7.779 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying using # : (/ (- 1.0 (cos x)) (* x x)) 0.066 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.067 * * [simplify]: iteration 1 : 21 enodes (cost 4 ) 0.068 * * [simplify]: iteration 2 : 26 enodes (cost 4 ) 0.069 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.070 * * [simplify]: iteration 4 : 28 enodes (cost 4 ) 0.070 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.091 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.091 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (cos x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (cos x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.110 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.110 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.123 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.134 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.134 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (cos x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.144 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.153 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.157 * * * [progress]: simplifying candidates 0.157 * [simplify]: Simplifying using # : (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.161 * * [simplify]: iteration 0 : 221 enodes (cost 271 ) 0.164 * * [simplify]: iteration 1 : 735 enodes (cost 239 ) 0.175 * * [simplify]: iteration 2 : 2396 enodes (cost 239 ) 0.213 * * [simplify]: iteration 3 : 5002 enodes (cost 239 ) 0.215 * [simplify]: Simplified to: (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (pow (/ (- 1.0 (cos x)) (* x x)) 3) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (neg (- 1.0 (cos x))) (neg (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (pow x 2)) (* (* x x) (+ 1.0 (cos x))) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 0.215 * * * [progress]: adding candidates to table 0.333 * * [progress]: iteration 2 / 4 0.333 * * * [progress]: picking best candidate 0.357 * * * * [pick]: Picked # 0.357 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.373 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.378 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.384 * * * [progress]: generating series expansions 0.384 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.385 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.385 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.385 * [taylor]: Taking taylor expansion of 1/720 in x 0.385 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1/2 in x 0.385 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of 1/24 in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 1/720 (pow x 4)) 1/2) in x 0.385 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.385 * [taylor]: Taking taylor expansion of 1/720 in x 0.385 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1/2 in x 0.385 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of 1/24 in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.392 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.392 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.392 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.392 * [taylor]: Taking taylor expansion of 1/720 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 1/2 in x 0.393 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.393 * [taylor]: Taking taylor expansion of 1/24 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.393 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.394 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.394 * [taylor]: Taking taylor expansion of 1/720 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of 1/2 in x 0.394 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.394 * [taylor]: Taking taylor expansion of 1/24 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.410 * [approximate]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in (x) around 0 0.410 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.410 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.410 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.410 * [taylor]: Taking taylor expansion of 1/720 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of 1/2 in x 0.411 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.411 * [taylor]: Taking taylor expansion of 1/24 in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (- (+ (* 1/720 (/ 1 (pow x 4))) 1/2) (* 1/24 (/ 1 (pow x 2)))) in x 0.412 * [taylor]: Taking taylor expansion of (+ (* 1/720 (/ 1 (pow x 4))) 1/2) in x 0.412 * [taylor]: Taking taylor expansion of (* 1/720 (/ 1 (pow x 4))) in x 0.412 * [taylor]: Taking taylor expansion of 1/720 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of 1/2 in x 0.412 * [taylor]: Taking taylor expansion of (* 1/24 (/ 1 (pow x 2))) in x 0.412 * [taylor]: Taking taylor expansion of 1/24 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.433 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.433 * [approximate]: Taking taylor expansion of (* 1/24 (pow x 2)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of 1/24 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* 1/24 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of 1/24 in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.441 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of 1/24 in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of 1/24 in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.449 * [approximate]: Taking taylor expansion of (/ 1/24 (pow x 2)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of 1/24 in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ 1/24 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of 1/24 in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.458 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.458 * [approximate]: Taking taylor expansion of (* 1/720 (pow x 4)) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.458 * [taylor]: Taking taylor expansion of 1/720 in x 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* 1/720 (pow x 4)) in x 0.458 * [taylor]: Taking taylor expansion of 1/720 in x 0.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.470 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.470 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.470 * [taylor]: Taking taylor expansion of 1/720 in x 0.470 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.471 * [taylor]: Taking taylor expansion of 1/720 in x 0.471 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.483 * [approximate]: Taking taylor expansion of (/ 1/720 (pow x 4)) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.483 * [taylor]: Taking taylor expansion of 1/720 in x 0.483 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ 1/720 (pow x 4)) in x 0.483 * [taylor]: Taking taylor expansion of 1/720 in x 0.483 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.495 * * * [progress]: simplifying candidates 0.496 * [simplify]: Simplifying using # : (/ (* (exp (* 1/720 (pow x 4))) (exp 1/2)) (exp (* 1/24 (pow x 2)))) (/ (exp (+ (* 1/720 (pow x 4)) 1/2)) (exp (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (* (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (+ (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (neg (* 1/24 (pow x 2))) (- (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2)) (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2)))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (neg (* 1/24 (pow x 2))) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (* (log x) 2)) (+ (log 1/24) (log (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* (* (* 1/24 1/24) 1/24) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* (* (* 1/24 (pow x 2)) (* 1/24 (pow x 2))) (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) (pow (sqrt x) 2)) (* (sqrt 1/24) x) (* (sqrt 1/24) x) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* (sqrt 1/24) (pow x (/ 2 2))) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/24 (pow (sqrt x) 2)) (* 1/24 (pow 1 2)) (* 1/24 x) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (sqrt (pow x 2))) (* 1/24 1) (* 1/24 (pow x (/ 2 2))) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (* (log x) 4)) (+ (log 1/720) (log (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (* (* (* 1/720 1/720) 1/720) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (* (* (* 1/720 (pow x 4)) (* 1/720 (pow x 4))) (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (pow (sqrt x) 4)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x (/ 4 2))) (* (sqrt 1/720) (pow x (/ 4 2))) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow (sqrt x) 4)) (* 1/720 (pow 1 4)) (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) (* 1/720 1) (* 1/720 (pow x (/ 4 2))) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.500 * * [simplify]: iteration 0 : 268 enodes (cost 345 ) 0.506 * * [simplify]: iteration 1 : 1132 enodes (cost 313 ) 0.531 * * [simplify]: iteration 2 : 5001 enodes (cost 307 ) 0.533 * [simplify]: Simplified to: (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (log (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (exp (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))))) (cbrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (pow (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 3) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (sqrt (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (- (pow (+ (* 1/720 (pow x 4)) 1/2) 3) (pow (* 1/24 (pow x 2)) 3)) (+ (* (+ (* 1/720 (pow x 4)) 1/2) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2)))) (* (pow x 4) 1/576)) (* -1/24 (pow x 2)) (+ (* -1/576 (pow x 4)) (* (+ (* 1/720 (pow x 4)) 1/2) (+ (* 1/720 (pow x 4)) 1/2))) (+ (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- 1/2 (* 1/24 (pow x 2))) (* -1/24 (pow x 2)) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (log (* 1/24 (pow x 2))) (exp (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (* (cbrt (* 1/24 (pow x 2))) (cbrt (* 1/24 (pow x 2)))) (cbrt (* 1/24 (pow x 2))) (* 1/13824 (pow x 6)) (sqrt (* 1/24 (pow x 2))) (sqrt (* 1/24 (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* (sqrt 1/24) (sqrt (pow x 2))) (* (sqrt 1/24) (sqrt (pow x 2))) (* x (sqrt 1/24)) (* x (sqrt 1/24)) (* 1/24 (pow (* (cbrt x) (cbrt x)) 2)) (* x 1/24) 1/24 (* x 1/24) (* 1/24 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/24 (fabs x)) 1/24 (* x 1/24) (* (cbrt 1/24) (pow x 2)) (* (sqrt 1/24) (pow x 2)) (* 1/24 (pow x 2)) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (log (* 1/720 (pow x 4))) (exp (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (* (cbrt (* 1/720 (pow x 4))) (cbrt (* 1/720 (pow x 4)))) (cbrt (* 1/720 (pow x 4))) (pow (* 1/720 (pow x 4)) 3) (sqrt (* 1/720 (pow x 4))) (sqrt (* 1/720 (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (sqrt (pow x 4))) (* (sqrt 1/720) (pow x 2)) (* (sqrt 1/720) (pow x 2)) (* 1/720 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/720 (pow x 2)) 1/720 (* 1/720 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/720 (sqrt (pow x 4))) 1/720 (* 1/720 (pow x 2)) (* (cbrt 1/720) (pow x 4)) (* (sqrt 1/720) (pow x 4)) (* 1/720 (pow x 4)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/24 (pow x 2)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) (* 1/720 (pow x 4)) 0.534 * * * [progress]: adding candidates to table 0.691 * * [progress]: iteration 3 / 4 0.691 * * * [progress]: picking best candidate 0.713 * * * * [pick]: Picked # 0.713 * * * [progress]: localizing error 0.721 * * * [progress]: generating rewritten candidates 0.721 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.734 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.745 * * * [progress]: generating series expansions 0.745 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.745 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (cos x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [taylor]: Taking taylor expansion of (cos x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.756 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.760 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.760 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.760 * [taylor]: Taking taylor expansion of -1 in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.761 * [taylor]: Taking taylor expansion of 1.0 in x 0.761 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.764 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.764 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 0.764 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (cos x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (cos x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.774 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 0.775 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.778 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 0.778 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.778 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.779 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.779 * [taylor]: Taking taylor expansion of -1 in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.786 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.787 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.787 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.787 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (cos x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.791 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (cos x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.838 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.838 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.838 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.838 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.839 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.854 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.854 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.854 * [taylor]: Taking taylor expansion of -1 in x 0.854 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.854 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.854 * [taylor]: Taking taylor expansion of -1 in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.855 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.855 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.879 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.879 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 0.879 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (cos x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 0.883 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (cos x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.930 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 0.930 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.930 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 0.931 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.946 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.946 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- 1.0 (cos (/ -1 x)))) x)) in x 0.947 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.947 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.971 * * * [progress]: simplifying candidates 0.973 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (- (log (sqrt (- 1.0 (cos x)))) (log x)) (log (/ (sqrt (- 1.0 (cos x))) x)) (exp (/ (sqrt (- 1.0 (cos x))) x)) (/ (* (* (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (cbrt (/ (sqrt (- 1.0 (cos x))) x))) (cbrt (/ (sqrt (- 1.0 (cos x))) x)) (* (* (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x)) (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (sqrt (/ (sqrt (- 1.0 (cos x))) x)) (neg (sqrt (- 1.0 (cos x)))) (neg x) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (cos x)))) (cbrt (sqrt (- 1.0 (cos x))))) 1) (/ (cbrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x))))) 1) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) 1) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ (sqrt 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(cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) 1) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* (sqrt (- 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x)) (/ (fabs (cbrt (- 1.0 (cos x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (cos x)))) (pow x 1/2)) (fabs (cbrt (- 1.0 (cos x)))) (/ (sqrt (cbrt (- 1.0 (cos x)))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (sqrt x)) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) (pow x 1/2)) (sqrt (+ (sqrt 1.0) (sqrt (cos x)))) (/ (sqrt (- (sqrt 1.0) (sqrt (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (sqrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (cos x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (cos x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (cos x)))) (/ (sqrt (sqrt (- 1.0 (cos x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (cos x)))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ x (cbrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (cbrt (- 1.0 (cos x))))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (- (sqrt 1.0) (sqrt (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (sqrt (sqrt (- 1.0 (cos x))))) (/ x (sqrt (- 1.0 (cos x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))))) (* x (sqrt (+ 1.0 (cos x)))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (- (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/2304 (/ (pow x 4) (sqrt 1/2)))) (* 1/48 (/ (pow x 2) (sqrt 1/2)))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) 1.070 * * * [progress]: adding candidates to table 1.396 * * [progress]: iteration 4 / 4 1.396 * * * [progress]: picking best candidate 1.422 * * * * [pick]: Picked # 1.423 * * * [progress]: localizing error 1.438 * * * [progress]: generating rewritten candidates 1.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 1.442 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.446 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.450 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.457 * * * [progress]: generating series expansions 1.457 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 1.457 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (cos x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.457 * [taylor]: Taking taylor expansion of 1.0 in x 1.457 * [taylor]: Taking taylor expansion of (cos x) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.468 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.468 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.472 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.472 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.472 * [taylor]: Taking taylor expansion of 1.0 in x 1.472 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.472 * [taylor]: Taking taylor expansion of -1 in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.473 * [taylor]: Taking taylor expansion of 1.0 in x 1.473 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.473 * [taylor]: Taking taylor expansion of -1 in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.476 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.476 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [taylor]: Taking taylor expansion of (cos x) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [taylor]: Taking taylor expansion of (cos x) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.486 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.486 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.490 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.490 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.490 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.490 * [taylor]: Taking taylor expansion of -1 in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.491 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.491 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.491 * [taylor]: Taking taylor expansion of -1 in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.494 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.494 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos x)) 3) in (x) around 0 1.494 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 3) in x 1.494 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [taylor]: Taking taylor expansion of (cos x) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos x)) 3) in x 1.496 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (cos x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.518 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 3) in (x) around 0 1.518 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 3) in x 1.518 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.518 * [taylor]: Taking taylor expansion of 1.0 in x 1.518 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ 1 x))) 3) in x 1.519 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.531 * [approximate]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 3) in (x) around 0 1.531 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 3) in x 1.531 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.531 * [taylor]: Taking taylor expansion of -1 in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (pow (- 1.0 (cos (/ -1 x))) 3) in x 1.531 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.531 * [taylor]: Taking taylor expansion of -1 in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.543 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.544 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.544 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (cos x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.544 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (cos x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.554 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.554 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.555 * [taylor]: Taking taylor expansion of 1.0 in x 1.555 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.558 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.558 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.558 * [taylor]: Taking taylor expansion of 1.0 in x 1.558 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.558 * [taylor]: Taking taylor expansion of -1 in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.559 * [taylor]: Taking taylor expansion of 1.0 in x 1.559 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.562 * * * [progress]: simplifying candidates 1.563 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (* (log (- 1.0 (cos x))) 3) (* (log (- 1.0 (cos x))) 3) (* 1 3) (pow (- 1.0 (cos x)) (* (cbrt 3) (cbrt 3))) (pow (- 1.0 (cos x)) (sqrt 3)) (pow (- 1.0 (cos x)) 1) (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3) (pow (cbrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (log (pow (- 1.0 (cos x)) 3)) (exp (pow (- 1.0 (cos x)) 3)) (* (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (- 1.0 (cos x)) 3)) (* (* (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) 3)) (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3) (pow (cbrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow (sqrt (- 1.0 (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) (pow 1 3) (pow (- 1.0 (cos x)) 3) (pow (- (pow 1.0 3) (pow (cos x) 3)) 3) (pow (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) 3) (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3) (pow (+ 1.0 (cos x)) 3) (* (- 1.0 (cos x)) (- 1.0 (cos x))) (sqrt (pow (- 1.0 (cos x)) 3)) (sqrt (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) (/ 3 2)) (pow (- 1.0 (cos x)) (/ 3 2)) (log (cbrt (pow (- 1.0 (cos x)) 3))) (exp (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3)) (cbrt (pow (cbrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (cbrt (* (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 3)) (cbrt (pow (cbrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow (sqrt (- 1.0 (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (+ (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow (- (sqrt 1.0) (sqrt (cos x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) (cbrt 1) (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) (/ 3 2))) (cbrt (pow (- 1.0 (cos x)) (/ 3 2))) (cbrt (pow (- (pow 1.0 3) (pow (cos x) 3)) 3)) (cbrt (pow (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) 3)) (cbrt (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3)) (cbrt (pow (+ 1.0 (cos x)) 3)) (* (cbrt (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (cbrt (pow (- 1.0 (cos x)) 3)))) (cbrt (cbrt (pow (- 1.0 (cos x)) 3))) (* (* (cbrt (pow (- 1.0 (cos x)) 3)) (cbrt (pow (- 1.0 (cos x)) 3))) (cbrt (pow (- 1.0 (cos x)) 3))) (sqrt (cbrt (pow (- 1.0 (cos x)) 3))) (sqrt (cbrt (pow (- 1.0 (cos x)) 3))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/8 (pow x 6)) (* 7/1920 (pow x 10))) (* 1/32 (pow x 8))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 3) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.568 * * [simplify]: iteration 0 : 235 enodes (cost 459 ) 1.572 * * [simplify]: iteration 1 : 895 enodes (cost 444 ) 1.593 * * [simplify]: iteration 2 : 5002 enodes (cost 438 ) 1.596 * [simplify]: Simplified to: (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (neg (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (neg (cos x)) (log (pow (- 1.0 (cos x)) 3)) (log (pow (- 1.0 (cos x)) 3)) 3 (pow (- 1.0 (cos x)) (* (cbrt 3) (cbrt 3))) (pow (- 1.0 (cos x)) (sqrt 3)) (- 1.0 (cos x)) (pow (- 1.0 (cos x)) 2) (- 1.0 (cos x)) (pow (- 1.0 (cos x)) 3/2) (pow (- 1.0 (cos x)) 3/2) 1 (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) 1 (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 2) (log (pow (- 1.0 (cos x)) 3)) (exp (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) 2) (- 1.0 (cos x)) (pow (pow (- 1.0 (cos x)) 3) 3) (pow (- 1.0 (cos x)) 2) (- 1.0 (cos x)) (pow (- 1.0 (cos x)) 3/2) (pow (- 1.0 (cos x)) 3/2) 1 (pow (- 1.0 (cos x)) 3) (pow (+ (sqrt 1.0) (sqrt (cos x))) 3) (pow (- (sqrt 1.0) (sqrt (cos x))) 3) 1 (pow (- 1.0 (cos x)) 3) (pow (- (pow 1.0 3) (pow (cos x) 3)) 3) (pow (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) 3) (pow (- (* 1.0 1.0) (* (cos x) (cos x))) 3) (pow (+ 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 2) (sqrt (pow (- 1.0 (cos x)) 3)) (sqrt (pow (- 1.0 (cos x)) 3)) (pow (- 1.0 (cos x)) 3/2) (pow (- 1.0 (cos x)) 3/2) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) 1 (- 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) 1 (- 1.0 (cos x)) (cbrt (- 1.0 (cos x))) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) (cbrt (sqrt (pow (- 1.0 (cos x)) 3))) 1 (- 1.0 (cos x)) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* (cos x) (+ (cos x) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (cbrt (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (pow (- 1.0 (cos x)) 3) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/8 (pow x 6)) (* 7/1920 (pow x 10))) (* 1/32 (pow x 8))) (pow (- 1.0 (cos x)) 3) (pow (- 1.0 (cos x)) 3) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.597 * * * [progress]: adding candidates to table 1.819 * [progress]: [Phase 3 of 3] Extracting. 1.819 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.822 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- 1.0 (cos x)) (* x x)) x) 1.822 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# # # # # # # # # # #) 1.884 * * * * [regimes]: Trying to branch on (/ (- 1.0 (cos x)) (* x x)) from (# #) 1.911 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.985 * * * [regime]: Found split indices: #