0.551 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.104 * * * [progress]: [2/2] Setting up program. 0.113 * [progress]: [Phase 2 of 3] Improving. 0.117 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.118 * * [simplify]: iteration 0: 9 enodes 0.124 * * [simplify]: iteration 1: 16 enodes 0.128 * * [simplify]: iteration 2: 19 enodes 0.132 * * [simplify]: iteration 3: 21 enodes 0.137 * * [simplify]: iteration complete: 21 enodes 0.137 * * [simplify]: Extracting #0: cost 1 inf + 0 0.137 * * [simplify]: Extracting #1: cost 3 inf + 0 0.138 * * [simplify]: Extracting #2: cost 3 inf + 1 0.138 * * [simplify]: Extracting #3: cost 4 inf + 1 0.138 * * [simplify]: Extracting #4: cost 9 inf + 1 0.138 * * [simplify]: Extracting #5: cost 12 inf + 1 0.138 * * [simplify]: Extracting #6: cost 8 inf + 86 0.139 * * [simplify]: Extracting #7: cost 3 inf + 536 0.139 * * [simplify]: Extracting #8: cost 1 inf + 965 0.139 * * [simplify]: Extracting #9: cost 0 inf + 1273 0.140 * [simplify]: Simplified to: (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 2.0) 0.142 * * [progress]: iteration 1 / 4 0.142 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 0.215 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 0.223 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.223 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.224 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [backup-simplify]: Simplify 1.0 into 1.0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.226 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.227 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.227 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.227 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.229 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [backup-simplify]: Simplify (- 1) into -1 0.230 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.231 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.234 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.241 * [backup-simplify]: Simplify 2.0 into 2.0 0.242 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.242 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.243 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [backup-simplify]: Simplify 1.0 into 1.0 0.244 * [backup-simplify]: Simplify (- 1) into -1 0.245 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (/ -1 1) into -1 0.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) 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 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (/ -1 1) into -1 0.249 * [backup-simplify]: Simplify -1 into -1 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.255 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.255 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.263 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.264 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 0.264 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.264 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [backup-simplify]: Simplify 1.0 into 1.0 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 * [backup-simplify]: Simplify 1.0 into 1.0 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.266 * [backup-simplify]: Simplify (- 1) into -1 0.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.267 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.270 * [backup-simplify]: Simplify -1 into -1 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.275 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.275 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.281 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.282 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 0.282 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.282 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.282 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.283 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.283 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.283 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.284 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.284 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.284 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.284 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.284 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.284 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.285 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.285 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.285 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.285 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.285 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.285 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.285 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.286 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying: (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.288 * * [simplify]: iteration 0: 102 enodes 0.316 * * [simplify]: iteration 1: 245 enodes 0.405 * * [simplify]: iteration 2: 1051 enodes 0.680 * * [simplify]: iteration complete: 5000 enodes 0.680 * * [simplify]: Extracting #0: cost 53 inf + 0 0.688 * * [simplify]: Extracting #1: cost 421 inf + 1 0.691 * * [simplify]: Extracting #2: cost 1447 inf + 3202 0.706 * * [simplify]: Extracting #3: cost 1692 inf + 78958 0.756 * * [simplify]: Extracting #4: cost 326 inf + 275403 0.841 * * [simplify]: Extracting #5: cost 36 inf + 312959 0.913 * * [simplify]: Extracting #6: cost 26 inf + 316018 0.990 * * [simplify]: Extracting #7: cost 3 inf + 319562 1.072 * * [simplify]: Extracting #8: cost 0 inf + 320321 1.135 * [simplify]: Simplified to: (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (* (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0))) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (* (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0))) (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (+ (- 1.0) x) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (* (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (* (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (/ (+ (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (- 1.0 x) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (- 1.0 x) (- 1.0 x) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (* x (* x x)) (* 1.0 (* 1.0 1.0)))) (/ (/ (- 1.0 x) (+ x 1.0)) (- 1.0 x)) (* (+ x 1.0) (+ (* 1.0 1.0) (* x (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (+ 1.0 (- (* 2.0 (* x x)) (* 2.0 x))) (- (- (/ 2.0 x) 1) (/ (/ 2.0 x) x)) (- (- (/ 2.0 x) 1) (/ (/ 2.0 x) x)) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.139 * * * [progress]: adding candidates to table 1.405 * * [progress]: iteration 2 / 4 1.405 * * * [progress]: picking best candidate 1.409 * * * * [pick]: Picked # 1.409 * * * [progress]: localizing error 1.433 * * * [progress]: generating rewritten candidates 1.433 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 1.528 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 1.835 * * * [progress]: generating series expansions 1.835 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 1.836 * [backup-simplify]: Simplify (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) into (/ (pow (- 1.0 x) 2) (pow (+ x 1.0) 2)) 1.836 * [approximate]: Taking taylor expansion of (/ (pow (- 1.0 x) 2) (pow (+ x 1.0) 2)) in (x) around 0 1.836 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 x) 2) (pow (+ x 1.0) 2)) in x 1.836 * [taylor]: Taking taylor expansion of (pow (- 1.0 x) 2) in x 1.836 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.836 * [taylor]: Taking taylor expansion of 1.0 in x 1.836 * [backup-simplify]: Simplify 1.0 into 1.0 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.838 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.838 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of 1.0 in x 1.838 * [backup-simplify]: Simplify 1.0 into 1.0 1.838 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.839 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.839 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.840 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.840 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 x) 2) (pow (+ x 1.0) 2)) in x 1.840 * [taylor]: Taking taylor expansion of (pow (- 1.0 x) 2) in x 1.840 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [backup-simplify]: Simplify 1.0 into 1.0 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.841 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.841 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [taylor]: Taking taylor expansion of 1.0 in x 1.841 * [backup-simplify]: Simplify 1.0 into 1.0 1.841 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.842 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.842 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.843 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.843 * [backup-simplify]: Simplify 1.0 into 1.0 1.843 * [backup-simplify]: Simplify (- 1) into -1 1.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.845 * [backup-simplify]: Simplify (+ (* 1.0 -1) (* -1 1.0)) into (- 2.0) 1.846 * [backup-simplify]: Simplify (+ 1 0) into 1 1.847 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 1.850 * [backup-simplify]: Simplify (- (/ (- 2.0) 1.0) (+ (* 1.0 (/ 2.0 1.0)))) into (- 4.0) 1.851 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 -1) (* 0 1.0))) into 1 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.859 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* 1.0 (/ 1 1.0)) (* (- 4.0) (/ 2.0 1.0)))) into 8.0 1.859 * [backup-simplify]: Simplify 8.0 into 8.0 1.859 * [backup-simplify]: Simplify (+ (* 8.0 (pow x 2)) (+ (* (- 4.0) x) 1.0)) into (- (+ (* 8.0 (pow x 2)) 1.0) (* 4.0 x)) 1.860 * [backup-simplify]: Simplify (* (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (/ (pow (- 1.0 (/ 1 x)) 2) (pow (+ (/ 1 x) 1.0) 2)) 1.860 * [approximate]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (pow (+ (/ 1 x) 1.0) 2)) in (x) around 0 1.860 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (pow (+ (/ 1 x) 1.0) 2)) in x 1.860 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [backup-simplify]: Simplify 1.0 into 1.0 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [backup-simplify]: Simplify (- 1) into -1 1.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.861 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [backup-simplify]: Simplify 1.0 into 1.0 1.862 * [backup-simplify]: Simplify (+ 1 0) into 1 1.862 * [backup-simplify]: Simplify (* -1 -1) into 1 1.863 * [backup-simplify]: Simplify (* 1 1) into 1 1.863 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 2) (pow (+ (/ 1 x) 1.0) 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.863 * [taylor]: Taking taylor expansion of 1.0 in x 1.864 * [backup-simplify]: Simplify 1.0 into 1.0 1.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [backup-simplify]: Simplify (- 1) into -1 1.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.865 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.865 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (/ 1 1) into 1 1.865 * [taylor]: Taking taylor expansion of 1.0 in x 1.865 * [backup-simplify]: Simplify 1.0 into 1.0 1.866 * [backup-simplify]: Simplify (+ 1 0) into 1 1.866 * [backup-simplify]: Simplify (* -1 -1) into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.870 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.873 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 1.876 * [backup-simplify]: Simplify (- (/ (- 2.0) 1) (+ (* 1 (/ 2.0 1)))) into (- 4.0) 1.876 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 1.890 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 1.0 1)) (* (- 4.0) (/ 2.0 1)))) into 8.0 1.890 * [backup-simplify]: Simplify 8.0 into 8.0 1.891 * [backup-simplify]: Simplify (+ (* 8.0 (pow (/ 1 x) 2)) (+ (* (- 4.0) (/ 1 x)) 1)) into (- (+ (* 8.0 (/ 1 (pow x 2))) 1) (* 4.0 (/ 1 x))) 1.891 * [backup-simplify]: Simplify (* (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (/ (pow (+ (/ 1 x) 1.0) 2) (pow (- 1.0 (/ 1 x)) 2)) 1.892 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 2) (pow (- 1.0 (/ 1 x)) 2)) in (x) around 0 1.892 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 2) (pow (- 1.0 (/ 1 x)) 2)) in x 1.892 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [taylor]: Taking taylor expansion of 1.0 in x 1.892 * [backup-simplify]: Simplify 1.0 into 1.0 1.893 * [backup-simplify]: Simplify (+ 1 0) into 1 1.893 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.893 * [taylor]: Taking taylor expansion of 1.0 in x 1.893 * [backup-simplify]: Simplify 1.0 into 1.0 1.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [backup-simplify]: Simplify (- 1) into -1 1.894 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (* -1 -1) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 2) (pow (- 1.0 (/ 1 x)) 2)) in x 1.896 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [backup-simplify]: Simplify 1.0 into 1.0 1.897 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.897 * [taylor]: Taking taylor expansion of 1.0 in x 1.897 * [backup-simplify]: Simplify 1.0 into 1.0 1.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [backup-simplify]: Simplify (- 1) into -1 1.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.898 * [backup-simplify]: Simplify (* 1 1) into 1 1.899 * [backup-simplify]: Simplify (* -1 -1) into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.902 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.905 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 1.908 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ (- 2.0) 1)))) into 4.0 1.909 * [backup-simplify]: Simplify 4.0 into 4.0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 1.917 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 1.0 1)) (* 4.0 (/ (- 2.0) 1)))) into 8.0 1.917 * [backup-simplify]: Simplify 8.0 into 8.0 1.917 * [backup-simplify]: Simplify (+ (* 8.0 (pow (/ 1 (- x)) 2)) (+ (* 4.0 (/ 1 (- x))) 1)) into (- (+ (* 8.0 (/ 1 (pow x 2))) 1) (* 4.0 (/ 1 x))) 1.917 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.917 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x)))) into (/ (- 1.0 x) (+ x 1.0)) 1.918 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.918 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.918 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.918 * [taylor]: Taking taylor expansion of 1.0 in x 1.918 * [backup-simplify]: Simplify 1.0 into 1.0 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [taylor]: Taking taylor expansion of 1.0 in x 1.918 * [backup-simplify]: Simplify 1.0 into 1.0 1.918 * [backup-simplify]: Simplify (- 0) into 0 1.918 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.919 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.919 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.919 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.919 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [backup-simplify]: Simplify 1.0 into 1.0 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [backup-simplify]: Simplify 1.0 into 1.0 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.920 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.920 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.920 * [backup-simplify]: Simplify 1.0 into 1.0 1.920 * [backup-simplify]: Simplify (- 1) into -1 1.921 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.921 * [backup-simplify]: Simplify (+ 1 0) into 1 1.923 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.923 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.926 * [backup-simplify]: Simplify 2.0 into 2.0 1.927 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 1.927 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1.927 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.927 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.927 * [taylor]: Taking taylor expansion of 1.0 in x 1.927 * [backup-simplify]: Simplify 1.0 into 1.0 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (/ 1 1) into 1 1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.928 * [backup-simplify]: Simplify (- 1) into -1 1.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.929 * [backup-simplify]: Simplify (+ 1 0) into 1 1.929 * [backup-simplify]: Simplify (/ -1 1) into -1 1.929 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of 1.0 in x 1.929 * [backup-simplify]: Simplify 1.0 into 1.0 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.929 * [taylor]: Taking taylor expansion of x in x 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.935 * [backup-simplify]: Simplify 1.0 into 1.0 1.935 * [backup-simplify]: Simplify (- 1) into -1 1.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (/ -1 1) into -1 1.936 * [backup-simplify]: Simplify -1 into -1 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.940 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.940 * [backup-simplify]: Simplify 2.0 into 2.0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.947 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.948 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 1.948 * [backup-simplify]: Simplify (cbrt (* (* (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 1.948 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.948 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [backup-simplify]: Simplify 1.0 into 1.0 1.949 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [backup-simplify]: Simplify 1.0 into 1.0 1.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (+ 1 0) into 1 1.950 * [backup-simplify]: Simplify (- 1) into -1 1.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.951 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.951 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [backup-simplify]: Simplify 1.0 into 1.0 1.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.952 * [backup-simplify]: Simplify 1.0 into 1.0 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [backup-simplify]: Simplify (+ 1 0) into 1 1.953 * [backup-simplify]: Simplify (- 1) into -1 1.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.954 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.954 * [backup-simplify]: Simplify -1 into -1 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.960 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.960 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.968 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.969 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 1.970 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.970 * [backup-simplify]: Simplify (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) into (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)) 1.970 * [approximate]: Taking taylor expansion of (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)) in (x) around 0 1.970 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)) in x 1.970 * [taylor]: Taking taylor expansion of (pow (- 1.0 x) 3) in x 1.970 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.970 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.971 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 3) in x 1.971 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.971 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.972 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.972 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.972 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.972 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.972 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)) in x 1.972 * [taylor]: Taking taylor expansion of (pow (- 1.0 x) 3) in x 1.972 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [backup-simplify]: Simplify 1.0 into 1.0 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.973 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 3) in x 1.973 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [backup-simplify]: Simplify 1.0 into 1.0 1.973 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.974 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.974 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.974 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.974 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 1.975 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.975 * [backup-simplify]: Simplify 1.0 into 1.0 1.975 * [backup-simplify]: Simplify (- 1) into -1 1.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.976 * [backup-simplify]: Simplify (+ (* 1.0 -1) (* -1 1.0)) into (- 2.0) 1.977 * [backup-simplify]: Simplify (+ (* 1.0 (- 2.0)) (* -1 1.0)) into (- 3.0) 1.978 * [backup-simplify]: Simplify (+ 1 0) into 1 1.978 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 1.979 * [backup-simplify]: Simplify (+ (* 1.0 2.0) (* 1 1.0)) into 3.0 1.981 * [backup-simplify]: Simplify (- (/ (- 3.0) 1.0) (+ (* 1.0 (/ 3.0 1.0)))) into (- 6.0) 1.982 * [backup-simplify]: Simplify (- 6.0) into (- 6.0) 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 -1) (* 0 1.0))) into 1 1.985 * [backup-simplify]: Simplify (+ (* 1.0 1) (+ (* -1 (- 2.0)) (* 0 1.0))) into 3.0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.987 * [backup-simplify]: Simplify (+ (* 1.0 1) (+ (* 1 2.0) (* 0 1.0))) into 3.0 1.990 * [backup-simplify]: Simplify (- (/ 3.0 1.0) (+ (* 1.0 (/ 3.0 1.0)) (* (- 6.0) (/ 3.0 1.0)))) into 18.0 1.990 * [backup-simplify]: Simplify 18.0 into 18.0 1.991 * [backup-simplify]: Simplify (+ (* 18.0 (pow x 2)) (+ (* (- 6.0) x) 1.0)) into (- (+ (* 18.0 (pow x 2)) 1.0) (* 6.0 x)) 1.991 * [backup-simplify]: Simplify (* (* (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (/ (pow (- 1.0 (/ 1 x)) 3) (pow (+ (/ 1 x) 1.0) 3)) 1.991 * [approximate]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 3) (pow (+ (/ 1 x) 1.0) 3)) in (x) around 0 1.991 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 3) (pow (+ (/ 1 x) 1.0) 3)) in x 1.991 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 1.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.991 * [taylor]: Taking taylor expansion of 1.0 in x 1.991 * [backup-simplify]: Simplify 1.0 into 1.0 1.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (- 1) into -1 1.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.992 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 3) in x 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [backup-simplify]: Simplify 1.0 into 1.0 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.993 * [backup-simplify]: Simplify (* -1 -1) into 1 1.993 * [backup-simplify]: Simplify (* -1 1) into -1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.994 * [backup-simplify]: Simplify (/ -1 1) into -1 1.994 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 x)) 3) (pow (+ (/ 1 x) 1.0) 3)) in x 1.994 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 1.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.994 * [taylor]: Taking taylor expansion of 1.0 in x 1.994 * [backup-simplify]: Simplify 1.0 into 1.0 1.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [backup-simplify]: Simplify (- 1) into -1 1.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.995 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 3) in x 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.995 * [backup-simplify]: Simplify 1.0 into 1.0 1.995 * [backup-simplify]: Simplify (+ 1 0) into 1 1.995 * [backup-simplify]: Simplify (* -1 -1) into 1 1.996 * [backup-simplify]: Simplify (* -1 1) into -1 1.996 * [backup-simplify]: Simplify (* 1 1) into 1 1.996 * [backup-simplify]: Simplify (* 1 1) into 1 1.996 * [backup-simplify]: Simplify (/ -1 1) into -1 1.996 * [backup-simplify]: Simplify -1 into -1 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.998 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 2.000 * [backup-simplify]: Simplify (+ (* -1 (- 2.0)) (* 1.0 1)) into 3.0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.001 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 2.002 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 1.0 1)) into 3.0 2.004 * [backup-simplify]: Simplify (- (/ 3.0 1) (+ (* -1 (/ 3.0 1)))) into 6.0 2.004 * [backup-simplify]: Simplify 6.0 into 6.0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- 0) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 2.012 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 1.0 (- 2.0)) (* 0 1))) into (- 3.0) 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 2.019 * [backup-simplify]: Simplify (+ (* 1 1.0) (+ (* 1.0 2.0) (* 0 1))) into 3.0 2.024 * [backup-simplify]: Simplify (- (/ (- 3.0) 1) (+ (* -1 (/ 3.0 1)) (* 6.0 (/ 3.0 1)))) into (- 18.0) 2.025 * [backup-simplify]: Simplify (- 18.0) into (- 18.0) 2.026 * [backup-simplify]: Simplify (+ (* (- 18.0) (pow (/ 1 x) 2)) (+ (* 6.0 (/ 1 x)) -1)) into (- (* 6.0 (/ 1 x)) (+ (* 18.0 (/ 1 (pow x 2))) 1)) 2.026 * [backup-simplify]: Simplify (* (* (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (/ (pow (+ (/ 1 x) 1.0) 3) (pow (- 1.0 (/ 1 x)) 3)) 2.026 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 3) (pow (- 1.0 (/ 1 x)) 3)) in (x) around 0 2.026 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 3) (pow (- 1.0 (/ 1 x)) 3)) in x 2.026 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 3) in x 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [taylor]: Taking taylor expansion of 1.0 in x 2.027 * [backup-simplify]: Simplify 1.0 into 1.0 2.027 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 2.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.027 * [taylor]: Taking taylor expansion of 1.0 in x 2.027 * [backup-simplify]: Simplify 1.0 into 1.0 2.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [backup-simplify]: Simplify (- 1) into -1 2.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (* -1 -1) into 1 2.030 * [backup-simplify]: Simplify (* -1 1) into -1 2.031 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.031 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) 1.0) 3) (pow (- 1.0 (/ 1 x)) 3)) in x 2.031 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 3) in x 2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of 1.0 in x 2.031 * [backup-simplify]: Simplify 1.0 into 1.0 2.032 * [backup-simplify]: Simplify (+ 1 0) into 1 2.032 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 3) in x 2.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.032 * [taylor]: Taking taylor expansion of 1.0 in x 2.032 * [backup-simplify]: Simplify 1.0 into 1.0 2.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [backup-simplify]: Simplify (- 1) into -1 2.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (* -1 -1) into 1 2.035 * [backup-simplify]: Simplify (* -1 1) into -1 2.035 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.035 * [backup-simplify]: Simplify -1 into -1 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.038 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 2.039 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 1.0 1)) into 3.0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (- 0) into 0 2.040 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.040 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 2.042 * [backup-simplify]: Simplify (+ (* -1 (- 2.0)) (* 1.0 1)) into 3.0 2.048 * [backup-simplify]: Simplify (- (/ 3.0 -1) (+ (* -1 (/ 3.0 -1)))) into (- 6.0) 2.048 * [backup-simplify]: Simplify (- 6.0) into (- 6.0) 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 2.052 * [backup-simplify]: Simplify (+ (* 1 1.0) (+ (* 1.0 2.0) (* 0 1))) into 3.0 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 2.057 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 1.0 (- 2.0)) (* 0 1))) into (- 3.0) 2.061 * [backup-simplify]: Simplify (- (/ 3.0 -1) (+ (* -1 (/ (- 3.0) -1)) (* (- 6.0) (/ 3.0 -1)))) into (- 18.0) 2.061 * [backup-simplify]: Simplify (- 18.0) into (- 18.0) 2.062 * [backup-simplify]: Simplify (+ (* (- 18.0) (pow (/ 1 (- x)) 2)) (+ (* (- 6.0) (/ 1 (- x))) -1)) into (- (* 6.0 (/ 1 x)) (+ (* 18.0 (/ 1 (pow x 2))) 1)) 2.062 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 2.062 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 2.062 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 2.062 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.062 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.062 * [taylor]: Taking taylor expansion of 1.0 in x 2.062 * [backup-simplify]: Simplify 1.0 into 1.0 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of 1.0 in x 2.062 * [backup-simplify]: Simplify 1.0 into 1.0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.063 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.063 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.063 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.063 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [backup-simplify]: Simplify 1.0 into 1.0 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.063 * [taylor]: Taking taylor expansion of x in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [taylor]: Taking taylor expansion of 1.0 in x 2.063 * [backup-simplify]: Simplify 1.0 into 1.0 2.064 * [backup-simplify]: Simplify (- 0) into 0 2.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.064 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.064 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.065 * [backup-simplify]: Simplify 1.0 into 1.0 2.065 * [backup-simplify]: Simplify (- 1) into -1 2.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.065 * [backup-simplify]: Simplify (+ 1 0) into 1 2.067 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.067 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 2.071 * [backup-simplify]: Simplify 2.0 into 2.0 2.071 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 2.071 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 2.071 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 2.071 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [backup-simplify]: Simplify 1.0 into 1.0 2.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [backup-simplify]: Simplify 1.0 into 1.0 2.072 * [backup-simplify]: Simplify (- 1) into -1 2.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (/ -1 1) into -1 2.073 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [backup-simplify]: Simplify 1.0 into 1.0 2.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.074 * [taylor]: Taking taylor expansion of x in x 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (/ 1 1) into 1 2.074 * [taylor]: Taking taylor expansion of 1.0 in x 2.074 * [backup-simplify]: Simplify 1.0 into 1.0 2.075 * [backup-simplify]: Simplify (- 1) into -1 2.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.076 * [backup-simplify]: Simplify (+ 1 0) into 1 2.076 * [backup-simplify]: Simplify (/ -1 1) into -1 2.076 * [backup-simplify]: Simplify -1 into -1 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.082 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.082 * [backup-simplify]: Simplify 2.0 into 2.0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (- 0) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 2.090 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.090 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 2.091 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 2.091 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 2.091 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.091 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.091 * [backup-simplify]: Simplify 1.0 into 1.0 2.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.091 * [backup-simplify]: Simplify 1.0 into 1.0 2.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (/ 1 1) into 1 2.092 * [backup-simplify]: Simplify (+ 1 0) into 1 2.093 * [backup-simplify]: Simplify (- 1) into -1 2.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.094 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [taylor]: Taking taylor expansion of 1.0 in x 2.094 * [backup-simplify]: Simplify 1.0 into 1.0 2.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.094 * [taylor]: Taking taylor expansion of 1.0 in x 2.094 * [backup-simplify]: Simplify 1.0 into 1.0 2.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [backup-simplify]: Simplify (+ 1 0) into 1 2.095 * [backup-simplify]: Simplify (- 1) into -1 2.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.096 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.096 * [backup-simplify]: Simplify -1 into -1 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- 0) into 0 2.099 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.102 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 2.103 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 2.111 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.112 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 2.112 * * * [progress]: simplifying candidates 2.119 * [simplify]: Simplifying: (+ 1 1) (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (+ 1 1) (+ (- (log (- 1.0 x)) (log (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x)))) (+ (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x)))) (+ (log (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x)))) (+ (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x)))) (log (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)))) (exp (* (/ (- 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) (+ 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)))) (* (* (* (/ (- 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)) (/ (- 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)))) (* (cbrt (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (* (/ (- 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)) (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)))) (* (- 1.0 x) (- 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (* (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (* (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (* (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (* (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (* (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (* (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (* (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (* (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 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x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (- (+ (* 8.0 (pow x 2)) 1.0) (* 4.0 x)) (- (+ (* 8.0 (/ 1 (pow x 2))) 1) (* 4.0 (/ 1 x))) (- (+ (* 8.0 (/ 1 (pow x 2))) 1) (* 4.0 (/ 1 x))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (+ (* 18.0 (pow x 2)) 1.0) (* 6.0 x)) (- (* 6.0 (/ 1 x)) (+ (* 18.0 (/ 1 (pow x 2))) 1)) (- (* 6.0 (/ 1 x)) (+ (* 18.0 (/ 1 (pow x 2))) 1)) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 2.124 * * [simplify]: iteration 0: 260 enodes 2.217 * * [simplify]: iteration 1: 942 enodes 2.634 * * [simplify]: iteration complete: 5001 enodes 2.634 * * [simplify]: Extracting #0: cost 164 inf + 0 2.638 * * [simplify]: Extracting #1: cost 1531 inf + 3 2.644 * * [simplify]: Extracting #2: cost 2156 inf + 1330 2.661 * * [simplify]: Extracting #3: cost 1662 inf + 77026 2.756 * * [simplify]: Extracting #4: cost 448 inf + 373393 2.884 * * [simplify]: Extracting #5: cost 16 inf + 485335 3.020 * * [simplify]: Extracting #6: cost 3 inf + 486468 3.166 * * [simplify]: Extracting #7: cost 0 inf + 487227 3.331 * [simplify]: Simplified to: 2 (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0))) 2 (+ (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0)))) (+ (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0)))) (+ (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0)))) (+ (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0)))) (+ (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0)))) (exp (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)))) (* (* (/ (- 1.0 x) (+ x 1.0)) (* (/ (- 1.0 x) (+ x 1.0)) (/ (- 1.0 x) (+ x 1.0)))) (* (/ (- 1.0 x) (+ x 1.0)) (* (/ (- 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(sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (+ (sqrt x) (sqrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (+ (sqrt x) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ (/ 1 (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (- 1.0 x) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (- 1.0 x) (- 1.0 x) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ (* x (+ x 1.0)) (* 1.0 1.0)) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (+ (* x (* x 8.0)) (- 1.0 (* x 4.0))) (+ (/ 8.0 (* x x)) (- 1 (/ 4.0 x))) (+ (/ 8.0 (* x x)) (- 1 (/ 4.0 x))) (+ (* (* x x) 2.0) (- 1.0 (* 2.0 x))) (- (- (/ 2.0 x) (/ 2.0 (* x x))) 1) (- (- (/ 2.0 x) (/ 2.0 (* x x))) 1) (+ (* x (* x 18.0)) (- 1.0 (* x 6.0))) (- (/ 6.0 x) (+ (/ 18.0 (* x x)) 1)) (- (/ 6.0 x) (+ (/ 18.0 (* x x)) 1)) (+ (* (* x x) 2.0) (- 1.0 (* 2.0 x))) (- (- (/ 2.0 x) (/ 2.0 (* x x))) 1) (- (- (/ 2.0 x) (/ 2.0 (* x x))) 1) 3.387 * * * [progress]: adding candidates to table 4.623 * [progress]: [Phase 3 of 3] Extracting. 4.628 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (cbrt (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))))))) 4.628 * * [simplify]: iteration 0: 12 enodes 4.628 * * [simplify]: iteration 1: 15 enodes 4.629 * * [simplify]: iteration complete: 15 enodes 4.629 * * [simplify]: Extracting #0: cost 1 inf + 0 4.629 * * [simplify]: Extracting #1: cost 3 inf + 0 4.629 * * [simplify]: Extracting #2: cost 3 inf + 1 4.629 * * [simplify]: Extracting #3: cost 4 inf + 1 4.629 * * [simplify]: Extracting #4: cost 5 inf + 1 4.629 * * [simplify]: Extracting #5: cost 7 inf + 1 4.629 * * [simplify]: Extracting #6: cost 9 inf + 1 4.629 * * [simplify]: Extracting #7: cost 11 inf + 1 4.629 * * [simplify]: Extracting #8: cost 0 inf + 2072 4.630 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (cbrt (* (/ (- 1.0 x) (+ 1.0 x)) (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x)))))))) 6.984 * [regime-testing]: Baseline error score: 0.014376797099637455 7.002 * [regime-testing]: Oracle error score: 0.014376797099637455 7.003 * [regime-testing]: End program error score: 0.014376797099637455