7.415 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.098 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.103 * [simplify]: Simplifying using # : (- (sin (+ x eps)) (sin x)) 0.104 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.105 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.106 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.107 * [simplify]: Simplified to: (- (sin (+ x eps)) (sin x)) 0.107 * * [progress]: iteration 1 / 4 0.107 * * * [progress]: picking best candidate 0.110 * * * * [pick]: Picked # 0.110 * * * [progress]: localizing error 0.119 * * * [progress]: generating rewritten candidates 0.119 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.122 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.129 * [approximate]: Approximating (sin (+ x eps)) in (x eps) around 0 0.129 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.132 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.135 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.141 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.142 * [approximate]: Approximating (sin (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 0.144 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.145 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.145 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.145 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.145 * [approximate]: Approximating (sin (neg (+ (/ 1 eps) (/ 1 x)))) in (x eps) around 0 0.149 * [taylor]: Taking taylor expansion of (sin (neg (+ (/ 1 eps) (/ 1 x)))) in eps 0.150 * [taylor]: Taking taylor expansion of (sin (neg (+ (/ 1 eps) (/ 1 x)))) in eps 0.150 * [taylor]: Taking taylor expansion of (sin (neg (+ (/ 1 eps) (/ 1 x)))) in eps 0.150 * [taylor]: Taking taylor expansion of (sin (neg (+ (/ 1 eps) (/ 1 x)))) in eps 0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.151 * [approximate]: Approximating (- (sin (+ x eps)) (sin x)) in (x eps) around 0 0.151 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps 0.159 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps 0.164 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps 0.172 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps 0.177 * [approximate]: Approximating (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in (x eps) around 0 0.181 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.183 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.186 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.190 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.190 * [approximate]: Approximating (- (sin (neg (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in (x eps) around 0 0.195 * [taylor]: Taking taylor expansion of (- (sin (neg (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.197 * [taylor]: Taking taylor expansion of (- (sin (neg (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.201 * [taylor]: Taking taylor expansion of (- (sin (neg (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.205 * [taylor]: Taking taylor expansion of (- (sin (neg (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.205 * * * [progress]: simplifying candidates 0.205 * [simplify]: Simplifying using # : (* (sin x) (cos eps)) (* (cos x) (sin eps)) (log (sin (+ x eps))) (exp (sin (+ x eps))) (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (/ (exp (sin (+ x eps))) (exp (sin x))) (log (- (sin (+ x eps)) (sin x))) (exp (- (sin (+ x eps)) (sin x))) (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) (cbrt (- (sin (+ x eps)) (sin x))) (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (- (pow (sin (+ x eps)) 3) (pow (sin x) 3)) (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (sin x)))) (neg (sin x)) (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) (+ (sin (+ x eps)) (sin x)) (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sin (+ x eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (neg (sin x)) (- (+ eps x) (* 1/6 (pow x 3))) (sin (+ x eps)) (sin (+ x eps)) (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps)))) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) 0.208 * * [simplify]: iteration 0 : 133 enodes (cost 175 ) 0.211 * * [simplify]: iteration 1 : 301 enodes (cost 165 ) 0.217 * * [simplify]: iteration 2 : 937 enodes (cost 164 ) 0.236 * * [simplify]: iteration 3 : 3445 enodes (cost 164 ) 0.344 * * [simplify]: iteration 4 : 5001 enodes (cost 164 ) 0.345 * [simplify]: Simplified to: (* (sin x) (cos eps)) (* (cos x) (sin eps)) (log (sin (+ x eps))) (exp (sin (+ x eps))) (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (pow (sin (+ x eps)) 3) (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (exp (- (sin (+ x eps)) (sin x))) (log (- (sin (+ x eps)) (sin x))) (exp (- (sin (+ x eps)) (sin x))) (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) (cbrt (- (sin (+ x eps)) (sin x))) (pow (- (sin (+ x eps)) (sin x)) 3) (sqrt (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (- (pow (sin (+ x eps)) 3) (pow (sin x) 3)) (+ (* (sin (+ x eps)) (+ (sin (+ x eps)) (sin x))) (* (sin x) (sin x))) (neg (sin x)) (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) (+ (sin (+ x eps)) (sin x)) (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sin (+ x eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (neg (sin x)) (- (+ eps x) (* 1/6 (pow x 3))) (sin (+ x eps)) (sin (+ x eps)) (+ (* -1/2 (+ (* x (pow eps 2)) (* (pow x 2) eps))) eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) 0.346 * * * [progress]: adding candidates to table 0.414 * * [progress]: iteration 2 / 4 0.414 * * * [progress]: picking best candidate 0.449 * * * * [pick]: Picked # 0.449 * * * [progress]: localizing error 0.463 * * * [progress]: generating rewritten candidates 0.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.471 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.475 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.480 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.486 * * * [progress]: generating series expansions 0.487 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.487 * [approximate]: Approximating (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in (x eps) around 0 0.488 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 0.496 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 0.506 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 0.520 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 0.524 * [approximate]: Approximating (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in (x eps) around 0 0.529 * [taylor]: Taking taylor expansion of (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in eps 0.542 * [taylor]: Taking taylor expansion of (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in eps 0.557 * [taylor]: Taking taylor expansion of (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in eps 0.577 * [taylor]: Taking taylor expansion of (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in eps 0.578 * [approximate]: Approximating (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in (x eps) around 0 0.583 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in eps 0.591 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in eps 0.606 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in eps 0.631 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in eps 0.631 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.631 * [approximate]: Approximating (* (sin x) (cos eps)) in (x eps) around 0 0.632 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in eps 0.635 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in eps 0.640 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in eps 0.645 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in eps 0.647 * [approximate]: Approximating (* (cos (/ 1 eps)) (sin (/ 1 x))) in (x eps) around 0 0.649 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.652 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.658 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.666 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.666 * [approximate]: Approximating (* (sin (/ -1 x)) (cos (/ -1 eps))) in (x eps) around 0 0.668 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.671 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.677 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.685 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.685 * [approximate]: Approximating (* (sin eps) (cos x)) in (x eps) around 0 0.686 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 0.689 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 0.693 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 0.699 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 0.702 * [approximate]: Approximating (* (sin (/ 1 eps)) (cos (/ 1 x))) in (x eps) around 0 0.709 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.712 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.718 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.726 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.726 * [approximate]: Approximating (* (sin (/ -1 eps)) (cos (/ -1 x))) in (x eps) around 0 0.728 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.731 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.737 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.744 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.745 * [approximate]: Approximating (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in (x eps) around 0 0.745 * [taylor]: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in eps 0.752 * [taylor]: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in eps 0.760 * [taylor]: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in eps 0.772 * [taylor]: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in eps 0.774 * [approximate]: Approximating (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in (x eps) around 0 0.777 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in eps 0.784 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in eps 0.802 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in eps 0.818 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in eps 0.818 * [approximate]: Approximating (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in (x eps) around 0 0.822 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in eps 0.829 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in eps 0.841 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in eps 0.857 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in eps 0.857 * * * [progress]: simplifying candidates 0.858 * [simplify]: Simplifying using # : (/ (* (exp (* (sin x) (cos eps))) (exp (* (cos x) (sin eps)))) (exp (sin x))) (/ (exp (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (exp (sin x))) (log (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (exp (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (* (cbrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (cbrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))) (cbrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (* (* (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (sqrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (sqrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (- (pow (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) 3) (pow (sin x) 3)) (+ (* (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (+ (* (sin x) (sin x)) (* (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))) (neg (sin x)) (- (* (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (* (sin x) (sin x))) (+ (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (+ (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (sqrt (sin x))) (- (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (sqrt (sin x))) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (neg (sin x)) (+ (sin (- x eps)) (sin (+ x eps))) (* (sin x) (cos eps)) (+ (log (sin x)) (log (cos eps))) (log (* (sin x) (cos eps))) (exp (* (sin x) (cos eps))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (cos eps) (cos eps)) (cos eps))) (* (cbrt (* (sin x) (cos eps))) (cbrt (* (sin x) (cos eps)))) (cbrt (* (sin x) (cos eps))) (* (* (* (sin x) (cos eps)) (* (sin x) (cos eps))) (* (sin x) (cos eps))) (sqrt (* (sin x) (cos eps))) (sqrt (* (sin x) (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sin x) (* (cbrt (cos eps)) (cbrt (cos eps)))) (* (sin x) (sqrt (cos eps))) (* (sin x) 1) (* (cbrt (sin x)) (cos eps)) (* (sqrt (sin x)) (cos eps)) (* (sin x) (cos eps)) (* (cos x) (sin eps)) (+ (log (cos x)) (log (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (sin eps) (sin eps)) (sin eps))) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (* (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (* (cos x) 1) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (* (exp (* (sin x) (cos eps))) (exp (* (cos x) (sin eps)))) (log (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (exp (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (* (cbrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (cbrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))))) (cbrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (* (* (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (+ (pow (* (sin x) (cos eps)) 3) (pow (* (cos x) (sin eps)) 3)) (+ (* (* (sin x) (cos eps)) (* (sin x) (cos eps))) (- (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (* (sin x) (cos eps)) (* (cos x) (sin eps))))) (- (* (* (sin x) (cos eps)) (* (sin x) (cos eps))) (* (* (cos x) (sin eps)) (* (cos x) (sin eps)))) (- (* (sin x) (cos eps)) (* (cos x) (sin eps))) (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps)))) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) (- x (+ (* 1/2 (* x (pow eps 2))) (* 1/6 (pow x 3)))) (* (sin x) (cos eps)) (* (sin x) (cos eps)) (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) (* (sin eps) (cos x)) (* (sin eps) (cos x)) (- (+ eps x) (* 1/6 (pow x 3))) (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) 0.863 * * [simplify]: iteration 0 : 308 enodes (cost 589 ) 0.869 * * [simplify]: iteration 1 : 1168 enodes (cost 554 ) 0.895 * * [simplify]: iteration 2 : 5001 enodes (cost 543 ) 0.898 * [simplify]: Simplified to: (exp (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (exp (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (log (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (exp (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (* (cbrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (cbrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))) (cbrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (pow (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) 3) (sqrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (sqrt (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (- (pow (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) 3) (pow (sin x) 3)) (+ (* (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (+ (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (* (sin x) (sin x))) (neg (sin x)) (* (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (+ (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) (+ (* (sin x) (+ (cos eps) 1)) (* (cos x) (sin eps))) (+ (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (sqrt (sin x))) (- (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (sqrt (sin x))) (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (- (* (cos x) (sin eps)) (sin x)) (neg (sin x)) (+ (sin (- x eps)) (sin (+ x eps))) (* (sin x) (cos eps)) (log (* (sin x) (cos eps))) (log (* (sin x) (cos eps))) (exp (* (sin x) (cos eps))) (pow (* (sin x) (cos eps)) 3) (* (cbrt (* (sin x) (cos eps))) (cbrt (* (sin x) (cos eps)))) (cbrt (* (sin x) (cos eps))) (pow (* (sin x) (cos eps)) 3) (sqrt (* (sin x) (cos eps))) (sqrt (* (sin x) (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sin x) (* (cbrt (cos eps)) (cbrt (cos eps)))) (* (sin x) (sqrt (cos eps))) (sin x) (* (cbrt (sin x)) (cos eps)) (* (sqrt (sin x)) (cos eps)) (* (sin x) (cos eps)) (* (cos x) (sin eps)) (log (* (cos x) (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (cos x) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (exp (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (log (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (exp (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (* (cbrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (cbrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))))) (cbrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (pow (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) 3) (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (sqrt (+ (* (sin x) (cos eps)) (* (cos x) (sin eps)))) (+ (pow (* (sin x) (cos eps)) 3) (pow (* (cos x) (sin eps)) 3)) (+ (* (* (cos x) (sin eps)) (- (* (cos x) (sin eps)) (* (sin x) (cos eps)))) (* (* (sin x) (cos eps)) (* (sin x) (cos eps)))) (- (* (* (sin x) (cos eps)) (* (sin x) (cos eps))) (* (* (cos x) (sin eps)) (* (cos x) (sin eps)))) (- (* (sin x) (cos eps)) (* (cos x) (sin eps))) (+ (* -1/2 (+ (* x (pow eps 2)) (* (pow x 2) eps))) eps) (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (- x (+ (* 1/2 (* x (pow eps 2))) (* 1/6 (pow x 3)))) (* (sin x) (cos eps)) (* (sin x) (cos eps)) (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) (* (cos x) (sin eps)) (* (cos x) (sin eps)) (- (+ eps x) (* 1/6 (pow x 3))) (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) 0.899 * * * [progress]: adding candidates to table 1.173 * * [progress]: iteration 3 / 4 1.173 * * * [progress]: picking best candidate 1.216 * * * * [pick]: Picked # 1.216 * * * [progress]: localizing error 1.230 * * * [progress]: generating rewritten candidates 1.230 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.249 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.259 * * * [progress]: generating series expansions 1.259 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.259 * [approximate]: Approximating (- (cos eps) 1) in (eps) around 0 1.272 * [approximate]: Approximating (- (cos (/ 1 eps)) 1) in (eps) around 0 1.278 * [approximate]: Approximating (- (cos (/ -1 eps)) 1) in (eps) around 0 1.283 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.283 * [approximate]: Approximating (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in (x eps) around 0 1.284 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 1.291 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 1.302 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 1.316 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 1.320 * [approximate]: Approximating (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in (x eps) around 0 1.325 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in eps 1.333 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in eps 1.354 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in eps 1.374 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in eps 1.374 * [approximate]: Approximating (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in (x eps) around 0 1.379 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in eps 1.388 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in eps 1.403 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in eps 1.428 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in eps 1.429 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.429 * [approximate]: Approximating (* (- (cos eps) 1) (sin x)) in (x eps) around 0 1.430 * [taylor]: Taking taylor expansion of (* (- (cos eps) 1) (sin x)) in eps 1.434 * [taylor]: Taking taylor expansion of (* (- (cos eps) 1) (sin x)) in eps 1.439 * [taylor]: Taking taylor expansion of (* (- (cos eps) 1) (sin x)) in eps 1.440 * [approximate]: Approximating (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) in (x eps) around 0 1.443 * [taylor]: Taking taylor expansion of (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) in eps 1.447 * [taylor]: Taking taylor expansion of (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) in eps 1.454 * [taylor]: Taking taylor expansion of (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) in eps 1.463 * [taylor]: Taking taylor expansion of (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) in eps 1.463 * [approximate]: Approximating (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) in (x eps) around 0 1.466 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) in eps 1.470 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) in eps 1.477 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) in eps 1.486 * [taylor]: Taking taylor expansion of (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) in eps 1.486 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.486 * [approximate]: Approximating (* (sin eps) (cos x)) in (x eps) around 0 1.486 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 1.489 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 1.493 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 1.500 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 1.503 * [approximate]: Approximating (* (sin (/ 1 eps)) (cos (/ 1 x))) in (x eps) around 0 1.504 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.513 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.519 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.527 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.527 * [approximate]: Approximating (* (sin (/ -1 eps)) (cos (/ -1 x))) in (x eps) around 0 1.529 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 1.532 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 1.538 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 1.545 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 1.545 * * * [progress]: simplifying candidates 1.546 * [simplify]: Simplifying using # : (/ (exp (cos eps)) (exp 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1)) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (neg 1) (- (* (cos eps) (cos eps)) (* 1 1)) (+ (cos eps) 1) (+ (sqrt (cos eps)) (sqrt 1)) (- (sqrt (cos eps)) (sqrt 1)) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) (neg 1) (* (exp (* (sin x) (- (cos eps) 1))) (exp (* (cos x) (sin eps)))) (log (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (exp (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (* (cbrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (cbrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))))) (cbrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (* (* (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (sqrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (sqrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (+ (pow (* (sin x) (- (cos eps) 1)) 3) (pow (* (cos x) (sin eps)) 3)) (+ (* (* (sin x) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1))) (- (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))))) (- (* (* (sin x) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1))) (* (* (cos x) (sin eps)) (* (cos x) (sin eps)))) (- (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (+ (* (sin x) (neg 1)) (* (cos x) (sin eps))) (+ (* (sin x) (neg 1)) (* (cos x) (sin eps))) (+ (* (neg 1) (sin x)) (* (cos x) (sin eps))) (+ (* (neg 1) (sin x)) (* (cos x) (sin eps))) (* (sin x) (- (cos eps) 1)) (+ (log (sin x)) (log (- (cos eps) 1))) (log (* (sin x) (- (cos eps) 1))) (exp (* (sin x) (- (cos eps) 1))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))) (* (cbrt (* (sin x) (- (cos eps) 1))) (cbrt (* (sin x) (- (cos eps) 1)))) (cbrt (* (sin x) (- (cos eps) 1))) (* (* (* (sin x) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1))) (* (sin x) (- (cos eps) 1))) (sqrt (* (sin x) (- (cos eps) 1))) (sqrt (* (sin x) (- (cos eps) 1))) (* (sqrt (sin x)) (sqrt (- (cos eps) 1))) (* (sqrt (sin x)) (sqrt (- (cos eps) 1))) (* (sin x) (cos eps)) (* (sin x) (neg 1)) (* (sin x) (cos eps)) (* (sin x) (neg 1)) (* (cos eps) (sin x)) (* (neg 1) (sin x)) (* (cos eps) (sin x)) (* (neg 1) (sin x)) (* (sin x) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (* (sin x) (sqrt (- (cos eps) 1))) (* (sin x) 1) (* (sin x) (+ (sqrt (cos eps)) (sqrt 1))) (* (sin x) (+ (sqrt (cos eps)) 1)) (* (sin x) (+ (sqrt (cos eps)) 1)) (* (sin x) 1) (* (cbrt (sin x)) (- (cos eps) 1)) (* (sqrt (sin x)) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1)) (* (sin x) (- (pow (cos eps) 3) (pow 1 3))) (* (sin x) (- (* (cos eps) (cos eps)) (* 1 1))) (* (cos x) (sin eps)) (+ (log (cos x)) (log (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (sin eps) (sin eps)) (sin eps))) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (* (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (* (cos x) 1) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps)))) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) 0 (* (- (cos eps) 1) (sin x)) (* (- (cos eps) 1) (sin x)) (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) (* (sin eps) (cos x)) (* (sin eps) (cos x)) 1.551 * * [simplify]: iteration 0 : 337 enodes (cost 546 ) 1.558 * * [simplify]: iteration 1 : 1279 enodes (cost 498 ) 1.587 * * [simplify]: iteration 2 : 5001 enodes (cost 497 ) 1.590 * [simplify]: Simplified to: (exp (- (cos eps) 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1)) (pow (- (cos eps) 1) 3) (sqrt (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (- (pow (cos eps) 3) 1) (+ (* (cos eps) (+ (cos eps) 1)) 1) -1 (- (* (cos eps) (cos eps)) 1) (+ (cos eps) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) -1 (exp (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (log (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (exp (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (* (cbrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (cbrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))))) (cbrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (pow (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) 3) (sqrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (sqrt (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps)))) (+ (pow (* (sin x) (- (cos eps) 1)) 3) (pow (* (cos x) (sin eps)) 3)) (+ (* (* (cos x) (sin eps)) (- (* (cos x) (sin eps)) (* (sin x) (- (cos eps) 1)))) (* (* (sin x) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1)))) (- (* (* (sin x) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1))) (* (* (cos x) (sin eps)) (* (cos x) (sin eps)))) (- (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (- (* (cos x) (sin eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (* (sin x) (- (cos eps) 1)) (log (* (sin x) (- (cos eps) 1))) (log (* (sin x) (- (cos eps) 1))) (exp (* (sin x) (- (cos eps) 1))) (pow (* (sin x) (- (cos eps) 1)) 3) (* (cbrt (* (sin x) (- (cos eps) 1))) (cbrt (* (sin x) (- (cos eps) 1)))) (cbrt (* (sin x) (- (cos eps) 1))) (pow (* (sin x) (- (cos eps) 1)) 3) (sqrt (* (sin x) (- (cos eps) 1))) (sqrt (* (sin x) (- (cos eps) 1))) (* (sqrt (sin x)) (sqrt (- (cos eps) 1))) (* (sqrt (sin x)) (sqrt (- (cos eps) 1))) (* (sin x) (cos eps)) (* -1 (sin x)) (* (sin x) (cos eps)) (* -1 (sin x)) (* (sin x) (cos eps)) (* -1 (sin x)) (* (sin x) (cos eps)) (* -1 (sin x)) (* (sin x) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (* (sin x) (sqrt (- (cos eps) 1))) (sin x) (* (sin x) (+ (sqrt (cos eps)) 1)) (* (sin x) (+ (sqrt (cos eps)) 1)) (* (sin x) (+ (sqrt (cos eps)) 1)) (sin x) (* (cbrt (sin x)) (- (cos eps) 1)) (* (sqrt (sin x)) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1)) (* (sin x) (- (pow (cos eps) 3) 1)) (* (sin x) (- (* (cos eps) (cos eps)) 1)) (* (cos x) (sin eps)) (log (* (cos x) (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (cos x) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (+ (* -1/2 (+ (* x (pow eps 2)) (* (pow x 2) eps))) eps) (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) (+ (* (sin x) (- (cos eps) 1)) (* (cos x) (sin eps))) 0 (* (sin x) (- (cos eps) 1)) (* (sin x) (- (cos eps) 1)) (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) (* (cos x) (sin eps)) (* (cos x) (sin eps)) 1.591 * * * [progress]: adding candidates to table 1.851 * * [progress]: iteration 4 / 4 1.851 * * * [progress]: picking best candidate 1.911 * * * * [pick]: Picked # 1.911 * * * [progress]: localizing error 1.929 * * * [progress]: generating rewritten candidates 1.929 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 1.933 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1) 1.937 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 1.941 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.956 * * * [progress]: generating series expansions 1.957 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 1.957 * [approximate]: Approximating (- (cos eps) 1) in (eps) around 0 1.970 * [approximate]: Approximating (- (cos (/ 1 eps)) 1) in (eps) around 0 1.975 * [approximate]: Approximating (- (cos (/ -1 eps)) 1) in (eps) around 0 1.981 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1) 1.981 * [approximate]: Approximating (- (cos eps) 1) in (eps) around 0 2.000 * [approximate]: Approximating (- (cos (/ 1 eps)) 1) in (eps) around 0 2.005 * [approximate]: Approximating (- (cos (/ -1 eps)) 1) in (eps) around 0 2.010 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 2.010 * [approximate]: Approximating (- (cos eps) 1) in (eps) around 0 2.023 * [approximate]: Approximating (- (cos (/ 1 eps)) 1) in (eps) around 0 2.029 * [approximate]: Approximating (- (cos (/ -1 eps)) 1) in (eps) around 0 2.034 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.034 * [approximate]: Approximating (pow (pow (- (cos eps) 1) 2) 1/3) in (eps) around 0 2.094 * [approximate]: Approximating (pow (pow (- (cos (/ 1 eps)) 1) 2) 1/3) in (eps) around 0 2.147 * [approximate]: Approximating (pow (pow (- (cos (/ -1 eps)) 1) 2) 1/3) in (eps) around 0 2.208 * * * [progress]: simplifying candidates 2.210 * [simplify]: Simplifying using # : (/ (exp (cos eps)) (exp 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1)) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (neg 1) (- (* (cos eps) (cos eps)) (* 1 1)) (+ (cos eps) 1) (+ (sqrt (cos eps)) (sqrt 1)) (- (sqrt (cos eps)) (sqrt 1)) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) (neg 1) (/ (exp (cos eps)) (exp 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1)) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (neg 1) (- (* (cos eps) (cos eps)) (* 1 1)) (+ (cos eps) 1) (+ (sqrt (cos eps)) (sqrt 1)) (- (sqrt (cos eps)) (sqrt 1)) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) (neg 1) (/ (exp (cos eps)) (exp 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1)) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (neg 1) (- (* (cos eps) (cos eps)) (* 1 1)) (+ (cos eps) 1) (+ (sqrt (cos eps)) (sqrt 1)) (- (sqrt (cos eps)) (sqrt 1)) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) (neg 1) (+ 1/3 1/3) (+ 1 1) (* (- (cos eps) 1) (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (+ 1 1) (+ (log (cbrt (- (cos eps) 1))) (log (cbrt (- (cos eps) 1)))) (log (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (exp (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (* (- (cos eps) 1) (- (cos eps) 1)) (* (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))))) (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (* (* (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (sqrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (sqrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (* (cbrt (- (pow (cos eps) 3) (pow 1 3))) (cbrt (- (pow (cos eps) 3) (pow 1 3)))) (* (cbrt (+ (* (cos 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(cbrt 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (+ (sqrt (cos eps)) (sqrt 1))) (cbrt (+ (sqrt (cos eps)) (sqrt 1)))) (* (cbrt (- (sqrt (cos eps)) (sqrt 1))) (cbrt (- (sqrt (cos eps)) (sqrt 1)))) (* (cbrt (+ (sqrt (cos eps)) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (sqrt (cos eps)) 1))) (* (cbrt (+ (sqrt (cos eps)) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (sqrt (cos eps)) 1))) (* (cbrt (+ (sqrt (cos eps)) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (sqrt (cos eps)) 1))) (* (cbrt (+ (sqrt (cos eps)) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (sqrt (cos eps)) 1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (cbrt 1) (cbrt 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (* (cbrt (cbrt (- (cos eps) 1))) (cbrt (cbrt (- (cos eps) 1)))) (* (cbrt (cbrt (- (cos eps) 1))) (cbrt (cbrt (- (cos eps) 1))))) (* (cbrt (cbrt (- (cos eps) 1))) (cbrt (cbrt (- (cos eps) 1)))) (* (sqrt (cbrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* (sqrt (cbrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* 1 1) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (sqrt (- (cos eps) 1))) (cbrt (sqrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (cbrt (sqrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* (sqrt (cbrt (- (cos eps) 1))) (cbrt (sqrt (- (cos eps) 1)))) (* (sqrt (cbrt (- (cos eps) 1))) (cbrt (sqrt (- (cos eps) 1)))) (* (sqrt (cbrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* (sqrt (cbrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* 2 1/3) (* 2 1) (* (cbrt (- (cos eps) 1)) (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))))) (* (cbrt (- (cos eps) 1)) (cbrt (sqrt (- (cos eps) 1)))) (* (cbrt (- (cos eps) 1)) (cbrt 1)) (* (cbrt (- (cos eps) 1)) (cbrt (+ (sqrt (cos eps)) (sqrt 1)))) (* (cbrt (- (cos eps) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (cos eps) 1)) (cbrt 1)) (* (cbrt (- (cos eps) 1)) (* (cbrt (cbrt (- (cos eps) 1))) (cbrt (cbrt (- (cos eps) 1))))) (* (cbrt (- (cos eps) 1)) (sqrt (cbrt (- (cos eps) 1)))) (* (cbrt (- (cos eps) 1)) 1) (* (cbrt (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1))) (* (cbrt (sqrt (- (cos eps) 1))) (cbrt (- (cos eps) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (- (sqrt (cos eps)) (sqrt 1))) (cbrt (- (cos eps) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1))) (* (sqrt (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (- (pow (cos eps) 3) (pow 1 3)))) (* (cbrt (- (cos eps) 1)) (cbrt (- (* (cos eps) (cos eps)) (* 1 1)))) (* (cbrt (- (pow (cos eps) 3) (pow 1 3))) (cbrt (- (cos eps) 1))) (* (cbrt (- (* (cos eps) (cos eps)) (* 1 1))) (cbrt (- (cos eps) 1))) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (- (+ (exp (* 1/3 (+ (* 4 (log eps)) (log 1/4)))) (* 7/6480 (* (exp (* 1/3 (+ (* 4 (log eps)) (log 1/4)))) (pow eps 4)))) (* 1/18 (* (exp (* 1/3 (+ (* 4 (log eps)) (log 1/4)))) (pow eps 2)))) (pow (pow (- (cos eps) 1) 2) 1/3) (pow (pow (- (cos eps) 1) 2) 1/3) 2.216 * * [simplify]: iteration 0 : 235 enodes (cost 935 ) 2.222 * * [simplify]: iteration 1 : 839 enodes (cost 868 ) 2.242 * * [simplify]: iteration 2 : 3926 enodes (cost 814 ) 2.341 * * [simplify]: iteration 3 : 5003 enodes (cost 797 ) 2.346 * [simplify]: Simplified to: (exp (- (cos eps) 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (pow (pow (- (cos eps) 1) 2) 1/3) (cbrt (- (cos eps) 1)) (pow (- (cos eps) 1) 3) (pow (- (cos eps) 1) 1/2) (pow (- (cos eps) 1) 1/2) (+ (pow (cos eps) 3) -1) (+ (* (cos eps) (+ (cos eps) 1)) 1) -1 (+ (* (cos eps) (cos eps)) -1) (+ (cos eps) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) -1 (exp (- (cos eps) 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (pow (pow (- (cos eps) 1) 2) 1/3) (cbrt (- (cos eps) 1)) (pow (- (cos eps) 1) 3) (pow (- (cos eps) 1) 1/2) (pow (- (cos eps) 1) 1/2) (+ (pow (cos eps) 3) -1) (+ (* (cos eps) (+ (cos eps) 1)) 1) -1 (+ (* (cos eps) (cos eps)) -1) (+ (cos eps) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) -1 (exp (- (cos eps) 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (pow (pow (- (cos eps) 1) 2) 1/3) (cbrt (- (cos eps) 1)) (pow (- (cos eps) 1) 3) (pow (- (cos eps) 1) 1/2) (pow (- (cos eps) 1) 1/2) (+ (pow (cos eps) 3) -1) (+ (* (cos eps) (+ (cos eps) 1)) 1) -1 (+ (* (cos eps) (cos eps)) -1) (+ (cos eps) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) -1 2/3 2 (pow (- (cos eps) 1) 2) (pow (pow (- (cos eps) 1) 2) 1/3) 2 (* 2 (log (cbrt (- (cos eps) 1)))) (* 2 (log (cbrt (- (cos eps) 1)))) (pow E (pow (sqrt (cbrt (- (cos eps) 1))) 4)) (pow (- (cos eps) 1) 2) (* (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))))) (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (pow (- (cos eps) 1) 2) (fabs (cbrt (- (cos eps) 1))) (fabs (cbrt (- (cos eps) 1))) (* (cbrt (- (pow (cos eps) 3) (pow 1 3))) (cbrt (- (pow (cos eps) 3) (pow 1 3)))) (* (cbrt (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (cbrt (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))) (* (cbrt (- (pow (cos eps) 3) (pow 1 3))) (cbrt (- (* (cos eps) (cos eps)) (* 1 1)))) (* (cbrt (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (cbrt (+ (cos eps) 1))) (* (cbrt (- (pow (cos eps) 3) (pow 1 3))) (cbrt (- (* (cos eps) (cos eps)) (* 1 1)))) (* (cbrt (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (cbrt (+ (cos eps) 1))) (* (cbrt (- (* (cos eps) (cos eps)) (* 1 1))) (cbrt (- (* (cos eps) (cos eps)) (* 1 1)))) (* (cbrt (+ (cos eps) 1)) (cbrt (+ (cos eps) 1))) (* (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))))) (* (cbrt (cbrt (- (cos eps) 1))) (cbrt (cbrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (cbrt (sqrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (cbrt (sqrt (- (cos eps) 1)))) 1 (pow (pow (- (cos eps) 1) 2) 1/3) 1 (pow (pow (- (cos eps) 1) 2) 1/3) (* (cbrt (+ (sqrt 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1)))) (* (cbrt (sqrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (* (cbrt (sqrt (- (cos eps) 1))) (sqrt (cbrt (- (cos eps) 1)))) (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)) 2/3 2 (* (cbrt (- (cos eps) 1)) (cbrt (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))))) (* (cbrt (- (cos eps) 1)) (cbrt (sqrt (- (cos eps) 1)))) (cbrt (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (* (cbrt (- (cos eps) 1)) (cbrt (+ (sqrt (cos eps)) 1))) (cbrt (- (cos eps) 1)) (pow (cbrt (cbrt (- (cos eps) 1))) 5) (pow (sqrt (cbrt (- (cos eps) 1))) 3) (cbrt (- (cos eps) 1)) (pow (cbrt (cbrt (- (cos eps) 1))) 4) (* (cbrt (- (cos eps) 1)) (cbrt (sqrt (- (cos eps) 1)))) (pow (pow (- (cos eps) 1) 2) 1/3) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (cos eps) 1))) (* (cbrt (- (sqrt (cos eps)) 1)) (cbrt (- (cos eps) 1))) (pow (pow (- (cos eps) 1) 2) 1/3) (pow (cbrt (cbrt (- (cos eps) 1))) 4) (pow (sqrt (cbrt (- (cos eps) 1))) 3) (pow (pow (- (cos eps) 1) 2) 1/3) (* (cbrt (- (cos eps) 1)) (cbrt (- (pow (cos eps) 3) (pow 1 3)))) (* (cbrt (- (cos eps) 1)) (cbrt (- (* (cos eps) (cos eps)) (* 1 1)))) (* (cbrt (- (cos eps) 1)) (cbrt (- (pow (cos eps) 3) (pow 1 3)))) (* (cbrt (- (cos eps) 1)) (cbrt (- (* (cos eps) (cos eps)) (* 1 1)))) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (+ (+ (* (pow eps 2) (* -1/18 (* (pow 1/4 1/3) (pow eps 4/3)))) (* 7/6480 (* (exp (* 1/3 (+ (* 4 (log eps)) (log 1/4)))) (pow eps 4)))) (* (pow 1/4 1/3) (pow eps 4/3))) (pow (pow (- (cos eps) 1) 2) 1/3) (pow (pow (- (cos eps) 1) 2) 1/3) 2.347 * * * [progress]: adding candidates to table 3.005 * [progress]: [Phase 3 of 3] Extracting. 3.005 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 3.009 * * * [regime-changes]: Trying 2 branch expressions: (eps x) 3.009 * * * * [regimes]: Trying to branch on eps from (# # # # # # # # # # # #) 3.101 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 3.191 * * * [regime]: Found split indices: #