18.995 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.055 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.057 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.058 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.059 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.060 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.060 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.060 * * [progress]: iteration 1 / 4 0.060 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.079 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (cos x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (cos x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.097 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.109 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.109 * [taylor]: Taking taylor expansion of -1 in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.110 * [taylor]: Taking taylor expansion of -1 in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.119 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (cos x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (cos x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.129 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.133 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.136 * * * [progress]: simplifying candidates 0.137 * [simplify]: Simplifying using # : (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.139 * * [simplify]: iteration 0 : 129 enodes (cost 81 ) 0.142 * * [simplify]: iteration 1 : 421 enodes (cost 77 ) 0.148 * * [simplify]: iteration 2 : 1173 enodes (cost 77 ) 0.174 * * [simplify]: iteration 3 : 4692 enodes (cost 76 ) 0.297 * * [simplify]: iteration 4 : 5001 enodes (cost 76 ) 0.299 * [simplify]: Simplified to: (- (cos x) 1.0) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (* (pow x 2) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.299 * * * [progress]: adding candidates to table 0.337 * * [progress]: iteration 2 / 4 0.337 * * * [progress]: picking best candidate 0.348 * * * * [pick]: Picked # 0.348 * * * [progress]: localizing error 0.358 * * * [progress]: generating rewritten candidates 0.358 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.359 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.362 * * * [progress]: generating series expansions 0.362 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.362 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.363 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.363 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1/720 in x 0.363 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of 1/24 in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.363 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.363 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1/720 in x 0.363 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1/2 in x 0.363 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of 1/24 in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.370 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.370 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.370 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.370 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 1/720 in x 0.370 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.370 * [taylor]: Taking taylor expansion of 1/2 in x 0.370 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1/24 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.371 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.371 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.371 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1/720 in x 0.371 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of 1/2 in x 0.372 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1/24 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.389 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.390 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.390 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.390 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1/720 in x 0.390 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.390 * [taylor]: Taking taylor expansion of 1/24 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.391 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.391 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.391 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) 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 0.391 * [taylor]: Taking taylor expansion of 1/720 in x 0.391 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.391 * [taylor]: Taking taylor expansion of 1/2 in x 0.391 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.391 * [taylor]: Taking taylor expansion of 1/24 in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.406 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.406 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of 1/24 in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of 1/24 in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.414 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of 1/24 in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of 1/24 in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.422 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.422 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of 1/24 in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of 1/24 in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.430 * * * [progress]: simplifying candidates 0.430 * [simplify]: Simplifying using # : (* (pow x 4) 1/720) (* 1/24 x) (* 1/24 (pow x (/ 2 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.433 * * [simplify]: iteration 0 : 37 enodes (cost 28 ) 0.434 * * [simplify]: iteration 1 : 107 enodes (cost 25 ) 0.437 * * [simplify]: iteration 2 : 348 enodes (cost 25 ) 0.447 * * [simplify]: iteration 3 : 1690 enodes (cost 25 ) 0.502 * * [simplify]: iteration 4 : 5001 enodes (cost 25 ) 0.503 * [simplify]: Simplified to: (* (pow x 4) 1/720) (* x 1/24) (* x 1/24) (fma 1/720 (pow x 4) (- 1/2 (* 1/24 (pow x 2)))) (fma 1/720 (pow x 4) (- 1/2 (* 1/24 (pow x 2)))) (fma 1/720 (pow x 4) (- 1/2 (* 1/24 (pow x 2)))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.503 * * * [progress]: adding candidates to table 0.516 * * [progress]: iteration 3 / 4 0.516 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.528 * * * [progress]: localizing error 0.535 * * * [progress]: generating rewritten candidates 0.535 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.537 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.541 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.545 * * * [progress]: generating series expansions 0.545 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.545 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (cos x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (cos x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.563 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.563 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (cos x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (cos x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.578 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.578 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.589 * [taylor]: Taking taylor expansion of -1 in x 0.589 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.589 * [taylor]: Taking taylor expansion of -1 in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.605 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.605 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (cos x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (cos x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.625 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.625 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.638 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.638 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.638 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.638 * [taylor]: Taking taylor expansion of -1 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.638 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.638 * [taylor]: Taking taylor expansion of -1 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.649 * * * [progress]: simplifying candidates 0.649 * [simplify]: Simplifying using # : (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (- (cos x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ 1 x) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (/ (- 1.0 (cos x)) x)) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x x) (* x (- x)) (* x (/ x (- 1.0 (cos x)))) (* x (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (* x (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.652 * * [simplify]: iteration 0 : 169 enodes (cost 118 ) 0.656 * * [simplify]: iteration 1 : 491 enodes (cost 111 ) 0.665 * * [simplify]: iteration 2 : 1801 enodes (cost 109 ) 0.709 * * [simplify]: iteration 3 : 5001 enodes (cost 109 ) 0.710 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (* -1 (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (* -1 (cos x)) (- (cos x) 1.0) (- x) (/ 1.0 x) (/ (cos x) x) (/ 1 x) (/ x (- 1.0 (cos x))) (* x (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* x (+ 1.0 (cos x))) (/ (- (cos x) 1.0) x) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ 1 x) (* x (/ x (- 1.0 (cos x)))) (pow x 2) (pow x 2) (* x (- x)) (* x (/ x (- 1.0 (cos x)))) (* x (* x (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)))) (* x (* x (+ 1.0 (cos x)))) (fma (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 0.710 * * * [progress]: adding candidates to table 0.754 * * [progress]: iteration 4 / 4 0.754 * * * [progress]: picking best candidate 0.765 * * * * [pick]: Picked # 0.765 * * * [progress]: localizing error 0.779 * * * [progress]: generating rewritten candidates 0.780 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.784 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 0.786 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 0.788 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.795 * * * [progress]: generating series expansions 0.795 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.795 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.795 * [taylor]: Taking taylor expansion of (cos x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.796 * [taylor]: Taking taylor expansion of (cos x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.818 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.818 * [taylor]: Taking taylor expansion of 1.0 in x 0.818 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.818 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.819 * [taylor]: Taking taylor expansion of 1.0 in x 0.819 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.819 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.831 * [approximate]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in (x) around 0 0.831 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.831 * [taylor]: Taking taylor expansion of 1.0 in x 0.831 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.831 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.831 * [taylor]: Taking taylor expansion of -1 in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.832 * [taylor]: Taking taylor expansion of 1.0 in x 0.832 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.832 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.832 * [taylor]: Taking taylor expansion of -1 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.843 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 0.843 * [approximate]: Taking taylor expansion of (pow (cos x) 3) in (x) around 0 0.844 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.844 * [taylor]: Taking taylor expansion of (cos x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.844 * [taylor]: Taking taylor expansion of (cos x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.852 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in (x) around 0 0.852 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.852 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.852 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.861 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in (x) around 0 0.861 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.861 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.861 * [taylor]: Taking taylor expansion of -1 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.862 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.862 * [taylor]: Taking taylor expansion of -1 in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.871 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 0.871 * [approximate]: Taking taylor expansion of (+ (cos x) 1.0) in (x) around 0 0.871 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.871 * [taylor]: Taking taylor expansion of (cos x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.871 * [taylor]: Taking taylor expansion of (cos x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in (x) around 0 0.875 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.875 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.875 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in (x) around 0 0.877 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.877 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.878 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.878 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.878 * [taylor]: Taking taylor expansion of -1 in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.881 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1.0) 1.0)) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1.0) 1.0)) in x 0.881 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.881 * [taylor]: Taking taylor expansion of (cos x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (fma (cos x) (+ (cos x) 1.0) 1.0) in x 0.881 * [taylor]: Rewrote expression to (+ (* (cos x) (+ (cos x) 1.0)) 1.0) 0.881 * [taylor]: Taking taylor expansion of (* (cos x) (+ (cos x) 1.0)) in x 0.881 * [taylor]: Taking taylor expansion of (cos x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.881 * [taylor]: Taking taylor expansion of (cos x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos x) 3)) (fma (cos x) (+ (cos x) 1.0) 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos x) 3)) in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of (pow (cos x) 3) in x 0.886 * [taylor]: Taking taylor expansion of (cos x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (fma (cos x) (+ (cos x) 1.0) 1.0) in x 0.886 * [taylor]: Rewrote expression to (+ (* (cos x) (+ (cos x) 1.0)) 1.0) 0.886 * [taylor]: Taking taylor expansion of (* (cos x) (+ (cos x) 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of (cos x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (+ (cos x) 1.0) in x 0.887 * [taylor]: Taking taylor expansion of (cos x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0)) in (x) around 0 0.934 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0)) in x 0.934 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.934 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0) in x 0.935 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) 1.0) 0.935 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) in x 0.935 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.935 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ 1 x)) 3)) (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ 1 x)) 3)) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 x)) 3) in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0) 1.0) in x 0.937 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) 1.0) 0.937 * [taylor]: Taking taylor expansion of (* (cos (/ 1 x)) (+ (cos (/ 1 x)) 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 x)) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0)) in (x) around 0 0.964 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0)) in x 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.964 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0) in x 0.964 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.0) 0.964 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 0.964 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.965 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow (cos (/ -1 x)) 3)) (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0)) in x 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (pow (cos (/ -1 x)) 3)) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 x)) 3) in x 0.966 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0) 1.0) in x 0.967 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) 1.0) 0.967 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (+ (cos (/ -1 x)) 1.0)) in x 0.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 x)) 1.0) in x 0.967 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * * * [progress]: simplifying candidates 0.996 * [simplify]: Simplifying using # : (fma (* 1.0 1.0) 1.0 (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (* 1.0 1.0) 1.0 (- (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2))))) (fma (- (pow (cos x) (/ 3 2))) (pow (cos x) (/ 3 2)) (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)))) (fma (pow 1.0 (/ 3 2)) (pow 1.0 (/ 3 2)) (- (* (cos x) (* (cos x) (cos x))))) (fma (- (cos x)) (* (cos x) (cos x)) (* (cos x) (* (cos x) (cos x)))) (fma (pow 1.0 (/ 3 2)) (pow 1.0 (/ 3 2)) (- (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2))))) (fma (- (pow (cos x) (/ 3 2))) (pow (cos x) (/ 3 2)) (* (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)))) (- (pow (cos x) 3)) (- (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3)))) (- (pow (cos x) 3)) (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow (cos x) 3) (pow (cos x) 3))) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow (cos x) 3)) (* (log (cos x)) 3) (* (cos x) (cos x)) (pow (cos x) (/ 3 2)) (pow (cos x) (/ 3 2)) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (- (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (* 1.0 1.0) (* (cos x) (cos x))) (- 1.0 (cos x)) (- (- (pow 1.0 3) (pow (cos x) 3))) (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ (pow 1.0 3) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ (pow (cos x) 3) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ 1 (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- 1.0 (cos x))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2)))) (* (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow (cos x) 3) (pow (cos x) 3)) (* (pow 1.0 3) (pow (cos x) 3))))) (* (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (cos x) 3))) (- (+ (* 3/2 (pow x 2)) (* 61/240 (pow x 6))) (* 7/8 (pow x 4))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (- (+ (* 7/8 (pow x 4)) 1) (* 3/2 (pow x 2))) (pow (cos x) 3) (pow (cos x) 3) (- (+ (* 1/24 (pow x 4)) 2.0) (* 1/2 (pow x 2))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (- (+ (* 0.5 (pow x 2)) (* 0.00138888888888887 (pow x 6))) (* 0.041666666666666685 (pow x 4))) (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) 1.000 * * [simplify]: iteration 0 : 236 enodes (cost 295 ) 1.005 * * [simplify]: iteration 1 : 869 enodes (cost 265 ) 1.023 * * [simplify]: iteration 2 : 4051 enodes (cost 260 ) 1.126 * * [simplify]: iteration 3 : 5001 enodes (cost 260 ) 1.128 * [simplify]: Simplified to: (- (pow 1.0 3) (pow (cos x) 3)) (- (pow (cos x) 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow (cos x) 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow (cos x) 3) (pow (cos x) 3)) (- (pow 1.0 3) (pow (cos x) 3)) (- (pow (cos x) 3) (pow (cos x) 3)) (- (pow (cos x) 3)) (- (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- 1.0 (cos x)) (- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3)) (fma (pow (cos x) 3) (+ (pow 1.0 3) (pow (cos x) 3)) (pow 1.0 6)) (- (pow (cos x) 3)) (fma (- (pow (cos x) 3)) (pow (cos x) 3) (pow 1.0 6)) (+ (pow 1.0 3) (pow (cos x) 3)) (+ (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2))) (- (pow (cos x) 3)) (* (log (cos x)) 3) (pow (cos x) 2) (pow (cos x) 3/2) (pow (cos x) 3/2) (+ (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (- (cos x) 1.0) (* 1.0 1.0)) (fma 1.0 1.0 (- (pow (cos x) 2))) (- 1.0 (cos x)) (- (- (pow 1.0 3) (pow (cos x) 3))) (- (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ (pow 1.0 3) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ (pow (cos x) 3) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ 1 (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 3) (pow (cos x) 3))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- 1.0 (cos x))) (/ (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (pow 1.0 (/ 3 2)) (pow (cos x) (/ 3 2)))) (* (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (fma (pow (cos x) 3) (+ (pow 1.0 3) (pow (cos x) 3)) (pow 1.0 6))) (* (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (+ (pow 1.0 3) (pow (cos x) 3))) (fma (pow x 2) 3/2 (- (* 61/240 (pow x 6)) (* 7/8 (pow x 4)))) (- 1.0 (pow (cos x) 3)) (- 1.0 (pow (cos x) 3)) (fma (pow x 4) 7/8 (- 1 (* 3/2 (pow x 2)))) (pow (cos x) 3) (pow (cos x) 3) (fma (pow x 4) 1/24 (- 2.0 (* 1/2 (pow x 2)))) (+ 1.0 (cos x)) (+ 1.0 (cos x)) (fma (pow x 2) 0.5 (- (* 0.00138888888888887 (pow x 6)) (* 0.041666666666666685 (pow x 4)))) (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) (/ (- 1.0 (pow (cos x) 3)) (+ 1.0 (+ (pow (cos x) 2) (* 1.0 (cos x))))) 1.128 * * * [progress]: adding candidates to table 1.223 * [progress]: [Phase 3 of 3] Extracting. 1.223 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.224 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.224 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # #) 1.251 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.289 * * * [regime]: Found split indices: #