansion of -1 in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.239 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.239 * [taylor]: Taking taylor expansion of 1.0 in x 2.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.239 * [taylor]: Taking taylor expansion of x in x 2.241 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of x in x 2.256 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.256 * [approximate]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in (x) around 0 2.257 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.257 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.257 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of 1.0 in x 2.266 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.266 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.266 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.266 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.275 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.275 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.275 * [taylor]: Taking taylor expansion of 1.0 in x 2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.278 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.278 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.278 * [taylor]: Taking taylor expansion of 1.0 in x 2.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.285 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.285 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.285 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.285 * [taylor]: Taking taylor expansion of 1.0 in x 2.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.286 * [taylor]: Taking taylor expansion of -1 in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.288 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.288 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.288 * [taylor]: Taking taylor expansion of 1.0 in x 2.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.288 * [taylor]: Taking taylor expansion of x in x 2.289 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.289 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.289 * [taylor]: Taking taylor expansion of -1 in x 2.289 * [taylor]: Taking taylor expansion of x in x 2.316 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.316 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 2.316 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x)))) in x 2.316 * [taylor]: Taking taylor expansion of 1.0 in x 2.317 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x))) in x 2.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 2.317 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 2.317 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [taylor]: Taking taylor expansion of 1.0 in x 2.320 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.320 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.320 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [taylor]: Taking taylor expansion of 1.0 in x 2.321 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.322 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x)))) in x 2.322 * [taylor]: Taking taylor expansion of 1.0 in x 2.322 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* x (+ x 1.0)))) (- (sqrt (+ x 1.0)) (sqrt x))) in x 2.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 2.323 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 2.323 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.323 * [taylor]: Taking taylor expansion of x in x 2.323 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.323 * [taylor]: Taking taylor expansion of x in x 2.323 * [taylor]: Taking taylor expansion of 1.0 in x 2.325 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.325 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.325 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.325 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of 1.0 in x 2.327 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.327 * [taylor]: Taking taylor expansion of x in x 2.451 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) in (x) around 0 2.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) in x 2.451 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 2.451 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.455 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.455 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.455 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.455 * [taylor]: Taking taylor expansion of 1.0 in x 2.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.455 * [taylor]: Taking taylor expansion of x in x 2.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.458 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))))) in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [taylor]: Taking taylor expansion of (* (sqrt (/ x (+ 1.0 (/ 1 x)))) (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) in x 2.458 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 2.458 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 2.458 * [taylor]: Taking taylor expansion of x in x 2.458 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.458 * [taylor]: Taking taylor expansion of x in x 2.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.462 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.462 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.462 * [taylor]: Taking taylor expansion of 1.0 in x 2.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.462 * [taylor]: Taking taylor expansion of x in x 2.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.503 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in (x) around 0 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 2.503 * [taylor]: Taking taylor expansion of 1.0 in x 2.503 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 2.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.503 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.503 * [taylor]: Taking taylor expansion of 1.0 in x 2.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.503 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 2.505 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.505 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.505 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.505 * [taylor]: Taking taylor expansion of 1.0 in x 2.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.507 * [taylor]: Taking taylor expansion of -1 in x 2.507 * [taylor]: Taking taylor expansion of x in x 2.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.508 * [taylor]: Taking taylor expansion of -1 in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))))) in x 2.511 * [taylor]: Taking taylor expansion of 1.0 in x 2.511 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 x)))) (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x)))) in x 2.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 2.511 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 2.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.511 * [taylor]: Taking taylor expansion of 1.0 in x 2.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.513 * [taylor]: Taking taylor expansion of (/ (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (sqrt (/ -1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.513 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.515 * [taylor]: Taking taylor expansion of -1 in x 2.515 * [taylor]: Taking taylor expansion of x in x 2.516 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.516 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.516 * [taylor]: Taking taylor expansion of -1 in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.584 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.584 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.584 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.584 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.584 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.586 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [taylor]: Taking taylor expansion of 1.0 in x 2.595 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 2.595 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.595 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.595 * [taylor]: Taking taylor expansion of 1.0 in x 2.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.596 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.596 * [taylor]: Taking taylor expansion of 1.0 in x 2.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.603 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.603 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.604 * [taylor]: Taking taylor expansion of 1.0 in x 2.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.605 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.605 * [taylor]: Taking taylor expansion of 1.0 in x 2.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.605 * [taylor]: Taking taylor expansion of x in x 2.613 * * * [progress]: simplifying candidates 2.615 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (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))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (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)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (* (sqrt x) (sqrt (+ x 1.0)))) (log1p (* (sqrt x) (sqrt (+ x 1.0)))) (* x (+ x 1.0)) (* (sqrt x) (sqrt (+ x 1.0))) (* x (+ x 1.0)) (+ (log (sqrt x)) (log (sqrt (+ x 1.0)))) (log (* (sqrt x) (sqrt (+ x 1.0)))) (exp (* (sqrt x) (sqrt (+ x 1.0)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (* (cbrt (* (sqrt x) (sqrt (+ x 1.0)))) (cbrt (* (sqrt x) (sqrt (+ x 1.0))))) (cbrt (* (sqrt x) (sqrt (+ x 1.0)))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0)))) (* x (+ x 1.0)) (sqrt (* (sqrt x) (sqrt (+ x 1.0)))) (sqrt (* (sqrt x) (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 (sqrt (+ x 1.0)))) (* (sqrt x) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (sqrt x) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (sqrt x) (sqrt (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt (sqrt (+ x 1.0)))) (* (sqrt x) 1) (* (cbrt (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt (cbrt x)) (sqrt (+ x 1.0))) (* (sqrt (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt (sqrt x)) (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)))) (expm1 (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (+ (log 1.0) (log (- (sqrt (+ x 1.0)) (sqrt x)))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (+ (log 1.0) (log (- (sqrt (+ x 1.0)) (sqrt x)))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (- (log (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (log (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (log (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (exp (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (* (* (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0)))) (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt x) (sqrt (+ x 1.0)))) (/ 1.0 (sqrt x)) (/ (- (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ x 1.0))) (/ 1 (* (sqrt x) (sqrt (+ x 1.0)))) (/ (* (sqrt x) (sqrt (+ x 1.0))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt x)) (/ (* (sqrt x) (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)) (sqrt x))) (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ (pow x 3) (pow 1.0 3))))) (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0))))) (* (* (sqrt x) (sqrt (+ x 1.0))) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.616 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt h0) (sqrt 1)))) (fma (- (sqrt h0)) (sqrt 1) (* (sqrt h0) (sqrt 1))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt (sqrt h0)) (sqrt (sqrt h0))))) (fma (- (sqrt (sqrt h0))) (sqrt (sqrt h0)) (* (sqrt (sqrt h0)) (sqrt (sqrt h0)))) (fma (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (- (* (sqrt h0) 1))) (fma (- (sqrt h0)) 1 (* (sqrt h0) 1)) (fma (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt 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(sqrt h0) (sqrt (+ h0 h1)))) (log1p (* (sqrt h0) (sqrt (+ h0 h1)))) (* h0 (+ h0 h1)) (* (sqrt h0) (sqrt (+ h0 h1))) (* h0 (+ h0 h1)) (+ (log (sqrt h0)) (log (sqrt (+ h0 h1)))) (log (* (sqrt h0) (sqrt (+ h0 h1)))) (exp (* (sqrt h0) (sqrt (+ h0 h1)))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1)))) (* (cbrt (* (sqrt h0) (sqrt (+ h0 h1)))) (cbrt (* (sqrt h0) (sqrt (+ h0 h1))))) (cbrt (* (sqrt h0) (sqrt (+ h0 h1)))) (* (* (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1)))) (* (sqrt h0) (sqrt (+ h0 h1)))) (* h0 (+ h0 h1)) (sqrt (* (sqrt h0) (sqrt (+ h0 h1)))) (sqrt (* (sqrt h0) (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt h0) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (* (sqrt h0) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (* (sqrt h0) (sqrt 1)) (* (sqrt h0) (sqrt 1)) (* (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (* (sqrt h0) 1) (* (cbrt (sqrt h0)) (sqrt (+ h0 h1))) (* (sqrt (cbrt h0)) (sqrt (+ h0 h1))) (* (sqrt (sqrt h0)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt (sqrt h0)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ (pow h0 3) (pow h1 3)))) (* (sqrt h0) (sqrt (- (* h0 h0) (* h1 h1)))) (expm1 (/ (* h1 (- (sqrt (+ h0 h1)) (sqrt h0))) (* (sqrt h0) (sqrt (+ h0 h1))))) (log1p (/ (* h1 (- (sqrt (+ h0 h1)) (sqrt h0))) (* (sqrt h0) (sqrt (+ h0 h1))))) (- (+ (log h1) (log (- (sqrt (+ h0 h1)) (sqrt h0)))) (+ (log (sqrt h0)) (log (sqrt (+ h0 h1))))) (- (+ (log h1) (log (- (sqrt (+ h0 h1)) (sqrt h0)))) (log (* (sqrt h0) (sqrt (+ h0 h1))))) (- (log (* h1 (- (sqrt (+ h0 h1)) (sqrt h0)))) (+ (log 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(/ (* (sqrt h0) (sqrt (+ h0 h1))) (* h1 (- (sqrt (+ h0 h1)) (sqrt h0)))) (/ (* h1 (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt h0)) (/ (* (sqrt h0) (sqrt (+ h0 h1))) (- (sqrt (+ h0 h1)) (sqrt h0))) (/ (* h1 (- (sqrt (+ h0 h1)) (sqrt h0))) (* (sqrt h0) (sqrt (+ (pow h0 3) (pow h1 3))))) (/ (* h1 (- (sqrt (+ h0 h1)) (sqrt h0))) (* (sqrt h0) (sqrt (- (* h0 h0) (* h1 h1))))) (* (* (sqrt h0) (sqrt (+ h0 h1))) (+ (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (+ (* (sqrt h0) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0))))) (* (* (sqrt h0) (sqrt (+ h0 h1))) (+ (sqrt (+ h0 h1)) (sqrt h0))) (expm1 (sqrt (+ h0 h1))) (log1p (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (+ (* h2 (pow h0 2)) (- (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3))) (* h2 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0)))))) (- (+ h3 h0) (* h4 (/ 1 h0))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (sqrt h1)) (- (+ (* h2 (/ (pow h0 2) (sqrt h1))) (- (+ (* h2 (* h0 (sqrt h1))) (- (+ (* h2 h0) (- (+ (* h2 (* (pow h0 2) (sqrt h1))) (- (+ (* h2 (/ h0 (sqrt h1))) (- (* h2 (/ (pow h0 2) (pow (sqrt h1) 3)))))))))))))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 3)))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- (* h2 (/ 1 (pow h0 3)))))))) (- (+ (sqrt h1) 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(sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (sqrt (cbrt x)) (- (fabs (cbrt x))))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt 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(sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (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) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ x (- 1.0 x)) (+ (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)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (* (sqrt x) (sqrt (+ x 1.0)))) (log1p (* (sqrt x) (sqrt (+ x 1.0)))) (* x (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt x)) (* x (+ x 1.0)) (log (* (sqrt x) (sqrt (+ x 1.0)))) (log (* (sqrt x) (sqrt (+ x 1.0)))) (exp (* (sqrt x) (sqrt (+ x 1.0)))) (pow (* (sqrt (+ x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt x) (sqrt (+ x 1.0)))) (cbrt (* (sqrt x) (sqrt (+ x 1.0))))) (cbrt (* (sqrt x) (sqrt (+ x 1.0)))) (pow (* (sqrt (+ x 1.0)) (sqrt x)) 3) (* x (+ x 1.0)) (sqrt (* (sqrt x) (sqrt (+ x 1.0)))) (sqrt (* (sqrt x) (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 (sqrt (+ x 1.0)))) (* (sqrt x) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (sqrt (+ x 1.0)))) (sqrt x) (sqrt x) (* (sqrt x) (sqrt (sqrt (+ x 1.0)))) (sqrt x) (* (cbrt (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt (cbrt x)) (sqrt (+ x 1.0))) (* (sqrt (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) (hypot (pow 1.0 3/2) (pow x 3/2))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (expm1 (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (+ (log1p (- (/ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (sqrt x)))) (+ (log1p (- (/ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (sqrt x)))) (+ (log1p (- (/ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (sqrt x)))) (+ (log1p (- (/ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (sqrt x)))) (+ (log1p (- (/ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (sqrt x)))) (pow (exp (+ 1 (- (/ (sqrt x) (sqrt (+ x 1.0)))))) (/ 1.0 (sqrt x))) (pow (* (+ 1 (- (/ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt x))) 3) (pow (* (+ 1 (- (/ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt x))) 3) (pow (* (+ 1 (- (/ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt x))) 3) (pow (* (+ 1 (- (/ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt x))) 3) (* (cbrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (pow (* (+ 1 (- (/ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt x))) 3) (sqrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt x) (sqrt (+ x 1.0)))) (/ 1.0 (sqrt x)) (+ 1 (- (/ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (* (sqrt x) (sqrt (+ x 1.0)))) (/ (* (sqrt x) (sqrt (+ x 1.0))) (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x)))) (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt x)) (/ (* (sqrt x) (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0)) (sqrt x))) (* (/ (- (sqrt (+ x 1.0)) (sqrt x)) (sqrt x)) (/ 1.0 (hypot (pow 1.0 3/2) (pow x 3/2)))) (/ (* 1.0 (- (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0))))) (fma (* (sqrt (+ x 1.0)) (sqrt x)) (+ (+ x 1.0) x) (* x (+ x 1.0))) (fma (sqrt x) (+ x 1.0) (* x (sqrt (+ x 1.0)))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (- (pow x 2)) +nan.0 (fma (sqrt 1.0) +nan.0 (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (* x (sqrt 1.0)) (fma (- +nan.0) x (fma +nan.0 (* (pow x 2) (sqrt 1.0)) (fma (- +nan.0) (/ x (sqrt 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.709 * * * [progress]: adding candidates to table 3.025 * * [progress]: iteration 3 / 4 3.026 * * * [progress]: picking best candidate 3.080 * * * * [pick]: Picked # 3.080 * * * [progress]: localizing error 3.091 * * * [progress]: generating rewritten candidates 3.092 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.108 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.135 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.190 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 3.228 * * * [progress]: generating series expansions 3.228 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.228 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.228 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.228 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.228 * [taylor]: Taking taylor expansion of 1.0 in x 3.228 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.229 * [approximate]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in (x) around 0 3.229 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 3.229 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 3.229 * [taylor]: Taking taylor expansion of x in x 3.229 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.229 * [taylor]: Taking taylor expansion of x in x 3.229 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 3.232 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 3.232 * [taylor]: Taking taylor expansion of x in x 3.232 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.232 * [taylor]: Taking taylor expansion of x in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.241 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 3.241 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.241 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.241 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.241 * [taylor]: Taking taylor expansion of 1.0 in x 3.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.241 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.244 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.244 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.244 * [taylor]: Taking taylor expansion of 1.0 in x 3.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.251 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 3.251 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.251 * [taylor]: Taking taylor expansion of 1.0 in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.253 * [taylor]: Taking taylor expansion of -1 in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.254 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.254 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.254 * [taylor]: Taking taylor expansion of 1.0 in x 3.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.254 * [taylor]: Taking taylor expansion of x in x 3.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.256 * [taylor]: Taking taylor expansion of -1 in x 3.256 * [taylor]: Taking taylor expansion of x in x 3.288 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.288 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in (x) around 0 3.288 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 3.288 * [taylor]: Taking taylor expansion of 1.0 in x 3.288 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 3.289 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.289 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.289 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.289 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.289 * [taylor]: Taking taylor expansion of x in x 3.289 * [taylor]: Taking taylor expansion of 1.0 in x 3.290 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 3.293 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.295 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 3.295 * [taylor]: Taking taylor expansion of 1.0 in x 3.295 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 3.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.295 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.296 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.296 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.296 * [taylor]: Taking taylor expansion of x in x 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.297 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 3.299 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 3.299 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 3.299 * [taylor]: Taking taylor expansion of x in x 3.299 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.299 * [taylor]: Taking taylor expansion of x in x 3.299 * [taylor]: Taking taylor expansion of 1.0 in x 3.632 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in (x) around 0 3.632 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 3.632 * [taylor]: Taking taylor expansion of 1.0 in x 3.632 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 3.632 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.632 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.632 * [taylor]: Taking taylor expansion of x in x 3.633 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.633 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.633 * [taylor]: Taking taylor expansion of 1.0 in x 3.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.633 * [taylor]: Taking taylor expansion of x in x 3.636 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 3.636 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 3.636 * [taylor]: Taking taylor expansion of x in x 3.636 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.636 * [taylor]: Taking taylor expansion of 1.0 in x 3.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.636 * [taylor]: Taking taylor expansion of x in x 3.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 3.640 * [taylor]: Taking taylor expansion of 1.0 in x 3.640 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 3.640 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.640 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.640 * [taylor]: Taking taylor expansion of x in x 3.641 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.641 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.641 * [taylor]: Taking taylor expansion of 1.0 in x 3.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.641 * [taylor]: Taking taylor expansion of x in x 3.644 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 3.644 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.644 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.644 * [taylor]: Taking taylor expansion of 1.0 in x 3.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.676 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 3.676 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 3.676 * [taylor]: Taking taylor expansion of 1.0 in x 3.676 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 3.676 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 3.676 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 3.676 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.676 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.676 * [taylor]: Taking taylor expansion of -1 in x 3.676 * [taylor]: Taking taylor expansion of x in x 3.678 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.678 * [taylor]: Taking taylor expansion of 1.0 in x 3.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.678 * [taylor]: Taking taylor expansion of x in x 3.679 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.679 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.680 * [taylor]: Taking taylor expansion of -1 in x 3.680 * [taylor]: Taking taylor expansion of x in x 3.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.691 * [taylor]: Taking taylor expansion of 1.0 in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.693 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 3.693 * [taylor]: Taking taylor expansion of 1.0 in x 3.693 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 3.693 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 3.693 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 3.693 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.693 * [taylor]: Taking taylor expansion of -1 in x 3.693 * [taylor]: Taking taylor expansion of x in x 3.694 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.694 * [taylor]: Taking taylor expansion of 1.0 in x 3.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.696 * [taylor]: Taking taylor expansion of -1 in x 3.696 * [taylor]: Taking taylor expansion of x in x 3.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 3.716 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.716 * [taylor]: Taking taylor expansion of 1.0 in x 3.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.716 * [taylor]: Taking taylor expansion of x in x 3.791 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 3.791 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.791 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.791 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.791 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.791 * [taylor]: Taking taylor expansion of x in x 3.791 * [taylor]: Taking taylor expansion of 1.0 in x 3.800 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.800 * [taylor]: Taking taylor expansion of x in x 3.801 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.801 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.801 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.801 * [taylor]: Taking taylor expansion of x in x 3.801 * [taylor]: Taking taylor expansion of 1.0 in x 3.803 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.803 * [taylor]: Taking taylor expansion of x in x 3.822 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 3.822 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.823 * [taylor]: Taking taylor expansion of x in x 3.824 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.824 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.824 * [taylor]: Taking taylor expansion of 1.0 in x 3.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.824 * [taylor]: Taking taylor expansion of x in x 3.825 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.825 * [taylor]: Taking taylor expansion of x in x 3.827 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.827 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.827 * [taylor]: Taking taylor expansion of 1.0 in x 3.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.827 * [taylor]: Taking taylor expansion of x in x 3.841 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 3.841 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.841 * [taylor]: Taking taylor expansion of -1 in x 3.841 * [taylor]: Taking taylor expansion of x in x 3.842 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.842 * [taylor]: Taking taylor expansion of 1.0 in x 3.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.844 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.844 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.844 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.844 * [taylor]: Taking taylor expansion of -1 in x 3.844 * [taylor]: Taking taylor expansion of x in x 3.845 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.845 * [taylor]: Taking taylor expansion of 1.0 in x 3.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.845 * [taylor]: Taking taylor expansion of x in x 3.860 * * * [progress]: simplifying candidates 3.862 * [simplify]: Simplifying using # : (expm1 (+ x (- 1.0 x))) (log1p (+ x (- 1.0 x))) (* (exp x) (/ (exp 1.0) (exp x))) (* (exp x) (exp (- 1.0 x))) (log (+ x (- 1.0 x))) (exp (+ x (- 1.0 x))) (* (cbrt (+ x (- 1.0 x))) (cbrt (+ x (- 1.0 x)))) (cbrt (+ x (- 1.0 x))) (* (* (+ x (- 1.0 x)) (+ x (- 1.0 x))) (+ x (- 1.0 x))) (sqrt (+ x (- 1.0 x))) (sqrt (+ x (- 1.0 x))) (+ (pow x 3) (pow (- 1.0 x) 3)) (+ (* x x) (- (* (- 1.0 x) (- 1.0 x)) (* x (- 1.0 x)))) (- (* x x) (* (- 1.0 x) (- 1.0 x))) (- x (- 1.0 x)) (+ x (- 1.0 x)) (+ x (- 1.0 x)) (+ x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt x) (* (cbrt x) (cbrt x)))))) (+ x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt x) (sqrt x))))) (+ x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* x 1)))) (+ x (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt x) (* (cbrt x) (cbrt x)))))) (+ x (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt x) (sqrt x))))) (+ x (fma (sqrt 1.0) (sqrt 1.0) (- (* x 1)))) (+ x (fma 1 1.0 (- (* (cbrt x) (* (cbrt x) (cbrt x)))))) (+ x (fma 1 1.0 (- (* (sqrt x) (sqrt x))))) (+ x (fma 1 1.0 (- (* x 1)))) (+ x 1.0) (+ x 1.0) (+ x 1.0) (expm1 (* (sqrt x) (sqrt (+ x 1.0)))) (log1p (* (sqrt x) (sqrt (+ x 1.0)))) (* x (+ x 1.0)) (* (sqrt x) (sqrt (+ x 1.0))) (* x (+ x 1.0)) (+ (log (sqrt x)) (log (sqrt (+ x 1.0)))) (log (* (sqrt x) (sqrt (+ x 1.0)))) (exp (* (sqrt x) (sqrt (+ x 1.0)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (* (cbrt (* (sqrt x) (sqrt (+ x 1.0)))) (cbrt (* (sqrt x) (sqrt (+ x 1.0))))) (cbrt (* (sqrt x) (sqrt (+ x 1.0)))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0)))) (* x (+ x 1.0)) (sqrt (* (sqrt x) (sqrt (+ x 1.0)))) (sqrt (* (sqrt x) (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 (sqrt (+ x 1.0)))) (* (sqrt x) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (sqrt x) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (sqrt x) (sqrt (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt (sqrt (+ x 1.0)))) (* (sqrt x) 1) (* (cbrt (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt (cbrt x)) (sqrt (+ x 1.0))) (* (sqrt (sqrt x)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt (sqrt x)) (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)))) (expm1 (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (+ (log 1.0) (- (log (+ x (- 1.0 x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (+ (log 1.0) (- (log (+ x (- 1.0 x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (- (+ (log 1.0) (log (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (+ (log 1.0) (log (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (- (log (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (log (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (log (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (exp (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (/ (* (* (+ x (- 1.0 x)) (+ x (- 1.0 x))) (+ x (- 1.0 x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (/ (* (* (+ x (- 1.0 x)) (+ x (- 1.0 x))) (+ x (- 1.0 x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (* (* (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0)))) (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (* (sqrt x) (sqrt (+ x 1.0)))) (/ 1.0 (sqrt x)) (/ (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ x 1.0))) (/ 1 (* (sqrt x) (sqrt (+ x 1.0)))) (/ (* (sqrt x) (sqrt (+ x 1.0))) (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt x)) (/ (* (sqrt x) (sqrt (+ x 1.0))) (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ (pow x 3) (pow 1.0 3))))) (/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0))))) (* (* (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (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))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0 1.0 1.0 (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ x (sqrt 1.0))) (- (* +nan.0 (/ x (pow (sqrt 1.0) 3)))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.862 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (- h1 h0))) (log1p (+ h0 (- h1 h0))) (* (exp h0) (/ (exp h1) (exp h0))) (* (exp h0) (exp (- h1 h0))) (log (+ h0 (- h1 h0))) (exp (+ h0 (- h1 h0))) (* (cbrt (+ h0 (- h1 h0))) (cbrt (+ h0 (- h1 h0)))) (cbrt (+ h0 (- h1 h0))) (* (* (+ h0 (- h1 h0)) (+ h0 (- h1 h0))) (+ h0 (- h1 h0))) (sqrt (+ h0 (- h1 h0))) (sqrt (+ h0 (- h1 h0))) (+ (pow h0 3) (pow (- h1 h0) 3)) (+ (* h0 h0) (- (* (- h1 h0) (- h1 h0)) (* h0 (- h1 h0)))) (- (* h0 h0) (* (- h1 h0) (- h1 h0))) (- h0 (- h1 h0)) (+ h0 (- h1 h0)) (+ h0 (- h1 h0)) (+ h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (+ h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h0) (sqrt h0))))) (+ h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h0 1)))) (+ h0 (fma (sqrt h1) (sqrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (+ h0 (fma (sqrt h1) (sqrt h1) (- (* (sqrt h0) (sqrt h0))))) (+ h0 (fma (sqrt h1) (sqrt h1) (- (* h0 1)))) (+ h0 (fma 1 h1 (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (+ h0 (fma 1 h1 (- (* (sqrt h0) (sqrt h0))))) (+ h0 (fma 1 h1 (- (* h0 1)))) (+ h0 h1) (+ h0 h1) (+ h0 h1) (expm1 (* (sqrt h0) (sqrt (+ h0 h1)))) (log1p (* (sqrt h0) (sqrt (+ h0 h1)))) (* h0 (+ h0 h1)) (* (sqrt h0) (sqrt (+ h0 h1))) (* h0 (+ h0 h1)) (+ (log (sqrt h0)) (log (sqrt (+ h0 h1)))) (log (* (sqrt h0) (sqrt (+ h0 h1)))) (exp (* (sqrt h0) (sqrt (+ h0 h1)))) (* (* (* (sqrt h0) (sqrt h0)) (sqrt h0)) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1)))) (* (cbrt (* (sqrt h0) (sqrt (+ h0 h1)))) (cbrt (* (sqrt h0) (sqrt (+ h0 h1))))) (cbrt (* (sqrt h0) (sqrt (+ h0 h1)))) (* (* (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1)))) (* (sqrt h0) (sqrt (+ h0 h1)))) (* h0 (+ h0 h1)) (sqrt (* (sqrt h0) (sqrt (+ h0 h1)))) (sqrt (* (sqrt h0) (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt h0)) (sqrt (sqrt (+ h0 h1)))) (* (sqrt h0) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (* (sqrt h0) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (* (sqrt h0) (sqrt 1)) (* (sqrt h0) (sqrt 1)) (* (sqrt h0) (sqrt (sqrt (+ h0 h1)))) (* (sqrt h0) 1) (* (cbrt (sqrt h0)) (sqrt (+ h0 h1))) (* (sqrt (cbrt h0)) (sqrt (+ h0 h1))) (* (sqrt (sqrt h0)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt (sqrt h0)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt 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(+ x (- 1.0 x)) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0 1.0 1.0 (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (- +nan.0) (/ (pow x 2) (pow (sqrt 1.0) 5)) (fma +nan.0 (/ 1 (sqrt 1.0)) (fma (- +nan.0) (/ x (/ 1.0 x)) (fma +nan.0 (* (/ x 1.0) (/ x 1.0)) (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (/ x 1.0) (fma (- +nan.0) (/ (pow x 2) (pow (sqrt 1.0) 3)) (* +nan.0 (- (/ x (sqrt 1.0)) (/ x (pow (sqrt 1.0) 3))))))))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 3.956 * * * [progress]: adding candidates to table 4.297 * * [progress]: iteration 4 / 4 4.297 * * * [progress]: picking best candidate 4.325 * * * * [pick]: Picked # 4.325 * * * [progress]: localizing error 4.335 * * * [progress]: generating rewritten candidates 4.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.407 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.449 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 4.487 * * * [progress]: generating series expansions 4.488 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.488 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in (x) around 0 4.488 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 4.488 * [taylor]: Taking taylor expansion of 1.0 in x 4.488 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 4.488 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.488 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.488 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.488 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.488 * [taylor]: Taking taylor expansion of x in x 4.488 * [taylor]: Taking taylor expansion of 1.0 in x 4.490 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.490 * [taylor]: Taking taylor expansion of x in x 4.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 4.492 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 4.492 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 4.493 * [taylor]: Taking taylor expansion of x in x 4.493 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.493 * [taylor]: Taking taylor expansion of x in x 4.493 * [taylor]: Taking taylor expansion of 1.0 in x 4.495 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0)))))) in x 4.495 * [taylor]: Taking taylor expansion of 1.0 in x 4.495 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (/ 1 (* x (+ x 1.0))))) in x 4.495 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.495 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.495 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.495 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.496 * [taylor]: Taking taylor expansion of x in x 4.496 * [taylor]: Taking taylor expansion of 1.0 in x 4.497 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.497 * [taylor]: Taking taylor expansion of x in x 4.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ x 1.0)))) in x 4.499 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ x 1.0))) in x 4.499 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 4.499 * [taylor]: Taking taylor expansion of x in x 4.499 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.499 * [taylor]: Taking taylor expansion of x in x 4.499 * [taylor]: Taking taylor expansion of 1.0 in x 4.827 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in (x) around 0 4.827 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 4.827 * [taylor]: Taking taylor expansion of 1.0 in x 4.827 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 4.827 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.827 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.827 * [taylor]: Taking taylor expansion of x in x 4.828 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.828 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.829 * [taylor]: Taking taylor expansion of 1.0 in x 4.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.831 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 4.831 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 4.831 * [taylor]: Taking taylor expansion of x in x 4.831 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.831 * [taylor]: Taking taylor expansion of 1.0 in x 4.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.831 * [taylor]: Taking taylor expansion of x in x 4.835 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x)))))) in x 4.835 * [taylor]: Taking taylor expansion of 1.0 in x 4.835 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ x (+ 1.0 (/ 1 x))))) in x 4.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.835 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.835 * [taylor]: Taking taylor expansion of x in x 4.836 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.837 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.837 * [taylor]: Taking taylor expansion of 1.0 in x 4.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.837 * [taylor]: Taking taylor expansion of x in x 4.839 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ 1.0 (/ 1 x)))) in x 4.839 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 4.839 * [taylor]: Taking taylor expansion of x in x 4.839 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.839 * [taylor]: Taking taylor expansion of 1.0 in x 4.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.839 * [taylor]: Taking taylor expansion of x in x 4.872 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in (x) around 0 4.872 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 4.872 * [taylor]: Taking taylor expansion of 1.0 in x 4.872 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 4.872 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 4.872 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.872 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.872 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.872 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.872 * [taylor]: Taking taylor expansion of -1 in x 4.872 * [taylor]: Taking taylor expansion of x in x 4.874 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.874 * [taylor]: Taking taylor expansion of 1.0 in x 4.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.874 * [taylor]: Taking taylor expansion of x in x 4.875 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.875 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.875 * [taylor]: Taking taylor expansion of -1 in x 4.875 * [taylor]: Taking taylor expansion of x in x 4.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 4.895 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 4.895 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.896 * [taylor]: Taking taylor expansion of 1.0 in x 4.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.896 * [taylor]: Taking taylor expansion of x in x 4.897 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x)))))) in x 4.897 * [taylor]: Taking taylor expansion of 1.0 in x 4.897 * [taylor]: Taking taylor expansion of (* (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) (sqrt (/ 1 (- 1.0 (/ 1 x))))) in x 4.897 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 4.897 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.898 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.898 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.898 * [taylor]: Taking taylor expansion of -1 in x 4.898 * [taylor]: Taking taylor expansion of x in x 4.899 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.899 * [taylor]: Taking taylor expansion of 1.0 in x 4.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.899 * [taylor]: Taking taylor expansion of x in x 4.900 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.900 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.901 * [taylor]: Taking taylor expansion of -1 in x 4.901 * [taylor]: Taking taylor expansion of x in x 4.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 4.912 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 4.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.912 * [taylor]: Taking taylor expansion of 1.0 in x 4.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.912 * [taylor]: Taking taylor expansion of x in x 4.993 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.994 * [approximate]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in (x) around 0 4.994 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 4.994 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 4.994 * [taylor]: Taking taylor expansion of x in x 4.994 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.994 * [taylor]: Taking taylor expansion of x in x 4.994 * [taylor]: Taking taylor expansion of 1.0 in x 4.996 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 4.996 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 4.996 * [taylor]: Taking taylor expansion of x in x 4.996 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.996 * [taylor]: Taking taylor expansion of x in x 4.996 * [taylor]: Taking taylor expansion of 1.0 in x 5.005 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 5.005 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 5.005 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 5.005 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.005 * [taylor]: Taking taylor expansion of 1.0 in x 5.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.005 * [taylor]: Taking taylor expansion of x in x 5.005 * [taylor]: Taking taylor expansion of x in x 5.009 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 5.009 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 5.009 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.009 * [taylor]: Taking taylor expansion of 1.0 in x 5.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.009 * [taylor]: Taking taylor expansion of x in x 5.009 * [taylor]: Taking taylor expansion of x in x 5.015 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 5.015 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 5.015 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.015 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.015 * [taylor]: Taking taylor expansion of 1.0 in x 5.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.015 * [taylor]: Taking taylor expansion of x in x 5.017 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.017 * [taylor]: Taking taylor expansion of -1 in x 5.017 * [taylor]: Taking taylor expansion of x in x 5.019 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 5.019 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.019 * [taylor]: Taking taylor expansion of 1.0 in x 5.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.019 * [taylor]: Taking taylor expansion of x in x 5.021 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.021 * [taylor]: Taking taylor expansion of -1 in x 5.021 * [taylor]: Taking taylor expansion of x in x 5.048 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 5.048 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 5.048 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 5.048 * [taylor]: Taking taylor expansion of 1.0 in x 5.048 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.048 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.048 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.048 * [taylor]: Taking taylor expansion of x in x 5.048 * [taylor]: Taking taylor expansion of 1.0 in x 5.050 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.050 * [taylor]: Taking taylor expansion of x in x 5.052 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 5.052 * [taylor]: Taking taylor expansion of 1.0 in x 5.052 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.052 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.052 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.052 * [taylor]: Taking taylor expansion of x in x 5.052 * [taylor]: Taking taylor expansion of 1.0 in x 5.054 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.054 * [taylor]: Taking taylor expansion of x in x 5.135 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 5.135 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.135 * [taylor]: Taking taylor expansion of 1.0 in x 5.135 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.135 * [taylor]: Taking taylor expansion of x in x 5.136 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.136 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.136 * [taylor]: Taking taylor expansion of 1.0 in x 5.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.136 * [taylor]: Taking taylor expansion of x in x 5.139 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.139 * [taylor]: Taking taylor expansion of 1.0 in x 5.139 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.139 * [taylor]: Taking taylor expansion of x in x 5.140 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.140 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.140 * [taylor]: Taking taylor expansion of 1.0 in x 5.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.140 * [taylor]: Taking taylor expansion of x in x 5.376 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 5.376 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.376 * [taylor]: Taking taylor expansion of 1.0 in x 5.376 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.376 * [taylor]: Taking taylor expansion of -1 in x 5.376 * [taylor]: Taking taylor expansion of x in x 5.377 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.377 * [taylor]: Taking taylor expansion of 1.0 in x 5.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.377 * [taylor]: Taking taylor expansion of x in x 5.380 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.380 * [taylor]: Taking taylor expansion of 1.0 in x 5.380 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.380 * [taylor]: Taking taylor expansion of -1 in x 5.380 * [taylor]: Taking taylor expansion of x in x 5.382 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.382 * [taylor]: Taking taylor expansion of 1.0 in x 5.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.382 * [taylor]: Taking taylor expansion of x in x 5.402 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 5.402 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 5.402 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.402 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.402 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.402 * [taylor]: Taking taylor expansion of x in x 5.402 * [taylor]: Taking taylor expansion of 1.0 in x 5.404 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.404 * [taylor]: Taking taylor expansion of x in x 5.405 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.405 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.405 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.405 * [taylor]: Taking taylor expansion of x in x 5.405 * [taylor]: Taking taylor expansion of 1.0 in x 5.406 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.406 * [taylor]: Taking taylor expansion of x in x 5.425 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 5.425 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.425 * [taylor]: Taking taylor expansion of x in x 5.426 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.426 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.426 * [taylor]: Taking taylor expansion of 1.0 in x 5.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.426 * [taylor]: Taking taylor expansion of x in x 5.428 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.428 * [taylor]: Taking taylor expansion of x in x 5.429 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.429 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.429 * [taylor]: Taking taylor expansion of 1.0 in x 5.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.429 * [taylor]: Taking taylor expansion of x in x 5.443 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 5.443 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.443 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.443 * [taylor]: Taking taylor expansion of -1 in x 5.443 * [taylor]: Taking taylor expansion of x in x 5.444 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.444 * [taylor]: Taking taylor expansion of 1.0 in x 5.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.444 * [taylor]: Taking taylor expansion of x in x 5.446 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.446 * [taylor]: Taking taylor expansion of -1 in x 5.446 * [taylor]: Taking taylor expansion of x in x 5.447 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.447 * [taylor]: Taking taylor expansion of 1.0 in x 5.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.467 * * * [progress]: simplifying candidates 5.469 * [simplify]: Simplifying using # : (expm1 (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (+ (log 1.0) (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (+ (log 1.0) (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (- (+ (log 1.0) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (+ (log 1.0) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (- (log (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (log (sqrt x)) (log (sqrt (+ x 1.0))))) (- (log (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (* (sqrt x) (sqrt (+ x 1.0))))) (log (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (exp (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))))) (/ (* (* (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (+ x 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h1)) (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ (sqrt (+ h1 h0)) (sqrt h1)) (- (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 5))) (- (+ (* h2 (/ 1 (sqrt h0))) (- (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 2))) (- (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 4))) (- (+ (* h2 (/ (pow h1 2) (sqrt h0))) (- (+ (* h2 (/ h1 (pow (sqrt h0) 2))) (- (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 3))) (- (+ (* h2 (/ h1 (sqrt h0))) (- (* h2 (/ h1 (pow (sqrt h0) 3)))))))))))))))))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- (* h2 (/ 1 (pow h1 3)))))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- (* h2 (/ 1 (pow h1 3)))))))) (- (+ (* h2 (pow h1 2)) (- (+ (* h2 (pow h1 3)) (- (* h2 h1)))))) (- (+ h3 h1) (* h4 (/ 1 h1))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h5 (/ (pow h1 2) (pow (sqrt h0) 5)))) (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 2))) (- (* h3 (/ h1 (pow (sqrt h0) 3))) (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 4))) (- (+ (* h2 (/ h1 (pow (sqrt h0) 2))) (- (* h2 (/ (pow h1 2) (pow (sqrt h0) 3)))))))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (sqrt h0) (* 1/2 (/ h1 (sqrt h0)))) (+ (* h2 (pow h1 2)) (- (* 1/8 (/ (pow h1 2) (pow (sqrt h0) 3))) (* h2 h1)))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) 5.478 * * [simplify]: iteration 0 : 704 enodes (cost 1320 ) 5.493 * * [simplify]: iteration 1 : 3647 enodes (cost 1120 ) 5.553 * * [simplify]: iteration 2 : 5001 enodes (cost 1050 ) 5.558 * [simplify]: Simplified to: (expm1 (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (log (* 1.0 1.0)) (log (fma (+ x 1.0) (sqrt x) (* (sqrt (+ x 1.0)) x)))) (- (log (* 1.0 1.0)) (log (fma (+ x 1.0) (sqrt x) (* (sqrt (+ x 1.0)) x)))) (- (log (* 1.0 1.0)) (log (fma (+ x 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(* (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) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (+ x (- 1.0 x)) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (fma (- +nan.0) (/ (pow x 2) (pow (sqrt 1.0) 5)) (fma +nan.0 (/ 1 (sqrt 1.0)) (fma (- +nan.0) (/ x (/ 1.0 x)) (fma +nan.0 (* (/ x 1.0) (/ x 1.0)) (fma (- +nan.0) (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (/ x 1.0) (fma (- +nan.0) (/ (pow x 2) (pow (sqrt 1.0) 3)) (* +nan.0 (- (/ x (sqrt 1.0)) (/ x (pow (sqrt 1.0) 3))))))))))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 5.559 * * * [progress]: adding candidates to table 5.872 * [progress]: [Phase 3 of 3] Extracting. 5.872 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 5.879 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.879 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 5.933 * * * [regime]: Found split indices: #