12.043 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.073 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.074 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.075 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.076 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.078 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.078 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.080 * * * * [pick]: Picked # 0.080 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.096 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.101 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (cos x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (cos x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.118 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.131 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.146 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.146 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (cos x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.156 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.160 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.160 * [taylor]: Taking taylor expansion of -1 in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.160 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.160 * [taylor]: Taking taylor expansion of -1 in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.164 * * * [progress]: simplifying candidates 0.165 * [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)) 0.169 * * [simplify]: iteration 0 : 279 enodes (cost 446 ) 0.174 * * [simplify]: iteration 1 : 1006 enodes (cost 326 ) 0.194 * * [simplify]: iteration 2 : 5001 enodes (cost 317 ) 0.195 * [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)) 0.196 * * * [progress]: adding candidates to table 0.312 * * [progress]: iteration 2 / 4 0.312 * * * [progress]: picking best candidate 0.328 * * * * [pick]: Picked # 0.328 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.340 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.347 * * * [progress]: generating series expansions 0.347 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.347 * [approximate]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.347 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.347 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of 1/720 in x 0.347 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.347 * [taylor]: Taking taylor expansion of 1/2 in x 0.347 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of 1/24 in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (fma (pow x 4) 1/720 (- 1/2 (* 1/24 (pow x 2)))) in x 0.348 * [taylor]: Rewrote expression to (+ (* (pow x 4) 1/720) (- 1/2 (* 1/24 (pow x 2)))) 0.348 * [taylor]: Taking taylor expansion of (* (pow x 4) 1/720) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1/720 in x 0.348 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (pow x 2))) in x 0.348 * [taylor]: Taking taylor expansion of 1/2 in x 0.348 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of 1/24 in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.354 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.354 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.354 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.354 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1/720 in x 0.355 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.355 * [taylor]: Taking taylor expansion of 1/2 in x 0.355 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.355 * [taylor]: Taking taylor expansion of 1/24 in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.355 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.355 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 4) 1/720) in x 0.356 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1/720 in x 0.356 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.356 * [taylor]: Taking taylor expansion of 1/2 in x 0.356 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.356 * [taylor]: Taking taylor expansion of 1/24 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.371 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.371 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.371 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.371 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.371 * [taylor]: Taking taylor expansion of -1 in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1/720 in x 0.371 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.371 * [taylor]: Taking taylor expansion of 1/2 in x 0.371 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.371 * [taylor]: Taking taylor expansion of 1/24 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 4) 1/720 (- 1/2 (* 1/24 (/ 1 (pow x 2))))) in x 0.372 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 4) 1/720) (- 1/2 (* 1/24 (/ 1 (pow x 2))))) 0.372 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 4) 1/720) in x 0.372 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1/720 in x 0.372 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/24 (/ 1 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of 1/2 in x 0.372 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1/24 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.387 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.387 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of 1/24 in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of 1/24 in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.395 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of 1/24 in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of 1/24 in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.403 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of 1/24 in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of 1/24 in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.411 * * * [progress]: simplifying candidates 0.412 * [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)) 0.420 * * [simplify]: iteration 0 : 139 enodes (cost 194 ) 0.423 * * [simplify]: iteration 1 : 532 enodes (cost 171 ) 0.435 * * [simplify]: iteration 2 : 2601 enodes (cost 171 ) 0.515 * * [simplify]: iteration 3 : 5001 enodes (cost 170 ) 0.516 * [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)) 0.517 * * * [progress]: adding candidates to table 0.605 * * [progress]: iteration 3 / 4 0.605 * * * [progress]: picking best candidate 0.619 * * * * [pick]: Picked # 0.619 * * * [progress]: localizing error 0.632 * * * [progress]: generating rewritten candidates 0.632 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.635 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.639 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.642 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.666 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.666 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.666 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (cos x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (cos x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.676 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.680 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.680 * [taylor]: Taking taylor expansion of -1 in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.680 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.680 * [taylor]: Taking taylor expansion of -1 in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.683 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.684 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (cos x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.693 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 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 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.697 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.705 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.705 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.705 * [taylor]: Taking taylor expansion of 1.0 in x 0.705 * [taylor]: Taking taylor expansion of (cos x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.705 * [taylor]: Taking taylor expansion of 1.0 in x 0.705 * [taylor]: Taking taylor expansion of (cos x) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.715 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.715 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.715 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.718 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.718 * [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 0.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.719 * [taylor]: Taking taylor expansion of -1 in x 0.719 * [taylor]: Taking taylor expansion of 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 0.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.719 * [taylor]: Taking taylor expansion of -1 in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.722 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.722 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in (x) around 0 0.722 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.722 * [taylor]: Taking taylor expansion of 1/3 in x 0.722 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.722 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (cos x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos x)) 2) 1/3) in x 0.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos x)) 2)))) in x 0.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos x)) 2))) in x 0.726 * [taylor]: Taking taylor expansion of 1/3 in x 0.726 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos x)) 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 2) in x 0.726 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (cos x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.763 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in (x) around 0 0.763 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.763 * [taylor]: Taking taylor expansion of 1/3 in x 0.763 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.763 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ 1 x))) 2) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2)))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ 1 x))) 2))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ 1 x))) 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 2) in x 0.764 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.809 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in (x) around 0 0.809 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.809 * [taylor]: Taking taylor expansion of 1/3 in x 0.809 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.809 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.809 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.809 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.809 * [taylor]: Taking taylor expansion of -1 in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (cos (/ -1 x))) 2) 1/3) in x 0.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2)))) in x 0.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (cos (/ -1 x))) 2))) in x 0.810 * [taylor]: Taking taylor expansion of 1/3 in x 0.810 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (cos (/ -1 x))) 2)) in x 0.810 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 2) in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.810 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.810 * [taylor]: Taking taylor expansion of -1 in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.851 * * * [progress]: simplifying candidates 0.853 * [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)) (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 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iteration 2 : 4905 enodes (cost 923 ) 1.007 * * [simplify]: iteration 3 : 5001 enodes (cost 914 ) 1.016 * [simplify]: Simplified to: (fma (/ (- (cos x)) 2) 2 (pow (cbrt 1.0) 3)) (- (cos x) (cos x)) (fma (/ (- (cos x)) 2) 2 (pow (cbrt 1.0) 3)) (- (cos x) (cos x)) (fma (/ (- (cos x)) 2) 2 (pow (cbrt 1.0) 3)) (- (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))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 1/2) (pow (- 1.0 (cos x)) 1/2) (- (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))) 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(* (cos x) (cos x)) (* 1.0 (cos x))))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (- (* 1.0 1.0) (* (cos x) (cos x)))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (+ 1.0 (cos x))) (cbrt (+ 1.0 (cos x)))) (* (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (+ (sqrt 1.0) (sqrt (cos x)))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- (sqrt 1.0) (sqrt (cos x))))) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (cbrt (- 1.0 (cos x)))) (cbrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 1 (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (* (cbrt (sqrt (- 1.0 (cos x)))) (sqrt (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))) 2/3 2 (* (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (+ (sqrt 1.0) (sqrt (cos x))))) (cbrt (- 1.0 (cos x))) (* (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (cbrt (cbrt (- 1.0 (cos x))))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (cbrt (- 1.0 (cos x))) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- 1.0 (cos x))) (cbrt (sqrt (- 1.0 (cos x))))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt (- 1.0 (cos x)))) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (pow (cbrt (cbrt (- 1.0 (cos x)))) 4) (pow (sqrt (cbrt (- 1.0 (cos x)))) 3) (pow (sqrt (cbrt (- 1.0 (cos x)))) 4) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (cos x))))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (pow 1.0 3) (pow (cos x) 3)))) (* (cbrt (- 1.0 (cos x))) (cbrt (- (* 1.0 1.0) (* (cos x) (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 (pow x 2) 1/2 (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4)))) (- 1.0 (cos x)) (- 1.0 (cos x)) (* (* (pow 1/4 1/3) (pow x 4/3)) (- (fma 7/6480 (pow x 4) 1) (* 1/18 (pow x 2)))) (pow (pow (- 1.0 (cos x)) 2) 1/3) (pow (pow (- 1.0 (cos x)) 2) 1/3) 1.017 * * * [progress]: adding candidates to table 1.315 * * [progress]: iteration 4 / 4 1.315 * * * [progress]: picking best candidate 1.330 * * * * [pick]: Picked # 1.330 * * * [progress]: localizing error 1.340 * * * [progress]: generating rewritten candidates 1.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.351 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.354 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.357 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.364 * * * [progress]: generating series expansions 1.364 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.364 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 1.364 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.364 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.364 * [taylor]: Taking taylor expansion of (cos x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 1.367 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (cos x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.386 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.386 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.386 * [taylor]: Taking taylor expansion of 1.0 in x 1.386 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 1.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.386 * [taylor]: Taking taylor expansion of 1.0 in x 1.386 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.398 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.398 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.399 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.409 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (cos x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.410 * [taylor]: Taking taylor expansion of 1.0 in x 1.410 * [taylor]: Taking taylor expansion of (cos x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.419 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.419 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.423 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.424 * [taylor]: Taking taylor expansion of -1 in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.427 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.427 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos x))) in (x) around 0 1.427 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (cos x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos x))) in x 1.429 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (cos x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.451 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in (x) around 0 1.451 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ 1 x)))) in x 1.451 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.451 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.478 * [approximate]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in (x) around 0 1.478 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.478 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.478 * [taylor]: Taking taylor expansion of 1.0 in x 1.478 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.479 * [taylor]: Taking taylor expansion of -1 in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [taylor]: Taking taylor expansion of (log (- 1.0 (cos (/ -1 x)))) in x 1.479 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.479 * [taylor]: Taking taylor expansion of 1.0 in x 1.479 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.479 * [taylor]: Taking taylor expansion of -1 in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.500 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.500 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (cos x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.500 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.500 * [taylor]: Taking taylor expansion of 1.0 in x 1.500 * [taylor]: Taking taylor expansion of (cos x) in x 1.500 * [taylor]: Taking taylor expansion of x in x 1.510 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.510 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.511 * [taylor]: Taking taylor expansion of 1.0 in x 1.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.511 * [taylor]: Taking taylor expansion of 1.0 in x 1.511 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.514 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.514 * [taylor]: Taking taylor expansion of -1 in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.515 * [taylor]: Taking taylor expansion of 1.0 in x 1.515 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.515 * [taylor]: Taking taylor expansion of -1 in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.518 * * * [progress]: simplifying candidates 1.520 * [simplify]: Simplifying using # : (expm1 (/ (exp (log (- 1.0 (cos x)))) (* x x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (exp (log (- 1.0 (cos x)))) (* x x))) (exp (/ (exp (log (- 1.0 (cos x)))) (* x x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (* x x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (* (* (/ (exp (log (- 1.0 (cos x)))) (* x x)) (/ (exp (log (- 1.0 (cos x)))) (* x x))) (/ (exp (log (- 1.0 (cos x)))) (* x x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (- (exp (log (- 1.0 (cos x))))) (- (* x x)) (/ (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) x) (/ (exp (log (cbrt (- 1.0 (cos x))))) x) (/ (exp (log (sqrt (- 1.0 (cos x))))) x) (/ (exp (log (sqrt (- 1.0 (cos x))))) x) (/ (exp (log 1)) x) (/ (exp (log (- 1.0 (cos x)))) x) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) x) (/ (exp (log (- (sqrt 1.0) (sqrt (cos x))))) x) (/ (exp (log 1)) x) (/ (exp (log (- 1.0 (cos x)))) x) (/ (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) x) (/ (cbrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (exp (log (- 1.0 (cos x))))) x) (/ (sqrt (exp (log (- 1.0 (cos x))))) x) (/ 1 x) (/ (exp (log (- 1.0 (cos x)))) x) (/ 1 (* x x)) (/ (* x x) (exp (log (- 1.0 (cos x))))) (/ (exp (log (- 1.0 (cos x)))) x) (/ (* x x) (exp (log (cbrt (- 1.0 (cos x)))))) (/ (* x x) (exp (log (sqrt (- 1.0 (cos x)))))) (/ (* x x) (exp (log (- 1.0 (cos x))))) (/ (* x x) (exp (log (- (sqrt 1.0) (sqrt (cos x)))))) (/ (* x x) (exp (log (- 1.0 (cos x))))) (/ (* x x) (cbrt (exp (log (- 1.0 (cos x)))))) (/ (* x x) (sqrt (exp (log (- 1.0 (cos x)))))) (/ (* x x) (exp (log (- 1.0 (cos x))))) (* (* x x) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))))) (* (* x x) (exp (log (+ 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 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) (log 1) (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x)))) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (* (* (log (- 1.0 (cos x))) (log (- 1.0 (cos x)))) (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (exp (log (- 1.0 (cos x))))) (log1p (exp (log (- 1.0 (cos x))))) (exp 1) (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) (exp 1) (exp (log (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))))) (exp (log (cbrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log (sqrt (- 1.0 (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) (exp (log (- (sqrt 1.0) (sqrt (cos x))))) (exp (log 1)) (exp (log (- 1.0 (cos x)))) (exp (log (- (pow 1.0 3) (pow (cos x) 3)))) (exp (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (exp (log (- (* 1.0 1.0) (* (cos x) (cos x))))) (exp (log (+ 1.0 (cos x)))) (log (exp (log (- 1.0 (cos x))))) (exp (exp (log (- 1.0 (cos x))))) (* (cbrt (exp (log (- 1.0 (cos x))))) (cbrt (exp (log (- 1.0 (cos x)))))) (cbrt (exp (log (- 1.0 (cos x))))) (* (* (exp (log (- 1.0 (cos x)))) (exp (log (- 1.0 (cos x))))) (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 1.0 (cos x))))) (sqrt (exp (log (- 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 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 2 (log x)) (log 1/2)) (+ (* 1/12 (pow x 2)) (* 1/1440 (pow x 4)))) (log (- 1.0 (cos x))) (log (- 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)) 1.525 * * [simplify]: iteration 0 : 335 enodes (cost 787 ) 1.531 * * [simplify]: iteration 1 : 1119 enodes (cost 595 ) 1.550 * * [simplify]: iteration 2 : 5001 enodes (cost 586 ) 1.553 * [simplify]: Simplified to: (expm1 (/ (exp (log (- 1.0 (cos x)))) (* x x))) (log1p (/ (exp (log (- 1.0 (cos x)))) (* x x))) (- (log (- 1.0 (cos x))) (log (* x x))) (- (log (- 1.0 (cos x))) (log (* x x))) (- (log (- 1.0 (cos x))) (log (* x x))) (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) (* (cbrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (* x x)))) (cbrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (pow (/ (- 1.0 (cos x)) (pow x 2)) 3) (sqrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (sqrt (/ (exp (log (- 1.0 (cos x)))) (* x x))) (+ (- 1.0) (cos x)) (- (* x x)) (/ (pow (exp 2) (log (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) (/ (exp (log (+ (sqrt 1.0) (sqrt (cos x))))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (pow (exp 2) (log (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) (/ 1 (* x x)) (/ x (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos 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 (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) x)) (* (pow x 2) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0))) (* x (* x (+ 1.0 (cos x)))) (- (* (* (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))) (pow (exp 2) (log (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 (log (- 1.0 (cos x)))) (log1p (log (- 1.0 (cos x)))) (* 2 (log (cbrt (- 1.0 (cos x))))) (log (cbrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) (log (sqrt (- 1.0 (cos x)))) 0 (log (- 1.0 (cos x))) (log (+ (sqrt 1.0) (sqrt (cos x)))) (log (- (sqrt 1.0) (sqrt (cos x)))) 0 (log (- 1.0 (cos x))) (log (- (pow 1.0 3) (pow (cos x) 3))) (log (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (log (- (* 1.0 1.0) (* (cos x) (cos x)))) (log (+ 1.0 (cos x))) (log (- 1.0 (cos x))) (log (log (- 1.0 (cos x)))) (- 1.0 (cos x)) (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x))))) (cbrt (log (- 1.0 (cos x)))) (pow (log (- 1.0 (cos x))) 3) (sqrt (log (- 1.0 (cos x)))) (sqrt (log (- 1.0 (cos x)))) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) E (exp (* (cbrt (log (- 1.0 (cos x)))) (cbrt (log (- 1.0 (cos x)))))) (exp (sqrt (log (- 1.0 (cos x))))) E (pow (exp 2) (log (cbrt (- 1.0 (cos x))))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (- (pow 1.0 3) (pow (cos x) 3)) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (pow (exp 2) (log (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 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)) (fma 2 (log x) (- (log 1/2) (fma 1/12 (pow x 2) (* 1/1440 (pow x 4))))) (log (- 1.0 (cos x))) (log (- 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)) 1.554 * * * [progress]: adding candidates to table 1.777 * [progress]: [Phase 3 of 3] Extracting. 1.777 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.778 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.778 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.825 * * * [regime]: Found split indices: #