0.830 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.119 * * * [progress]: [2/2] Setting up program. 0.126 * [progress]: [Phase 2 of 3] Improving. 0.127 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.130 * [simplify]: Simplifying: (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 0.175 * * [simplify]: iteration 1: (9 enodes) 0.183 * * [simplify]: iteration 2: (16 enodes) 0.190 * * [simplify]: iteration 3: (19 enodes) 0.195 * * [simplify]: iteration 4: (21 enodes) 0.200 * * [simplify]: Extracting #0: cost 1 inf + 0 0.201 * * [simplify]: Extracting #1: cost 3 inf + 0 0.201 * * [simplify]: Extracting #2: cost 3 inf + 1 0.201 * * [simplify]: Extracting #3: cost 4 inf + 1 0.201 * * [simplify]: Extracting #4: cost 9 inf + 1 0.201 * * [simplify]: Extracting #5: cost 12 inf + 1 0.201 * * [simplify]: Extracting #6: cost 8 inf + 86 0.202 * * [simplify]: Extracting #7: cost 3 inf + 536 0.202 * * [simplify]: Extracting #8: cost 1 inf + 965 0.202 * * [simplify]: Extracting #9: cost 0 inf + 1273 0.203 * [simplify]: Simplified to: (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0.211 * * [progress]: iteration 1 / 4 0.211 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.232 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.233 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.257 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.274 * * * [progress]: generating series expansions 0.283 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.287 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.287 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 0.290 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.290 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 0.290 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.290 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.291 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.291 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 0.291 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.291 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 0.291 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.291 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.292 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.292 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 0.292 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.292 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 0.292 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.292 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 0.293 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.293 * [backup-simplify]: Simplify (/ (- 1 x) (+ 1 x)) into (/ (- 1 x) (+ x 1)) 0.293 * [approximate]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.293 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.293 * [taylor]: Taking taylor expansion of 1 in x 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of 1 in x 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [backup-simplify]: Simplify (+ 0 1) into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.295 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.295 * [taylor]: Taking taylor expansion of 1 in x 0.295 * [backup-simplify]: Simplify 1 into 1 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) 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 in x 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (+ 0 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (- 1) into -1 0.299 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.301 * [backup-simplify]: Simplify -2 into -2 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 0.303 * [backup-simplify]: Simplify 2 into 2 0.304 * [backup-simplify]: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) 0.304 * [backup-simplify]: Simplify (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) into (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) 0.304 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.304 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of 1 in x 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.307 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [backup-simplify]: Simplify (/ -1 1) into -1 0.308 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.308 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of 1 in x 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (- 1) into -1 0.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.310 * [backup-simplify]: Simplify (/ -1 1) into -1 0.310 * [backup-simplify]: Simplify -1 into -1 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 1 0) into 1 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.314 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.314 * [backup-simplify]: Simplify 2 into 2 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 0.318 * [backup-simplify]: Simplify -2 into -2 0.318 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 0.319 * [backup-simplify]: Simplify (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) 0.319 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in (x) around 0 0.319 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of 1 in x 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of 1 in x 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (- 1) into -1 0.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.321 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of 1 in x 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of 1 in x 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (- 1) into -1 0.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.324 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.324 * [backup-simplify]: Simplify -1 into -1 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.328 * [backup-simplify]: Simplify -2 into -2 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 0.332 * [backup-simplify]: Simplify -2 into -2 0.332 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 0.332 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.332 * [backup-simplify]: Simplify (sqrt (/ (- 1 x) (+ 1 x))) into (sqrt (/ (- 1 x) (+ x 1))) 0.332 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 0.332 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.332 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.332 * [taylor]: Taking taylor expansion of 1 in x 0.332 * [backup-simplify]: Simplify 1 into 1 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 * [taylor]: Taking taylor expansion of (+ x 1) 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 * [taylor]: Taking taylor expansion of 1 in x 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.338 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 0.338 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 0.338 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 0.338 * [taylor]: Taking taylor expansion of (- 1 x) in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [backup-simplify]: Simplify (+ 0 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (sqrt 1) into 1 0.341 * [backup-simplify]: Simplify (- 1) into -1 0.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.342 * [backup-simplify]: Simplify (+ 1 0) into 1 0.343 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 0.343 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify -1 into -1 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 0.347 * [backup-simplify]: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 0.347 * [backup-simplify]: Simplify 1/2 into 1/2 0.347 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 0.347 * [backup-simplify]: Simplify (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) into (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) 0.347 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 0.348 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.348 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (- 1) into -1 0.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.349 * [backup-simplify]: Simplify (+ 1 0) into 1 0.349 * [backup-simplify]: Simplify (/ -1 1) into -1 0.350 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 1) into 1 0.352 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.353 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 0.353 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 0.353 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 0.353 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of 1 in x 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (- 1) into -1 0.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (/ -1 1) into -1 0.355 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 0.358 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 0.358 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.359 * [backup-simplify]: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 0.364 * [backup-simplify]: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 0.364 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 0.366 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 0.366 * [backup-simplify]: Simplify (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) 0.366 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 0.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) 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 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.366 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (- 1) into -1 0.367 * [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) 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 1) into 1 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.371 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 0.371 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.373 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.373 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 1 0) into 1 0.376 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 0.377 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 0.378 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.379 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 0.386 * [backup-simplify]: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 0.387 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 0.390 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 0.390 * * * [progress]: simplifying candidates 0.390 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 0.390 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 0.390 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 0.390 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 0.390 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 0.390 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 11 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 16 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 0.391 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 32 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 0.392 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 48 / 109 ] simplifiying candidate # 0.393 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 0.394 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 0.395 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 0.396 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 96 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 97 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 0.397 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 0.398 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 0.398 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 0.412 * [simplify]: Simplifying: (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (- (log (- 1 x)) (log (+ 1 x))) (log (/ (- 1 x) (+ 1 x))) (exp (/ (- 1 x) (+ 1 x))) (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))) (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x))) (- (- 1 x)) (- (+ 1 x)) (/ 1 (+ 1 x)) (/ x (+ 1 x)) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (/ (cbrt (- 1 x)) (+ 1 x)) (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) 1) (/ (sqrt (- 1 x)) (+ 1 x)) (/ (sqrt (- 1 x)) 1) (/ (sqrt (- 1 x)) (+ 1 x)) (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt 1) (sqrt x)) (cbrt (+ 1 x))) (/ (+ (sqrt 1) (sqrt x)) (sqrt (+ 1 x))) (/ (- (sqrt 1) (sqrt x)) (sqrt (+ 1 x))) (/ (+ (sqrt 1) (sqrt x)) 1) (/ (- (sqrt 1) (sqrt x)) (+ 1 x)) (/ (+ (sqrt 1) (sqrt x)) 1) (/ (- (sqrt 1) (sqrt x)) (+ 1 x)) (/ (+ 1 (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 (sqrt x)) (cbrt (+ 1 x))) (/ (+ 1 (sqrt x)) (sqrt (+ 1 x))) (/ (- 1 (sqrt x)) (sqrt (+ 1 x))) (/ (+ 1 (sqrt x)) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ (+ 1 (sqrt x)) 1) (/ (- 1 (sqrt x)) (+ 1 x)) (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ 1 x))) (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x))) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 1) (/ (- 1 x) (+ 1 x)) (/ 1 (+ 1 x)) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (sqrt (+ 1 x))) (/ (- 1 x) 1) (/ (- 1 x) 1) (/ (+ 1 x) (cbrt (- 1 x))) (/ (+ 1 x) (sqrt (- 1 x))) (/ (+ 1 x) (- 1 x)) (/ (+ 1 x) (- (sqrt 1) (sqrt x))) (/ (+ 1 x) (- 1 (sqrt x))) (/ (+ 1 x) (- 1 x)) (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (/ (- 1 x) (- (* 1 1) (* x x))) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) (* (+ 1 x) (+ 1 x)) (log (sqrt (/ (- 1 x) (+ 1 x)))) (exp (sqrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (* (* (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (- 1 x)) 1)) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (/ (sqrt (- 1 x)) 1)) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (+ (sqrt 1) (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- (sqrt 1) (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ (sqrt 1) (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (- (sqrt 1) (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (+ (sqrt 1) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1) (sqrt x)) (+ 1 x))) (sqrt (/ (+ (sqrt 1) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1) (sqrt x)) (+ 1 x))) (sqrt (/ (+ 1 (sqrt x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ 1 x)))) (sqrt (/ (+ 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ 1 x)))) (sqrt (/ (+ 1 (sqrt x)) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ (+ 1 (sqrt x)) 1)) (sqrt (/ (- 1 (sqrt x)) (+ 1 x))) (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))) (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) (sqrt (- 1 x)) (sqrt (- 1 x)) (sqrt (+ 1 x)) (/ 1 2) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (- (+ (* 2 (pow x 2)) 1) (* 2 x)) (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 0.416 * * [simplify]: iteration 1: (165 enodes) 0.508 * * [simplify]: iteration 2: (326 enodes) 0.729 * * [simplify]: iteration 3: (707 enodes) 1.759 * * [simplify]: Extracting #0: cost 89 inf + 0 1.760 * * [simplify]: Extracting #1: cost 324 inf + 2 1.766 * * [simplify]: Extracting #2: cost 480 inf + 7977 1.776 * * [simplify]: Extracting #3: cost 147 inf + 59408 1.793 * * [simplify]: Extracting #4: cost 7 inf + 88540 1.827 * * [simplify]: Extracting #5: cost 4 inf + 89317 1.860 * * [simplify]: Extracting #6: cost 0 inf + 90245 1.892 * [simplify]: Simplified to: (log (atan (sqrt (/ (- 1 x) (+ x 1))))) (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (* (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) (atan (sqrt (/ (- 1 x) (+ x 1))))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (log (/ (- 1 x) (+ x 1))) (log (/ (- 1 x) (+ x 1))) (exp (/ (- 1 x) (+ x 1))) (* (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1))) (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ x 1))) (* (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1))) (sqrt (/ (- 1 x) (+ x 1))) (sqrt (/ (- 1 x) (+ x 1))) (+ x -1) (- -1 x) (/ 1 (+ x 1)) (/ x (+ x 1)) (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ x 1)) (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ x 1)) (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1)) (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1)) (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ x 1))) (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ x 1))) 1 (/ (- 1 x) (+ x 1)) 1 (/ (- 1 x) (+ x 1)) (/ (+ (sqrt x) 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- 1 (sqrt x)) (cbrt (+ x 1))) (/ (+ (sqrt x) 1) (sqrt (+ x 1))) (/ (- 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ x 1)) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ x 1)) (/ (+ (sqrt x) 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- 1 (sqrt x)) (cbrt (+ x 1))) (/ (+ (sqrt x) 1) (sqrt (+ x 1))) (/ (- 1 (sqrt x)) (sqrt (+ x 1))) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ x 1)) (+ (sqrt x) 1) (/ (- 1 (sqrt x)) (+ x 1)) (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ x 1))) (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ x 1))) 1 (/ (- 1 x) (+ x 1)) 1 (/ (- 1 x) (+ x 1)) (/ 1 (+ x 1)) (/ (+ x 1) (- 1 x)) (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (sqrt (+ x 1))) (- 1 x) (- 1 x) (/ (+ x 1) (cbrt (- 1 x))) (/ (+ x 1) (sqrt (- 1 x))) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 (sqrt x))) (/ (+ x 1) (- 1 (sqrt x))) (/ (+ x 1) (- 1 x)) (/ (- 1 x) (+ (* (* x x) x) 1)) (/ (- 1 x) (- 1 (* x x))) (+ (* (* (+ x 1) x) (+ x 1)) (+ x 1)) (* (+ x 1) (+ x 1)) (log (sqrt (/ (- 1 x) (+ x 1)))) (exp (sqrt (/ (- 1 x) (+ x 1)))) (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))) (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ x 1))) (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ x 1))) (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ x 1))) (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ x 1))) (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (sqrt (/ (- 1 x) (cbrt (+ x 1)))) (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ x 1)))) 1 (sqrt (/ (- 1 x) (+ x 1))) 1 (sqrt (/ (- 1 x) (+ x 1))) (sqrt (/ (+ (sqrt x) 1) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ x 1)))) (sqrt (/ (+ (sqrt x) 1) (sqrt (+ x 1)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ x 1))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ x 1))) (sqrt (/ (+ (sqrt x) 1) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (- 1 (sqrt x)) (cbrt (+ x 1)))) (sqrt (/ (+ (sqrt x) 1) (sqrt (+ x 1)))) (sqrt (/ (- 1 (sqrt x)) (sqrt (+ x 1)))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ x 1))) (sqrt (+ (sqrt x) 1)) (sqrt (/ (- 1 (sqrt x)) (+ x 1))) (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (sqrt (/ (- 1 x) (cbrt (+ x 1)))) (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ x 1)))) 1 (sqrt (/ (- 1 x) (+ x 1))) 1 (sqrt (/ (- 1 x) (+ x 1))) 1 (sqrt (/ (- 1 x) (+ x 1))) (sqrt (- 1 x)) (sqrt (/ 1 (+ x 1))) (sqrt (/ (- 1 x) (+ (* (* x x) x) 1))) (sqrt (+ (- 1 x) (* x x))) (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)) (sqrt (- 1 x)) (sqrt (+ x 1)) 1/2 (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1 (* x (- (* x 2) 2))) (+ -1 (- (/ 2 x) (/ 2 (* x x)))) (+ -1 (- (/ 2 x) (/ 2 (* x x)))) (+ (* (* x x) 1/2) (- 1 x)) (+ (- (sqrt -1) (/ (/ 1/2 (* x x)) (sqrt -1))) (/ (/ 1 (sqrt -1)) x)) (+ (- (sqrt -1) (/ (/ 1/2 (* x x)) (sqrt -1))) (/ (/ 1 (sqrt -1)) x)) 1.900 * * * [progress]: adding candidates to table 2.864 * * [progress]: iteration 2 / 4 2.864 * * * [progress]: picking best candidate 2.870 * * * * [pick]: Picked # 2.870 * * * [progress]: localizing error 2.904 * * * [progress]: generating rewritten candidates 2.904 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.915 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.916 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 2.942 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.964 * * * [progress]: generating series expansions 2.964 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.964 * [backup-simplify]: Simplify (log (sqrt (/ (- 1 x) (+ 1 x)))) into (log (sqrt (/ (- 1 x) (+ x 1)))) 2.965 * [approximate]: Taking taylor expansion of (log (sqrt (/ (- 1 x) (+ x 1)))) in (x) around 0 2.965 * [taylor]: Taking taylor expansion of (log (sqrt (/ (- 1 x) (+ x 1)))) in x 2.965 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 2.965 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 2.965 * [taylor]: Taking taylor expansion of (- 1 x) in x 2.965 * [taylor]: Taking taylor expansion of 1 in x 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of (+ x 1) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of 1 in x 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (- 0) into 0 2.966 * [backup-simplify]: Simplify (+ 1 0) into 1 2.967 * [backup-simplify]: Simplify (+ 0 1) into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [backup-simplify]: Simplify (sqrt 1) into 1 2.968 * [backup-simplify]: Simplify (- 1) into -1 2.968 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.968 * [backup-simplify]: Simplify (+ 1 0) into 1 2.969 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 2.970 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 2.970 * [backup-simplify]: Simplify (log 1) into 0 2.971 * [taylor]: Taking taylor expansion of (log (sqrt (/ (- 1 x) (+ x 1)))) in x 2.971 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 2.971 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 2.971 * [taylor]: Taking taylor expansion of (- 1 x) in x 2.971 * [taylor]: Taking taylor expansion of 1 in x 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [taylor]: Taking taylor expansion of x in x 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [taylor]: Taking taylor expansion of (+ x 1) in x 2.971 * [taylor]: Taking taylor expansion of x in x 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [taylor]: Taking taylor expansion of 1 in x 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.972 * [backup-simplify]: Simplify (+ 1 0) into 1 2.972 * [backup-simplify]: Simplify (+ 0 1) into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [backup-simplify]: Simplify (sqrt 1) into 1 2.973 * [backup-simplify]: Simplify (- 1) into -1 2.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.974 * [backup-simplify]: Simplify (+ 1 0) into 1 2.975 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 2.976 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 2.977 * [backup-simplify]: Simplify (log 1) into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.978 * [backup-simplify]: Simplify -1 into -1 2.980 * [backup-simplify]: Simplify (- 0) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 2.982 * [backup-simplify]: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 2.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify (- 0) into 0 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 2.997 * [backup-simplify]: Simplify (/ (- -2 (+ (* 2 (* -1 1/2)))) (* 2 1)) into -1/2 3.003 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/2) 1)) (pow 1 1)))) 6) into -1/3 3.003 * [backup-simplify]: Simplify -1/3 into -1/3 3.004 * [backup-simplify]: Simplify (- 0) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 3.008 * [backup-simplify]: Simplify (/ (- 2 (pow 1/2 2) (+ (* 2 (* -1 -1/2)))) (* 2 1)) into 3/8 3.020 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 3/8) 1)) (pow 1 1)))) 24) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (- 0) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 3.025 * [backup-simplify]: Simplify (/ (- -2 (+ (* 2 (* -1 3/8)) (* 2 (* 1/2 -1/2)))) (* 2 1)) into -3/8 3.044 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 -1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 -1) 3) (pow (* 2 1/2) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 -1) 1) (pow (* 2 1/2) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 -1) 2) 1 (pow (* 6 -1/2) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 1/2) 1) (pow (* 6 -1/2) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 -1) 1) 1 1 (pow (* 24 3/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 -3/8) 1)) (pow 1 1)))) 120) into -1/5 3.044 * [backup-simplify]: Simplify -1/5 into -1/5 3.045 * [backup-simplify]: Simplify (+ (* -1/5 (pow x 5)) (+ (* -1/3 (pow x 3)) (* -1 x))) into (- (+ x (+ (* 1/3 (pow x 3)) (* 1/5 (pow x 5))))) 3.045 * [backup-simplify]: Simplify (log (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (log (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.046 * [approximate]: Taking taylor expansion of (log (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in (x) around 0 3.046 * [taylor]: Taking taylor expansion of (log (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 3.046 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 3.046 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.046 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.046 * [taylor]: Taking taylor expansion of 1 in x 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.046 * [taylor]: Taking taylor expansion of x in x 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (/ 1 1) into 1 3.046 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.046 * [taylor]: Taking taylor expansion of x in x 3.046 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (/ 1 1) into 1 3.047 * [taylor]: Taking taylor expansion of 1 in x 3.047 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (- 1) into -1 3.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.048 * [backup-simplify]: Simplify (+ 1 0) into 1 3.049 * [backup-simplify]: Simplify (/ -1 1) into -1 3.049 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify (+ 1 0) into 1 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ 0 1) into 1 3.052 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 3.054 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 3.054 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 3.054 * [taylor]: Taking taylor expansion of (log (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 3.055 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 3.055 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.055 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.055 * [taylor]: Taking taylor expansion of 1 in x 3.055 * [backup-simplify]: Simplify 1 into 1 3.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.055 * [taylor]: Taking taylor expansion of x in x 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (/ 1 1) into 1 3.055 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.055 * [taylor]: Taking taylor expansion of x in x 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (/ 1 1) into 1 3.056 * [taylor]: Taking taylor expansion of 1 in x 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (- 1) into -1 3.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.057 * [backup-simplify]: Simplify (+ 1 0) into 1 3.058 * [backup-simplify]: Simplify (/ -1 1) into -1 3.058 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (- 0) into 0 3.060 * [backup-simplify]: Simplify (+ 1 0) into 1 3.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ 0 1) into 1 3.062 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 3.064 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 3.065 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 3.066 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 3.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 1) into -1 3.068 * [backup-simplify]: Simplify -1 into -1 3.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (- 0) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify (+ 0 0) into 0 3.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 3.075 * [backup-simplify]: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 3.079 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (- 0) into 0 3.081 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 3.087 * [backup-simplify]: Simplify (/ (- 2 (+ (* 2 (* (/ 1 (sqrt -1)) (/ -1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.094 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 (sqrt -1))) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 (/ 1 (sqrt -1))) 1) (pow (* 2 (/ -1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 6) into -1/3 3.094 * [backup-simplify]: Simplify -1/3 into -1/3 3.096 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 x) 3)) (+ (* -1 (/ 1 x)) (log (sqrt -1)))) into (- (log (sqrt -1)) (+ (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 3.096 * [backup-simplify]: Simplify (log (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (log (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.096 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in (x) around 0 3.096 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 3.096 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 3.096 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.096 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.096 * [taylor]: Taking taylor expansion of x in x 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [taylor]: Taking taylor expansion of 1 in x 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.097 * [taylor]: Taking taylor expansion of 1 in x 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.097 * [taylor]: Taking taylor expansion of x in x 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [backup-simplify]: Simplify (+ 1 0) into 1 3.098 * [backup-simplify]: Simplify (- 1) into -1 3.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.099 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.099 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (+ 0 1) into 1 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- 0) into 0 3.102 * [backup-simplify]: Simplify (+ 1 0) into 1 3.102 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 3.104 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 3.105 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 3.105 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 3.105 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 3.105 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.105 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (/ 1 1) into 1 3.105 * [taylor]: Taking taylor expansion of 1 in x 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.106 * [taylor]: Taking taylor expansion of 1 in x 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (/ 1 1) into 1 3.106 * [backup-simplify]: Simplify (+ 1 0) into 1 3.107 * [backup-simplify]: Simplify (- 1) into -1 3.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.108 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.108 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 1) into 1 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (- 0) into 0 3.111 * [backup-simplify]: Simplify (+ 1 0) into 1 3.111 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 3.113 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 3.114 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 3.116 * [backup-simplify]: Simplify (log (sqrt -1)) into (log (sqrt -1)) 3.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ -1 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 1) into 1 3.117 * [backup-simplify]: Simplify 1 into 1 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.120 * [backup-simplify]: Simplify (- 0) into 0 3.120 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 3.125 * [backup-simplify]: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 3.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ -1 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (- 0) into 0 3.132 * [backup-simplify]: Simplify (+ 0 0) into 0 3.133 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 3.143 * [backup-simplify]: Simplify (/ (- -2 (+ (* 2 (* (/ -1 (sqrt -1)) (/ -1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 3.150 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ -1 (sqrt -1))) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 (/ -1 (sqrt -1))) 1) (pow (* 2 (/ -1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (/ -1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 6) into 1/3 3.150 * [backup-simplify]: Simplify 1/3 into 1/3 3.152 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 (- x)) 3)) (+ (* 1 (/ 1 (- x))) (log (sqrt -1)))) into (- (log (sqrt -1)) (+ (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 3.152 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.152 * [backup-simplify]: Simplify (atan (exp (log (sqrt (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.152 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in (x) around 0 3.152 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 3.152 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.152 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x 3.152 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.152 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.153 * [backup-simplify]: Simplify (atan (exp (log (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.153 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in (x) around 0 3.153 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 3.153 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.153 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x 3.153 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.154 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.154 * [backup-simplify]: Simplify (atan (exp (log (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.154 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in (x) around 0 3.154 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 3.155 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.155 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) in x 3.155 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.155 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) 3.155 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 3.156 * [backup-simplify]: Simplify (/ (- 1 x) (+ 1 x)) into (/ (- 1 x) (+ x 1)) 3.156 * [approximate]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in (x) around 0 3.156 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 3.156 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.156 * [taylor]: Taking taylor expansion of 1 in x 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of x in x 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.156 * [taylor]: Taking taylor expansion of x in x 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [taylor]: Taking taylor expansion of 1 in x 3.156 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 1 0) into 1 3.157 * [backup-simplify]: Simplify (+ 0 1) into 1 3.158 * [backup-simplify]: Simplify (/ 1 1) into 1 3.158 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 3.158 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.158 * [taylor]: Taking taylor expansion of 1 in x 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [taylor]: Taking taylor expansion of 1 in x 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (- 0) into 0 3.159 * [backup-simplify]: Simplify (+ 1 0) into 1 3.159 * [backup-simplify]: Simplify (+ 0 1) into 1 3.160 * [backup-simplify]: Simplify (/ 1 1) into 1 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (- 1) into -1 3.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.161 * [backup-simplify]: Simplify (+ 1 0) into 1 3.162 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 3.162 * [backup-simplify]: Simplify -2 into -2 3.162 * [backup-simplify]: Simplify (- 0) into 0 3.162 * [backup-simplify]: Simplify (+ 0 0) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 3.164 * [backup-simplify]: Simplify 2 into 2 3.164 * [backup-simplify]: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) 3.164 * [backup-simplify]: Simplify (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) into (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) 3.165 * [approximate]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in (x) around 0 3.165 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.165 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.165 * [taylor]: Taking taylor expansion of 1 in x 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (/ 1 1) into 1 3.165 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [taylor]: Taking taylor expansion of 1 in x 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (- 1) into -1 3.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.167 * [backup-simplify]: Simplify (+ 1 0) into 1 3.167 * [backup-simplify]: Simplify (/ -1 1) into -1 3.167 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.168 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.168 * [taylor]: Taking taylor expansion of 1 in x 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (/ 1 1) into 1 3.168 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (/ 1 1) into 1 3.169 * [taylor]: Taking taylor expansion of 1 in x 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (- 1) into -1 3.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.170 * [backup-simplify]: Simplify (+ 1 0) into 1 3.170 * [backup-simplify]: Simplify (/ -1 1) into -1 3.170 * [backup-simplify]: Simplify -1 into -1 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.172 * [backup-simplify]: Simplify (+ 1 0) into 1 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ 0 1) into 1 3.174 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 3.174 * [backup-simplify]: Simplify 2 into 2 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 3.178 * [backup-simplify]: Simplify -2 into -2 3.179 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 3.179 * [backup-simplify]: Simplify (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) 3.179 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in (x) around 0 3.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.179 * [taylor]: Taking taylor expansion of x in x 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of 1 in x 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.179 * [taylor]: Taking taylor expansion of 1 in x 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 1 into 1 3.180 * [backup-simplify]: Simplify (/ 1 1) into 1 3.180 * [backup-simplify]: Simplify (+ 1 0) into 1 3.181 * [backup-simplify]: Simplify (- 1) into -1 3.181 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.182 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.182 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.182 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.182 * [taylor]: Taking taylor expansion of x in x 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [backup-simplify]: Simplify (/ 1 1) into 1 3.182 * [taylor]: Taking taylor expansion of 1 in x 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.182 * [taylor]: Taking taylor expansion of 1 in x 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.182 * [taylor]: Taking taylor expansion of x in x 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (/ 1 1) into 1 3.183 * [backup-simplify]: Simplify (+ 1 0) into 1 3.183 * [backup-simplify]: Simplify (- 1) into -1 3.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.184 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.184 * [backup-simplify]: Simplify -1 into -1 3.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 1) into 1 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify (+ 1 0) into 1 3.188 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 3.188 * [backup-simplify]: Simplify -2 into -2 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.191 * [backup-simplify]: Simplify (- 0) into 0 3.191 * [backup-simplify]: Simplify (+ 0 0) into 0 3.192 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 3.192 * [backup-simplify]: Simplify -2 into -2 3.193 * [backup-simplify]: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) 3.193 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.193 * [backup-simplify]: Simplify (exp (log (sqrt (/ (- 1 x) (+ 1 x))))) into (sqrt (/ (- 1 x) (+ x 1))) 3.193 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in (x) around 0 3.193 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 3.193 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 3.193 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.193 * [taylor]: Taking taylor expansion of 1 in x 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [taylor]: Taking taylor expansion of x in x 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.193 * [taylor]: Taking taylor expansion of x in x 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [taylor]: Taking taylor expansion of 1 in x 3.193 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (- 0) into 0 3.195 * [backup-simplify]: Simplify (+ 1 0) into 1 3.195 * [backup-simplify]: Simplify (+ 0 1) into 1 3.196 * [backup-simplify]: Simplify (/ 1 1) into 1 3.196 * [backup-simplify]: Simplify (sqrt 1) into 1 3.196 * [backup-simplify]: Simplify (- 1) into -1 3.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.197 * [backup-simplify]: Simplify (+ 1 0) into 1 3.198 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 3.199 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 3.199 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 x) (+ x 1))) in x 3.199 * [taylor]: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x 3.199 * [taylor]: Taking taylor expansion of (- 1 x) in x 3.199 * [taylor]: Taking taylor expansion of 1 in x 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [taylor]: Taking taylor expansion of x in x 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [taylor]: Taking taylor expansion of (+ x 1) in x 3.199 * [taylor]: Taking taylor expansion of x in x 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [taylor]: Taking taylor expansion of 1 in x 3.199 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (- 0) into 0 3.200 * [backup-simplify]: Simplify (+ 1 0) into 1 3.201 * [backup-simplify]: Simplify (+ 0 1) into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [backup-simplify]: Simplify (sqrt 1) into 1 3.202 * [backup-simplify]: Simplify (- 1) into -1 3.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.203 * [backup-simplify]: Simplify (+ 1 0) into 1 3.203 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 3.204 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt 1))) into -1 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify -1 into -1 3.205 * [backup-simplify]: Simplify (- 0) into 0 3.205 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 3.208 * [backup-simplify]: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 3.208 * [backup-simplify]: Simplify 1/2 into 1/2 3.208 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 3.208 * [backup-simplify]: Simplify (exp (log (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) 3.208 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in (x) around 0 3.208 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 3.208 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.208 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.208 * [taylor]: Taking taylor expansion of 1 in x 3.208 * [backup-simplify]: Simplify 1 into 1 3.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.208 * [taylor]: Taking taylor expansion of x in x 3.208 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify 1 into 1 3.209 * [backup-simplify]: Simplify (/ 1 1) into 1 3.209 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.209 * [taylor]: Taking taylor expansion of x in x 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.209 * [backup-simplify]: Simplify (/ 1 1) into 1 3.209 * [taylor]: Taking taylor expansion of 1 in x 3.209 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (- 1) into -1 3.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.211 * [backup-simplify]: Simplify (+ 1 0) into 1 3.211 * [backup-simplify]: Simplify (/ -1 1) into -1 3.211 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (- 0) into 0 3.213 * [backup-simplify]: Simplify (+ 1 0) into 1 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ 0 1) into 1 3.215 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 3.216 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 3.216 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))) in x 3.216 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x 3.216 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.216 * [taylor]: Taking taylor expansion of 1 in x 3.216 * [backup-simplify]: Simplify 1 into 1 3.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.216 * [taylor]: Taking taylor expansion of x in x 3.216 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.217 * [taylor]: Taking taylor expansion of x in x 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.217 * [taylor]: Taking taylor expansion of 1 in x 3.217 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (- 1) into -1 3.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.219 * [backup-simplify]: Simplify (+ 1 0) into 1 3.219 * [backup-simplify]: Simplify (/ -1 1) into -1 3.219 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify (+ 1 0) into 1 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ 0 1) into 1 3.223 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 3.224 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) 3.225 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.226 * [backup-simplify]: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (- 0) into 0 3.227 * [backup-simplify]: Simplify (+ 0 0) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ 0 0) into 0 3.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 3.233 * [backup-simplify]: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 3.234 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 3.236 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 3.237 * [backup-simplify]: Simplify (exp (log (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) into (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) 3.237 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in (x) around 0 3.237 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 3.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 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 3.237 * [taylor]: Taking taylor expansion of 1 in x 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.237 * [taylor]: Taking taylor expansion of 1 in x 3.237 * [backup-simplify]: Simplify 1 into 1 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 3.238 * [backup-simplify]: Simplify (/ 1 1) into 1 3.238 * [backup-simplify]: Simplify (+ 1 0) into 1 3.239 * [backup-simplify]: Simplify (- 1) into -1 3.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.240 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.240 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.242 * [backup-simplify]: Simplify (+ 0 1) into 1 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.243 * [backup-simplify]: Simplify (+ 1 0) into 1 3.244 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 3.246 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 3.246 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))) in x 3.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))) in x 3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 3.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [backup-simplify]: Simplify (/ 1 1) into 1 3.246 * [taylor]: Taking taylor expansion of 1 in x 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 3.246 * [taylor]: Taking taylor expansion of 1 in x 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (/ 1 1) into 1 3.247 * [backup-simplify]: Simplify (+ 1 0) into 1 3.248 * [backup-simplify]: Simplify (- 1) into -1 3.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.248 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.249 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ 0 1) into 1 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (- 0) into 0 3.252 * [backup-simplify]: Simplify (+ 1 0) into 1 3.252 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 3.254 * [backup-simplify]: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) 3.254 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.255 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (- 0) into 0 3.258 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 3.263 * [backup-simplify]: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/2 (sqrt -1)) 3.264 * [backup-simplify]: Simplify (/ -1/2 (sqrt -1)) into (/ -1/2 (sqrt -1)) 3.266 * [backup-simplify]: Simplify (+ (* (/ -1/2 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))) 3.266 * * * [progress]: simplifying candidates 3.266 * * * * [progress]: [ 1 / 163 ] simplifiying candidate # 3.266 * * * * [progress]: [ 2 / 163 ] simplifiying candidate # 3.266 * * * * [progress]: [ 3 / 163 ] simplifiying candidate # 3.266 * * * * [progress]: [ 4 / 163 ] simplifiying candidate # 3.267 * * * * [progress]: [ 5 / 163 ] 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[progress]: [ 21 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 22 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 23 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 24 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 25 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 26 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 27 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 28 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 29 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 30 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 31 / 163 ] simplifiying candidate # 3.268 * * * * [progress]: [ 32 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 33 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 34 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 35 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 36 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 37 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 38 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 39 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 40 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 41 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 42 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 43 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 44 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 45 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 46 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 47 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 48 / 163 ] simplifiying candidate # 3.269 * * * * [progress]: [ 49 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 50 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 51 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 52 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 53 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 54 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 55 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 56 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 57 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 58 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 59 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 60 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 61 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 62 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 63 / 163 ] simplifiying candidate # 3.270 * * * * [progress]: [ 64 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 65 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 66 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 67 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 68 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 69 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 70 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 71 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 72 / 163 ] simplifiying candidate # 3.271 * * * * [progress]: [ 73 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 74 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 75 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 76 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 77 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 78 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 79 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 80 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 81 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 82 / 163 ] simplifiying candidate # 3.272 * * * * [progress]: [ 83 / 163 ] 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3.276 * * * * [progress]: [ 130 / 163 ] simplifiying candidate # 3.276 * * * * [progress]: [ 131 / 163 ] simplifiying candidate # 3.276 * * * * [progress]: [ 132 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 133 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 134 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 135 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 136 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 137 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 138 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 139 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 140 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 141 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 142 / 163 ] simplifiying candidate # 3.277 * * * * [progress]: [ 143 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 144 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 145 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 146 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 147 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 148 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 149 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 150 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 151 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 152 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 153 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 154 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 155 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 156 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 157 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 158 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 159 / 163 ] simplifiying candidate # 3.278 * * * * [progress]: [ 160 / 163 ] simplifiying candidate # 3.279 * * * * [progress]: [ 161 / 163 ] simplifiying candidate # 3.279 * * * * [progress]: [ 162 / 163 ] simplifiying candidate # 3.279 * * * * [progress]: [ 163 / 163 ] simplifiying candidate # 3.282 * [simplify]: Simplifying: (log (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))))) (log (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (log (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))) (log (sqrt (cbrt (/ (- 1 x) (+ 1 x))))) (log (sqrt (sqrt (/ (- 1 x) (+ 1 x))))) (log (sqrt (sqrt (/ (- 1 x) (+ 1 x))))) (log (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (log (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x))))) (log (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (log (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) (log (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1))) (log (sqrt (/ (cbrt (- 1 x)) (+ 1 x)))) (log (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1))) (log (sqrt (/ (cbrt (- 1 x)) (+ 1 x)))) (log 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-1))) (+ (/ -1/2 (* (sqrt -1) (* x x))) (+ (/ (/ 1 x) (sqrt -1)) (sqrt -1))) 4.884 * * * [progress]: adding candidates to table 6.794 * * [progress]: iteration 3 / 4 6.794 * * * [progress]: picking best candidate 6.796 * * * * [pick]: Picked # 6.796 * * * [progress]: localizing error 6.815 * * * [progress]: generating rewritten candidates 6.815 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 6.816 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 6.829 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 6.856 * * * [progress]: generating series expansions 6.856 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 6.857 * [backup-simplify]: Simplify (atan (+ (* (* x x) 1/2) (- 1 x))) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 6.857 * [approximate]: Taking taylor expansion of (atan (- (+ (* 1/2 (pow x 2)) 1) x)) in (x) around 0 6.857 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (pow x 2)) 1) x)) in x 6.857 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 6.857 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (pow x 2)) 1) x)) in x 6.857 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 6.857 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (pow x 2)) 1) x)) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 6.858 * [backup-simplify]: Simplify (atan (+ (* (* (/ 1 x) (/ 1 x)) 1/2) (- 1 (/ 1 x)))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 6.858 * [approximate]: Taking taylor expansion of (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) in (x) around 0 6.858 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) in x 6.858 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 6.858 * [taylor]: Taking taylor expansion of (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) in x 6.859 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 6.859 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) into (atan (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x))) 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (atan (- (+ (* 1/2 (/ 1 (pow (/ 1 x) 2))) 1) (/ 1 (/ 1 x)))) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 6.860 * [backup-simplify]: Simplify (atan (+ (* (* (/ 1 (- x)) (/ 1 (- x))) 1/2) (- 1 (/ 1 (- x))))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 6.860 * [approximate]: Taking taylor expansion of (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) in (x) around 0 6.860 * [taylor]: Taking taylor expansion of (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) in x 6.860 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 6.860 * [taylor]: Taking taylor expansion of (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) in x 6.860 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 6.861 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) into (atan (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1))) 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify (atan (+ (* 1/2 (/ 1 (pow (/ 1 (- x)) 2))) (+ (/ 1 (/ 1 (- x))) 1))) into (atan (- (+ (* 1/2 (pow x 2)) 1) x)) 6.861 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 6.861 * [backup-simplify]: Simplify (* (* x x) 1/2) into (* 1/2 (pow x 2)) 6.861 * [approximate]: Taking taylor expansion of (* 1/2 (pow x 2)) in (x) around 0 6.861 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 6.861 * [taylor]: Taking taylor expansion of 1/2 in x 6.861 * [backup-simplify]: Simplify 1/2 into 1/2 6.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.861 * [taylor]: Taking taylor expansion of x in x 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 1 into 1 6.862 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 6.862 * [taylor]: Taking taylor expansion of 1/2 in x 6.862 * [backup-simplify]: Simplify 1/2 into 1/2 6.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.862 * [taylor]: Taking taylor expansion of x in x 6.862 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (* 1 1) into 1 6.863 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.863 * [backup-simplify]: Simplify 1/2 into 1/2 6.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.870 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify (* 1/2 (pow x 2)) into (* 1/2 (pow x 2)) 6.879 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) 1/2) into (/ 1/2 (pow x 2)) 6.879 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 6.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.879 * [taylor]: Taking taylor expansion of 1/2 in x 6.879 * [backup-simplify]: Simplify 1/2 into 1/2 6.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.879 * [taylor]: Taking taylor expansion of x in x 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.880 * [backup-simplify]: Simplify (* 1 1) into 1 6.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.880 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.880 * [taylor]: Taking taylor expansion of 1/2 in x 6.880 * [backup-simplify]: Simplify 1/2 into 1/2 6.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.880 * [taylor]: Taking taylor expansion of x in x 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (* 1 1) into 1 6.881 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.881 * [backup-simplify]: Simplify 1/2 into 1/2 6.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.883 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.885 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.889 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 x)) 2)) into (* 1/2 (pow x 2)) 6.895 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) 1/2) into (/ 1/2 (pow x 2)) 6.895 * [approximate]: Taking taylor expansion of (/ 1/2 (pow x 2)) in (x) around 0 6.895 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.895 * [taylor]: Taking taylor expansion of 1/2 in x 6.895 * [backup-simplify]: Simplify 1/2 into 1/2 6.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.895 * [taylor]: Taking taylor expansion of x in x 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (* 1 1) into 1 6.895 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.896 * [taylor]: Taking taylor expansion of (/ 1/2 (pow x 2)) in x 6.896 * [taylor]: Taking taylor expansion of 1/2 in x 6.896 * [backup-simplify]: Simplify 1/2 into 1/2 6.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.896 * [taylor]: Taking taylor expansion of x in x 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (* 1 1) into 1 6.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.897 * [backup-simplify]: Simplify 1/2 into 1/2 6.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.902 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.904 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/2 (pow x 2)) 6.914 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 6.915 * [backup-simplify]: Simplify (+ (* (* x x) 1/2) (- 1 x)) into (- (+ (* 1/2 (pow x 2)) 1) x) 6.915 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (pow x 2)) 1) x) in (x) around 0 6.915 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow x 2)) 1) x) in x 6.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) 1) in x 6.915 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 6.915 * [taylor]: Taking taylor expansion of 1/2 in x 6.915 * [backup-simplify]: Simplify 1/2 into 1/2 6.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.915 * [taylor]: Taking taylor expansion of x in x 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [taylor]: Taking taylor expansion of 1 in x 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [taylor]: Taking taylor expansion of x in x 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (pow x 2)) 1) x) in x 6.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) 1) in x 6.915 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 6.915 * [taylor]: Taking taylor expansion of 1/2 in x 6.915 * [backup-simplify]: Simplify 1/2 into 1/2 6.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.915 * [taylor]: Taking taylor expansion of x in x 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [taylor]: Taking taylor expansion of 1 in x 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [taylor]: Taking taylor expansion of x in x 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.916 * [backup-simplify]: Simplify (+ 0 1) into 1 6.916 * [backup-simplify]: Simplify (- 0) into 0 6.917 * [backup-simplify]: Simplify (+ 1 0) into 1 6.917 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (+ 0 0) into 0 6.918 * [backup-simplify]: Simplify (- 1) into -1 6.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.918 * [backup-simplify]: Simplify -1 into -1 6.919 * [backup-simplify]: Simplify (* 1 1) into 1 6.919 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.920 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.920 * [backup-simplify]: Simplify (- 0) into 0 6.920 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.920 * [backup-simplify]: Simplify 1/2 into 1/2 6.921 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) 6.921 * [backup-simplify]: Simplify (+ (* (* (/ 1 x) (/ 1 x)) 1/2) (- 1 (/ 1 x))) into (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) 6.921 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) in (x) around 0 6.921 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) in x 6.921 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 6.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 6.921 * [taylor]: Taking taylor expansion of 1/2 in x 6.921 * [backup-simplify]: Simplify 1/2 into 1/2 6.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.921 * [taylor]: Taking taylor expansion of x in x 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 1 into 1 6.922 * [backup-simplify]: Simplify (* 1 1) into 1 6.922 * [backup-simplify]: Simplify (/ 1 1) into 1 6.922 * [taylor]: Taking taylor expansion of 1 in x 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.922 * [taylor]: Taking taylor expansion of x in x 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (/ 1 1) into 1 6.923 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow x 2))) 1) (/ 1 x)) in x 6.923 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) 1) in x 6.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 6.923 * [taylor]: Taking taylor expansion of 1/2 in x 6.923 * [backup-simplify]: Simplify 1/2 into 1/2 6.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.923 * [taylor]: Taking taylor expansion of x in x 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (* 1 1) into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [taylor]: Taking taylor expansion of 1 in x 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.924 * [taylor]: Taking taylor expansion of x in x 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.924 * [backup-simplify]: Simplify (/ 1 1) into 1 6.925 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.925 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.926 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.926 * [backup-simplify]: Simplify 1/2 into 1/2 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.928 * [backup-simplify]: Simplify (+ 0 0) into 0 6.928 * [backup-simplify]: Simplify (- 1) into -1 6.929 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.929 * [backup-simplify]: Simplify -1 into -1 6.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.932 * [backup-simplify]: Simplify (+ 0 1) into 1 6.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.933 * [backup-simplify]: Simplify (- 0) into 0 6.934 * [backup-simplify]: Simplify (+ 1 0) into 1 6.934 * [backup-simplify]: Simplify 1 into 1 6.934 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 x))) (* 1/2 (pow (/ 1 (/ 1 x)) 2)))) into (- (+ (* 1/2 (pow x 2)) 1) x) 6.934 * [backup-simplify]: Simplify (+ (* (* (/ 1 (- x)) (/ 1 (- x))) 1/2) (- 1 (/ 1 (- x)))) into (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) 6.934 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) in (x) around 0 6.934 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) in x 6.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 6.934 * [taylor]: Taking taylor expansion of 1/2 in x 6.934 * [backup-simplify]: Simplify 1/2 into 1/2 6.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.934 * [taylor]: Taking taylor expansion of x in x 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (* 1 1) into 1 6.935 * [backup-simplify]: Simplify (/ 1 1) into 1 6.935 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.935 * [taylor]: Taking taylor expansion of x in x 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (/ 1 1) into 1 6.936 * [taylor]: Taking taylor expansion of 1 in x 6.936 * [backup-simplify]: Simplify 1 into 1 6.936 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) in x 6.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 6.936 * [taylor]: Taking taylor expansion of 1/2 in x 6.936 * [backup-simplify]: Simplify 1/2 into 1/2 6.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.936 * [taylor]: Taking taylor expansion of x in x 6.936 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (* 1 1) into 1 6.937 * [backup-simplify]: Simplify (/ 1 1) into 1 6.937 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.937 * [taylor]: Taking taylor expansion of x in x 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 1 into 1 6.937 * [backup-simplify]: Simplify (/ 1 1) into 1 6.937 * [taylor]: Taking taylor expansion of 1 in x 6.937 * [backup-simplify]: Simplify 1 into 1 6.938 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.938 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.938 * [backup-simplify]: Simplify 1/2 into 1/2 6.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.941 * [backup-simplify]: Simplify (+ 1 0) into 1 6.941 * [backup-simplify]: Simplify (+ 0 1) into 1 6.941 * [backup-simplify]: Simplify 1 into 1 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (+ 0 1) into 1 6.946 * [backup-simplify]: Simplify (+ 0 1) into 1 6.946 * [backup-simplify]: Simplify 1 into 1 6.946 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 (- x)))) (* 1/2 (pow (/ 1 (/ 1 (- x))) 2)))) into (- (+ (* 1/2 (pow x 2)) 1) x) 6.946 * * * [progress]: simplifying candidates 6.946 * * * * [progress]: [ 1 / 50 ] simplifiying candidate # 6.946 * * * * [progress]: [ 2 / 50 ] simplifiying candidate # 6.946 * * * * [progress]: [ 3 / 50 ] simplifiying candidate # 6.946 * * * * [progress]: [ 4 / 50 ] simplifiying candidate # 6.946 * * * * [progress]: [ 5 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 6 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 7 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 8 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 9 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 10 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 11 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 12 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 13 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 14 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 15 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 16 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 17 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 18 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 19 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 20 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 21 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 22 / 50 ] simplifiying candidate # 6.947 * * * * [progress]: [ 23 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 24 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 25 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 26 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 27 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 28 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 29 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 30 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 31 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 32 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 33 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 34 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 35 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 36 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 37 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 38 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 39 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 40 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 41 / 50 ] simplifiying candidate # 6.948 * * * * [progress]: [ 42 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 43 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 44 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 45 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 46 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 47 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 48 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 49 / 50 ] simplifiying candidate # 6.949 * * * * [progress]: [ 50 / 50 ] simplifiying candidate # 6.950 * [simplify]: Simplifying: (log (atan (+ (* (* x x) 1/2) (- 1 x)))) (exp (atan (+ (* (* x x) 1/2) (- 1 x)))) (* (cbrt (atan (+ (* (* x x) 1/2) (- 1 x)))) (cbrt (atan (+ (* (* x x) 1/2) (- 1 x))))) (cbrt (atan (+ (* (* x x) 1/2) (- 1 x)))) (* (* (atan (+ (* (* x x) 1/2) (- 1 x))) (atan (+ (* (* x x) 1/2) (- 1 x)))) (atan (+ (* (* x x) 1/2) (- 1 x)))) (sqrt (atan (+ (* (* x x) 1/2) (- 1 x)))) (sqrt (atan (+ (* (* x x) 1/2) (- 1 x)))) (* (* x x) 1/2) (* (* x x) 1/2) (+ (+ (log x) (log x)) (log 1/2)) (+ (log (* x x)) (log 1/2)) (log (* (* x x) 1/2)) (exp (* (* x x) 1/2)) (* (* (* (* x x) x) (* (* x x) x)) (* (* 1/2 1/2) 1/2)) (* (* (* (* x x) (* x x)) (* x x)) (* (* 1/2 1/2) 1/2)) (* (cbrt (* (* x x) 1/2)) (cbrt (* (* x x) 1/2))) (cbrt (* (* x x) 1/2)) (* (* (* (* x x) 1/2) (* (* x x) 1/2)) (* (* x x) 1/2)) (sqrt (* (* x x) 1/2)) (sqrt (* (* x x) 1/2)) (* x (sqrt 1/2)) (* x (sqrt 1/2)) (* (* x x) (* (cbrt 1/2) (cbrt 1/2))) (* (* x x) (sqrt 1/2)) (* (* x x) 1) (* x 1/2) (* (exp (* (* x x) 1/2)) (/ (exp 1) (exp x))) (* (exp (* (* x x) 1/2)) (exp (- 1 x))) (log (+ (* (* x x) 1/2) (- 1 x))) (exp (+ (* (* x x) 1/2) (- 1 x))) (* (cbrt (+ (* (* x x) 1/2) (- 1 x))) (cbrt (+ (* (* x x) 1/2) (- 1 x)))) (cbrt (+ (* (* x x) 1/2) (- 1 x))) (* (* (+ (* (* x x) 1/2) (- 1 x)) (+ (* (* x x) 1/2) (- 1 x))) (+ (* (* x x) 1/2) (- 1 x))) (sqrt (+ (* (* x x) 1/2) (- 1 x))) (sqrt (+ (* (* x x) 1/2) (- 1 x))) (+ (pow (* (* x x) 1/2) 3) (pow (- 1 x) 3)) (+ (* (* (* x x) 1/2) (* (* x x) 1/2)) (- (* (- 1 x) (- 1 x)) (* (* (* x x) 1/2) (- 1 x)))) (- (* (* (* x x) 1/2) (* (* x x) 1/2)) (* (- 1 x) (- 1 x))) (- (* (* x x) 1/2) (- 1 x)) (+ (* (* x x) 1/2) 1) (+ (* (* x x) 1/2) 1) (+ (* (* x x) 1/2) 1) (atan (- (+ (* 1/2 (pow x 2)) 1) x)) (atan (- (+ (* 1/2 (pow x 2)) 1) x)) (atan (- (+ (* 1/2 (pow x 2)) 1) x)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (* 1/2 (pow x 2)) 1) x) (- (+ (* 1/2 (pow x 2)) 1) x) 6.951 * * [simplify]: iteration 1: (74 enodes) 6.968 * * [simplify]: iteration 2: (192 enodes) 7.062 * * [simplify]: iteration 3: (593 enodes) 7.552 * * [simplify]: Extracting #0: cost 31 inf + 0 7.553 * * [simplify]: Extracting #1: cost 199 inf + 0 7.556 * * [simplify]: Extracting #2: cost 399 inf + 13056 7.569 * * [simplify]: Extracting #3: cost 162 inf + 64214 7.592 * * [simplify]: Extracting #4: cost 4 inf + 102595 7.628 * * [simplify]: Extracting #5: cost 0 inf + 104186 7.654 * [simplify]: Simplified to: (log (atan (+ (* 1/2 (* x x)) (- 1 x)))) (exp (atan (+ (* 1/2 (* x x)) (- 1 x)))) (* (cbrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (cbrt (atan (+ (* 1/2 (* x x)) (- 1 x))))) (cbrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (* (* (atan (+ (* 1/2 (* x x)) (- 1 x))) (atan (+ (* 1/2 (* x x)) (- 1 x)))) (atan (+ (* 1/2 (* x x)) (- 1 x)))) (sqrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (sqrt (atan (+ (* 1/2 (* x x)) (- 1 x)))) (* 1/2 (* x x)) (* 1/2 (* x x)) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (log (* 1/2 (* x x))) (sqrt (exp (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/8) (* (* (* (* x x) x) (* (* x x) x)) 1/8) (* (cbrt (* 1/2 (* x x))) (cbrt (* 1/2 (* x x)))) (cbrt (* 1/2 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/8) (sqrt (* 1/2 (* x x))) (sqrt (* 1/2 (* x x))) (* (sqrt 1/2) x) (* (sqrt 1/2) x) (* (* (cbrt 1/2) x) (* (cbrt 1/2) x)) (* x (* x (sqrt 1/2))) (* x x) (* x 1/2) (exp (+ (* 1/2 (* x x)) (- 1 x))) (exp (+ (* 1/2 (* x x)) (- 1 x))) (log (+ (* 1/2 (* x x)) (- 1 x))) (exp (+ (* 1/2 (* x x)) (- 1 x))) (* (cbrt (+ (* 1/2 (* x x)) (- 1 x))) (cbrt (+ (* 1/2 (* x x)) (- 1 x)))) (cbrt (+ (* 1/2 (* x x)) (- 1 x))) (* (+ (* 1/2 (* x x)) (- 1 x)) (* (+ (* 1/2 (* x x)) (- 1 x)) (+ (* 1/2 (* x x)) (- 1 x)))) (sqrt (+ (* 1/2 (* x x)) (- 1 x))) (sqrt (+ (* 1/2 (* x x)) (- 1 x))) (+ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (* (* x x) x) (* (* x x) x)) 1/8)) (+ (* (- 1 x) (- 1 x)) (* (* 1/2 (* x x)) (- (* 1/2 (* x x)) (- 1 x)))) (* (- (* 1/2 (* x x)) (- 1 x)) (+ (* 1/2 (* x x)) (- 1 x))) (- (* 1/2 (* x x)) (- 1 x)) (+ (* 1/2 (* x x)) 1) (+ (* 1/2 (* x x)) 1) (+ (* 1/2 (* x x)) 1) (atan (+ (* 1/2 (* x x)) (- 1 x))) (atan (+ (* 1/2 (* x x)) (- 1 x))) (atan (+ (* 1/2 (* x x)) (- 1 x))) (* 1/2 (* x x)) (* 1/2 (* x x)) (* 1/2 (* x x)) (+ (* 1/2 (* x x)) (- 1 x)) (+ (* 1/2 (* x x)) (- 1 x)) (+ (* 1/2 (* x x)) (- 1 x)) 7.658 * * * [progress]: adding candidates to table 8.079 * [progress]: [Phase 3 of 3] Extracting. 8.079 * * [regime]: Finding splitpoints for: (# #) 8.080 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- 1 x) (+ 1 x)) (sqrt (/ (- 1 x) (+ 1 x))) x) 8.081 * * * * [regimes]: Trying to branch on (/ (- 1 x) (+ 1 x)) from (# #) 8.105 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1 x) (+ 1 x))) from (# #) 8.124 * * * * [regimes]: Trying to branch on x from (# #) 8.159 * * * [regime]: Found split indices: #