4.828 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0))) 0.021 * * [simplify]: iteration 0 : 12 enodes (cost 5 ) 0.022 * * [simplify]: iteration 1 : 15 enodes (cost 5 ) 0.023 * * [simplify]: iteration 2 : 15 enodes (cost 5 ) 0.023 * [simplify]: Simplified to: (- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.040 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 (- x 1.0)))) in (x) around 0 0.044 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 (- x 1.0)))) in x 0.044 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- x 1.0))) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (- x 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 (- x 1.0)))) in x 0.046 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- x 1.0))) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (- x 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (- (/ 1 x) 1.0)))) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (- (/ 1 x) 1.0)))) in x 0.095 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- (/ 1 x) 1.0))) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) 1.0)) in x 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (- (/ 1 x) 1.0)))) in x 0.097 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- (/ 1 x) 1.0))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (- 1.0 (/ 1 x))))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (- 1.0 (/ 1 x))))) in x 0.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 (/ 1 (- 1.0 (/ 1 x))))) in x 0.159 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.224 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.224 * [approximate]: Taking taylor expansion of (/ 1.0 (- x 1.0)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (/ 1.0 (- x 1.0)) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1.0 (- x 1.0)) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 x) 1.0)) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 x) 1.0)) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 x) 1.0)) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [approximate]: Taking taylor expansion of (/ -1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (/ -1.0 (+ 1.0 (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of -1.0 in x 0.244 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (/ -1.0 (+ 1.0 (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of -1.0 in x 0.245 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.257 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.257 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.272 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.282 * * * [progress]: simplifying candidates 0.283 * [simplify]: Simplifying using # : (- (* 1.0 (- x 1.0)) (* (+ x 1.0) 1.0)) (* (+ x 1.0) (- x 1.0)) (- (* 1.0 (- (- x 1.0))) (* (+ x 1.0) (- 1.0))) (* (+ x 1.0) (- (- x 1.0))) (- (* 1.0 (/ (- x 1.0) 1.0)) (* (+ x 1.0) 1)) (* (+ x 1.0) (/ (- x 1.0) 1.0)) (- (* (- 1.0) (- x 1.0)) (* (- (+ x 1.0)) 1.0)) (* (- (+ x 1.0)) (- x 1.0)) (- (* (- 1.0) (- (- x 1.0))) (* (- (+ x 1.0)) (- 1.0))) (* (- (+ x 1.0)) (- (- x 1.0))) (- (* (- 1.0) (/ (- x 1.0) 1.0)) (* (- (+ x 1.0)) 1)) (* (- (+ x 1.0)) (/ (- x 1.0) 1.0)) (- (* 1 (- x 1.0)) (* (/ (+ x 1.0) 1.0) 1.0)) (* (/ (+ x 1.0) 1.0) (- x 1.0)) (- (* 1 (- (- x 1.0))) (* (/ (+ x 1.0) 1.0) (- 1.0))) (* (/ (+ x 1.0) 1.0) (- (- x 1.0))) (- (* 1 (/ (- x 1.0) 1.0)) (* (/ (+ x 1.0) 1.0) 1)) (* (/ (+ x 1.0) 1.0) (/ (- x 1.0) 1.0)) (- (pow (/ 1.0 (+ x 1.0)) 3) (pow (/ 1.0 (- x 1.0)) 3)) (+ (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (+ (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))) (* (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0))))) (- (/ 1.0 (- x 1.0))) (- (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))) (+ (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0))) (- (/ 1 (+ x 1.0)) (/ 1 (- x 1.0))) (- (- x 1.0) (+ x 1.0)) (- (/ 1.0 (- x 1.0))) (- 1.0) (- (- x 1.0)) (/ 1 (- x 1.0)) (/ (- x 1.0) 1.0) (/ 1.0 (- (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0) (- (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ (* 2.0 (pow x 2)) (+ (* 2.0 (pow x 4)) 2.0)) (- (+ (* 2.0 (/ 1 (pow x 6))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2.0 (/ 1 (pow x 4)))))) (- (+ (* 2.0 (/ 1 (pow x 6))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2.0 (/ 1 (pow x 4)))))) (- (+ (* 1.0 (pow x 2)) (+ (* 1.0 x) 1.0))) (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))) (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.287 * * [simplify]: iteration 0 : 295 enodes (cost 261 ) 0.293 * * [simplify]: iteration 1 : 1107 enodes (cost 229 ) 0.318 * * [simplify]: iteration 2 : 5002 enodes (cost 220 ) 0.319 * [simplify]: Simplified to: (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)) (* (- 1.0) (- (- x 1.0) (+ x 1.0))) (* (- (+ x 1.0)) (- x 1.0)) (- (- x 1.0) (+ x 1.0)) (* (+ x 1.0) (/ (- x 1.0) 1.0)) (* (- 1.0) (- (- x 1.0) (+ x 1.0))) (* (- (+ x 1.0)) (- x 1.0)) (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)) (+ (- (- x 1.0)) (+ x 1.0)) (* (- (+ x 1.0)) (/ (- x 1.0) 1.0)) (- (- x 1.0) (+ x 1.0)) (* (+ x 1.0) (/ (- x 1.0) 1.0)) (+ (- (- x 1.0)) (+ x 1.0)) (* (- (+ x 1.0)) (/ (- x 1.0) 1.0)) (- (/ x 1.0) (+ 1 (/ (+ x 1.0) 1.0))) (* (/ (+ x 1.0) 1.0) (/ (- x 1.0) 1.0)) (- (pow (/ 1.0 (+ x 1.0)) 3) (pow (/ 1.0 (- x 1.0)) 3)) (+ (* (/ 1.0 (- x 1.0)) (+ (/ 1.0 (- x 1.0)) (/ 1.0 (+ x 1.0)))) (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)))) (- (/ 1.0 (- x 1.0))) (* 1.0 (- (/ (/ 1.0 (+ x 1.0)) (+ x 1.0)) (/ (/ 1.0 (- x 1.0)) (- x 1.0)))) (+ (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0))) (- (/ 1 (+ x 1.0)) (/ 1 (- x 1.0))) (- (- x 1.0) (+ x 1.0)) (- (/ 1.0 (- x 1.0))) (- 1.0) (- (- x 1.0)) (/ 1 (- x 1.0)) (/ (- x 1.0) 1.0) (/ 1.0 (- (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0) (- (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ 2.0 (* 2.0 (+ (pow x 2) (pow x 4)))) (- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (- (/ (- 2.0) (pow x 6)) (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (- (+ (* 1.0 (+ (pow x 2) x)) 1.0)) (* 1.0 (+ (/ 1 (pow x 2)) (+ (/ 1 x) (/ 1 (pow x 3))))) (* 1.0 (+ (/ 1 (pow x 2)) (+ (/ 1 x) (/ 1 (pow x 3))))) (* 1.0 (- (+ (pow x 2) 1) x)) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) 0.319 * * * [progress]: adding candidates to table 0.380 * * [progress]: iteration 2 / 4 0.380 * * * [progress]: picking best candidate 0.386 * * * * [pick]: Picked # 0.386 * * * [progress]: localizing error 0.395 * * * [progress]: generating rewritten candidates 0.395 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.399 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.407 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.412 * * * [progress]: generating series expansions 0.412 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.412 * [approximate]: Taking taylor expansion of (- 2.0) in (x) around 0 0.412 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.412 * [taylor]: Taking taylor expansion of 2.0 in x 0.412 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.412 * [taylor]: Taking taylor expansion of 2.0 in x 0.415 * [approximate]: Taking taylor expansion of (- 2.0) in (x) around 0 0.415 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.415 * [taylor]: Taking taylor expansion of 2.0 in x 0.415 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.415 * [taylor]: Taking taylor expansion of 2.0 in x 0.417 * [approximate]: Taking taylor expansion of (- 2.0) in (x) around 0 0.417 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.417 * [taylor]: Taking taylor expansion of 2.0 in x 0.417 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.417 * [taylor]: Taking taylor expansion of 2.0 in x 0.419 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.419 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow x 2) 1.0)) in (x) around 0 0.419 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow x 2) 1.0)) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow x 2) 1.0)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.468 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.468 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * * * [progress]: simplifying candidates 0.525 * [simplify]: Simplifying using # : (- (* (- (pow x 3) (pow 1.0 3)) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (+ (pow x 3) (pow 1.0 3)))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- (* (- (pow x 3) (pow 1.0 3)) (- x 1.0)) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (- (* x x) (* 1.0 1.0)))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (- x 1.0)) (- (* (- (* x x) (* 1.0 1.0)) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3)))) (* (+ x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- (* (- (* x x) (* 1.0 1.0)) (- x 1.0)) (* (+ x 1.0) (- (* x x) (* 1.0 1.0)))) (* (+ x 1.0) (- x 1.0)) (- (pow (- x 1.0) 3) (pow (+ x 1.0) 3)) (+ (* (- x 1.0) (- x 1.0)) (+ (* (+ x 1.0) (+ x 1.0)) (* (- x 1.0) (+ x 1.0)))) (- (+ x 1.0)) (- (* (- x 1.0) (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (+ (- x 1.0) (+ x 1.0)) (- (- x 1.0) x) (- (- x 1.0) 1.0) (- (- 1.0) (+ x 1.0)) (- (- 1.0) (+ x 1.0)) (+ 1.0 (+ x 1.0)) (- (+ x 1.0)) (- 1.0) (- (- (* x x) (* 1.0 1.0))) (/ 1 (- (* x x) (* 1.0 1.0))) (/ (- (* x x) (* 1.0 1.0)) 1.0) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (- (pow (* x x) 3) (pow (* 1.0 1.0) 3))) (/ 1.0 (- (* (* x x) (* x x)) (* (* 1.0 1.0) (* 1.0 1.0)))) (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0)))) (- (* 1.0 1.0)) (- (* (* x x) (* x x)) (* (* 1.0 1.0) (* 1.0 1.0))) (+ (* x x) (* 1.0 1.0)) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (- (* 1.0 1.0)) (- 2.0) (- 2.0) (- 2.0) (- (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 4)) 1.0))) (+ (* 1.0 (/ 1 (pow x 6))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (+ (* 1.0 (/ 1 (pow x 6))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.529 * * [simplify]: iteration 0 : 284 enodes (cost 231 ) 0.535 * * [simplify]: iteration 1 : 1302 enodes (cost 220 ) 0.558 * * [simplify]: iteration 2 : 5001 enodes (cost 213 ) 0.559 * [simplify]: Simplified to: (+ (* (- (+ (* 1.0 (+ 1.0 x)) (pow x 2))) (+ (pow x 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- (pow x 3) (pow 1.0 3)))) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (+ (* 1.0 (+ 1.0 x)) (pow x 2))) (* (- x 1.0) (- (- (pow x 3) (pow 1.0 3)) (* (+ x 1.0) (+ (* 1.0 (+ 1.0 x)) (pow x 2))))) (* (- x 1.0) (+ (* 1.0 (+ 1.0 x)) (pow x 2))) (* (+ x 1.0) (- (* (- x 1.0) (+ (* 1.0 (- 1.0 x)) (pow x 2))) (+ (pow x 3) (pow 1.0 3)))) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)) (- (pow (- x 1.0) 3) (pow (+ x 1.0) 3)) (+ (* (+ x 1.0) (+ (+ x 1.0) (- x 1.0))) (* (- x 1.0) (- x 1.0))) (- (+ x 1.0)) (- (* (- x 1.0) (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (+ (- x 1.0) (+ x 1.0)) (- (- x 1.0) x) (- (- x 1.0) 1.0) (- (- 1.0) (+ x 1.0)) (- (- 1.0) (+ x 1.0)) (+ 1.0 (+ x 1.0)) (- (+ x 1.0)) (- 1.0) (- (- (* x x) (* 1.0 1.0))) (/ 1 (- (* x x) (* 1.0 1.0))) (/ (- (* x x) (* 1.0 1.0)) 1.0) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (- (pow (* x x) 3) (pow (* 1.0 1.0) 3))) (/ 1.0 (- (* (* x x) (* x x)) (* (* 1.0 1.0) (* 1.0 1.0)))) (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) (+ (+ (pow x 4) (* (* x x) (* 1.0 1.0))) (pow 1.0 4)) (- (* 1.0 1.0)) (+ (- (* (pow 1.0 3) 1.0)) (pow x 4)) (+ (* x x) (* 1.0 1.0)) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (- (* 1.0 1.0)) (- 2.0) (- 2.0) (- 2.0) (- (+ (* 1.0 (+ (pow x 2) (pow x 4))) 1.0)) (* 1.0 (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.560 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 3 / 4 0.625 * * * [progress]: picking best candidate 0.629 * * * * [pick]: Picked # 0.629 * * * [progress]: localizing error 0.636 * * * [progress]: generating rewritten candidates 0.636 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.641 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.648 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.838 * * * [progress]: generating series expansions 0.838 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.839 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow x 2) 1.0)) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow x 2) 1.0)) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow x 2) 1.0)) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.889 * [approximate]: Taking taylor expansion of (/ -2.0 (- (pow x 2) 1.0)) in (x) around 0 0.889 * [taylor]: Taking taylor expansion of (/ -2.0 (- (pow x 2) 1.0)) in x 0.889 * [taylor]: Taking taylor expansion of -2.0 in x 0.889 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (/ -2.0 (- (pow x 2) 1.0)) in x 0.890 * [taylor]: Taking taylor expansion of -2.0 in x 0.890 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [approximate]: Taking taylor expansion of (/ -2.0 (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (/ -2.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of -2.0 in x 0.904 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (/ -2.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.905 * [taylor]: Taking taylor expansion of -2.0 in x 0.905 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [approximate]: Taking taylor expansion of (/ -2.0 (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.926 * [taylor]: Taking taylor expansion of (/ -2.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.926 * [taylor]: Taking taylor expansion of -2.0 in x 0.926 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (/ -2.0 (- (/ 1 (pow x 2)) 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of -2.0 in x 0.928 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.944 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.945 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.970 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.970 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * * * [progress]: simplifying candidates 0.986 * [simplify]: Simplifying using # : (- 1.0) (- (- (* x x) (* 1.0 1.0))) (/ 1 (- (* x x) (* 1.0 1.0))) (/ (- (* x x) (* 1.0 1.0)) 1.0) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (- (pow (* x x) 3) (pow (* 1.0 1.0) 3))) (/ 1.0 (- (* (* x x) (* x x)) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (/ 1.0 (- (* x x) (* 1.0 1.0))) 2.0) (* (/ 1.0 (- (* x x) (* 1.0 1.0))) -1) (* (/ 1 (- (* x x) (* 1.0 1.0))) (- 2.0)) (* (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0)))) (- 2.0)) (* (+ (* x x) (* 1.0 1.0)) (- 2.0)) (* 1.0 (- 2.0)) (* (- 1.0) (- 2.0)) (* 1 (- 2.0)) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) (+ (* (* x x) (* x x)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* 1.0 1.0)))) (- (* 1.0 1.0)) (- (* (* x x) (* x x)) (* (* 1.0 1.0) (* 1.0 1.0))) (+ (* x x) (* 1.0 1.0)) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (- (* 1.0 1.0)) (- (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 4)) 1.0))) (+ (* 1.0 (/ 1 (pow x 6))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (+ (* 1.0 (/ 1 (pow x 6))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (+ (* 2.0 (pow x 2)) (+ (* 2.0 (pow x 4)) 2.0)) (- (+ (* 2.0 (/ 1 (pow x 6))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2.0 (/ 1 (pow x 4)))))) (- (+ (* 2.0 (/ 1 (pow x 6))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2.0 (/ 1 (pow x 4)))))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.990 * * [simplify]: iteration 0 : 197 enodes (cost 187 ) 0.994 * * [simplify]: iteration 1 : 750 enodes (cost 176 ) 1.011 * * [simplify]: iteration 2 : 4025 enodes (cost 167 ) 1.116 * * [simplify]: iteration 3 : 5002 enodes (cost 166 ) 1.118 * [simplify]: Simplified to: (- 1.0) (- (- (* x x) (* 1.0 1.0))) (/ 1 (- (* x x) (* 1.0 1.0))) (- (/ (pow x 2) 1.0) 1.0) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ 1.0 (- (pow (* x x) 3) (pow (* 1.0 1.0) 3))) (/ 1.0 (+ (* (- 1.0) (pow 1.0 3)) (pow x 4))) (* (/ 1.0 (- (* x x) (* 1.0 1.0))) 2.0) (* (/ 1.0 (- (* x x) (* 1.0 1.0))) -1) (/ (- 2.0) (- (* x x) (* 1.0 1.0))) (* (- 2.0) (+ (* (pow x 2) (+ (* x x) (* 1.0 1.0))) (pow 1.0 4))) (* (+ (* x x) (* 1.0 1.0)) (- 2.0)) (* 1.0 (- 2.0)) (* 1.0 2.0) (- 2.0) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- (pow (* x x) 3) (pow (* 1.0 1.0) 3)) (+ (* (pow x 2) (+ (* x x) (* 1.0 1.0))) (pow 1.0 4)) (- (* 1.0 1.0)) (+ (* (- 1.0) (pow 1.0 3)) (pow x 4)) (+ (* x x) (* 1.0 1.0)) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (+ x 1.0) (- x 1.0) (- (* 1.0 1.0)) (- (+ (* 1.0 (+ (pow x 2) (pow x 4))) 1.0)) (* 1.0 (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (* 1.0 (+ (/ 1 (pow x 6)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) (+ 2.0 (* 2.0 (+ (pow x 2) (pow x 4)))) (- (- (/ (- 2.0) (pow x 6)) (/ 2.0 (pow x 2))) (/ 2.0 (pow x 4))) (- (- (/ (- 2.0) (pow x 6)) (/ 2.0 (pow x 2))) (/ 2.0 (pow x 4))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 1.118 * * * [progress]: adding candidates to table 1.182 * * [progress]: iteration 4 / 4 1.182 * * * [progress]: picking best candidate 1.188 * * * * [pick]: Picked # 1.188 * * * [progress]: localizing error 1.195 * * * [progress]: generating rewritten candidates 1.195 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.203 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 1.206 * * * [progress]: generating series expansions 1.206 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.207 * [approximate]: Taking taylor expansion of (/ -2.0 (* (- x 1.0) (+ x 1.0))) in (x) around 0 1.207 * [taylor]: Taking taylor expansion of (/ -2.0 (* (- x 1.0) (+ x 1.0))) in x 1.207 * [taylor]: Taking taylor expansion of -2.0 in x 1.207 * [taylor]: Taking taylor expansion of (* (- x 1.0) (+ x 1.0)) in x 1.207 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (/ -2.0 (* (- x 1.0) (+ x 1.0))) in x 1.209 * [taylor]: Taking taylor expansion of -2.0 in x 1.209 * [taylor]: Taking taylor expansion of (* (- x 1.0) (+ x 1.0)) in x 1.209 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [approximate]: Taking taylor expansion of (/ -2.0 (* (- (/ 1 x) 1.0) (+ 1.0 (/ 1 x)))) in (x) around 0 1.224 * [taylor]: Taking taylor expansion of (/ -2.0 (* (- (/ 1 x) 1.0) (+ 1.0 (/ 1 x)))) in x 1.224 * [taylor]: Taking taylor expansion of -2.0 in x 1.224 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (+ 1.0 (/ 1 x))) in x 1.224 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.225 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (/ -2.0 (* (- (/ 1 x) 1.0) (+ 1.0 (/ 1 x)))) in x 1.226 * [taylor]: Taking taylor expansion of -2.0 in x 1.226 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (+ 1.0 (/ 1 x))) in x 1.226 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.249 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 1.249 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.249 * [taylor]: Taking taylor expansion of 2.0 in x 1.249 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.250 * [taylor]: Taking taylor expansion of 1.0 in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 1.254 * [taylor]: Taking taylor expansion of 2.0 in x 1.254 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 1.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.275 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 1.276 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 1.283 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.291 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 1.291 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.301 * * * [progress]: simplifying candidates 1.302 * [simplify]: Simplifying using # : (- (* (/ 1.0 (+ x 1.0)) (- 2.0))) (- (- x 1.0)) (/ 1 (- x 1.0)) (/ (- x 1.0) (* (/ 1.0 (+ x 1.0)) (- 2.0))) (/ (* (/ 1.0 (+ x 1.0)) 2.0) (- x 1.0)) (/ (- x 1.0) (- 2.0)) (/ (- x 1.0) 2.0) (/ (- x 1.0) (* (/ 1 (+ x 1.0)) (- 2.0))) (/ (- x 1.0) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- 2.0))) (/ (- x 1.0) (* (- x 1.0) (- 2.0))) (/ (- x 1.0) (/ 1.0 (+ x 1.0))) (/ (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- (pow x 3) (pow 1.0 3))) (/ (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (+ x 1.0)) (* (- x 1.0) (- (+ x 1.0))) (* (- x 1.0) (/ (+ x 1.0) 1.0)) (- 1.0) (- (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ (* 2.0 (pow x 2)) (+ (* 2.0 (pow x 4)) 2.0)) (- (+ (* 2.0 (/ 1 (pow x 6))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2.0 (/ 1 (pow x 4)))))) (- (+ (* 2.0 (/ 1 (pow x 6))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2.0 (/ 1 (pow x 4)))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 1.305 * * [simplify]: iteration 0 : 220 enodes (cost 146 ) 1.309 * * [simplify]: iteration 1 : 721 enodes (cost 130 ) 1.324 * * [simplify]: iteration 2 : 3982 enodes (cost 126 ) 1.427 * * [simplify]: iteration 3 : 5001 enodes (cost 126 ) 1.428 * [simplify]: Simplified to: (* (/ 1.0 (+ x 1.0)) 2.0) (- 1.0 x) (/ 1 (- x 1.0)) (/ (- x 1.0) (* (/ 1.0 (+ x 1.0)) (- 2.0))) (/ (* (/ 1.0 (+ x 1.0)) 2.0) (- x 1.0)) (/ (- x 1.0) (- 2.0)) (/ (- x 1.0) 2.0) (* (/ (- x 1.0) (- 2.0)) (+ x 1.0)) (/ (/ (- x 1.0) (- 2.0)) (+ (* 1.0 (- 1.0 x)) (pow x 2))) (/ 1 (- 2.0)) (/ (- x 1.0) (/ 1.0 (+ x 1.0))) (/ (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- (pow x 3) (pow 1.0 3))) (/ (* (/ 1.0 (+ x 1.0)) (- 2.0)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (+ x 1.0)) (* (- x 1.0) (- (+ x 1.0))) (/ (- x 1.0) (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ 2.0 (* 2.0 (+ (pow x 2) (pow x 4)))) (- (- (/ (- 2.0) (pow x 6)) (/ 2.0 (pow x 2))) (/ 2.0 (pow x 4))) (- (- (/ (- 2.0) (pow x 6)) (/ 2.0 (pow x 2))) (/ 2.0 (pow x 4))) (* 1.0 (- (+ (pow x 2) 1) x)) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) (* 1.0 (- (+ (/ 1 x) (/ 1 (pow x 3))) (/ 1 (pow x 2)))) 1.428 * * * [progress]: adding candidates to table 1.483 * [progress]: [Phase 3 of 3] Extracting. 1.483 * * [regime]: Finding splitpoints for: (# # # #) 1.484 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.484 * * * * [regimes]: Trying to branch on x from (# # # #) 1.500 * * * [regime]: Found split indices: #