9.710 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.026 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.027 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.028 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.041 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.041 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.042 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.044 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.045 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * * * [progress]: simplifying candidates 0.049 * [simplify]: Simplifying using # : (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (neg (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (neg (* x x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.053 * * [simplify]: iteration 0 : 172 enodes (cost 188 ) 0.056 * * [simplify]: iteration 1 : 581 enodes (cost 181 ) 0.067 * * [simplify]: iteration 2 : 2888 enodes (cost 178 ) 0.131 * * [simplify]: iteration 3 : 5001 enodes (cost 177 ) 0.132 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (exp (- 1.0 (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (pow (- 1.0 (* x x)) 3) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 (+ (pow x 2) 1.0)) (pow x 4)) (neg (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (neg (* x x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) 0.133 * * * [progress]: adding candidates to table 0.233 * * [progress]: iteration 2 / 4 0.233 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.246 * * * [progress]: generating rewritten candidates 0.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.253 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.260 * * * [progress]: generating series expansions 0.260 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.260 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.265 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.267 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.268 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.270 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.271 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in (x) around 0 0.271 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.271 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.271 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.274 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.275 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.276 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * * * [progress]: simplifying candidates 0.281 * [simplify]: Simplifying using # : (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (log (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log 1) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))))) (log (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt 1))) (log (exp (sqrt (+ (sqrt 1.0) x)))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp 1)) (log (log (exp (sqrt (- 1.0 (* x x)))))) (exp (log (exp (sqrt (- 1.0 (* x x)))))) (* (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (cbrt (log (exp (sqrt (- 1.0 (* x x))))))) (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (* (* (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (sqrt (sqrt (- 1.0 (* x x))))) (exp (sqrt 1)) (exp (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (sqrt (- 1.0 (* x x))))) (exp 1) (log (exp (sqrt (- 1.0 (* x x))))) (exp (exp (sqrt (- 1.0 (* x x))))) (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x)))))) (cbrt (exp (sqrt (- 1.0 (* x x))))) (* (* (exp (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x))))) (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (sqrt (- 1.0 (* x x))))) (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (neg (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (neg (* x x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) (- (+ (exp (sqrt 1.0)) (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 2)))) (+ (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 3))) (* 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))))) (exp (sqrt (- 1.0 (pow x 2)))) (exp (sqrt (- 1.0 (pow x 2)))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.285 * * [simplify]: iteration 0 : 251 enodes (cost 443 ) 0.289 * * [simplify]: iteration 1 : 855 enodes (cost 420 ) 0.304 * * [simplify]: iteration 2 : 4326 enodes (cost 407 ) 0.400 * * [simplify]: iteration 3 : 5001 enodes (cost 403 ) 0.403 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (* 2 (log (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) 0 (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- 1.0 (* x x)))) 1 (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (sqrt (sqrt (- 1.0 (* x x))))) E (exp (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (sqrt (- 1.0 (* x x))))) E (sqrt (- 1.0 (* x x))) (exp (exp (sqrt (- 1.0 (* x x))))) (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x)))))) (cbrt (exp (sqrt (- 1.0 (* x x))))) (pow (exp (sqrt (- 1.0 (* x x)))) 3) (sqrt (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (sqrt (- 1.0 (* x x))))) (exp (- 1.0 (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (pow (- 1.0 (* x x)) 3) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 (+ (pow x 2) 1.0)) (pow x 4)) (neg (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (neg (* x x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) (+ (exp (sqrt 1.0)) (+ (* (/ (pow x 4) (/ 1.0 (exp (sqrt 1.0)))) (- 1/8 (/ 1/8 (sqrt 1.0)))) (* -1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))))) (exp (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) 0.403 * * * [progress]: adding candidates to table 0.656 * * [progress]: iteration 3 / 4 0.656 * * * [progress]: picking best candidate 0.659 * * * * [pick]: Picked # 0.659 * * * [progress]: localizing error 0.665 * * * [progress]: generating rewritten candidates 0.665 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.670 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.674 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.677 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.682 * * * [progress]: generating series expansions 0.682 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.682 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in (x) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.684 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 0.685 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.687 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 0.687 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.690 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.690 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.690 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.692 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.693 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.695 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.695 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.696 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.698 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.698 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.699 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.699 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.702 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.702 * [taylor]: Taking taylor expansion of 1.0 in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.702 * [taylor]: Taking taylor expansion of 1.0 in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * * * [progress]: simplifying candidates 0.705 * [simplify]: Simplifying using # : (* (log (sqrt (- 1.0 (* x x)))) 3) (* (log (sqrt (- 1.0 (* x x)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (- 1.0 (* x x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (- 1.0 (* x x))) (sqrt 3)) (pow (sqrt (- 1.0 (* x x))) 1) (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3) (pow (cbrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow 1 3) (pow (sqrt (- 1.0 (* x x))) 3) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (log (pow (sqrt (- 1.0 (* x x))) 3)) (exp (pow (sqrt (- 1.0 (* x x))) 3)) (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (* (* (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) 3)) (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3) (pow (cbrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow 1 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 3) (pow (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) 3) (pow (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 3) (pow (sqrt (+ 1.0 (* x x))) 3) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (/ 3 2) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) (/ 3 2)) (pow (sqrt (- 1.0 (* x x))) (/ 3 2)) (log (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (exp (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3)) (cbrt (pow (cbrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3)) (cbrt (pow (sqrt (cbrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (+ (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (- (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 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(sqrt (neg 1)))))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.711 * * [simplify]: iteration 0 : 354 enodes (cost 655 ) 0.718 * * [simplify]: iteration 1 : 1386 enodes (cost 628 ) 0.744 * * [simplify]: iteration 2 : 5001 enodes (cost 606 ) 0.749 * [simplify]: Simplified to: (* (log (- 1.0 (* x x))) 3/2) (* (log (- 1.0 (* x x))) 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1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) 0.749 * * * [progress]: adding candidates to table 1.055 * [progress]: [Phase 3 of 3] Extracting. 1.055 * * [regime]: Finding splitpoints for: (# #) 1.055 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 1.055 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.269 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 1.286 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 1.306 * * * * [regimes]: Trying to branch on x from (# #) 1.333 * * * [regime]: Found split indices: #