21.003 * [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)) 0.056 * * [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 ) 0.061 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.061 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.082 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.088 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.088 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (cos x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (cos x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [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 0.121 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 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 0.121 * [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 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.132 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.132 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (cos x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (cos x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.142 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.150 * * * [progress]: simplifying candidates 0.151 * [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)) 0.155 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.160 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.180 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.182 * [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)) 0.183 * * * [progress]: adding candidates to table 0.284 * * [progress]: iteration 2 / 4 0.284 * * * [progress]: picking best candidate 0.297 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.308 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.318 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.319 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.319 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 1/720 in x 0.319 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.319 * [taylor]: Taking taylor expansion of 1/2 in x 0.319 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of 1/24 in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.319 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.319 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 1/720 in x 0.320 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of 1/24 in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.326 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.326 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.326 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.326 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1/720 in x 0.327 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.327 * [taylor]: Taking taylor expansion of 1/24 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 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 0.328 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [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 0.343 * [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 0.343 * [taylor]: Taking taylor expansion of 1/720 in x 0.343 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.343 * [taylor]: Taking taylor expansion of 1/2 in x 0.343 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.343 * [taylor]: Taking taylor expansion of 1/24 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [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 0.344 * [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 0.359 * * * * [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 0.360 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of 1/24 in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of 1/24 in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.367 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 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 0.368 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of 1/24 in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.375 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.375 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of 1/24 in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of 1/24 in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.383 * * * [progress]: simplifying candidates 0.384 * [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)) 0.387 * * [simplify]: iteration 0 : 139 enodes (cost 194 ) 0.391 * * [simplify]: iteration 1 : 532 enodes (cost 171 ) 0.403 * * [simplify]: iteration 2 : 2601 enodes (cost 171 ) 0.486 * * [simplify]: iteration 3 : 5001 enodes (cost 170 ) 0.487 * [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)) 0.488 * * * [progress]: adding candidates to table 0.567 * * [progress]: iteration 3 / 4 0.567 * * * [progress]: picking best candidate 0.579 * * * * [pick]: Picked # 0.579 * * * [progress]: localizing error 0.585 * * * [progress]: generating rewritten candidates 0.585 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.590 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.596 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.611 * * * [progress]: generating series expansions 0.612 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.612 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of (cos x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of (cos x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.622 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.626 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 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 -1 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 -1 in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.629 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.630 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 0.630 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (cos x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (cos x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.649 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.649 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.660 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 0.660 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.675 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.675 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.675 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.675 * [taylor]: Taking taylor expansion of (cos x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.678 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.678 * [taylor]: Taking taylor expansion of 1.0 in x 0.678 * [taylor]: Taking taylor expansion of (cos x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.692 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.705 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.705 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.705 * [taylor]: Taking taylor expansion of 1.0 in x 0.705 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.705 * [taylor]: Taking taylor expansion of -1 in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.720 * * * [progress]: simplifying candidates 0.723 * [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 (/ (- 1.0 (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))) (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)) x)) (log 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)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos 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)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x)) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt 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(/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1) (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x) (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x)) (/ (/ (sqrt (- 1.0 (cos x))) 1) 1) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ 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(cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x 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)) 0.731 * * [simplify]: iteration 0 : 592 enodes (cost 1453 ) 0.740 * * [simplify]: iteration 1 : 2212 enodes (cost 1292 ) 0.772 * * [simplify]: iteration 2 : 5001 enodes (cost 1283 ) 0.779 * [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 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1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) 1 (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (pow x 2) (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)) (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)) 0.780 * * * [progress]: adding candidates to table 1.001 * * [progress]: iteration 4 / 4 1.001 * * * [progress]: picking best candidate 1.017 * * * * [pick]: Picked # 1.017 * * * [progress]: localizing error 1.030 * * * [progress]: generating rewritten candidates 1.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.036 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.041 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.046 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.060 * * * [progress]: generating series expansions 1.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.060 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.060 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (cos x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (cos x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.071 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.076 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.076 * [taylor]: Taking taylor expansion of -1 in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.076 * [taylor]: Taking taylor expansion of -1 in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.079 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.079 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (cos x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (cos x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.090 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.090 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.090 * [taylor]: Taking taylor expansion of 1.0 in x 1.090 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.094 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.094 * [taylor]: Taking taylor expansion of -1 in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.094 * [taylor]: Taking taylor expansion of -1 in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.097 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.097 * [approximate]: Taking taylor expansion of (exp (- 1.0 (cos x))) in (x) around 0 1.097 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (cos x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos x))) in x 1.100 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (cos x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.111 * [approximate]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.111 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.111 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ 1 x)))) in x 1.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.129 * [approximate]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.129 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.129 * [taylor]: Taking taylor expansion of -1 in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (exp (- 1.0 (cos (/ -1 x)))) in x 1.130 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.130 * [taylor]: Taking taylor expansion of -1 in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.142 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.142 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.142 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (cos x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (cos x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.158 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.158 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.169 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.169 * [taylor]: Taking taylor expansion of -1 in x 1.169 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.169 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.169 * [taylor]: Taking taylor expansion of -1 in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 1.170 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.185 * * * [progress]: simplifying candidates 1.187 * [simplify]: Simplifying using # : (expm1 (log (exp (- 1.0 (cos x))))) (log1p (log (exp (- 1.0 (cos x))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))))) (log (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (log (exp (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))))) (log (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))))) (log (exp (fma 1 1.0 (- (* (cos x) 1))))) (log (exp (fma (- (cos x)) 1 (* (cos x) 1)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (exp 1.0)) (log (exp (- (cos x)))) (log (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log 1) (log (exp (- 1.0 (cos x)))) (log (exp 1.0)) (log (exp (cos x))) (log (exp (- 1.0 (cos x)))) (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (log (exp (sqrt (- 1.0 (cos x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (log (exp 1)) (log (log (exp (- 1.0 (cos x))))) (exp (log (exp (- 1.0 (cos x))))) (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (cbrt (log (exp (- 1.0 (cos x))))) (* (* (log (exp (- 1.0 (cos x)))) (log (exp (- 1.0 (cos x))))) (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 1.0 (cos x))))) (sqrt (log (exp (- 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)) (expm1 (exp (- 1.0 (cos x)))) (log1p (exp (- 1.0 (cos x)))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (sqrt (- 1.0 (cos x)))) (exp 1) (exp (+ (sqrt 1.0) (sqrt (cos x)))) (exp 1) (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x)))))) (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))) (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1)))) (exp (fma (- (cos x)) 1 (* (cos x) 1))) (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x)))))) (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))) (exp (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1)))) (exp (fma (- (cos x)) 1 (* (cos x) 1))) (exp (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))))) (exp (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (exp (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x)))))) (exp (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x))))) (exp (fma 1 1.0 (- (* (cos x) 1)))) (exp (fma (- (cos x)) 1 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(log (exp 1)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) 1) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (log (exp 1)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (log (exp 1)) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (log (exp 1)) x) (/ (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (* (cbrt x) (cbrt x))) (/ (cbrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) (sqrt x)) (/ (cbrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (* (cbrt (log (exp (- 1.0 (cos x))))) (cbrt (log (exp (- 1.0 (cos x)))))) 1) (/ (cbrt (log (exp (- 1.0 (cos x))))) x) (/ (sqrt (log (exp (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (log (exp (- 1.0 (cos x))))) (cbrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (log (exp (- 1.0 (cos x))))) 1) (/ (sqrt (log (exp (- 1.0 (cos x))))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (log (exp (- 1.0 (cos x)))) (cbrt x)) (/ 1 (sqrt x)) (/ (log (exp (- 1.0 (cos x)))) (sqrt x)) (/ 1 1) (/ (log (exp (- 1.0 (cos x)))) x) (/ 1 x) (/ x (log (exp (- 1.0 (cos x))))) (/ (log (exp (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (log (exp (- 1.0 (cos x)))) (sqrt x)) (/ (log (exp (- 1.0 (cos x)))) 1) (/ x (log (exp (- 1.0 (cos x))))) (/ x (log (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))))) (/ x (log (exp (sqrt (- 1.0 (cos x)))))) (/ x (log (exp 1))) (/ x (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) (/ x (log (exp 1))) (/ x (cbrt (log (exp (- 1.0 (cos x)))))) (/ x (sqrt (log (exp (- 1.0 (cos x)))))) (/ x (log (exp (- 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))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (+ (* 1/2 (pow x 2)) (+ (* 1/12 (pow x 4)) 1)) (exp (- 1.0 (cos x))) (exp (- 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)) 1.194 * * [simplify]: iteration 0 : 393 enodes (cost 1192 ) 1.200 * * [simplify]: iteration 1 : 1234 enodes (cost 873 ) 1.224 * * [simplify]: iteration 2 : 5001 enodes (cost 725 ) 1.234 * [simplify]: Simplified to: (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 1.0 (- (cos x)) 1.0 (- (cos x)) (* 2 (log (cbrt (exp (- 1.0 (cos x)))))) (log (cbrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) (log (sqrt (exp (- 1.0 (cos x))))) 0 (- 1.0 (cos x)) 1.0 (cos x) (- 1.0 (cos x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) 1 (+ (sqrt 1.0) (sqrt (cos x))) 1 (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 (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- (+ (pow (cbrt 1.0) 3) 0) (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (- 1.0 (cos x)) 0 (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 1.0 1.0 (* (cos x) (+ (cos x) 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 (exp (- 1.0 (cos x)))) (log1p (exp (- 1.0 (cos x)))) (exp (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (exp (sqrt (- 1.0 (cos x)))) E (exp (+ (sqrt 1.0) (sqrt (cos x)))) E (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1)))) 1 (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1)))) 1 (exp (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1)))) 1 (exp (- 1.0 (cos x))) 1 (exp (- 1.0 (cos x))) 1 (exp (- 1.0 (cos x))) 1 (exp (- 1.0 (cos x))) 1 (exp (- 1.0 (cos x))) 1 (exp (- 1.0 (cos x))) 1 (exp 1.0) (exp (- (cos x))) (exp 1.0) (exp (- (cos x))) (exp 1.0) (exp (cos x)) (- 1.0 (cos x)) (exp (exp (- 1.0 (cos x)))) (* (cbrt (exp (- 1.0 (cos x)))) (cbrt (exp (- 1.0 (cos x))))) (cbrt (exp (- 1.0 (cos x)))) (pow (exp (- 1.0 (cos x))) 3) (sqrt (exp (- 1.0 (cos x)))) (sqrt (exp (- 1.0 (cos x)))) (expm1 (/ (log (exp (- 1.0 (cos x)))) x)) (log1p (/ (log (exp (- 1.0 (cos x)))) x)) (- (log (- 1.0 (cos x))) (log x)) (- (log (- 1.0 (cos x))) (log x)) (exp (/ (- 1.0 (cos x)) x)) (pow (/ (- 1.0 (cos x)) x) 3) (* (cbrt (/ (log (exp (- 1.0 (cos x)))) x)) (cbrt (/ (log (exp (- 1.0 (cos x)))) x))) (cbrt (/ (log (exp (- 1.0 (cos x)))) x)) (pow (/ (- 1.0 (cos x)) x) 3) (sqrt (/ (log (exp (- 1.0 (cos x)))) x)) (sqrt (/ (log (exp (- 1.0 (cos x)))) x)) (- (cos x) 1.0) (- x) (/ 1.0 x) (/ (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) (/ (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))) (/ (cbrt (- 1.0 (cos x))) (/ x (cbrt (- 1.0 (cos 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) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 (sqrt x)) (- 1.0 (cos x)) (/ 1 x) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) (sqrt x)) (- (sqrt 1.0) (sqrt (cos x))) (/ (log (exp (+ (sqrt 1.0) (sqrt (cos x))))) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ 1 (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ 1 (sqrt x)) (- 1.0 (cos x)) (/ 1 x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (/ (sqrt x) (cbrt (- 1.0 (cos x))))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (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) (/ 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 (- 1.0 (cos x))) (/ (/ x (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) x (/ x (log (exp (+ (sqrt 1.0) (sqrt (cos x)))))) x (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos 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 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 1/12 (pow x 4) 1)) (exp (- 1.0 (cos x))) (exp (- 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)) 1.235 * * * [progress]: adding candidates to table 1.435 * [progress]: [Phase 3 of 3] Extracting. 1.435 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.436 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.436 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 1.471 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# #) 1.487 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.533 * * * [regime]: Found split indices: #