16.561 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (/ (exp x) (- (exp x) 1.0)) 0.039 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.040 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.041 * * [simplify]: iteration 2 : 8 enodes (cost 4 ) 0.041 * [simplify]: Simplified to: (/ (exp x) (- (exp x) 1.0)) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.053 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.053 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (exp x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (exp x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.063 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.063 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of (exp x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (exp x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of (exp x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (exp x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.087 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.087 * [taylor]: Taking taylor expansion of -1 in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.088 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.088 * [taylor]: Taking taylor expansion of -1 in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * * * [progress]: simplifying candidates 0.094 * [simplify]: Simplifying using # : (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (- 1.0) (- (exp x)) (- (- (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (/ (- (exp x) 1.0) (exp x)) (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.097 * * [simplify]: iteration 0 : 83 enodes (cost 66 ) 0.099 * * [simplify]: iteration 1 : 182 enodes (cost 66 ) 0.102 * * [simplify]: iteration 2 : 483 enodes (cost 64 ) 0.111 * * [simplify]: iteration 3 : 1606 enodes (cost 63 ) 0.155 * * [simplify]: iteration 4 : 5002 enodes (cost 63 ) 0.155 * [simplify]: Simplified to: (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (- 1.0) (- (exp x)) (- 1.0 (exp x)) (/ 1 (- (exp x) 1.0)) (- 1 (/ 1.0 (exp x))) (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.155 * * * [progress]: adding candidates to table 0.185 * * [progress]: iteration 2 / 4 0.185 * * * [progress]: picking best candidate 0.188 * * * * [pick]: Picked # 0.188 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.199 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.205 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.214 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.214 * [taylor]: Taking taylor expansion of 1/6 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.214 * [taylor]: Taking taylor expansion of 1/6 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.219 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.219 * [taylor]: Taking taylor expansion of 1/6 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.220 * [taylor]: Taking taylor expansion of 1/6 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.223 * [taylor]: Taking taylor expansion of -1/6 in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.223 * [taylor]: Taking taylor expansion of -1/6 in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.227 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.227 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.227 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.227 * [taylor]: Taking taylor expansion of 1/6 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of 1/2 in x 0.227 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.227 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.227 * [taylor]: Taking taylor expansion of 1/6 in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of 1/6 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of 1/2 in x 0.248 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of 1/6 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.268 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of 1/2 in x 0.268 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of 1/6 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of 1/2 in x 0.269 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of 1/6 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.290 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.290 * [approximate]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.291 * [taylor]: Taking taylor expansion of (exp x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.291 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of 1/2 in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.291 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.291 * [taylor]: Taking taylor expansion of 1/6 in x 0.291 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.292 * [taylor]: Taking taylor expansion of (exp x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.292 * [taylor]: Taking taylor expansion of 1/6 in x 0.292 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.299 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in (x) around 0 0.299 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.299 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.299 * [taylor]: Taking taylor expansion of 1/2 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.300 * [taylor]: Taking taylor expansion of 1/6 in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.302 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.302 * [taylor]: Taking taylor expansion of 1/2 in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.303 * [taylor]: Taking taylor expansion of 1/6 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.315 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.315 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.316 * [taylor]: Taking taylor expansion of 1/2 in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.317 * [taylor]: Taking taylor expansion of 1/6 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.318 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.319 * [taylor]: Taking taylor expansion of 1/2 in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.320 * [taylor]: Taking taylor expansion of 1/6 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.330 * * * [progress]: simplifying candidates 0.330 * [simplify]: Simplifying using # : (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 2) (* x 1/6)) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* (* x 1/6) (pow x 2)) (* x (+ (* x 1/6) 1/2)) (* (pow x (/ 2 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (- (exp x)) (- (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)) (/ (exp x) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3))) (/ (exp x) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x))) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (- (+ (* 6 (/ (exp x) (pow x 3))) (* 18 (/ (exp x) (pow x 5)))) (* 18 (/ (exp x) (pow x 4)))) (- (+ (* 6 (/ (exp x) (pow x 3))) (* 18 (/ (exp x) (pow x 5)))) (* 18 (/ (exp x) (pow x 4)))) 0.333 * * [simplify]: iteration 0 : 161 enodes (cost 123 ) 0.337 * * [simplify]: iteration 1 : 590 enodes (cost 121 ) 0.351 * * [simplify]: iteration 2 : 2850 enodes (cost 121 ) 0.444 * * [simplify]: iteration 3 : 5001 enodes (cost 121 ) 0.445 * [simplify]: Simplified to: (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (+ (* x 1/6) 1/2) x) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) 1/4)) (- (exp x)) (- (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)) (/ (exp x) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3))) (/ (exp x) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x))) (* x 1/6) (* x 1/6) (* x 1/6) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ (* 18 (- (/ (exp x) (pow x 5)) (/ (exp x) (pow x 4)))) (* 6 (/ (exp x) (pow x 3)))) (+ (* 18 (- (/ (exp x) (pow x 5)) (/ (exp x) (pow x 4)))) (* 6 (/ (exp x) (pow x 3)))) 0.445 * * * [progress]: adding candidates to table 0.486 * * [progress]: iteration 3 / 4 0.486 * * * [progress]: picking best candidate 0.487 * * * * [pick]: Picked # 0.487 * * * [progress]: localizing error 0.493 * * * [progress]: generating rewritten candidates 0.493 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.495 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.499 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.503 * * * [progress]: generating series expansions 0.503 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.503 * [approximate]: Taking taylor expansion of (* 1/12 x) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.503 * [taylor]: Taking taylor expansion of 1/12 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.503 * [taylor]: Taking taylor expansion of 1/12 in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (/ 1/12 x) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.508 * [taylor]: Taking taylor expansion of 1/12 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.509 * [taylor]: Taking taylor expansion of 1/12 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.512 * [approximate]: Taking taylor expansion of (/ -1/12 x) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.512 * [taylor]: Taking taylor expansion of -1/12 in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.513 * [taylor]: Taking taylor expansion of -1/12 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.516 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.516 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in (x) around 0 0.516 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.516 * [taylor]: Taking taylor expansion of 1/12 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.517 * [taylor]: Taking taylor expansion of 1/12 in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.527 * [approximate]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of 1/12 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of 1/12 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.540 * [approximate]: Taking taylor expansion of (- (+ x (* 1/12 (/ 1 x)))) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (- (+ x (* 1/12 (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of 1/12 in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (- (+ x (* 1/12 (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of 1/12 in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.557 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.557 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x 0.557 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.557 * [taylor]: Taking taylor expansion of 1/12 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x 0.557 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.557 * [taylor]: Taking taylor expansion of 1/12 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of 1/2 in x 0.561 * [approximate]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) 1/2) in x 0.561 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of 1/12 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of 1/2 in x 0.561 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) 1/2) in x 0.561 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of 1/12 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of 1/2 in x 0.565 * [approximate]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of 1/2 in x 0.565 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of 1/12 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of 1/2 in x 0.566 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of 1/12 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.570 * * * [progress]: simplifying candidates 0.571 * [simplify]: Simplifying using # : (+ (pow (* 1/12 x) 3) (pow (/ 1 x) 3)) (+ (* (* 1/12 x) (* 1/12 x)) (- (* (/ 1 x) (/ 1 x)) (* (* 1/12 x) (/ 1 x)))) (- (* (* 1/12 x) (* 1/12 x)) (* (/ 1 x) (/ 1 x))) (- (* 1/12 x) (/ 1 x)) (+ (pow 1/2 3) (pow (+ (* 1/12 x) (/ 1 x)) 3)) (+ (* 1/2 1/2) (- (* (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x))) (* 1/2 (+ (* 1/12 x) (/ 1 x))))) (- (* 1/2 1/2) (* (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)))) (- 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (* 1/12 x)) (+ 1/2 (/ 1 x)) (* 1/12 x) (* 1/12 x) (* 1/12 x) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) 0.573 * * [simplify]: iteration 0 : 110 enodes (cost 80 ) 0.576 * * [simplify]: iteration 1 : 329 enodes (cost 79 ) 0.584 * * [simplify]: iteration 2 : 1598 enodes (cost 78 ) 0.625 * * [simplify]: iteration 3 : 5001 enodes (cost 75 ) 0.626 * [simplify]: Simplified to: (+ (pow (* 1/12 x) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1/144 (* x x)) 1/12)) (* x (- (* x 1/144) (pow (/ 1 x) 3))) (- (* 1/12 x) (/ 1 x)) (+ (pow 1/2 3) (pow (+ (* 1/12 x) (/ 1 x)) 3)) (+ (* (+ (* 1/12 x) (/ 1 x)) (- (+ (* 1/12 x) (/ 1 x)) 1/2)) (* 1/2 1/2)) (- (- 1/4 (+ 1/6 (* 1/144 (* x x)))) (/ (/ 1 x) x)) (- 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (* 1/12 x)) (+ 1/2 (/ 1 x)) (* 1/12 x) (* 1/12 x) (* 1/12 x) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) 0.626 * * * [progress]: adding candidates to table 0.644 * [progress]: [Phase 3 of 3] Extracting. 0.644 * * [regime]: Finding splitpoints for: (# # #) 0.645 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (/ (exp x) (- (exp x) 1.0)) x) 0.645 * * * * [regimes]: Trying to branch on (exp x) from (# # #) 0.657 * * * * [regimes]: Trying to branch on (/ (exp x) (- (exp x) 1.0)) from (# # #) 0.672 * * * * [regimes]: Trying to branch on x from (# # #) 0.683 * * * [regime]: Found split indices: #