1.273 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.098 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.099 * * [simplify]: iteration 0: 9 enodes 0.103 * * [simplify]: iteration 1: 16 enodes 0.147 * * [simplify]: iteration 2: 19 enodes 0.151 * * [simplify]: iteration 3: 21 enodes 0.155 * * [simplify]: iteration complete: 21 enodes 0.157 * * [simplify]: Extracting #0: cost 1 inf + 0 0.157 * * [simplify]: Extracting #1: cost 3 inf + 0 0.158 * * [simplify]: Extracting #2: cost 3 inf + 1 0.158 * * [simplify]: Extracting #3: cost 4 inf + 1 0.158 * * [simplify]: Extracting #4: cost 9 inf + 1 0.158 * * [simplify]: Extracting #5: cost 12 inf + 1 0.158 * * [simplify]: Extracting #6: cost 8 inf + 8 0.158 * * [simplify]: Extracting #7: cost 3 inf + 34 0.158 * * [simplify]: Extracting #8: cost 1 inf + 51 0.158 * * [simplify]: Extracting #9: cost 0 inf + 62 0.158 * [simplify]: Simplified to: (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 2.0) 0.170 * * [progress]: iteration 1 / 4 0.170 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.220 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.236 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.242 * * * [progress]: generating series expansions 0.250 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.255 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.255 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.258 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.259 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.259 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.259 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.260 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.260 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.263 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.267 * [backup-simplify]: Simplify 2.0 into 2.0 0.268 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.269 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.269 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.271 * [backup-simplify]: Simplify (/ -1 1) into -1 0.271 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [backup-simplify]: Simplify (- 1) into -1 0.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (/ -1 1) into -1 0.273 * [backup-simplify]: Simplify -1 into -1 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.276 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.276 * [backup-simplify]: Simplify 2.0 into 2.0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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) 0.281 * [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 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.282 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [backup-simplify]: Simplify 1.0 into 1.0 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.283 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.283 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (+ 1 0) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.285 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.285 * [backup-simplify]: Simplify -1 into -1 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.289 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.289 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.294 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.295 * [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)) 0.295 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.295 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.295 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.295 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.295 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.296 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.296 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.296 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.297 * [backup-simplify]: Simplify (- 1) into -1 0.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.300 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.300 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.300 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.301 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.301 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.302 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.302 * [backup-simplify]: Simplify (- 1) into -1 0.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.305 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.306 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.306 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.314 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.319 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.325 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.325 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.325 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.325 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [backup-simplify]: Simplify 1.0 into 1.0 0.326 * [backup-simplify]: Simplify (- 1) into -1 0.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify (/ -1 1) into -1 0.327 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.331 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.332 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.332 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [backup-simplify]: Simplify (- 1) into -1 0.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (/ -1 1) into -1 0.334 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.341 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.342 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.342 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.343 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.352 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.356 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.359 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.359 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.359 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [backup-simplify]: Simplify 1.0 into 1.0 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [backup-simplify]: Simplify 1.0 into 1.0 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.361 * [backup-simplify]: Simplify (- 1) into -1 0.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.361 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.362 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.365 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.366 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.366 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [backup-simplify]: Simplify 1.0 into 1.0 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of 1.0 in x 0.367 * [backup-simplify]: Simplify 1.0 into 1.0 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (- 1) into -1 0.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.368 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.368 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.371 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.373 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.373 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.374 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.382 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.385 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.387 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.387 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.387 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.387 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.388 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.388 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.388 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.389 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.389 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.389 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.389 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.389 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.389 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.390 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.390 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.390 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.390 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.390 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.390 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.390 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.391 * * * [progress]: simplifying candidates 0.393 * [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 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (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)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 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)) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -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)))) 0.394 * * [simplify]: iteration 0: 162 enodes 0.424 * * [simplify]: iteration 1: 348 enodes 0.627 * * [simplify]: iteration 2: 1250 enodes 1.033 * * [simplify]: iteration complete: 5001 enodes 1.033 * * [simplify]: Extracting #0: cost 90 inf + 0 1.034 * * [simplify]: Extracting #1: cost 454 inf + 2 1.037 * * [simplify]: Extracting #2: cost 1558 inf + 31 1.043 * * [simplify]: Extracting #3: cost 1666 inf + 4484 1.051 * * [simplify]: Extracting #4: cost 383 inf + 14824 1.063 * * [simplify]: Extracting #5: cost 68 inf + 17159 1.078 * * [simplify]: Extracting #6: cost 24 inf + 17433 1.097 * * [simplify]: Extracting #7: cost 3 inf + 17530 1.112 * * [simplify]: Extracting #8: cost 0 inf + 17545 1.127 * [simplify]: Simplified to: (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (+ x (- 1.0)) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (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) (+ (pow x 3) (pow 1.0 3))) (/ (/ (- 1.0 x) (+ x 1.0)) (- 1.0 x)) (* (+ x 1.0) (+ (* (+ x 1.0) x) (* 1.0 1.0))) (* (+ x 1.0) (+ x 1.0)) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (cbrt (- 1.0 x)) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) (sqrt (/ (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) (sqrt (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (/ 1 (sqrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (sqrt (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (/ 1 (sqrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ (/ (- 1.0 x) (+ x 1.0)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ x 1.0)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ 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))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (+ 1.0 (* 2.0 (- (* x x) x))) (+ (- (/ 2.0 x) (/ (/ 2.0 x) x)) -1) (+ (- (/ 2.0 x) (/ (/ 2.0 x) x)) -1) (+ (sqrt 1.0) (- (* (/ (* x x) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (* 1.0 (/ x (sqrt 1.0))))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (/ (/ 0.5 (sqrt -1)) (* x x)))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (/ (/ 0.5 (sqrt -1)) (* 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)))) 1.128 * * * [progress]: adding candidates to table 1.564 * * [progress]: iteration 2 / 4 1.564 * * * [progress]: picking best candidate 1.574 * * * * [pick]: Picked # 1.574 * * * [progress]: localizing error 1.596 * * * [progress]: generating rewritten candidates 1.596 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.597 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.608 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.619 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.666 * * * [progress]: generating series expansions 1.666 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.666 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.666 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 1.666 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.667 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.667 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.667 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.667 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.668 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.668 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 1.668 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.668 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.668 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.669 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.669 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.670 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.670 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 1.670 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.670 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.670 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.670 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.671 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x)))))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.671 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.671 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 1.672 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.672 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.672 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.672 * [backup-simplify]: Simplify 1.0 into 1.0 1.673 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.673 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.674 * [backup-simplify]: Simplify (+ 1 0) into 1 1.675 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.675 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.676 * [taylor]: Taking taylor expansion of 1.0 in x 1.676 * [backup-simplify]: Simplify 1.0 into 1.0 1.676 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.676 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.677 * [backup-simplify]: Simplify (+ 1 0) into 1 1.679 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.679 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.680 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.684 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.686 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 1.686 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 1.686 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [backup-simplify]: Simplify 1.0 into 1.0 1.687 * [backup-simplify]: Simplify (+ 1 0) into 1 1.687 * [backup-simplify]: Simplify (sqrt 0) into 0 1.688 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [taylor]: Taking taylor expansion of 1.0 in x 1.689 * [backup-simplify]: Simplify 1.0 into 1.0 1.689 * [backup-simplify]: Simplify (+ 1 0) into 1 1.689 * [backup-simplify]: Simplify (sqrt 0) into 0 1.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.693 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.693 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.696 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.696 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.696 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 1.697 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.697 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [backup-simplify]: Simplify 1.0 into 1.0 1.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (/ 1 1) into 1 1.697 * [backup-simplify]: Simplify (- 1) into -1 1.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.698 * [backup-simplify]: Simplify (sqrt 0) into 0 1.698 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.699 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [backup-simplify]: Simplify 1.0 into 1.0 1.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [backup-simplify]: Simplify (- 1) into -1 1.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.700 * [backup-simplify]: Simplify (sqrt 0) into 0 1.700 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (- 0) into 0 1.702 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.703 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.707 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.707 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.707 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.707 * [backup-simplify]: Simplify (sqrt (- 1.0 x)) into (sqrt (- 1.0 x)) 1.707 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 1.707 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.707 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.707 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [backup-simplify]: Simplify 1.0 into 1.0 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (- 0) into 0 1.708 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.708 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.708 * [backup-simplify]: Simplify (- 1) into -1 1.709 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.712 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.712 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.713 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [backup-simplify]: Simplify 1.0 into 1.0 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.713 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.714 * [backup-simplify]: Simplify (- 1) into -1 1.714 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.715 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.716 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.717 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.717 * [backup-simplify]: Simplify (- 0) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.725 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.727 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ -1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) 1.727 * [backup-simplify]: Simplify (sqrt (- 1.0 (/ 1 x))) into (sqrt (- 1.0 (/ 1 x))) 1.727 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.727 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of 1.0 in x 1.727 * [backup-simplify]: Simplify 1.0 into 1.0 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [backup-simplify]: Simplify (- 1) into -1 1.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.728 * [backup-simplify]: Simplify (sqrt 0) into 0 1.729 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.729 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.729 * [taylor]: Taking taylor expansion of 1.0 in x 1.729 * [backup-simplify]: Simplify 1.0 into 1.0 1.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [backup-simplify]: Simplify (- 1) into -1 1.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.730 * [backup-simplify]: Simplify (sqrt 0) into 0 1.731 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.732 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.734 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.734 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.738 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.738 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.738 * [backup-simplify]: Simplify (sqrt (- 1.0 (/ 1 (- x)))) into (sqrt (+ (/ 1 x) 1.0)) 1.738 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [backup-simplify]: Simplify 1.0 into 1.0 1.739 * [backup-simplify]: Simplify (+ 1 0) into 1 1.739 * [backup-simplify]: Simplify (sqrt 0) into 0 1.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [backup-simplify]: Simplify 1.0 into 1.0 1.741 * [backup-simplify]: Simplify (+ 1 0) into 1 1.741 * [backup-simplify]: Simplify (sqrt 0) into 0 1.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.744 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.748 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.748 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.748 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 1.748 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.749 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.749 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.750 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.750 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.750 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.751 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.751 * [backup-simplify]: Simplify (- 1) into -1 1.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.752 * [backup-simplify]: Simplify (+ 1 0) into 1 1.755 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.757 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.757 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.757 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.757 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.757 * [taylor]: Taking taylor expansion of 1.0 in x 1.757 * [backup-simplify]: Simplify 1.0 into 1.0 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of 1.0 in x 1.757 * [backup-simplify]: Simplify 1.0 into 1.0 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.758 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.758 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.759 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.759 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.760 * [backup-simplify]: Simplify (- 1) into -1 1.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.760 * [backup-simplify]: Simplify (+ 1 0) into 1 1.763 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.765 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.766 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.767 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 1.767 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.779 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 1.786 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 1.793 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 1.794 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 1.794 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.794 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.794 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [backup-simplify]: Simplify 1.0 into 1.0 1.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [backup-simplify]: Simplify 1.0 into 1.0 1.795 * [backup-simplify]: Simplify (- 1) into -1 1.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.795 * [backup-simplify]: Simplify (+ 1 0) into 1 1.795 * [backup-simplify]: Simplify (/ -1 1) into -1 1.796 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.799 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.800 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.801 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.801 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.801 * [taylor]: Taking taylor expansion of 1.0 in x 1.801 * [backup-simplify]: Simplify 1.0 into 1.0 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ 1 1) into 1 1.801 * [taylor]: Taking taylor expansion of 1.0 in x 1.801 * [backup-simplify]: Simplify 1.0 into 1.0 1.802 * [backup-simplify]: Simplify (- 1) into -1 1.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.802 * [backup-simplify]: Simplify (+ 1 0) into 1 1.802 * [backup-simplify]: Simplify (/ -1 1) into -1 1.803 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (- 0) into 0 1.804 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.806 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.807 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.808 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.808 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.819 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.827 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 1.830 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 1.830 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 1.830 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.830 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.830 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.830 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [backup-simplify]: Simplify 1.0 into 1.0 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [backup-simplify]: Simplify 1.0 into 1.0 1.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.832 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [backup-simplify]: Simplify (+ 1 0) into 1 1.832 * [backup-simplify]: Simplify (- 1) into -1 1.833 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.833 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.834 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (- 0) into 0 1.836 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.839 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.841 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.841 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.841 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.841 * [taylor]: Taking taylor expansion of (/ 1 x) 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 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [backup-simplify]: Simplify 1.0 into 1.0 1.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [backup-simplify]: Simplify 1.0 into 1.0 1.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (+ 1 0) into 1 1.843 * [backup-simplify]: Simplify (- 1) into -1 1.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.844 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.844 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.850 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.852 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.852 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.853 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.862 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.865 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 1.867 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 1.867 * * * [progress]: simplifying candidates 1.870 * [simplify]: Simplifying: (log (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (exp (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (* (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x 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(sqrt x))) (sqrt (+ x 1.0))) (/ 1 (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ x 1.0)))) (/ 1 (fabs (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ x 1.0)))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (fabs (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ x 1.0))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ 1 (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ x 1.0)))) (/ 1 (fabs (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ x 1.0)))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) (sqrt (- 1.0 x)) (/ (sqrt (+ x 1.0)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (sqrt (- 1.0 x)) (sqrt (* (- 1.0 x) (+ x 1.0)))) (* (sqrt (+ (* (+ x 1.0) x) (* 1.0 1.0))) (sqrt (+ x 1.0))) (+ x 1.0) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (+ (/ (* x -1/8) (/ (pow (sqrt 1.0) 3) x)) (+ (* (/ x (sqrt 1.0)) 1/2) (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (+ (- (/ (* x -1/8) (/ (pow (sqrt 1.0) 3) x)) (* (/ x (sqrt 1.0)) 1/2)) (sqrt 1.0)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (+ (sqrt 1.0) (- (* (/ x (/ (sqrt 1.0) x)) (- 1.0 (/ 0.5 1.0))) (/ (* 1.0 x) (sqrt 1.0)))) (+ (* (/ 1 (sqrt -1)) (- (/ 1.0 x) (/ 0.5 (* x x)))) (sqrt -1)) (+ (* (/ 1 (sqrt -1)) (- (/ 1.0 x) (/ 0.5 (* x x)))) (sqrt -1)) 2.510 * * * [progress]: adding candidates to table 3.089 * * [progress]: iteration 3 / 4 3.089 * * * [progress]: picking best candidate 3.104 * * * * [pick]: Picked # 3.104 * * * [progress]: localizing error 3.125 * * * [progress]: generating rewritten candidates 3.125 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 3.144 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 3.145 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 3.158 * * * [progress]: generating series expansions 3.158 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 3.159 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) 3.159 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in (x) around 0 3.159 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 3.159 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.159 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.160 * [taylor]: Taking taylor expansion of 1.0 in x 3.160 * [backup-simplify]: Simplify 1.0 into 1.0 3.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.161 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.161 * [backup-simplify]: Simplify (+ 0 0) into 0 3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.162 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.162 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.162 * [taylor]: Taking taylor expansion of x in x 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 1 into 1 3.162 * [taylor]: Taking taylor expansion of 1.0 in x 3.162 * [backup-simplify]: Simplify 1.0 into 1.0 3.163 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.163 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 3.163 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 3.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.163 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.163 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [backup-simplify]: Simplify 1.0 into 1.0 3.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.163 * [taylor]: Taking taylor expansion of x in x 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.164 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.164 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.165 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.165 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * [backup-simplify]: Simplify 1.0 into 1.0 3.166 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.166 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 3.167 * [backup-simplify]: Simplify (* (sqrt 1.0) 1.0) into (* 1.0 (sqrt 1.0)) 3.168 * [backup-simplify]: Simplify (* 1.0 (sqrt 1.0)) into (* 1.0 (sqrt 1.0)) 3.168 * [backup-simplify]: Simplify (+ 1 0) into 1 3.169 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 3.171 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- 1.0)) (* 0 1.0)) into (- (* 1.0 (sqrt 1.0))) 3.172 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0))) into (- (* 1.0 (sqrt 1.0))) 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 3.175 * [backup-simplify]: Simplify (* 1 1) into 1 3.176 * [backup-simplify]: Simplify (- 1) into -1 3.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.178 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.181 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1.0) (+ (* 0 (- 1.0)) (* (/ -1/2 (sqrt 1.0)) 1.0))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 3.183 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 3.186 * [backup-simplify]: Simplify (+ (* (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) (pow x 2)) (+ (* (- (* 1.0 (sqrt 1.0))) x) (* 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (* (sqrt 1.0) (pow x 2)))) (+ (* 1.0 (* (sqrt 1.0) x)) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) 3.187 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) (+ (/ 1 x) 1.0)) into (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) 3.187 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 3.187 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.187 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.187 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.187 * [taylor]: Taking taylor expansion of x in x 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [taylor]: Taking taylor expansion of 1.0 in x 3.187 * [backup-simplify]: Simplify 1.0 into 1.0 3.187 * [backup-simplify]: Simplify (+ 1 0) into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.188 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.188 * [taylor]: Taking taylor expansion of 1.0 in x 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.188 * [taylor]: Taking taylor expansion of x in x 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [backup-simplify]: Simplify (* 1 1) into 1 3.188 * [backup-simplify]: Simplify (/ 1 1) into 1 3.188 * [backup-simplify]: Simplify (- 1) into -1 3.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.189 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (- 0) into 0 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.191 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [taylor]: Taking taylor expansion of 1.0 in x 3.191 * [backup-simplify]: Simplify 1.0 into 1.0 3.191 * [backup-simplify]: Simplify (+ 1 0) into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.192 * [taylor]: Taking taylor expansion of 1.0 in x 3.192 * [backup-simplify]: Simplify 1.0 into 1.0 3.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.192 * [taylor]: Taking taylor expansion of x in x 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (* 1 1) into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [backup-simplify]: Simplify (- 1) into -1 3.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.193 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (- 0) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.195 * [backup-simplify]: Simplify (* 1 (sqrt -1)) into (sqrt -1) 3.196 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 3.203 * [backup-simplify]: Simplify (+ (* 1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.204 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.206 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.209 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 3.219 * [backup-simplify]: Simplify (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* 1.0 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 3.223 * [backup-simplify]: Simplify (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 3.229 * [backup-simplify]: Simplify (+ (* (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 x) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 x)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) 3.230 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) (+ (/ 1 (- x)) 1.0)) into (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) 3.230 * [approximate]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 3.230 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.230 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.230 * [taylor]: Taking taylor expansion of 1.0 in x 3.230 * [backup-simplify]: Simplify 1.0 into 1.0 3.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.230 * [taylor]: Taking taylor expansion of x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [backup-simplify]: Simplify (- 1) into -1 3.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.232 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.232 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [backup-simplify]: Simplify 1.0 into 1.0 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.232 * [taylor]: Taking taylor expansion of x in x 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (* 1 1) into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [backup-simplify]: Simplify (- 1) into -1 3.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.234 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (- 0) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.237 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.237 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.237 * [taylor]: Taking taylor expansion of 1.0 in x 3.237 * [backup-simplify]: Simplify 1.0 into 1.0 3.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.237 * [taylor]: Taking taylor expansion of x in x 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (/ 1 1) into 1 3.238 * [backup-simplify]: Simplify (- 1) into -1 3.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.239 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.239 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.239 * [taylor]: Taking taylor expansion of 1.0 in x 3.239 * [backup-simplify]: Simplify 1.0 into 1.0 3.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.239 * [taylor]: Taking taylor expansion of x in x 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (* 1 1) into 1 3.240 * [backup-simplify]: Simplify (/ 1 1) into 1 3.240 * [backup-simplify]: Simplify (- 1) into -1 3.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.241 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.243 * [backup-simplify]: Simplify (+ 0 0) into 0 3.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.245 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 3.246 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify (- 0) into 0 3.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.250 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 3.253 * [backup-simplify]: Simplify (+ (* -1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.254 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (- 0) into 0 3.257 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.261 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- 0) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 3.273 * [backup-simplify]: Simplify (+ (* -1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* (- 1.0) (sqrt -1)))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 3.278 * [backup-simplify]: Simplify (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 3.286 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 (- x))) (* -1 (sqrt -1)))) into (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) 3.286 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 3.287 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.287 * [approximate]: Taking taylor expansion of (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) in (x) around 0 3.287 * [taylor]: Taking taylor expansion of (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) in x 3.287 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.287 * [taylor]: Taking taylor expansion of (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) in x 3.288 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.288 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.289 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) (+ (/ 1 x) 1.0)))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.289 * [approximate]: Taking taylor expansion of (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 3.289 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.290 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.290 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.290 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.291 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 (/ 1 x)) 1.0)) (sqrt (- 1.0 (/ 1 (pow (/ 1 x) 2))))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.292 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) (+ (/ 1 (- x)) 1.0)))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.292 * [approximate]: Taking taylor expansion of (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 3.292 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.293 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.293 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.293 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.294 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 (/ 1 (- x))))) (sqrt (- 1.0 (/ 1 (pow (/ 1 (- x)) 2))))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.294 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 3.295 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* x x))) into (sqrt (- 1.0 (pow x 2))) 3.295 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 3.295 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.295 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.295 * [taylor]: Taking taylor expansion of 1.0 in x 3.295 * [backup-simplify]: Simplify 1.0 into 1.0 3.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.297 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.298 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.298 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.298 * [taylor]: Taking taylor expansion of 1.0 in x 3.298 * [backup-simplify]: Simplify 1.0 into 1.0 3.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.298 * [taylor]: Taking taylor expansion of x in x 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.299 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.299 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.301 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (* 1 1) into 1 3.301 * [backup-simplify]: Simplify (- 1) into -1 3.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.305 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.306 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 3.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.307 * [backup-simplify]: Simplify (- 0) into 0 3.307 * [backup-simplify]: Simplify (+ 0 0) into 0 3.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.309 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.310 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.319 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.323 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 3.323 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 3.323 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 3.323 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.323 * [taylor]: Taking taylor expansion of 1.0 in x 3.323 * [backup-simplify]: Simplify 1.0 into 1.0 3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.323 * [taylor]: Taking taylor expansion of x in x 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (* 1 1) into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.325 * [backup-simplify]: Simplify (- 1) into -1 3.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.326 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (- 0) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.328 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.329 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [backup-simplify]: Simplify 1.0 into 1.0 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (* 1 1) into 1 3.329 * [backup-simplify]: Simplify (/ 1 1) into 1 3.330 * [backup-simplify]: Simplify (- 1) into -1 3.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.331 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify (+ 0 0) into 0 3.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.334 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.334 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.341 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.342 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (- 0) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.352 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify (- 0) into 0 3.355 * [backup-simplify]: Simplify (+ 0 0) into 0 3.362 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 3.363 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 3.367 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 3.367 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 3.367 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 3.368 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [backup-simplify]: Simplify 1.0 into 1.0 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [backup-simplify]: Simplify (- 1) into -1 3.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.370 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.373 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.373 * [taylor]: Taking taylor expansion of 1.0 in x 3.373 * [backup-simplify]: Simplify 1.0 into 1.0 3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.373 * [taylor]: Taking taylor expansion of x in x 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (* 1 1) into 1 3.374 * [backup-simplify]: Simplify (/ 1 1) into 1 3.374 * [backup-simplify]: Simplify (- 1) into -1 3.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.375 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (- 0) into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.378 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.378 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (- 0) into 0 3.381 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.384 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.386 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (- 0) into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (- 0) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 3.401 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 3.405 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 3.405 * * * [progress]: simplifying candidates 3.408 * [simplify]: Simplifying: (- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (+ x 1.0))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (/ (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (* (* (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ x 1.0)) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ x 1.0))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ x 1.0))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt 1) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ x 1.0))) (/ (sqrt 1) (sqrt (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ x 1.0))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x 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)) 1) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ x 1.0))) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (+ x 1.0) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ (pow x 3) (pow 1.0 3))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))))) (* (+ x 1.0) (sqrt (+ (* 1.0 1.0) (* x x)))) (log (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (exp (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (* (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (* (* (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))) (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (exp (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt 1) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (sqrt (+ (* 1.0 1.0) (* x x))) (/ 1 2) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (* (sqrt 1.0) (pow x 2)))) (+ (* 1.0 (* (sqrt 1.0) x)) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 3.411 * * [simplify]: iteration 0: 167 enodes 3.472 * * [simplify]: iteration 1: 383 enodes 3.688 * * [simplify]: iteration 2: 1645 enodes 4.183 * * [simplify]: iteration complete: 5002 enodes 4.184 * * [simplify]: Extracting #0: cost 72 inf + 0 4.184 * * [simplify]: Extracting #1: cost 287 inf + 2 4.195 * * [simplify]: Extracting #2: cost 821 inf + 17 4.204 * * [simplify]: Extracting #3: cost 2127 inf + 253 4.217 * * [simplify]: Extracting #4: cost 1277 inf + 5306 4.232 * * [simplify]: Extracting #5: cost 312 inf + 12535 4.245 * * [simplify]: Extracting #6: cost 87 inf + 14886 4.259 * * [simplify]: Extracting #7: cost 9 inf + 15547 4.273 * * [simplify]: Extracting #8: cost 0 inf + 15601 4.289 * [simplify]: Simplified to: (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ x 1.0)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (cbrt (+ 1.0 x)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ 1 (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ 1 (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x))) (/ (+ 1.0 x) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ (pow x 3) (pow 1.0 3))) (/ (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (- x 1.0)) (* (sqrt (+ (pow x 4) (+ (* (* x (* 1.0 1.0)) x) (pow 1.0 4)))) (+ 1.0 x)) (* (+ 1.0 x) (sqrt (+ (* 1.0 1.0) (* x x)))) (log (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (exp (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (* (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (pow (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) 3) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (exp (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (pow (sqrt (- (* 1.0 1.0) (* x x))) 3) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1 (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 6) (pow x 6))) (sqrt (+ (pow x 4) (+ (* (* x (* 1.0 1.0)) x) (pow 1.0 4)))) (sqrt (- (pow 1.0 4) (pow x 4))) (sqrt (+ (* 1.0 1.0) (* x x))) 1/2 (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (- (* 1.0 (- (* (+ (* x x) 1) (sqrt 1.0)) (* (sqrt 1.0) x))) (* (/ (* x x) (sqrt 1.0)) 0.5)) (+ (+ (sqrt -1) (/ (/ 0.5 (* x x)) (sqrt -1))) (- (/ (/ (* 1.0 (sqrt -1)) x) x) (/ (* 1.0 (sqrt -1)) x))) (- (- (/ (* 1.0 (sqrt -1)) x) (/ (/ 0.5 (* x x)) (sqrt -1))) (+ (sqrt -1) (/ (/ (* 1.0 (sqrt -1)) x) x))) (atan (fabs (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x)))) (atan (fabs (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x)))) (atan (fabs (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x)))) (- (- (sqrt 1.0) (/ (/ (* (pow x 4) 1/8) (sqrt 1.0)) 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2)) (- (+ (* x (sqrt -1)) (/ (/ 0.5 x) (sqrt -1))) (/ (/ 0.125 (- (sqrt -1))) (pow x 3))) (- (- (/ (/ 0.125 (- (sqrt -1))) (pow x 3)) (* x (sqrt -1))) (/ (/ 0.5 x) (sqrt -1))) 4.290 * * * [progress]: adding candidates to table 4.880 * * [progress]: iteration 4 / 4 4.880 * * * [progress]: picking best candidate 4.885 * * * * [pick]: Picked # 4.885 * * * [progress]: localizing error 4.929 * * * [progress]: generating rewritten candidates 4.929 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.011 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 5.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 5.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 2) 5.107 * * * [progress]: generating series expansions 5.107 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.107 * [backup-simplify]: Simplify (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x)))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 5.107 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 5.107 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 5.108 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 5.108 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 5.108 * [taylor]: Taking taylor expansion of 1.0 in x 5.108 * [backup-simplify]: Simplify 1.0 into 1.0 5.108 * [taylor]: Taking taylor expansion of x in x 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.108 * [taylor]: Taking taylor expansion of x in x 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [taylor]: Taking taylor expansion of 1.0 in x 5.108 * [backup-simplify]: Simplify 1.0 into 1.0 5.108 * [backup-simplify]: Simplify (- 0) into 0 5.109 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.109 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.109 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 5.109 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.110 * [backup-simplify]: Simplify (- 1) into -1 5.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.110 * [backup-simplify]: Simplify (+ 1 0) into 1 5.112 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 5.113 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 5.113 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 5.113 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 5.113 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 5.113 * [taylor]: Taking taylor expansion of 1.0 in x 5.113 * [backup-simplify]: Simplify 1.0 into 1.0 5.113 * [taylor]: Taking taylor expansion of x in x 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.114 * [taylor]: Taking taylor expansion of x in x 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [taylor]: Taking taylor expansion of 1.0 in x 5.114 * [backup-simplify]: Simplify 1.0 into 1.0 5.114 * [backup-simplify]: Simplify (- 0) into 0 5.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.114 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.115 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 5.115 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.115 * [backup-simplify]: Simplify (- 1) into -1 5.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.116 * [backup-simplify]: Simplify (+ 1 0) into 1 5.117 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 5.119 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 5.119 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.120 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 5.120 * [backup-simplify]: Simplify (- 0) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 5.132 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 5.139 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 5.147 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 5.148 * [backup-simplify]: Simplify (/ (/ (sqrt (- 1.0 (/ 1 x))) (* (cbrt (sqrt (+ (/ 1 x) 1.0))) (cbrt (sqrt (+ (/ 1 x) 1.0))))) (cbrt (sqrt (+ 1.0 (/ 1 x))))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 5.148 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 5.148 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 5.148 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 5.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.148 * [taylor]: Taking taylor expansion of 1.0 in x 5.148 * [backup-simplify]: Simplify 1.0 into 1.0 5.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.148 * [taylor]: Taking taylor expansion of x in x 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 1 into 1 5.149 * [backup-simplify]: Simplify (/ 1 1) into 1 5.149 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.149 * [taylor]: Taking taylor expansion of x in x 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.149 * [backup-simplify]: Simplify (/ 1 1) into 1 5.149 * [taylor]: Taking taylor expansion of 1.0 in x 5.149 * [backup-simplify]: Simplify 1.0 into 1.0 5.150 * [backup-simplify]: Simplify (- 1) into -1 5.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.151 * [backup-simplify]: Simplify (+ 1 0) into 1 5.151 * [backup-simplify]: Simplify (/ -1 1) into -1 5.151 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.153 * [backup-simplify]: Simplify (- 0) into 0 5.153 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.155 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.157 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 5.159 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 5.159 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 5.159 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 5.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.159 * [taylor]: Taking taylor expansion of 1.0 in x 5.159 * [backup-simplify]: Simplify 1.0 into 1.0 5.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.159 * [taylor]: Taking taylor expansion of x in x 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.159 * [taylor]: Taking taylor expansion of x in x 5.159 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [taylor]: Taking taylor expansion of 1.0 in x 5.160 * [backup-simplify]: Simplify 1.0 into 1.0 5.160 * [backup-simplify]: Simplify (- 1) into -1 5.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.161 * [backup-simplify]: Simplify (/ -1 1) into -1 5.161 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (- 0) into 0 5.162 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.165 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 5.166 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 5.166 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.166 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 5.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (- 0) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.175 * [backup-simplify]: Simplify (+ 0 0) into 0 5.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 5.181 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 5.184 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 5.186 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 5.186 * [backup-simplify]: Simplify (/ (/ (sqrt (- 1.0 (/ 1 (- x)))) (* (cbrt (sqrt (+ (/ 1 (- x)) 1.0))) (cbrt (sqrt (+ (/ 1 (- x)) 1.0))))) (cbrt (sqrt (+ 1.0 (/ 1 (- x)))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 5.186 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 5.186 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 5.186 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 5.186 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.186 * [taylor]: Taking taylor expansion of x in x 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [taylor]: Taking taylor expansion of 1.0 in x 5.187 * [backup-simplify]: Simplify 1.0 into 1.0 5.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.187 * [taylor]: Taking taylor expansion of 1.0 in x 5.187 * [backup-simplify]: Simplify 1.0 into 1.0 5.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.187 * [taylor]: Taking taylor expansion of x in x 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.188 * [backup-simplify]: Simplify (+ 1 0) into 1 5.188 * [backup-simplify]: Simplify (- 1) into -1 5.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.189 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.189 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify (- 0) into 0 5.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.195 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 5.197 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 5.198 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 5.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 5.198 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.198 * [taylor]: Taking taylor expansion of x in x 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (/ 1 1) into 1 5.198 * [taylor]: Taking taylor expansion of 1.0 in x 5.198 * [backup-simplify]: Simplify 1.0 into 1.0 5.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.198 * [taylor]: Taking taylor expansion of 1.0 in x 5.198 * [backup-simplify]: Simplify 1.0 into 1.0 5.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.198 * [taylor]: Taking taylor expansion of x in x 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (/ 1 1) into 1 5.199 * [backup-simplify]: Simplify (+ 1 0) into 1 5.199 * [backup-simplify]: Simplify (- 1) into -1 5.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.200 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.201 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (- 0) into 0 5.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.206 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 5.208 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 5.209 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.210 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 5.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.211 * [backup-simplify]: Simplify (+ 0 0) into 0 5.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (- 0) into 0 5.213 * [backup-simplify]: Simplify (+ 0 0) into 0 5.217 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 5.223 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 5.230 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 5.232 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 5.232 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 5.233 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) into (pow (+ x 1.0) 1/3) 5.233 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 5.233 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.233 * [taylor]: Taking taylor expansion of 1/3 in x 5.233 * [backup-simplify]: Simplify 1/3 into 1/3 5.233 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.233 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.233 * [taylor]: Taking taylor expansion of x in x 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [taylor]: Taking taylor expansion of 1.0 in x 5.233 * [backup-simplify]: Simplify 1.0 into 1.0 5.234 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.234 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.235 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.237 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.237 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.237 * [taylor]: Taking taylor expansion of 1/3 in x 5.237 * [backup-simplify]: Simplify 1/3 into 1/3 5.237 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.237 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.237 * [taylor]: Taking taylor expansion of x in x 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [taylor]: Taking taylor expansion of 1.0 in x 5.237 * [backup-simplify]: Simplify 1.0 into 1.0 5.238 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.238 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.239 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.241 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.241 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 5.243 * [backup-simplify]: Simplify (+ 1 0) into 1 5.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.250 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 5.256 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 5.257 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.273 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.288 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.293 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.300 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow x 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) x) (pow 1.0 1/3))) into (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 5.301 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ (/ 1 x) 1.0))) (cbrt (sqrt (+ (/ 1 x) 1.0)))) into (pow (+ (/ 1 x) 1.0) 1/3) 5.301 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in (x) around 0 5.301 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in x 5.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) 1.0)))) in x 5.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) 1.0))) in x 5.301 * [taylor]: Taking taylor expansion of 1/3 in x 5.301 * [backup-simplify]: Simplify 1/3 into 1/3 5.301 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.301 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.301 * [taylor]: Taking taylor expansion of x in x 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (/ 1 1) into 1 5.301 * [taylor]: Taking taylor expansion of 1.0 in x 5.302 * [backup-simplify]: Simplify 1.0 into 1.0 5.302 * [backup-simplify]: Simplify (+ 1 0) into 1 5.302 * [backup-simplify]: Simplify (log 1) into 0 5.303 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.303 * [backup-simplify]: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) 5.303 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 5.303 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in x 5.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) 1.0)))) in x 5.303 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) 1.0))) in x 5.303 * [taylor]: Taking taylor expansion of 1/3 in x 5.303 * [backup-simplify]: Simplify 1/3 into 1/3 5.303 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.303 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.303 * [taylor]: Taking taylor expansion of x in x 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (/ 1 1) into 1 5.304 * [taylor]: Taking taylor expansion of 1.0 in x 5.304 * [backup-simplify]: Simplify 1.0 into 1.0 5.304 * [backup-simplify]: Simplify (+ 1 0) into 1 5.305 * [backup-simplify]: Simplify (log 1) into 0 5.305 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.305 * [backup-simplify]: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) 5.305 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 5.306 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.320 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.321 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log x)))) into 0.3333333333333333 5.323 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 x) 1/3)) 5.323 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 x) 1/3)) into (* 0.3333333333333333 (pow (/ 1 x) 1/3)) 5.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (+ 0 0) into 0 5.336 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.336 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.337 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.16666666666666666) 5.343 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 x) 1/3)) 5.343 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 x) 1/3)) into (* -0.1111111111111111 (pow (/ 1 x) 1/3)) 5.344 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) 5.344 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ (/ 1 (- x)) 1.0))) (cbrt (sqrt (+ (/ 1 (- x)) 1.0)))) into (pow (- 1.0 (/ 1 x)) 1/3) 5.344 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 5.344 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 5.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 5.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 5.344 * [taylor]: Taking taylor expansion of 1/3 in x 5.345 * [backup-simplify]: Simplify 1/3 into 1/3 5.345 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.345 * [taylor]: Taking taylor expansion of 1.0 in x 5.345 * [backup-simplify]: Simplify 1.0 into 1.0 5.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.345 * [taylor]: Taking taylor expansion of x in x 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (/ 1 1) into 1 5.346 * [backup-simplify]: Simplify (- 1) into -1 5.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.346 * [backup-simplify]: Simplify (log -1) into (log -1) 5.347 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.348 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) 5.348 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 5.348 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 5.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 5.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 5.349 * [taylor]: Taking taylor expansion of 1/3 in x 5.349 * [backup-simplify]: Simplify 1/3 into 1/3 5.349 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.349 * [taylor]: Taking taylor expansion of 1.0 in x 5.349 * [backup-simplify]: Simplify 1.0 into 1.0 5.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.349 * [taylor]: Taking taylor expansion of x in x 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (/ 1 1) into 1 5.350 * [backup-simplify]: Simplify (- 1) into -1 5.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.351 * [backup-simplify]: Simplify (log -1) into (log -1) 5.352 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.352 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) 5.353 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 5.353 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.362 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.363 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.3333333333333333) 5.367 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) 5.368 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) 5.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (- 0) into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.381 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.382 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.383 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.16666666666666666) 5.390 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) 5.391 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) 5.393 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.393 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 5.393 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/6) 5.393 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in (x) around 0 5.393 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.393 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.394 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.394 * [taylor]: Taking taylor expansion of 1/6 in x 5.394 * [backup-simplify]: Simplify 1/6 into 1/6 5.394 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.394 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.394 * [taylor]: Taking taylor expansion of x in x 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [taylor]: Taking taylor expansion of 1.0 in x 5.394 * [backup-simplify]: Simplify 1.0 into 1.0 5.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.395 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.396 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.397 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.397 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.397 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.397 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.397 * [taylor]: Taking taylor expansion of 1/6 in x 5.397 * [backup-simplify]: Simplify 1/6 into 1/6 5.397 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.397 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.398 * [taylor]: Taking taylor expansion of x in x 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 1 into 1 5.398 * [taylor]: Taking taylor expansion of 1.0 in x 5.398 * [backup-simplify]: Simplify 1.0 into 1.0 5.398 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.399 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.399 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.401 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.402 * [backup-simplify]: Simplify (pow 1.0 1/6) into (pow 1.0 1/6) 5.402 * [backup-simplify]: Simplify (+ 1 0) into 1 5.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.410 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (log 1.0))) into 0.16666666666666666 5.416 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.417 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/6)) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.433 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 5.447 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.450 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.459 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) (pow x 2)) (+ (* (* 0.16666666666666666 (pow 1.0 1/6)) x) (pow 1.0 1/6))) into (- (+ (* 0.013888888888888888 (* (pow x 2) (pow 1.0 1/6))) (+ (pow 1.0 1/6) (* 0.16666666666666666 (* x (pow 1.0 1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) 5.459 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/6) 5.459 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in (x) around 0 5.459 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.459 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.459 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.459 * [taylor]: Taking taylor expansion of 1/6 in x 5.459 * [backup-simplify]: Simplify 1/6 into 1/6 5.459 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.459 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.459 * [taylor]: Taking taylor expansion of x in x 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (/ 1 1) into 1 5.459 * [taylor]: Taking taylor expansion of 1.0 in x 5.459 * [backup-simplify]: Simplify 1.0 into 1.0 5.460 * [backup-simplify]: Simplify (+ 1 0) into 1 5.460 * [backup-simplify]: Simplify (log 1) into 0 5.461 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.461 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.461 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.461 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.461 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.461 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.461 * [taylor]: Taking taylor expansion of 1/6 in x 5.461 * [backup-simplify]: Simplify 1/6 into 1/6 5.461 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.461 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.461 * [taylor]: Taking taylor expansion of x in x 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify 1 into 1 5.461 * [backup-simplify]: Simplify (/ 1 1) into 1 5.461 * [taylor]: Taking taylor expansion of 1.0 in x 5.461 * [backup-simplify]: Simplify 1.0 into 1.0 5.462 * [backup-simplify]: Simplify (+ 1 0) into 1 5.462 * [backup-simplify]: Simplify (log 1) into 0 5.462 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.462 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.462 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.462 * [backup-simplify]: Simplify (pow x -1/6) into (pow x -1/6) 5.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.468 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.468 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log x)))) into 0.16666666666666666 5.469 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.470 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 x) 1/6)) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (+ 0 0) into 0 5.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.479 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.479 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.08333333333333333) 5.485 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.485 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 x) 1/6)) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.486 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 x)) 1/6)) (pow (/ 1 x) 2)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 1/6)) (/ 1 x)) (pow (/ 1 x) -1/6))) into (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) 5.486 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/6) 5.486 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in (x) around 0 5.486 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.486 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.486 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.486 * [taylor]: Taking taylor expansion of 1/6 in x 5.487 * [backup-simplify]: Simplify 1/6 into 1/6 5.487 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.487 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.487 * [taylor]: Taking taylor expansion of 1.0 in x 5.487 * [backup-simplify]: Simplify 1.0 into 1.0 5.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.487 * [taylor]: Taking taylor expansion of x in x 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (/ 1 1) into 1 5.488 * [backup-simplify]: Simplify (- 1) into -1 5.488 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.488 * [backup-simplify]: Simplify (log -1) into (log -1) 5.489 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.490 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.490 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.490 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.490 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.490 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.490 * [taylor]: Taking taylor expansion of 1/6 in x 5.490 * [backup-simplify]: Simplify 1/6 into 1/6 5.490 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.490 * [taylor]: Taking taylor expansion of 1.0 in x 5.491 * [backup-simplify]: Simplify 1.0 into 1.0 5.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.491 * [taylor]: Taking taylor expansion of x in x 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.491 * [backup-simplify]: Simplify (- 1) into -1 5.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.492 * [backup-simplify]: Simplify (log -1) into (log -1) 5.493 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.494 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.494 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.495 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify (- 0) into 0 5.496 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.504 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.505 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.16666666666666666) 5.508 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.509 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (- 0) into 0 5.511 * [backup-simplify]: Simplify (+ 0 0) into 0 5.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.523 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.525 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.08333333333333333) 5.532 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.532 * [backup-simplify]: Simplify (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.534 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/6 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 2) 5.535 * [backup-simplify]: Simplify (cbrt (sqrt (+ x 1.0))) into (pow (+ x 1.0) 1/6) 5.535 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in (x) around 0 5.535 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.535 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.535 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.535 * [taylor]: Taking taylor expansion of 1/6 in x 5.535 * [backup-simplify]: Simplify 1/6 into 1/6 5.535 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.535 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.535 * [taylor]: Taking taylor expansion of x in x 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.535 * [taylor]: Taking taylor expansion of 1.0 in x 5.535 * [backup-simplify]: Simplify 1.0 into 1.0 5.535 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.536 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.537 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.538 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.538 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.538 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.538 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.539 * [taylor]: Taking taylor expansion of 1/6 in x 5.539 * [backup-simplify]: Simplify 1/6 into 1/6 5.539 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.539 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.539 * [taylor]: Taking taylor expansion of x in x 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [taylor]: Taking taylor expansion of 1.0 in x 5.539 * [backup-simplify]: Simplify 1.0 into 1.0 5.539 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.540 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.541 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.542 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.543 * [backup-simplify]: Simplify (pow 1.0 1/6) into (pow 1.0 1/6) 5.543 * [backup-simplify]: Simplify (+ 1 0) into 1 5.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.550 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (log 1.0))) into 0.16666666666666666 5.556 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.557 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/6)) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.558 * [backup-simplify]: Simplify (+ 0 0) into 0 5.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.573 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 5.589 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.597 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.601 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) (pow x 2)) (+ (* (* 0.16666666666666666 (pow 1.0 1/6)) x) (pow 1.0 1/6))) into (- (+ (* 0.013888888888888888 (* (pow x 2) (pow 1.0 1/6))) (+ (pow 1.0 1/6) (* 0.16666666666666666 (* x (pow 1.0 1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) 5.601 * [backup-simplify]: Simplify (cbrt (sqrt (+ (/ 1 x) 1.0))) into (pow (+ (/ 1 x) 1.0) 1/6) 5.601 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in (x) around 0 5.601 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.601 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.601 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.601 * [taylor]: Taking taylor expansion of 1/6 in x 5.601 * [backup-simplify]: Simplify 1/6 into 1/6 5.601 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.601 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.601 * [taylor]: Taking taylor expansion of x in x 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (/ 1 1) into 1 5.602 * [taylor]: Taking taylor expansion of 1.0 in x 5.602 * [backup-simplify]: Simplify 1.0 into 1.0 5.602 * [backup-simplify]: Simplify (+ 1 0) into 1 5.602 * [backup-simplify]: Simplify (log 1) into 0 5.602 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.603 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.603 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.603 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.603 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.603 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.603 * [taylor]: Taking taylor expansion of 1/6 in x 5.603 * [backup-simplify]: Simplify 1/6 into 1/6 5.603 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.603 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.603 * [taylor]: Taking taylor expansion of x in x 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [taylor]: Taking taylor expansion of 1.0 in x 5.603 * [backup-simplify]: Simplify 1.0 into 1.0 5.603 * [backup-simplify]: Simplify (+ 1 0) into 1 5.604 * [backup-simplify]: Simplify (log 1) into 0 5.604 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.604 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.604 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.604 * [backup-simplify]: Simplify (pow x -1/6) into (pow x -1/6) 5.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.609 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.609 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log x)))) into 0.16666666666666666 5.611 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.611 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 x) 1/6)) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.612 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.619 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.619 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.08333333333333333) 5.622 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.623 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 x) 1/6)) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.623 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 x)) 1/6)) (pow (/ 1 x) 2)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 1/6)) (/ 1 x)) (pow (/ 1 x) -1/6))) into (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) 5.624 * [backup-simplify]: Simplify (cbrt (sqrt (+ (/ 1 (- x)) 1.0))) into (pow (- 1.0 (/ 1 x)) 1/6) 5.624 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in (x) around 0 5.624 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.624 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.624 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.624 * [taylor]: Taking taylor expansion of 1/6 in x 5.624 * [backup-simplify]: Simplify 1/6 into 1/6 5.624 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.624 * [taylor]: Taking taylor expansion of 1.0 in x 5.624 * [backup-simplify]: Simplify 1.0 into 1.0 5.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.624 * [taylor]: Taking taylor expansion of x in x 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [backup-simplify]: Simplify (- 1) into -1 5.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.626 * [backup-simplify]: Simplify (log -1) into (log -1) 5.627 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.627 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.628 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.628 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.628 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.628 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.628 * [taylor]: Taking taylor expansion of 1/6 in x 5.628 * [backup-simplify]: Simplify 1/6 into 1/6 5.628 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.628 * [taylor]: Taking taylor expansion of 1.0 in x 5.628 * [backup-simplify]: Simplify 1.0 into 1.0 5.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.628 * [taylor]: Taking taylor expansion of x in x 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [backup-simplify]: Simplify (/ 1 1) into 1 5.629 * [backup-simplify]: Simplify (- 1) into -1 5.629 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.630 * [backup-simplify]: Simplify (log -1) into (log -1) 5.630 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.631 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.631 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.632 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.633 * [backup-simplify]: Simplify (- 0) into 0 5.634 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.642 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.643 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.16666666666666666) 5.645 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.646 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (- 0) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.654 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.654 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.655 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.08333333333333333) 5.660 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.660 * [backup-simplify]: Simplify (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.661 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/6 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.661 * * * [progress]: simplifying candidates 5.670 * [simplify]: Simplifying: (- (- (log (sqrt (- 1.0 x))) (+ (log (cbrt (sqrt (+ x 1.0)))) (log (cbrt (sqrt (+ x 1.0)))))) (log (cbrt (sqrt (+ 1.0 x))))) (- (- (log (sqrt (- 1.0 x))) (log (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (log (cbrt (sqrt (+ 1.0 x))))) (- (log (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (log (cbrt (sqrt (+ 1.0 x))))) (log (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (exp (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (/ (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (sqrt (+ 1.0 x))) (/ (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 x))) (/ (* (* (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 x))) (* (cbrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (cbrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x)))))) (cbrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (* (* (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x)))) (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (- (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (- (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (cbrt (sqrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (cbrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt 1))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt 1))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt 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0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.680 * * [simplify]: iteration 0: 525 enodes 5.884 * * [simplify]: iteration 1: 1266 enodes 6.211 * * [simplify]: iteration complete: 5001 enodes 6.212 * * [simplify]: Extracting #0: cost 234 inf + 0 6.222 * * [simplify]: Extracting #1: cost 1327 inf + 3 6.228 * * [simplify]: Extracting #2: cost 1933 inf + 116 6.235 * * [simplify]: Extracting #3: cost 2068 inf + 668 6.245 * * [simplify]: Extracting #4: cost 1425 inf + 7485 6.259 * * [simplify]: Extracting #5: cost 523 inf + 21278 6.273 * * [simplify]: Extracting #6: cost 199 inf + 28068 6.288 * * [simplify]: Extracting #7: cost 80 inf + 29905 6.295 * * [simplify]: Extracting #8: cost 25 inf + 30488 6.303 * * [simplify]: Extracting #9: cost 0 inf + 30871 6.313 * [simplify]: Simplified to: (log (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (log (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (log (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (log (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (exp (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (/ (pow (sqrt (- 1.0 x)) 3) (* (sqrt (+ 1.0 x)) (+ 1.0 x))) (/ (pow (/ (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) 3) (sqrt (+ 1.0 x))) (/ (pow (/ (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x)))) 3) (sqrt (+ 1.0 x))) (* (cbrt (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (cbrt (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3)))) (cbrt (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (pow (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3)) 3) (sqrt (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (sqrt (/ (sqrt (- 1.0 x)) (pow (cbrt (sqrt (+ 1.0 x))) 3))) (/ (- (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) 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(exp (* 1/6 (- (log -1) (log (/ -1 x))))) 0.06944444444444445) (pow x 2)))) 6.320 * * * [progress]: adding candidates to table 8.199 * [progress]: [Phase 3 of 3] Extracting. 8.199 * * [regime]: Finding splitpoints for: (# #) 8.200 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.200 * * * * [regimes]: Trying to branch on x from (# #) 8.229 * * * [regime]: Found split indices: #