11.064 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.057 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.058 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.059 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.060 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.061 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.062 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.084 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (cos x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (cos x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.108 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.108 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.120 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.120 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.120 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.131 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.140 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.148 * * * [progress]: simplifying candidates 0.148 * [simplify]: Simplifying using # : (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos 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))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (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)) 0.153 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.157 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.177 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.179 * [simplify]: Simplified to: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (pow x 2) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* (* x x) (+ 1.0 (cos x))) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (- 1.0 (cos x)) (- (cos x) (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (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)) (* x x)) (/ (- 1.0 (cos x)) (* x 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)) 0.179 * * * [progress]: adding candidates to table 0.288 * * [progress]: iteration 2 / 4 0.288 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.312 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.313 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.319 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.319 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.319 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.321 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.321 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 1/720 in x 0.321 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.321 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of 1/24 in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.321 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.321 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 1/720 in x 0.321 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.321 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of 1/24 in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.327 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.327 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.327 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.327 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 1/720 in x 0.328 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.328 * [taylor]: Taking taylor expansion of 1/2 in x 0.328 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.328 * [taylor]: Taking taylor expansion of 1/24 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.328 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.329 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.329 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of 1/720 in x 0.329 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.329 * [taylor]: Taking taylor expansion of 1/2 in x 0.329 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.329 * [taylor]: Taking taylor expansion of 1/24 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.343 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.343 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.343 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.343 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.343 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1/720 in x 0.344 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.344 * [taylor]: Taking taylor expansion of 1/2 in x 0.344 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.344 * [taylor]: Taking taylor expansion of 1/24 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.344 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.344 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.344 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.344 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.344 * [taylor]: Taking taylor expansion of -1 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1/720 in x 0.345 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.345 * [taylor]: Taking taylor expansion of 1/2 in x 0.345 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.345 * [taylor]: Taking taylor expansion of 1/24 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.359 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.359 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of 1/24 in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.359 * [taylor]: Taking taylor expansion of 1/24 in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.366 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of 1/24 in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.367 * [taylor]: Taking taylor expansion of 1/24 in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.374 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.374 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of 1/24 in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of 1/24 in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.386 * * * [progress]: simplifying candidates 0.387 * [simplify]: Simplifying using # : (expm1 (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (log1p (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 4) 1/720) (log (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (exp (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (* (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 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))) (- (+ (* 1/720 (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)) 0.390 * * [simplify]: iteration 0 : 139 enodes (cost 194 ) 0.393 * * [simplify]: iteration 1 : 532 enodes (cost 171 ) 0.405 * * [simplify]: iteration 2 : 2601 enodes (cost 171 ) 0.487 * * [simplify]: iteration 3 : 5001 enodes (cost 170 ) 0.489 * [simplify]: Simplified to: (expm1 (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (log1p (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (pow x 4) 1/720) (log (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (exp (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (* (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))))) (cbrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (pow (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) 3) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (sqrt (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2))))) (expm1 (* 1/24 (pow x 2))) (log1p (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (pow (* 1/24 (pow x 2)) 3) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (pow (* 1/24 (pow x 2)) 3) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (/ (pow (cbrt x) 4) 1) 1/24) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) 0.489 * * * [progress]: adding candidates to table 0.576 * * [progress]: iteration 3 / 4 0.576 * * * [progress]: picking best candidate 0.589 * * * * [pick]: Picked # 0.589 * * * [progress]: localizing error 0.596 * * * [progress]: generating rewritten candidates 0.596 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.599 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.620 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.633 * * * [progress]: generating series expansions 0.633 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.633 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.633 * [taylor]: Taking taylor expansion of (cos x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.633 * [taylor]: Taking taylor expansion of (cos x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.643 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.644 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.647 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.650 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.651 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.651 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (cos x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (cos x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.671 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.684 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.684 * [taylor]: Taking taylor expansion of -1 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.684 * [taylor]: Taking taylor expansion of -1 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.694 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.694 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (cos x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (cos x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.709 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.709 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.719 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.719 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.719 * [taylor]: Taking taylor expansion of -1 in x 0.719 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.719 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.719 * [taylor]: Taking taylor expansion of 1.0 in x 0.719 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.720 * [taylor]: Taking taylor expansion of -1 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.720 * [taylor]: Taking taylor expansion of -1 in x 0.720 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.720 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.720 * [taylor]: Taking taylor expansion of -1 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.734 * * * [progress]: simplifying candidates 0.740 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (+ (- (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- 0 (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- 0 (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (- (log 1) (log x)) (- (log (- 1.0 (cos x))) (log x))) (+ (- (log 1) (log x)) (log (/ (- 1.0 (cos x)) x))) (+ (log (/ 1 x)) (- (log (- 1.0 (cos x))) (log x))) (+ (log (/ 1 x)) (log (/ (- 1.0 (cos x)) x))) (log (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (exp (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x))) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (* (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (* 1 (- 1.0 (cos x))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1)) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (/ 1 x) (/ (sqrt (- 1.0 (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (* (/ 1 x) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (- 1.0 (cos x))) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (cbrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ (sqrt 1) x) (/ (- 1.0 (cos x)) x)) (* (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (/ (- 1.0 (cos x)) x)) (* (/ 1 x) (- 1.0 (cos x))) (* 1 (/ (- 1.0 (cos x)) x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (- (log (- 1.0 (cos x))) (log x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* x x) x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 1) (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* x (+ 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (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 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.747 * * [simplify]: iteration 0 : 582 enodes (cost 999 ) 0.757 * * [simplify]: iteration 1 : 2640 enodes (cost 823 ) 0.802 * * [simplify]: iteration 2 : 5001 enodes (cost 787 ) 0.805 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (log1p (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (* (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x)))) (cbrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (pow (/ (/ (- 1.0 (cos x)) x) x) 3) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (sqrt (* (/ 1 x) (/ (- 1.0 (cos x)) x))) (- 1.0 (cos x)) (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (/ 1 x) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x)))) (* (/ 1 x) (sqrt (/ (- 1.0 (cos x)) x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (* (cbrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (* (sqrt (/ 1 x)) (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (pow x 1/2)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt 1.0) (sqrt (cos x))) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* (fma 1.0 1.0 (fma (cos x) (cos x) (* 1.0 (cos x)))) 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 (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 x 1/2 (- (* 1/720 (pow x 5)) (* 1/24 (pow x 3)))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) 0.806 * * * [progress]: adding candidates to table 1.022 * * [progress]: iteration 4 / 4 1.022 * * * [progress]: picking best candidate 1.035 * * * * [pick]: Picked # 1.036 * * * [progress]: localizing error 1.046 * * * [progress]: generating rewritten candidates 1.046 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.050 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.063 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.067 * * * [progress]: generating series expansions 1.067 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.067 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.067 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (cos x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (cos x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.077 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.077 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.077 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.081 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.081 * [taylor]: Taking taylor expansion of -1 in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.081 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.081 * [taylor]: Taking taylor expansion of -1 in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.088 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.088 * [approximate]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in (x) around 0 1.088 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 1.088 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 1.088 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (cos x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of 1 in x 1.091 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 1.091 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 1.091 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.091 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (cos x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of 1 in x 1.117 * [approximate]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.117 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 1.118 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 1.118 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of 1 in x 1.118 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 1.118 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 1.118 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 1 in x 1.132 * [approximate]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.132 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 1.132 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 1.132 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.132 * [taylor]: Taking taylor expansion of -1 in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of 1 in x 1.133 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 1.133 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 1.133 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.133 * [taylor]: Taking taylor expansion of -1 in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of 1 in x 1.147 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.147 * [approximate]: Taking taylor expansion of (/ (log1p (expm1 (- 1.0 (cos x)))) (pow x 2)) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (/ (log1p (expm1 (- 1.0 (cos x)))) (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 1.147 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 1.147 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 1.147 * [taylor]: Taking taylor expansion of 1 in x 1.147 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 1.147 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 1.147 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.147 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (cos x) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of 1 in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (/ (log1p (expm1 (- 1.0 (cos x)))) (pow x 2)) in x 1.157 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 1.157 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 1.157 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 1.157 * [taylor]: Taking taylor expansion of 1 in x 1.157 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 1.157 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 1.157 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (cos x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of 1 in x 1.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.227 * [approximate]: Taking taylor expansion of (* (log1p (expm1 (- 1.0 (cos (/ 1 x))))) (pow x 2)) in (x) around 0 1.227 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (- 1.0 (cos (/ 1 x))))) (pow x 2)) in x 1.227 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.228 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 1.228 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.228 * [taylor]: Taking taylor expansion of 1 in x 1.228 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 1.228 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 1.228 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.228 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.228 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of 1 in x 1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (- 1.0 (cos (/ 1 x))))) (pow x 2)) in x 1.229 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.229 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 1.229 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.229 * [taylor]: Taking taylor expansion of 1 in x 1.229 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 1.229 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 1.229 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.229 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.229 * [taylor]: Taking taylor expansion of 1.0 in x 1.229 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of 1 in x 1.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.274 * [approximate]: Taking taylor expansion of (* (pow x 2) (log1p (expm1 (- 1.0 (cos (/ -1 x)))))) in (x) around 0 1.274 * [taylor]: Taking taylor expansion of (* (pow x 2) (log1p (expm1 (- 1.0 (cos (/ -1 x)))))) in x 1.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.275 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 1.275 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.275 * [taylor]: Taking taylor expansion of 1 in x 1.275 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 1.275 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 1.275 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.275 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.275 * [taylor]: Taking taylor expansion of -1 in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of 1 in x 1.276 * [taylor]: Taking taylor expansion of (* (pow x 2) (log1p (expm1 (- 1.0 (cos (/ -1 x)))))) in x 1.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.276 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 1.276 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.276 * [taylor]: Taking taylor expansion of 1 in x 1.276 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 1.276 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 1.276 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.276 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.276 * [taylor]: Taking taylor expansion of -1 in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of 1 in x 1.334 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.334 * [approximate]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 1.334 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 1.335 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 1.335 * [taylor]: Taking taylor expansion of 1 in x 1.335 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 1.335 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 1.335 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (cos x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of 1 in x 1.338 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos x)))) in x 1.338 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos x))))) 1.338 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos x)))) in x 1.338 * [taylor]: Taking taylor expansion of 1 in x 1.338 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos x))) in x 1.338 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos x))) 1) 1.338 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (cos x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of 1 in x 1.404 * [approximate]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in (x) around 0 1.404 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.404 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 1.404 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.404 * [taylor]: Taking taylor expansion of 1 in x 1.404 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 1.404 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 1.404 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.404 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.404 * [taylor]: Taking taylor expansion of 1.0 in x 1.404 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.405 * [taylor]: Taking taylor expansion of 1 in x 1.406 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.406 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ 1 x)))))) 1.406 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ 1 x))))) in x 1.406 * [taylor]: Taking taylor expansion of 1 in x 1.406 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ 1 x)))) in x 1.406 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ 1 x)))) 1) 1.406 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.406 * [taylor]: Taking taylor expansion of 1.0 in x 1.406 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.406 * [taylor]: Taking taylor expansion of 1 in x 1.439 * [approximate]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.439 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 1.439 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.439 * [taylor]: Taking taylor expansion of 1 in x 1.439 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 1.439 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 1.439 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.439 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.439 * [taylor]: Taking taylor expansion of -1 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of 1 in x 1.440 * [taylor]: Taking taylor expansion of (log1p (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.440 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- 1.0 (cos (/ -1 x)))))) 1.440 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- 1.0 (cos (/ -1 x))))) in x 1.440 * [taylor]: Taking taylor expansion of 1 in x 1.440 * [taylor]: Taking taylor expansion of (expm1 (- 1.0 (cos (/ -1 x)))) in x 1.440 * [taylor]: Rewrote expression to (- (exp (- 1.0 (cos (/ -1 x)))) 1) 1.441 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.441 * [taylor]: Taking taylor expansion of -1 in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of 1 in x 1.474 * * * [progress]: simplifying candidates 1.475 * [simplify]: Simplifying using # : (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (expm1 (expm1 (- 1.0 (cos x)))) (log1p (expm1 (- 1.0 (cos x)))) (log (expm1 (- 1.0 (cos x)))) (exp (expm1 (- 1.0 (cos x)))) (* (cbrt (expm1 (- 1.0 (cos x)))) (cbrt (expm1 (- 1.0 (cos x))))) (cbrt (expm1 (- 1.0 (cos x)))) (* (* (expm1 (- 1.0 (cos x))) (expm1 (- 1.0 (cos x)))) (expm1 (- 1.0 (cos x)))) (sqrt (expm1 (- 1.0 (cos x)))) (sqrt (expm1 (- 1.0 (cos x)))) (expm1 (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (log1p (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (+ (- (log x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (- (log x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (+ (- 0 (log x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (- 0 (log x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (+ (- (log 1) (log x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (- (log 1) (log x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (+ (log (/ 1 x)) (- (log (log1p (expm1 (- 1.0 (cos x))))) (log x))) (+ (log (/ 1 x)) (log (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (log (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (exp (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (log1p (expm1 (- 1.0 (cos x)))) (log1p (expm1 (- 1.0 (cos x))))) (log1p (expm1 (- 1.0 (cos x))))) (* (* x x) x))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (log1p (expm1 (- 1.0 (cos x)))) x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (log1p (expm1 (- 1.0 (cos x)))) (log1p (expm1 (- 1.0 (cos x))))) (log1p (expm1 (- 1.0 (cos x))))) (* (* x x) x))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (log1p (expm1 (- 1.0 (cos x)))) x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (cbrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (cbrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)))) (cbrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (* (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (sqrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (sqrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* 1 (log1p (expm1 (- 1.0 (cos x))))) (* x x) (* (sqrt (/ 1 x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (sqrt (/ 1 x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (sqrt (/ 1 x)) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt x))) (* (sqrt (/ 1 x)) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt x))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt x))) (* (/ 1 (sqrt x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ 1 (sqrt x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ 1 (sqrt x)) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt x))) (* (/ 1 (sqrt x)) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt x))) (* (/ 1 x) (* (cbrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (cbrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)))) (* (/ 1 x) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (/ 1 x) (/ (* (cbrt (log1p (expm1 (- 1.0 (cos x))))) (cbrt (log1p (expm1 (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (* (cbrt (log1p (expm1 (- 1.0 (cos x))))) (cbrt (log1p (expm1 (- 1.0 (cos x)))))) (sqrt x))) (* (/ 1 x) (/ (* (cbrt (log1p (expm1 (- 1.0 (cos x))))) (cbrt (log1p (expm1 (- 1.0 (cos x)))))) 1)) (* (/ 1 x) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt x))) (* (/ 1 x) (/ (sqrt (log1p (expm1 (- 1.0 (cos x))))) 1)) (* (/ 1 x) (/ 1 (* (cbrt x) (cbrt x)))) (* (/ 1 x) (/ 1 (sqrt x))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (log1p (expm1 (- 1.0 (cos x))))) (* (cbrt (/ 1 x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (sqrt (/ 1 x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ (cbrt 1) (cbrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ (cbrt 1) (sqrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ (cbrt 1) x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ (sqrt 1) (cbrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ (sqrt 1) (sqrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ (sqrt 1) x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 (cbrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 (sqrt x)) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (* (/ 1 x) (log1p (expm1 (- 1.0 (cos x))))) (* 1 (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (+ 1 (expm1 (- 1.0 (cos x)))) (expm1 (log1p (expm1 (- 1.0 (cos x))))) (log1p (log1p (expm1 (- 1.0 (cos x))))) (log (log1p (expm1 (- 1.0 (cos x))))) (exp (log1p (expm1 (- 1.0 (cos x))))) (* (cbrt (log1p (expm1 (- 1.0 (cos x))))) (cbrt (log1p (expm1 (- 1.0 (cos x)))))) (cbrt (log1p (expm1 (- 1.0 (cos x))))) (* (* (log1p (expm1 (- 1.0 (cos x)))) (log1p (expm1 (- 1.0 (cos x))))) (log1p (expm1 (- 1.0 (cos x))))) (sqrt (log1p (expm1 (- 1.0 (cos x))))) (sqrt (log1p (expm1 (- 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 (pow x 2)) (+ (* 1/720 (pow x 6)) (* 1/12 (pow x 4)))) (- (exp (- 1.0 (cos x))) 1) (- (exp (- 1.0 (cos x))) 1) (- (+ (* 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)) 1.487 * * [simplify]: iteration 0 : 500 enodes (cost 928 ) 1.496 * * [simplify]: iteration 1 : 2205 enodes (cost 692 ) 1.534 * * [simplify]: iteration 2 : 5001 enodes (cost 635 ) 1.537 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (- 1.0 (cos x)) (fma (- (cos x)) 1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 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)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (expm1 (expm1 (- 1.0 (cos x)))) (- 1.0 (cos x)) (log (expm1 (- 1.0 (cos x)))) (exp (expm1 (- 1.0 (cos x)))) (* (cbrt (expm1 (- 1.0 (cos x)))) (cbrt (expm1 (- 1.0 (cos x))))) (cbrt (expm1 (- 1.0 (cos x)))) (pow (expm1 (- 1.0 (cos x))) 3) (sqrt (expm1 (- 1.0 (cos x)))) (sqrt (expm1 (- 1.0 (cos x)))) (expm1 (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (log1p (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (/ (- 1.0 (cos x)) (pow x 2)) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (log (/ (- 1.0 (cos x)) (pow x 2))) (exp (/ (- 1.0 (cos x)) (pow x 2))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (* (cbrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (cbrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x)))) (cbrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (sqrt (* (/ 1 x) (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (- 1.0 (cos x)) (pow x 2) (* (sqrt (/ 1 x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (* (sqrt (/ 1 x)) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (/ (* (sqrt (/ 1 x)) (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (sqrt (/ 1 x)) (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (pow x 1/2)) (/ (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (pow x 1/2)) (/ (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (pow x 1/2)) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (* (/ 1 x) (* (cbrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)) (cbrt (/ (log1p (expm1 (- 1.0 (cos x)))) x)))) (* (/ 1 x) (sqrt (/ (log1p (expm1 (- 1.0 (cos x)))) x))) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) x) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) x) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (sqrt x)) (/ 1 x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (* (cbrt (/ 1 x)) (- 1.0 (cos x))) x) (/ (* (sqrt (/ 1 x)) (- 1.0 (cos x))) x) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x) (exp (- 1.0 (cos x))) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 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 1/2 (pow x 2) (fma 1/720 (pow x 6) (* 1/12 (pow x 4)))) (expm1 (- 1.0 (cos x))) (expm1 (- 1.0 (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)) 1.538 * * * [progress]: adding candidates to table 1.748 * [progress]: [Phase 3 of 3] Extracting. 1.748 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.749 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.749 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 1.795 * * * [regime]: Found split indices: #