14.975 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.048 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.069 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.096 * * [simplify]: iteration 0 : 132 enodes (cost 62 ) 0.099 * * [simplify]: iteration 1 : 465 enodes (cost 61 ) 0.108 * * [simplify]: iteration 2 : 2301 enodes (cost 59 ) 0.166 * * [simplify]: iteration 3 : 5001 enodes (cost 57 ) 0.167 * [simplify]: Simplified to: (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- (/ 0.125 (pow x 3))) (/ -1 (sqrt -1)) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (fma (/ -1 (sqrt -1)) (/ 0.125 (pow x 3)) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.167 * * * [progress]: adding candidates to table 0.186 * * [progress]: iteration 2 / 4 0.186 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.233 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.237 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.246 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.257 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.269 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.269 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 4))) (/ 1 (hypot x (sqrt 1.0)))) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 4))) (/ 1 (hypot x (sqrt 1.0)))) in x 0.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (hypot x (sqrt 1.0))) in x 0.271 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 0.271 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 0.271 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 0.271 * [taylor]: Taking taylor expansion of (* x x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.271 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 4))) (/ 1 (hypot x (sqrt 1.0)))) in x 0.277 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (hypot x (sqrt 1.0))) in x 0.279 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 0.279 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 0.279 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 0.279 * [taylor]: Taking taylor expansion of (* x x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.279 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [approximate]: Taking taylor expansion of (* (/ 1 (hypot (/ 1 x) (sqrt 1.0))) (sqrt (- 1.0 (/ 1 (pow x 4))))) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot (/ 1 x) (sqrt 1.0))) (sqrt (- 1.0 (/ 1 (pow x 4))))) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (sqrt 1.0))) in x 0.358 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 0.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.358 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.358 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot (/ 1 x) (sqrt 1.0))) (sqrt (- 1.0 (/ 1 (pow x 4))))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (sqrt 1.0))) in x 0.366 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 0.366 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.366 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.366 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.450 * [approximate]: Taking taylor expansion of (* (/ 1 (hypot (/ -1 x) (sqrt 1.0))) (sqrt (- 1.0 (/ 1 (pow x 4))))) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot (/ -1 x) (sqrt 1.0))) (sqrt (- 1.0 (/ 1 (pow x 4))))) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (sqrt 1.0))) in x 0.450 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 0.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.450 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.450 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.450 * [taylor]: Taking taylor expansion of -1 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.451 * [taylor]: Taking taylor expansion of -1 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot (/ -1 x) (sqrt 1.0))) (sqrt (- 1.0 (/ 1 (pow x 4))))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (sqrt 1.0))) in x 0.459 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 0.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.459 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.459 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.459 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.459 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.459 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.459 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.546 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.547 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.570 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.608 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.648 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.648 * [approximate]: Taking taylor expansion of (hypot x (sqrt 1.0)) in (x) around 0 0.648 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 0.648 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 0.648 * [taylor]: Taking taylor expansion of (* x x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 0.654 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 0.654 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 0.654 * [taylor]: Taking taylor expansion of (* x x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.655 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in (x) around 0 0.678 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 0.678 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.678 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.678 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.679 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.684 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 0.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.712 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.712 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 0.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 0.717 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 0.717 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.717 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.717 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 0.718 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.718 * [taylor]: Taking taylor expansion of 1.0 in x 0.718 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.718 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * * * [progress]: simplifying candidates 0.744 * [simplify]: Simplifying using # : (+ 2 2) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* x x) (* 2 2) (* (* x x) x) (* (* x x) x) (* x (* x x)) (* x (* x x)) (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (- (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (- (hypot x (sqrt 1.0))) (/ 1 (hypot x (sqrt 1.0))) (/ (hypot x (sqrt 1.0)) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (* (hypot x (sqrt 1.0)) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* 1.0 1.0) (* (* x x) (* x x))))))) (* (hypot x (sqrt 1.0)) (sqrt (+ (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* (* x x) (* x x)) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* 1.0 1.0) (* (* x x) (* x x)))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* x x) (* x x)) (* (* x x) (* x x))))) (sqrt (+ (* 1.0 1.0) (* (* x x) (* x x)))) (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) (pow x 4) (pow x 4) (pow x 4) (- (+ 1 (* 3/8 (/ (pow x 4) (pow (sqrt 1.0) 4)))) (+ (* 1/2 (/ (pow x 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 4) (pow (sqrt 1.0) 2))))) (- (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 3/8 (/ (* (pow (sqrt 1.0) 4) (sqrt -1)) (pow x 3))) (* x (sqrt -1)))) (* 1/2 (/ (* (pow (sqrt 1.0) 2) (sqrt -1)) x))) (- (* 1/2 (/ (* (pow (sqrt 1.0) 2) (sqrt -1)) x)) (+ (* 0.5 (/ 1 (* (pow x 3) (sqrt -1)))) (+ (* 3/8 (/ (* (pow (sqrt 1.0) 4) (sqrt -1)) (pow x 3))) (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ x (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 0.749 * * [simplify]: iteration 0 : 305 enodes (cost 503 ) 0.755 * * [simplify]: iteration 1 : 1305 enodes (cost 463 ) 0.778 * * [simplify]: iteration 2 : 5001 enodes (cost 450 ) 0.781 * [simplify]: Simplified to: 4 (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) (pow x 2) 4 (pow x 3) (pow x 3) (pow x 3) (pow x 3) (/ (fma x x 1.0) (/ (fma x x 1.0) (- 1.0 (* x x)))) (- (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (- (hypot x (sqrt 1.0))) (/ 1 (hypot x (sqrt 1.0))) (/ (hypot x (sqrt 1.0)) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (/ (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x)))) (* (hypot x (sqrt 1.0)) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* 1.0 1.0) (* (* x x) (* x x))))))) (* (hypot 1.0 (* x x)) (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (hypot x (sqrt 1.0)) (sqrt (- 1.0 (* x x))) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* (* x x) (* x x)) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* 1.0 1.0) (* (* x x) (* x x)))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* (* x x) (* x x)) (* (* x x) (* x x))))) (hypot 1.0 (* x x)) (fma x x 1.0) (pow x 4) (pow x 4) (pow x 4) (- (+ 1 (* (/ (pow x 4) 1.0) (- (/ 3/8 1.0) 1/2))) (/ (* 1/2 (pow x 2)) 1.0)) (fma (- 1/2) (/ 1.0 (/ x (sqrt -1))) (fma 0.5 (/ 1 (* (pow x 3) (sqrt -1))) (fma (sqrt -1) x (/ (* 3/8 (* 1.0 1.0)) (/ (pow x 3) (sqrt -1)))))) (- (- (* (/ 1.0 (/ x (sqrt -1))) 1/2) (/ (* 3/8 (* 1.0 1.0)) (/ (pow x 3) (sqrt -1)))) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) (pow x 3)))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (fma (- 0.125) (/ 1 (* (pow x 6) (pow (sqrt -1) 3))) (fma (* x (sqrt -1)) x (/ (/ 0.5 (sqrt -1)) (pow x 2)))) (fma (- 0.125) (/ 1 (* (pow x 6) (pow (sqrt -1) 3))) (fma (* x (sqrt -1)) x (/ (/ 0.5 (sqrt -1)) (pow x 2)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma 1/2 (/ 1.0 x) x)) (- (fma 1/8 (/ 1.0 (/ (pow x 3) 1.0)) (- (/ (* 1/2 1.0) x))) x) 0.781 * * * [progress]: adding candidates to table 0.870 * * [progress]: iteration 3 / 4 0.870 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.888 * * * [progress]: generating rewritten candidates 0.888 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.899 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.908 * * * [progress]: generating series expansions 0.908 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.909 * [approximate]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.909 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.909 * [taylor]: Taking taylor expansion of 1/8 in x 0.909 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.909 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.913 * [taylor]: Taking taylor expansion of 1/2 in x 0.913 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.915 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.915 * [taylor]: Taking taylor expansion of 1/8 in x 0.915 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.919 * [taylor]: Taking taylor expansion of 1/2 in x 0.919 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 0.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.989 * [taylor]: Taking taylor expansion of 1/2 in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.989 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.991 * [taylor]: Taking taylor expansion of 1/8 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.991 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.991 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.991 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 0.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.997 * [taylor]: Taking taylor expansion of 1/2 in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.997 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.999 * [taylor]: Taking taylor expansion of 1/8 in x 0.999 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.999 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.999 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 1.094 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.094 * [taylor]: Taking taylor expansion of 1/2 in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.094 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.096 * [taylor]: Taking taylor expansion of 1/8 in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.096 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.096 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.102 * [taylor]: Taking taylor expansion of 1/2 in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.104 * [taylor]: Taking taylor expansion of 1/8 in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.104 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.104 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.195 * [approximate]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in (x) around 0 1.195 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 1.195 * [taylor]: Taking taylor expansion of 1/8 in x 1.195 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 1.195 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.195 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 1.199 * [taylor]: Taking taylor expansion of 1/8 in x 1.199 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 1.199 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.199 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [approximate]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in (x) around 0 1.237 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.237 * [taylor]: Taking taylor expansion of 1/8 in x 1.237 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.237 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.237 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.248 * [taylor]: Taking taylor expansion of 1/8 in x 1.248 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.248 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.248 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [approximate]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in (x) around 0 1.286 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.286 * [taylor]: Taking taylor expansion of 1/8 in x 1.286 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.286 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.286 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.291 * [taylor]: Taking taylor expansion of 1/8 in x 1.291 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.291 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.291 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * * * [progress]: simplifying candidates 1.334 * [simplify]: Simplifying using # : (+ (* 1/8 (/ (sqrt 1.0) (pow x 2))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) 1/2)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) (pow x 2))) (+ (* 1/8 (sqrt 1.0)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (pow x 2)))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (sqrt 1.0)) (+ (* 1/8 (- (sqrt 1.0))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (- (pow x 2))))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (- (sqrt 1.0))) (+ (* 1/8 (/ (sqrt 1.0) (pow x 2))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 1))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) (pow x 2))) (+ (* 1/8 (/ (sqrt 1.0) x)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 x))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) x)) (+ (* 1/8 (/ (sqrt 1.0) (pow x (/ 2 2)))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (pow x (/ 2 2))))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) (pow x (/ 2 2)))) (+ (* (* 1/8 (pow x 4)) (/ (sqrt 1.0) (pow x 2))) (* (pow (sqrt 1.0) 3) 1/2)) (* (pow (sqrt 1.0) 3) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (pow x 4)) (sqrt 1.0)) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* (pow (sqrt 1.0) 3) (sqrt 1.0)) (+ (* (* 1/8 (pow x 4)) (- (sqrt 1.0))) (* (pow (sqrt 1.0) 3) (* 1/2 (- (pow x 2))))) (* (pow (sqrt 1.0) 3) (- (sqrt 1.0))) (+ (* (* 1/8 (pow x 4)) (/ (sqrt 1.0) (pow x 2))) (* (pow (sqrt 1.0) 3) (* 1/2 1))) (* (pow (sqrt 1.0) 3) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (pow x 4)) (/ (sqrt 1.0) x)) (* (pow (sqrt 1.0) 3) (* 1/2 x))) (* (pow (sqrt 1.0) 3) (/ (sqrt 1.0) x)) (+ (* (* 1/8 (pow x 4)) (/ (sqrt 1.0) (pow x (/ 2 2)))) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x (/ 2 2))))) (* (pow (sqrt 1.0) 3) (/ (sqrt 1.0) (pow x (/ 2 2)))) (+ (* (* 1/8 (- (pow x 4))) (/ (sqrt 1.0) (pow x 2))) (* (- (pow (sqrt 1.0) 3)) 1/2)) (* (- (pow (sqrt 1.0) 3)) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (- (pow x 4))) (sqrt 1.0)) (* (- (pow (sqrt 1.0) 3)) (* 1/2 (pow x 2)))) (* (- (pow (sqrt 1.0) 3)) (sqrt 1.0)) (+ (* (* 1/8 (- (pow x 4))) (- (sqrt 1.0))) (* (- (pow (sqrt 1.0) 3)) (* 1/2 (- (pow x 2))))) (* (- (pow (sqrt 1.0) 3)) (- (sqrt 1.0))) (+ (* (* 1/8 (- (pow x 4))) (/ (sqrt 1.0) (pow x 2))) (* (- (pow (sqrt 1.0) 3)) (* 1/2 1))) (* (- (pow (sqrt 1.0) 3)) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (- (pow x 4))) (/ (sqrt 1.0) x)) (* (- (pow (sqrt 1.0) 3)) (* 1/2 x))) (* (- (pow (sqrt 1.0) 3)) (/ (sqrt 1.0) x)) (+ (* (* 1/8 (- (pow x 4))) (/ (sqrt 1.0) (pow x (/ 2 2)))) (* (- (pow (sqrt 1.0) 3)) (* 1/2 (pow x (/ 2 2))))) (* (- (pow (sqrt 1.0) 3)) (/ (sqrt 1.0) (pow x (/ 2 2)))) (+ (* (* 1/8 1) (/ (sqrt 1.0) (pow x 2))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) 1/2)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 1) (sqrt 1.0)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (pow x 2)))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (sqrt 1.0)) (+ (* (* 1/8 1) (- (sqrt 1.0))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (- (pow x 2))))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (- (sqrt 1.0))) (+ (* (* 1/8 1) (/ (sqrt 1.0) (pow x 2))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 1))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 1) (/ (sqrt 1.0) x)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 x))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) x)) (+ (* (* 1/8 1) (/ (sqrt 1.0) (pow x (/ 2 2)))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (pow x (/ 2 2))))) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (/ (sqrt 1.0) (pow x (/ 2 2)))) (+ (* (* 1/8 (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0)))) (/ (sqrt 1.0) (pow x 2))) (* (sqrt 1.0) 1/2)) (* (sqrt 1.0) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt 1.0)) (* (sqrt 1.0) (* 1/2 (pow x 2)))) (* (sqrt 1.0) (sqrt 1.0)) (+ (* (* 1/8 (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0)))) (- (sqrt 1.0))) (* (sqrt 1.0) (* 1/2 (- (pow x 2))))) (* (sqrt 1.0) (- (sqrt 1.0))) (+ (* (* 1/8 (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0)))) (/ (sqrt 1.0) (pow x 2))) (* (sqrt 1.0) (* 1/2 1))) (* (sqrt 1.0) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0)))) (/ (sqrt 1.0) x)) (* (sqrt 1.0) (* 1/2 x))) (* (sqrt 1.0) (/ (sqrt 1.0) x)) (+ (* (* 1/8 (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0)))) (/ (sqrt 1.0) (pow x (/ 2 2)))) (* (sqrt 1.0) (* 1/2 (pow x (/ 2 2))))) (* (sqrt 1.0) (/ (sqrt 1.0) (pow x (/ 2 2)))) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) (pow x 2))) (* (pow (sqrt 1.0) (/ 3 2)) 1/2)) (* (pow (sqrt 1.0) (/ 3 2)) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (sqrt 1.0)) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 (pow x 2)))) (* (pow (sqrt 1.0) (/ 3 2)) (sqrt 1.0)) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (- (sqrt 1.0))) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 (- (pow x 2))))) (* (pow (sqrt 1.0) (/ 3 2)) (- (sqrt 1.0))) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) (pow x 2))) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 1))) (* (pow (sqrt 1.0) (/ 3 2)) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) x)) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 x))) (* (pow (sqrt 1.0) (/ 3 2)) (/ (sqrt 1.0) x)) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) (pow x (/ 2 2)))) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 (pow x (/ 2 2))))) (* (pow (sqrt 1.0) (/ 3 2)) (/ (sqrt 1.0) (pow x (/ 2 2)))) (+ (* (* 1/8 (pow x (/ 4 2))) (/ (sqrt 1.0) (pow x 2))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) 1/2)) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (pow x (/ 4 2))) (sqrt 1.0)) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (* 1/2 (pow x 2)))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (sqrt 1.0)) (+ (* (* 1/8 (pow x (/ 4 2))) (- (sqrt 1.0))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (* 1/2 (- (pow x 2))))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (- (sqrt 1.0))) (+ (* (* 1/8 (pow x (/ 4 2))) (/ (sqrt 1.0) (pow x 2))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (* 1/2 1))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (/ (sqrt 1.0) (pow x 2))) (+ (* (* 1/8 (pow x (/ 4 2))) (/ (sqrt 1.0) x)) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (* 1/2 x))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (/ (sqrt 1.0) x)) (+ (* (* 1/8 (pow x (/ 4 2))) (/ (sqrt 1.0) (pow x (/ 2 2)))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (* 1/2 (pow x (/ 2 2))))) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (/ (sqrt 1.0) (pow x (/ 2 2)))) (+ (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3)) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (- (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x (/ 4 2)) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/8 (/ (pow x (/ 4 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/8 (pow x 4)) (* 1/8 (pow x 4)) (* 1/8 (- (pow x 4))) (* 1/8 1) (* 1/8 (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (* 1/8 (pow x (/ 4 2))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 1.342 * * [simplify]: iteration 0 : 652 enodes (cost 839 ) 1.356 * * [simplify]: iteration 1 : 2870 enodes (cost 744 ) 1.410 * * [simplify]: iteration 2 : 5001 enodes (cost 732 ) 1.414 * [simplify]: Simplified to: (fma 1/8 (/ (sqrt 1.0) (pow x 2)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) 1/2)) (/ (* 1.0 1.0) (* (pow x 2) (pow x 4))) (fma 1/8 (sqrt 1.0) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (pow x 2)))) (/ (* 1.0 1.0) (pow x 4)) (fma 1/8 (- (sqrt 1.0)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (- (pow x 2))))) (/ (- (pow (sqrt 1.0) 4)) (pow x 4)) (fma 1/8 (/ (sqrt 1.0) (pow x 2)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) 1/2)) (/ (* 1.0 1.0) (* (pow x 2) (pow x 4))) (fma 1/8 (/ (sqrt 1.0) x) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 x))) (/ (* 1.0 1.0) (* x (pow x 4))) (fma 1/8 (/ (sqrt 1.0) x) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 x))) (/ (* 1.0 1.0) (* x (pow x 4))) (fma (* 1/8 (pow x 4)) (/ (sqrt 1.0) (pow x 2)) (* (pow (sqrt 1.0) 3) 1/2)) (* 1.0 (/ 1.0 (pow x 2))) (fma (* 1/8 (pow x 4)) (sqrt 1.0) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* 1.0 1.0) (fma (* 1/8 (- (pow x 4))) (sqrt 1.0) (* (- (pow (sqrt 1.0) 3)) (* 1/2 (pow x 2)))) (* 1.0 (- 1.0)) (fma (* 1/8 (pow x 4)) (/ (sqrt 1.0) (pow x 2)) (* (pow (sqrt 1.0) 3) 1/2)) (* 1.0 (/ 1.0 (pow x 2))) (fma (* 1/8 (pow x 4)) (/ (sqrt 1.0) x) (* (pow (sqrt 1.0) 3) (* 1/2 x))) (/ (* 1.0 1.0) x) (fma (* 1/8 (pow x 4)) (/ (sqrt 1.0) x) (* (pow (sqrt 1.0) 3) (* 1/2 x))) (/ (* 1.0 1.0) x) (fma (* 1/8 (- (pow x 4))) (/ (sqrt 1.0) (pow x 2)) (* (- (pow (sqrt 1.0) 3)) 1/2)) (* (/ 1.0 x) (/ (- 1.0) x)) (fma (* 1/8 (- (pow x 4))) (sqrt 1.0) (* (- (pow (sqrt 1.0) 3)) (* 1/2 (pow x 2)))) (* 1.0 (- 1.0)) (fma (* 1/8 (- (pow x 4))) (- (sqrt 1.0)) (* (- (pow (sqrt 1.0) 3)) (* 1/2 (- (pow x 2))))) (* 1.0 1.0) (fma (* 1/8 (- (pow x 4))) (/ (sqrt 1.0) (pow x 2)) (* (- (pow (sqrt 1.0) 3)) 1/2)) (* (/ 1.0 x) (/ (- 1.0) x)) (- (/ (* (* 1/8 (pow x 4)) (- (sqrt 1.0))) x) (* (* (pow (sqrt 1.0) 3) x) 1/2)) (/ (- (pow (sqrt 1.0) 4)) x) (- (/ (* (* 1/8 (pow x 4)) (- (sqrt 1.0))) x) (* (* (pow (sqrt 1.0) 3) x) 1/2)) (/ (- (pow (sqrt 1.0) 4)) x) (fma 1/8 (/ (sqrt 1.0) (pow x 2)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) 1/2)) (/ (* 1.0 1.0) (* (pow x 2) (pow x 4))) (fma 1/8 (sqrt 1.0) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (pow x 2)))) (/ (* 1.0 1.0) (pow x 4)) (fma 1/8 (- (sqrt 1.0)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 (- (pow x 2))))) (/ (- (pow (sqrt 1.0) 4)) (pow x 4)) (fma 1/8 (/ (sqrt 1.0) (pow x 2)) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) 1/2)) (/ (* 1.0 1.0) (* (pow x 2) (pow x 4))) (fma 1/8 (/ (sqrt 1.0) x) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 x))) (/ (* 1.0 1.0) (* x (pow x 4))) (fma 1/8 (/ (sqrt 1.0) x) (* (/ (pow (sqrt 1.0) 3) (pow x 4)) (* 1/2 x))) (/ (* 1.0 1.0) (* x (pow x 4))) (fma (/ (sqrt 1.0) (pow x 2)) (/ (* 1/8 (pow x 4)) 1.0) (* 1/2 (sqrt 1.0))) (/ 1.0 (pow x 2)) (* (sqrt 1.0) (+ (/ (* 1/8 (pow x 4)) 1.0) (* 1/2 (pow x 2)))) 1.0 (fma (- (sqrt 1.0)) (/ (* 1/8 (pow x 4)) 1.0) (* (sqrt 1.0) (* 1/2 (- (pow x 2))))) (- 1.0) (fma (/ (sqrt 1.0) (pow x 2)) (/ (* 1/8 (pow x 4)) 1.0) (* 1/2 (sqrt 1.0))) (/ 1.0 (pow x 2)) (fma (/ (sqrt 1.0) x) (/ (* 1/8 (pow x 4)) 1.0) (* (sqrt 1.0) (* 1/2 x))) (/ 1.0 x) (fma (/ (sqrt 1.0) x) (/ (* 1/8 (pow x 4)) 1.0) (* (sqrt 1.0) (* 1/2 x))) (/ 1.0 x) (fma (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) (pow x 2)) (* (pow (sqrt 1.0) (/ 3 2)) 1/2)) (/ (pow (sqrt 1.0) (+ (/ 3 2) 1)) (pow x 2)) (fma (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (sqrt 1.0) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 (pow x 2)))) (pow (sqrt 1.0) (+ (/ 3 2) 1)) (fma (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (- (sqrt 1.0)) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 (- (pow x 2))))) (- (pow (sqrt 1.0) (+ (/ 3 2) 1))) (fma (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) (pow x 2)) (* (pow (sqrt 1.0) (/ 3 2)) 1/2)) (/ (pow (sqrt 1.0) (+ (/ 3 2) 1)) (pow x 2)) (fma (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) x) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 x))) (/ (pow (sqrt 1.0) (+ (/ 3 2) 1)) x) (fma (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (/ (sqrt 1.0) x) (* (pow (sqrt 1.0) (/ 3 2)) (* 1/2 x))) (/ (pow (sqrt 1.0) (+ (/ 3 2) 1)) x) (fma (* (/ (sqrt 1.0) (pow x 2)) 1/8) (pow x 2) (* 1/2 (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))))) (/ (* 1.0 1.0) (pow x 4)) (fma (* (sqrt 1.0) (pow x 2)) 1/8 (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (* 1/2 (pow x 2)))) (* 1.0 (/ 1.0 (pow x 2))) (fma (- 1/8) (* (sqrt 1.0) (pow x 2)) (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) (* 1/2 (- (pow x 2))))) (* (/ 1.0 x) (/ (- 1.0) x)) (fma (* (/ (sqrt 1.0) (pow x 2)) 1/8) (pow x 2) (* 1/2 (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))))) (/ (* 1.0 1.0) (pow x 4)) (fma (/ 1/8 (/ x (sqrt 1.0))) (pow x 2) (* (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) x) 1/2)) (/ (* 1.0 1.0) (* x (pow x (/ 4 2)))) (fma (/ 1/8 (/ x (sqrt 1.0))) (pow x 2) (* (* (/ (pow (sqrt 1.0) 3) (pow x (/ 4 2))) x) 1/2)) (/ (* 1.0 1.0) (* x (pow x (/ 4 2)))) (+ (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3)) (fma 1/64 (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3))) (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (- (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))))) (fma (- 1/4) (/ (pow x 4) (* (sqrt 1.0) (sqrt 1.0))) (* 1/64 (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3))))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (/ (* 1/8 (pow x (/ 4 2))) 1.0) (* 1/8 (/ (pow x (/ 4 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/8 (pow x 4)) (* 1/8 (pow x 4)) (* 1/8 (- (pow x 4))) 1/8 (/ (* 1/8 (pow x 4)) 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) (/ 3 2)))) (* 1/8 (pow x (/ 4 2))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 1.415 * * * [progress]: adding candidates to table 1.594 * [progress]: [Phase 3 of 3] Extracting. 1.594 * * [regime]: Finding splitpoints for: (# #) 1.594 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.594 * * * * [regimes]: Trying to branch on x from (# #) 1.606 * * * [regime]: Found split indices: #