0.782 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.314 * * * [progress]: [2/2] Setting up program. 0.319 * [progress]: [Phase 2 of 3] Improving. 0.321 * [simplify]: Simplifying using # : (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.325 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.327 * * [simplify]: iteration 1 : 21 enodes (cost 9 ) 0.328 * * [simplify]: iteration 2 : 26 enodes (cost 9 ) 0.329 * * [simplify]: iteration 3 : 34 enodes (cost 9 ) 0.330 * * [simplify]: iteration 4 : 37 enodes (cost 9 ) 0.331 * * [simplify]: iteration 5 : 37 enodes (cost 9 ) 0.332 * [simplify]: Simplified to: (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 0.333 * * [progress]: iteration 1 / 4 0.334 * * * [progress]: picking best candidate 0.338 * * * * [pick]: Picked # 0.338 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.355 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.360 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.363 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.393 * * * [progress]: generating series expansions 0.393 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.397 * [approximate]: Approximating (pow (tan x) 2) in (x) around 0 0.421 * [approximate]: Approximating (pow (tan (/ 1 x)) 2) in (x) around 0 0.432 * [approximate]: Approximating (pow (tan (/ -1 x)) 2) in (x) around 0 0.442 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.442 * [approximate]: Approximating (pow (tan x) 2) in (x) around 0 0.461 * [approximate]: Approximating (pow (tan (/ 1 x)) 2) in (x) around 0 0.471 * [approximate]: Approximating (pow (tan (/ -1 x)) 2) in (x) around 0 0.488 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.488 * [approximate]: Approximating (- 1.0 (pow (tan x) 2)) in (x) around 0 0.499 * [approximate]: Approximating (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 0.514 * [approximate]: Approximating (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 0.528 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.529 * [approximate]: Approximating (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 0.561 * [approximate]: Approximating (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 0.599 * [approximate]: Approximating (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 0.635 * * * [progress]: simplifying candidates 0.637 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))) (neg (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (neg (* (tan x) (tan x))) (- (log (- 1.0 (* (tan x) (tan x)))) (log (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (* (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (* (* (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (neg (- 1.0 (* (tan x) (tan x)))) (neg (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) 1) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) 1) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 1) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) 1) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) 1) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 0.643 * * [simplify]: iteration 0 : 314 enodes (cost 909 ) 0.649 * * [simplify]: iteration 1 : 1157 enodes (cost 838 ) 0.673 * * [simplify]: iteration 2 : 5001 enodes (cost 824 ) 0.679 * [simplify]: Simplified to: 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (pow (cbrt (tan x)) 4) (cbrt (tan x))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (neg (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1)) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (neg (* (tan x) (tan x))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (log (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (exp (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (* (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))) (cbrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (pow (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) 3) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (sqrt (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))) (neg (- 1.0 (* (tan x) (tan x)))) (neg (+ 1.0 (* (tan x) (tan x)))) (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (cbrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- (sqrt 1.0) (tan x)) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (+ (sqrt 1.0) (tan x)) (/ (- (sqrt 1.0) (tan x)) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (- 1.0 (* (tan x) (tan x))) (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (sqrt (- 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (/ (- 1.0 (* (tan x) (tan x))) (+ (pow 1.0 3) (pow (* (tan x) (tan x)) 3))) (/ (- 1.0 (* (tan x) (tan x))) (- (/ (* 1.0 1.0) 1) (/ (pow (tan x) 4) 1))) (* (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 0.679 * * * [progress]: adding candidates to table 1.049 * * [progress]: iteration 2 / 4 1.049 * * * [progress]: picking best candidate 1.089 * * * * [pick]: Picked # 1.089 * * * [progress]: localizing error 1.098 * * * [progress]: generating rewritten candidates 1.098 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.103 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.108 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.117 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.126 * * * [progress]: generating series expansions 1.126 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.126 * [approximate]: Approximating (pow (tan x) 2) in (x) around 0 1.148 * [approximate]: Approximating (pow (tan (/ 1 x)) 2) in (x) around 0 1.158 * [approximate]: Approximating (pow (tan (/ -1 x)) 2) in (x) around 0 1.168 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.168 * [approximate]: Approximating (pow (tan x) 2) in (x) around 0 1.185 * [approximate]: Approximating (pow (tan (/ 1 x)) 2) in (x) around 0 1.195 * [approximate]: Approximating (pow (tan (/ -1 x)) 2) in (x) around 0 1.205 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.205 * [approximate]: Approximating (/ (- 1.0 (pow (tan x) 2)) (+ (pow (tan x) 2) 1.0)) in (x) around 0 1.239 * [approximate]: Approximating (/ (- 1.0 (pow (tan (/ 1 x)) 2)) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 1.275 * [approximate]: Approximating (/ (- 1.0 (pow (tan (/ -1 x)) 2)) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 1.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.315 * [approximate]: Approximating (- 1.0 (pow (tan x) 2)) in (x) around 0 1.326 * [approximate]: Approximating (- 1.0 (pow (tan (/ 1 x)) 2)) in (x) around 0 1.340 * [approximate]: Approximating (- 1.0 (pow (tan (/ -1 x)) 2)) in (x) around 0 1.354 * * * [progress]: simplifying candidates 1.357 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt 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(* (* (tan x) (tan x)) (* (tan x) (tan x)))))) (/ (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (cbrt 1)) (/ (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (sqrt 1)) (/ (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) 1) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (exp 1.0) (exp (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (* (* (- 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* 1.0 1.0) (+ (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1.0 (* (tan x) (tan x))))) (neg (* (tan x) (tan x))) (- (* 1.0 1.0) (* (* (tan x) (tan x)) (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (neg (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 1.366 * * [simplify]: iteration 0 : 545 enodes (cost 2148 ) 1.377 * * [simplify]: iteration 1 : 2567 enodes (cost 1966 ) 1.418 * * [simplify]: iteration 2 : 5001 enodes (cost 1864 ) 1.428 * [simplify]: Simplified to: 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) 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(* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (log (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (log (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (log (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (log (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (log (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (log (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (exp (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (pow (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) 3)) (/ 1 (pow (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) 3)) (* (cbrt (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (cbrt (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))))))) (cbrt (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (pow (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) 3)) (sqrt (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (sqrt (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) -1 (neg (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x))))) (/ (/ 1 (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (* 1 (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (/ (cbrt (+ 1.0 (* (tan x) (tan x)))) (- (sqrt 1.0) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (/ (sqrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (/ (sqrt (+ 1.0 (* (tan x) (tan x)))) (- (sqrt 1.0) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x)))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ (sqrt 1.0) (tan x)) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))) (/ 1 (/ (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) 1)) (* (+ (* (neg (pow (tan x) 3)) (tan x)) (* 1.0 1.0)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (/ 1 (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (* 1 (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (/ (cbrt (+ 1.0 (* (tan x) (tan x)))) (- (sqrt 1.0) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (/ (sqrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (/ (sqrt (+ 1.0 (* (tan x) (tan x)))) (- (sqrt 1.0) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x)))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ (sqrt 1.0) (tan x)) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))) (/ 1 (/ (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) 1)) (* (+ (* (neg (pow (tan x) 3)) (tan x)) (* 1.0 1.0)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (/ 1 (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (* 1 (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (- 1.0 (* (tan x) (tan x))) (cbrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (/ (cbrt (+ 1.0 (* (tan x) (tan x)))) (- (sqrt 1.0) (tan x)))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (/ (sqrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (- 1.0 (* (tan x) (tan x))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (/ (sqrt (+ 1.0 (* (tan x) (tan x)))) (- (sqrt 1.0) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (cbrt (- 1.0 (* (tan x) (tan x)))))) (sqrt (- 1.0 (* (tan x) (tan x)))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (+ 1.0 (* (tan x) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (+ (sqrt 1.0) (tan x)) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x)))) 1 (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (- 1.0 (* (tan x) (tan x))) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))) (/ 1 (/ (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) 1)) (* (+ (* (neg (pow (tan x) 3)) (tan x)) (* 1.0 1.0)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (/ 1 (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (cbrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ 1 (sqrt (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ 1 (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (+ (sqrt 1.0) (tan x)) (* (cbrt (+ 1.0 (* (tan x) (tan x)))) (cbrt (+ 1.0 (* (tan x) (tan x)))))) (/ (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ 1 (sqrt (+ 1.0 (* (tan x) (tan x))))) (/ (+ (sqrt 1.0) (tan x)) (sqrt (+ 1.0 (* (tan x) (tan x))))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (sqrt (- 1.0 (* (tan x) (tan x)))) 1 (+ (sqrt 1.0) (tan x)) 1 (/ 1 (+ 1.0 (* (tan x) (tan x)))) (/ 1 (/ (+ 1.0 (* (tan x) (tan x))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)))) (* (+ (* (neg (pow (tan x) 3)) (tan x)) (* 1.0 1.0)) (/ 1 (+ 1.0 (* (tan x) (tan x))))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ (+ 1.0 (* (tan x) (tan x))) (- 1.0 (* (tan x) (tan x)))) (/ 1 (+ 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (log (- 1.0 (* (tan x) (tan x)))) (exp (- 1.0 (* (tan x) (tan x)))) (* (cbrt (- 1.0 (* (tan x) (tan x)))) (cbrt (- 1.0 (* (tan x) (tan x))))) (cbrt (- 1.0 (* (tan x) (tan x)))) (pow (- 1.0 (* (tan x) (tan x))) 3) (sqrt (- 1.0 (* (tan x) (tan x)))) (sqrt (- 1.0 (* (tan x) (tan x)))) (- (pow 1.0 3) (pow (* (tan x) (tan x)) 3)) (+ (* (* (tan x) (tan x)) (+ (* (tan x) (tan x)) 1.0)) (* 1.0 1.0)) (neg (* (tan x) (tan x))) (+ (* (neg (pow (tan x) 3)) (tan x)) (* 1.0 1.0)) (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)) (neg (* (tan x) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (* 0.6666666666666669 (pow x 4)) 1.0) (* 2.0 (pow x 2))) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (- 1.0 (+ (pow x 2) (* 2/3 (pow x 4)))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) (- 1.0 (/ (pow (sin x) 2) (pow (cos x) 2))) 1.429 * * * [progress]: adding candidates to table 1.917 * * [progress]: iteration 3 / 4 1.917 * * * [progress]: picking best candidate 1.952 * * * * [pick]: Picked # 1.953 * * * [progress]: localizing error 1.963 * * * [progress]: generating rewritten candidates 1.963 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.968 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.979 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.983 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.003 * * * [progress]: generating series expansions 2.003 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.003 * [approximate]: Approximating (pow (tan x) 2) in (x) around 0 2.020 * [approximate]: Approximating (pow (tan (/ 1 x)) 2) in (x) around 0 2.030 * [approximate]: Approximating (pow (tan (/ -1 x)) 2) in (x) around 0 2.041 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.042 * [approximate]: Approximating (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) in (x) around 0 2.092 * [approximate]: Approximating (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) in (x) around 0 2.132 * [approximate]: Approximating (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) in (x) around 0 2.186 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.187 * [approximate]: Approximating (+ (tan x) (sqrt 1.0)) in (x) around 0 2.200 * [approximate]: Approximating (+ (tan (/ 1 x)) (sqrt 1.0)) in (x) around 0 2.213 * [approximate]: Approximating (+ (tan (/ -1 x)) (sqrt 1.0)) in (x) around 0 2.226 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.227 * [approximate]: Approximating (/ (* (- (sqrt 1.0) (tan x)) (+ (tan x) (sqrt 1.0))) (+ (pow (tan x) 2) 1.0)) in (x) around 0 2.319 * [approximate]: Approximating (/ (* (+ (tan (/ 1 x)) (sqrt 1.0)) (- (sqrt 1.0) (tan (/ 1 x)))) (+ (pow (tan (/ 1 x)) 2) 1.0)) in (x) around 0 2.392 * [approximate]: Approximating (/ (* (- (sqrt 1.0) (tan (/ -1 x))) (+ (tan (/ -1 x)) (sqrt 1.0))) (+ (pow (tan (/ -1 x)) 2) 1.0)) in (x) around 0 2.464 * * * [progress]: simplifying candidates 2.466 * [simplify]: Simplifying using # : (+ 1 1) (* (tan x) (tan x)) (+ 1 1) (+ (log (tan x)) (log (tan x))) (log (* (tan x) (tan x))) (exp (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan x) (tan x)) (tan x))) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (* (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (sqrt (* (tan x) (tan x))) (* (sin x) (sin x)) (* (cos x) (cos x)) (* (* (cbrt (tan x)) (cbrt (tan x))) (* (cbrt (tan x)) (cbrt (tan x)))) (* (cbrt (tan x)) (cbrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 1 1) (* (tan x) (tan x)) (* (sqrt (tan x)) (sqrt (tan x))) (* (sqrt (tan x)) (sqrt (tan x))) (* 2 1) (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (* (tan x) (sqrt (tan x))) (* (tan x) 1) (* (cbrt (tan x)) (tan x)) (* (sqrt (tan x)) (tan x)) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (sin x) (tan x)) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ (log (+ (sqrt 1.0) (tan x))) (log (- (sqrt 1.0) (tan x)))) (log (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (exp (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (* (* (+ (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x))) (+ (sqrt 1.0) (tan x))) (* (* (- (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (- (sqrt 1.0) (tan x)))) (* (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))))) (cbrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (* (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (sqrt (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (+ (pow (sqrt 1.0) 3) (pow (tan x) 3)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x)))) (* (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))) (+ (sqrt 1.0) (tan x))) (* (- (* (sqrt 1.0) (sqrt 1.0)) (* (tan x) (tan x))) (- (pow (sqrt 1.0) 3) (pow (tan x) 3))) (* (- (sqrt 1.0) (tan x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* 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(sqrt 1.0) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (* (- (sqrt 1.0) (tan x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x)))))) (* (+ 1.0 (* (tan x) (tan x))) (* (- (sqrt 1.0) (tan x)) (+ (sqrt 1.0) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x))) (* (+ 1.0 (* (tan x) (tan x))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (tan x) (tan x)) (* (sqrt 1.0) (tan x))))) (* (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (pow (sqrt 1.0) 2) (+ (pow x 2) (* 2/3 (pow x 4)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (+ (* 1/3 (pow x 3)) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (+ (* 0.33333333333333337 (pow x 4)) (+ (* 0.33333333333333337 (* (pow x 4) (pow (sqrt 1.0) 2))) (* 1.0 (pow (sqrt 1.0) 2)))) (+ (* 1.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (* 1.0 (pow x 2)))) (/ (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 2.472 * * [simplify]: iteration 0 : 517 enodes (cost 1120 ) 2.483 * * [simplify]: iteration 1 : 2851 enodes (cost 938 ) 2.536 * * [simplify]: iteration 2 : 5001 enodes (cost 923 ) 2.541 * [simplify]: Simplified to: 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan 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(sqrt 1.0))) 1.0) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x)))) (- (* 1.0 1.0) (pow (tan x) 4)) (* (+ (* (tan x) (+ (tan x) (sqrt 1.0))) 1.0) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (+ (sqrt 1.0) (tan x))) (* (+ (* (tan x) (- (tan x) (sqrt 1.0))) 1.0) (+ 1.0 (* (tan x) (tan x)))) (* (+ 1.0 (* (tan x) (tan x))) (- (sqrt 1.0) (tan x))) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (- 1.0 (pow x 2)) (* 2/3 (pow x 4))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (* (- (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x)))) (+ (* 1/3 (pow x 3)) (+ (sqrt 1.0) x)) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (sqrt 1.0) (/ (sin x) (cos x))) (+ (* 0.33333333333333337 (+ (pow x 4) (* 1.0 (pow x 4)))) (- (* 1.0 1.0) (* (+ 1.0 1) (* 1.0 (pow x 2))))) (/ (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) (/ (* (+ (sqrt 1.0) (/ (sin x) (cos x))) (- (sqrt 1.0) (/ (sin x) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) 1.0)) 2.542 * * * [progress]: adding candidates to table 3.017 * * [progress]: iteration 4 / 4 3.017 * * * [progress]: picking best candidate 3.053 * * * * [pick]: Picked # 3.053 * * * [progress]: localizing error 3.068 * * * [progress]: generating rewritten candidates 3.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 3.071 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 3.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.091 * * * [progress]: generating series expansions 3.091 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 3.091 * [approximate]: Approximating (pow (cos x) 2) in (x) around 0 3.099 * [approximate]: Approximating (pow (cos (/ 1 x)) 2) in (x) around 0 3.106 * [approximate]: Approximating (pow (cos (/ -1 x)) 2) in (x) around 0 3.116 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.116 * [approximate]: Approximating (pow (tan x) 2) in (x) around 0 3.134 * [approximate]: Approximating (pow (tan (/ 1 x)) 2) in (x) around 0 3.144 * [approximate]: Approximating (pow (tan (/ -1 x)) 2) in (x) around 0 3.154 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 3.154 * [approximate]: Approximating (pow (sin x) 2) in (x) around 0 3.164 * [approximate]: Approximating (pow (sin (/ 1 x)) 2) in (x) around 0 3.171 * [approximate]: Approximating (pow (sin (/ -1 x)) 2) in (x) around 0 3.177 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.178 * [approximate]: Approximating (/ (pow (sin x) 2) (pow (cos x) 2)) in (x) around 0 3.204 * [approximate]: Approximating (/ (pow (sin (/ 1 x)) 2) (pow (cos (/ 1 x)) 2)) in (x) around 0 3.220 * [approximate]: Approximating (/ (pow (sin (/ -1 x)) 2) (pow (cos (/ -1 x)) 2)) in (x) around 0 3.237 * * * [progress]: simplifying candidates 3.240 * [simplify]: Simplifying using 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2)) (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 2) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (pow (sin x) 2) (sqrt (pow (cos x) 2))) (/ (pow (sin x) 2) 1) (/ (pow (sin x) 2) (pow (cos x) (/ 2 2))) (/ (pow (cos x) 2) (pow (cbrt (sin x)) 2)) (/ (pow (cos x) 2) (pow (sqrt (sin x)) 2)) (/ (pow (cos x) 2) (pow (sin x) 2)) (/ (pow (cos x) 2) (sin x)) (/ (pow (cos x) 2) (cbrt (pow (sin x) 2))) (/ (pow (cos x) 2) (sqrt (pow (sin x) 2))) (/ (pow (cos x) 2) (pow (sin x) 2)) (/ (pow (cos x) 2) (pow (sin x) (/ 2 2))) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) 3.247 * * [simplify]: iteration 0 : 375 enodes (cost 1244 ) 3.254 * * [simplify]: iteration 1 : 1542 enodes (cost 1063 ) 3.278 * * [simplify]: iteration 2 : 5002 enodes (cost 1029 ) 3.285 * [simplify]: Simplified to: (log (pow (cos x) 2)) (log (pow (cos x) 2)) 2 (pow (cos x) (* (cbrt 2) (cbrt 2))) (pow (cos x) (sqrt 2)) (cos x) (pow (cbrt (cos x)) 4) (pow (cbrt (cos x)) 2) (cos x) (cos x) 1 (pow (cos x) 2) (log (pow (cos x) 2)) (exp (pow (cos x) 2)) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2)) (pow (pow (cos x) 2) 3) (fabs (cos x)) (fabs (cos x)) (cos x) (cos x) 2 (* (tan x) (tan x)) 2 (* 2 (log (tan x))) (* 2 (log (tan x))) (exp (* (tan x) (tan x))) (pow (tan x) 6) (* (cbrt (* (tan x) (tan x))) (cbrt (* (tan x) (tan x)))) (cbrt (* (tan x) (tan x))) (pow (tan x) 6) (fabs (tan x)) (fabs (tan x)) (pow (sin x) 2) (pow (cos x) 2) (pow (cbrt (tan x)) 4) (* (cbrt (tan x)) (cbrt (tan x))) (tan x) (tan x) 1 (* (tan x) (tan x)) (tan x) (tan x) 2 (* (tan x) (* (cbrt (tan x)) (cbrt (tan x)))) (pow (sqrt (tan x)) 3) (tan x) (pow (cbrt (tan x)) 4) (pow (sqrt (tan x)) 3) (* (tan x) (tan x)) (* (tan x) (sin x)) (* (tan x) (sin x)) (log (pow (sin x) 2)) (log (pow (sin x) 2)) 2 (pow (sin x) (* (cbrt 2) (cbrt 2))) (pow (sin x) (sqrt 2)) (sin x) (pow (cbrt (sin x)) 4) (pow (cbrt (sin x)) 2) (sin x) (sin x) 1 (pow (sin x) 2) (log (pow (sin x) 2)) (exp (pow (sin x) 2)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (cbrt (pow (sin x) 2)) (pow (pow (sin x) 2) 3) (fabs (sin x)) (fabs (sin x)) (sin x) (sin x) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (* 2 (- (log (sin x)) (log (cos x)))) (exp (/ (pow (sin x) 2) (pow (cos x) 2))) (pow (/ (pow (sin x) 2) (pow (cos x) 2)) 3) (* (cbrt (/ (pow (sin x) 2) (pow (cos x) 2))) (cbrt 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x) (cos x)) (sin x) (/ (sin x) (pow (cos x) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (/ (sin x) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (sin x) (cbrt (pow (cos x) 2))) (/ (sin x) (fabs (cos x))) (/ (sin x) (fabs (cos x))) (sin x) (/ (sin x) (pow (cos x) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (/ 1 (pow (cbrt (cos x)) 4)) (/ (pow (sin x) 2) (pow (cbrt (cos x)) 2)) (/ 1 (cos x)) (/ (pow (sin x) 2) (cos x)) 1 (/ (pow (sin x) 2) (pow (cos x) 2)) (/ 1 (cos x)) (/ (pow (sin x) 2) (cos x)) (/ 1 (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (pow (sin x) 2) (cbrt (pow (cos x) 2))) (/ 1 (fabs (cos x))) (/ (pow (sin x) 2) (sqrt (pow (cos x) 2))) 1 (/ (pow (sin x) 2) (pow (cos x) 2)) (/ 1 (cos x)) (/ (pow (sin x) 2) (cos x)) (/ (sin x) (pow (cbrt (cos x)) 4)) (/ (sin x) (pow (cbrt (cos x)) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (sin x) (/ (sin x) (pow (cos x) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (/ (sin x) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (sin x) (cbrt (pow (cos x) 2))) (/ (sin x) (fabs (cos x))) (/ (sin x) (fabs (cos x))) (sin x) (/ (sin x) (pow (cos x) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (* (/ (cbrt (pow (sin x) 2)) (pow (cbrt (cos x)) 4)) (cbrt (pow (sin x) 2))) (/ (cbrt (pow (sin x) 2)) (pow (cbrt (cos x)) 2)) (/ (cbrt (pow (sin x) 2)) (/ (cos x) (cbrt (pow (sin x) 2)))) (/ (cbrt (pow (sin x) 2)) (cos x)) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (/ (cbrt (pow (sin x) 2)) (pow (cos x) 2)) (/ (cbrt (pow (sin x) 2)) (/ (cos x) (cbrt (pow (sin x) 2)))) (/ (cbrt (pow (sin x) 2)) (cos x)) (/ (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (cbrt (pow (sin x) 2)) (cbrt (pow (cos x) 2))) (/ (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (fabs (cos x))) (/ (/ (cbrt (pow (sin x) 2)) 1) (fabs (cos x))) (* (cbrt (pow (sin x) 2)) (cbrt (pow (sin x) 2))) (/ (cbrt (pow (sin x) 2)) (pow (cos x) 2)) (/ (cbrt (pow (sin x) 2)) (/ (cos x) (cbrt (pow (sin x) 2)))) (/ (cbrt (pow (sin x) 2)) (cos x)) (/ (fabs (sin x)) (pow (cbrt (cos x)) 4)) (/ (fabs (sin x)) (pow (cbrt (cos x)) 2)) (/ (fabs (sin x)) (cos x)) (/ (fabs (sin x)) (cos x)) (fabs (sin x)) (/ (fabs (sin x)) (pow (cos x) 2)) (/ (fabs (sin x)) (cos x)) (/ (fabs (sin x)) (cos x)) (/ (/ (fabs (sin x)) (cbrt (pow (cos x) 2))) (cbrt (pow (cos x) 2))) (/ (fabs (sin x)) (cbrt (pow (cos x) 2))) (/ (fabs (sin x)) (fabs (cos x))) (/ (fabs (sin x)) (fabs (cos x))) (fabs (sin x)) (/ (fabs (sin x)) (pow (cos x) 2)) (/ (fabs (sin x)) (cos x)) (/ (fabs (sin x)) (cos x)) (/ 1 (pow (cbrt (cos x)) 4)) (/ (pow (sin x) 2) (pow (cbrt (cos x)) 2)) (/ 1 (cos x)) (/ (pow (sin x) 2) (cos x)) 1 (/ (pow (sin x) 2) (pow (cos x) 2)) (/ 1 (cos x)) (/ (pow (sin x) 2) (cos x)) (/ 1 (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (pow (sin x) 2) (cbrt (pow (cos x) 2))) (/ 1 (fabs (cos x))) (/ (pow (sin x) 2) (sqrt (pow (cos x) 2))) 1 (/ (pow (sin x) 2) (pow (cos x) 2)) (/ 1 (cos x)) (/ (pow (sin x) 2) (cos x)) (/ (sin x) (pow (cbrt (cos x)) 4)) (/ (sin x) (pow (cbrt (cos x)) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (sin x) (/ (sin x) (pow (cos x) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (/ (sin x) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (sin x) (cbrt (pow (cos x) 2))) (/ (sin x) (fabs (cos x))) (/ (sin x) (fabs (cos x))) (sin x) (/ (sin x) (pow (cos x) 2)) (/ (sin x) (cos x)) (/ (sin x) (cos x)) (/ 1 (pow (cos x) 2)) (/ (pow (cos x) 2) (pow (sin x) 2)) (/ (sin x) (/ (pow (cbrt (cos x)) 4) (sin x))) (/ (pow (sin x) 2) (cos x)) (pow (sin x) 2) (/ (pow (sin x) 2) (cos x)) (/ (pow (sin x) 2) (* (cbrt (pow (cos x) 2)) (cbrt (pow (cos x) 2)))) (/ (pow (sin x) 2) (sqrt (pow (cos x) 2))) (pow (sin x) 2) (/ (pow (sin x) 2) (cos x)) (/ (pow (cos x) 2) (pow (cbrt (sin x)) 2)) (/ (pow (cos x) 2) (sin x)) (/ (pow (cos x) 2) (pow (sin x) 2)) (/ (pow (cos x) 2) (sin x)) (/ (pow (cos x) 2) (cbrt (pow (sin x) 2))) (/ (pow (cos x) 2) (fabs (sin x))) (/ (pow (cos x) 2) (pow (sin x) 2)) (/ (pow (cos x) 2) (sin x)) (- (+ (* 1/3 (pow x 4)) 1) (pow x 2)) (pow (cos x) 2) (pow (cos x) 2) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (pow (sin x) 2) (pow (sin x) 2) (+ (pow x 2) (+ (* 17/45 (pow x 6)) (* 2/3 (pow x 4)))) (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 2) (pow (cos x) 2)) 3.286 * * * [progress]: adding candidates to table 4.032 * [progress]: [Phase 3 of 3] Extracting. 4.032 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 4.035 * * * [regime-changes]: Trying 4 branch expressions: ((tan x) (* (tan x) (tan x)) (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) x) 4.035 * * * * [regimes]: Trying to branch on (tan x) from (# # # # # # # # # # # #) 4.106 * * * * [regimes]: Trying to branch on (* (tan x) (tan x)) from (# # # # # # # # # # # #) 4.173 * * * * [regimes]: Trying to branch on (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))) from (# # # # # # # # # # # #) 4.236 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 4.299 * * * [regime]: Found split indices: #