92.267 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.093 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.100 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.100 * * [simplify]: iteration 0: 7 enodes 0.103 * * [simplify]: iteration 1: 10 enodes 0.107 * * [simplify]: iteration 2: 11 enodes 0.111 * * [simplify]: iteration complete: 11 enodes 0.111 * * [simplify]: Extracting #0: cost 1 inf + 0 0.111 * * [simplify]: Extracting #1: cost 2 inf + 0 0.112 * * [simplify]: Extracting #2: cost 4 inf + 0 0.112 * * [simplify]: Extracting #3: cost 4 inf + 1 0.112 * * [simplify]: Extracting #4: cost 7 inf + 1 0.112 * * [simplify]: Extracting #5: cost 5 inf + 43 0.112 * * [simplify]: Extracting #6: cost 0 inf + 682 0.112 * [simplify]: Simplified to: (log (+ (sqrt (- (* x x) 1.0)) x)) 0.113 * * [progress]: iteration 1 / 4 0.113 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.209 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.246 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.246 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.246 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.249 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.249 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.251 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.253 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.253 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.256 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.265 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.280 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.285 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.286 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.286 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.287 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.298 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.302 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.302 * [backup-simplify]: Simplify -0.5 into -0.5 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.313 * [backup-simplify]: Simplify -0.125 into -0.125 0.314 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.314 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.314 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (sqrt 1) into 1 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.318 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [backup-simplify]: Simplify 1.0 into 1.0 0.329 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [backup-simplify]: Simplify (sqrt 1) into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.336 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.340 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.340 * [backup-simplify]: Simplify -0.5 into -0.5 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.351 * [backup-simplify]: Simplify -0.125 into -0.125 0.352 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) 0.352 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.352 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.352 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.352 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.353 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.354 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.355 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.357 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.357 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.358 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.359 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.363 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.364 * [backup-simplify]: Simplify (+ 0 1) into 1 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.368 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.371 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.373 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.376 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) 0.376 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.376 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [backup-simplify]: Simplify 1.0 into 1.0 0.378 * [backup-simplify]: Simplify (+ 1 0) into 1 0.378 * [backup-simplify]: Simplify (sqrt 1) into 1 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [backup-simplify]: Simplify (+ 1 0) into 1 0.383 * [backup-simplify]: Simplify (sqrt 1) into 1 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify (+ 1 1) into 2 0.387 * [backup-simplify]: Simplify 2 into 2 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.391 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.395 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.397 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.412 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.414 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.414 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.414 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.416 * [backup-simplify]: Simplify (+ 1 0) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [backup-simplify]: Simplify 1.0 into 1.0 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (sqrt 1) into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (- 1) into -1 0.425 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.430 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.433 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.436 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.451 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.471 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.473 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.473 * * * [progress]: simplifying candidates 0.474 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.476 * * [simplify]: iteration 0: 91 enodes 0.532 * * [simplify]: iteration 1: 217 enodes 0.719 * * [simplify]: iteration 2: 580 enodes 1.324 * * [simplify]: iteration 3: 1770 enodes 2.783 * * [simplify]: iteration complete: 5001 enodes 2.783 * * [simplify]: Extracting #0: cost 34 inf + 0 2.784 * * [simplify]: Extracting #1: cost 185 inf + 3 2.788 * * [simplify]: Extracting #2: cost 620 inf + 941 2.801 * * [simplify]: Extracting #3: cost 1213 inf + 18213 2.847 * * [simplify]: Extracting #4: cost 692 inf + 164206 2.937 * * [simplify]: Extracting #5: cost 122 inf + 319399 3.041 * * [simplify]: Extracting #6: cost 42 inf + 345279 3.154 * * [simplify]: Extracting #7: cost 6 inf + 351992 3.266 * * [simplify]: Extracting #8: cost 0 inf + 353710 3.373 * [simplify]: Simplified to: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (- (* x x) 1.0) (sqrt (- (* x x) 1.0))) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))) (sqrt (- (* (* x (* x x)) (* x (* x x))) (* (* 1.0 1.0) 1.0))) (sqrt (+ (* (+ (* x x) 1.0) 1.0) (* (* x x) (* x x)))) (sqrt (* (+ (* x x) 1.0) (- (* x x) 1.0))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (exp (+ (sqrt (- (* x x) 1.0)) x)) (log (+ (sqrt (- (* x x) 1.0)) x)) (exp (+ (sqrt (- (* x x) 1.0)) x)) (* (cbrt (+ (sqrt (- (* x x) 1.0)) x)) (cbrt (+ (sqrt (- (* x x) 1.0)) x))) (cbrt (+ (sqrt (- (* x x) 1.0)) x)) (* (+ (sqrt (- (* x x) 1.0)) x) (* (+ (sqrt (- (* x x) 1.0)) x) (+ (sqrt (- (* x x) 1.0)) x))) (sqrt (+ (sqrt (- (* x x) 1.0)) x)) (sqrt (+ (sqrt (- (* x x) 1.0)) x)) (+ (* (- (* x x) 1.0) (sqrt (- (* x x) 1.0))) (* (* x x) x)) (+ (* x x) (* (- (sqrt (- (* x x) 1.0)) x) (sqrt (- (* x x) 1.0)))) 1.0 (- x (sqrt (- (* x x) 1.0))) (+ (sqrt (- (* x x) 1.0)) x) (- (sqrt (- 1.0)) (* (/ (* x x) (sqrt (- 1.0))) (- (/ (* 1/8 (* x x)) (- 1.0)) 1/2))) (- (- x (/ 0.5 x)) (/ (/ 0.125 (* x x)) x)) (- (/ (/ 0.125 (* x x)) x) (- x (/ 0.5 x))) (+ (+ (sqrt (- 1.0)) x) (* (/ (* x x) (sqrt (- 1.0))) 1/2)) (- (- (+ x x) (/ 0.5 x)) (/ (/ 0.125 (* x x)) x)) (+ (+ (/ 0.0625 (pow x 5)) (/ (/ 0.125 (* x x)) x)) (/ 0.5 x)) 3.377 * * * [progress]: adding candidates to table 3.630 * * [progress]: iteration 2 / 4 3.634 * * * [progress]: picking best candidate 3.644 * * * * [pick]: Picked # 3.645 * * * [progress]: localizing error 3.680 * * * [progress]: generating rewritten candidates 3.680 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 3.785 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.796 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 3.820 * * * [progress]: generating series expansions 3.820 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 3.822 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 3.822 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 3.822 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 3.822 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 3.822 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 3.822 * [taylor]: Taking taylor expansion of x in x 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.822 * [taylor]: Taking taylor expansion of 1.0 in x 3.822 * [backup-simplify]: Simplify 1.0 into 1.0 3.823 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.823 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 3.823 * [taylor]: Taking taylor expansion of x in x 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.823 * [taylor]: Taking taylor expansion of 1.0 in x 3.824 * [backup-simplify]: Simplify 1.0 into 1.0 3.824 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.826 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 3.827 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.828 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.832 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 3.834 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 3.834 * [backup-simplify]: Simplify (- 0) into 0 3.834 * [backup-simplify]: Simplify (+ 1 0) into 1 3.835 * [backup-simplify]: Simplify (+ 1 0) into 1 3.838 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 3.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 3.840 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 3.840 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 3.840 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 3.840 * [taylor]: Taking taylor expansion of x in x 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.840 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.840 * [taylor]: Taking taylor expansion of 1.0 in x 3.840 * [backup-simplify]: Simplify 1.0 into 1.0 3.840 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.841 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 3.841 * [taylor]: Taking taylor expansion of x in x 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.841 * [taylor]: Taking taylor expansion of 1.0 in x 3.841 * [backup-simplify]: Simplify 1.0 into 1.0 3.842 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.843 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 3.844 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.846 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.847 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 3.850 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 3.850 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ 1 0) into 1 3.851 * [backup-simplify]: Simplify (+ 1 0) into 1 3.854 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 3.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 3.858 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.860 * [backup-simplify]: Simplify (- 0) into 0 3.860 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 3.875 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 3.878 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 3.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.880 * [backup-simplify]: Simplify (- 0) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 3.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 3.886 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 3.907 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 3.912 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 3.924 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 3.925 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) 3.925 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 3.925 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 3.925 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 3.925 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 3.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.925 * [taylor]: Taking taylor expansion of x in x 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.926 * [taylor]: Taking taylor expansion of 1.0 in x 3.926 * [backup-simplify]: Simplify 1.0 into 1.0 3.926 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.927 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.927 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.927 * [taylor]: Taking taylor expansion of 1.0 in x 3.927 * [backup-simplify]: Simplify 1.0 into 1.0 3.928 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [backup-simplify]: Simplify (+ 1 0) into 1 3.930 * [backup-simplify]: Simplify (+ 0 1) into 1 3.930 * [backup-simplify]: Simplify (* 1 1) into 1 3.931 * [backup-simplify]: Simplify (sqrt 1) into 1 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.936 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.939 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.940 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 3.940 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 3.940 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 3.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.940 * [taylor]: Taking taylor expansion of x in x 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (/ 1 1) into 1 3.940 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.940 * [taylor]: Taking taylor expansion of 1.0 in x 3.940 * [backup-simplify]: Simplify 1.0 into 1.0 3.941 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.942 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.942 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.942 * [taylor]: Taking taylor expansion of 1.0 in x 3.942 * [backup-simplify]: Simplify 1.0 into 1.0 3.942 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.943 * [taylor]: Taking taylor expansion of x in x 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (/ 1 1) into 1 3.944 * [backup-simplify]: Simplify (+ 1 0) into 1 3.945 * [backup-simplify]: Simplify (+ 0 1) into 1 3.945 * [backup-simplify]: Simplify (* 1 1) into 1 3.945 * [backup-simplify]: Simplify (sqrt 1) into 1 3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.950 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.953 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 3.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify (- 0) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 3.967 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 3.968 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 3.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (+ 0 0) into 0 3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.973 * [backup-simplify]: Simplify (- 0) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ 0 0) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 3.991 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 3.993 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 3.996 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 3.998 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) 3.999 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 3.999 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 3.999 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 3.999 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 3.999 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.999 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.999 * [taylor]: Taking taylor expansion of 1.0 in x 3.999 * [backup-simplify]: Simplify 1.0 into 1.0 3.999 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (/ 1 1) into 1 4.001 * [backup-simplify]: Simplify (+ 0 1) into 1 4.001 * [backup-simplify]: Simplify (- 1) into -1 4.002 * [backup-simplify]: Simplify (sqrt 0) into 0 4.002 * [backup-simplify]: Simplify (- 1) into -1 4.004 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.004 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.004 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.004 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.004 * [taylor]: Taking taylor expansion of 1.0 in x 4.004 * [backup-simplify]: Simplify 1.0 into 1.0 4.004 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.005 * [taylor]: Taking taylor expansion of x in x 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ 1 1) into 1 4.006 * [backup-simplify]: Simplify (- 1) into -1 4.006 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.007 * [backup-simplify]: Simplify (sqrt 0) into 0 4.008 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.008 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 4.008 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 4.008 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 4.008 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.008 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.008 * [taylor]: Taking taylor expansion of 1.0 in x 4.008 * [backup-simplify]: Simplify 1.0 into 1.0 4.008 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.009 * [taylor]: Taking taylor expansion of x in x 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (/ 1 1) into 1 4.010 * [backup-simplify]: Simplify (+ 0 1) into 1 4.010 * [backup-simplify]: Simplify (- 1) into -1 4.011 * [backup-simplify]: Simplify (sqrt 0) into 0 4.011 * [backup-simplify]: Simplify (- 1) into -1 4.012 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.012 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.012 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.012 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.012 * [taylor]: Taking taylor expansion of 1.0 in x 4.012 * [backup-simplify]: Simplify 1.0 into 1.0 4.013 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (/ 1 1) into 1 4.049 * [backup-simplify]: Simplify (- 1) into -1 4.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.051 * [backup-simplify]: Simplify (sqrt 0) into 0 4.057 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.058 * [backup-simplify]: Simplify (* 0 0) into 0 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.058 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (- 0) into 0 4.063 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.077 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.080 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.084 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 4.090 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 4.090 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ 0 0) into 0 4.102 * [backup-simplify]: Simplify (- 0) into 0 4.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.127 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.131 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.152 * [backup-simplify]: Simplify (+ 0 0) into 0 4.153 * [backup-simplify]: Simplify (- 0) into 0 4.167 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.201 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.211 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 4.270 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) 4.270 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.271 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) 4.271 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 4.271 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 4.271 * [taylor]: Taking taylor expansion of x in x 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 4.272 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 4.272 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.272 * [taylor]: Taking taylor expansion of x in x 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.272 * [taylor]: Taking taylor expansion of 1.0 in x 4.272 * [backup-simplify]: Simplify 1.0 into 1.0 4.272 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.273 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 4.273 * [taylor]: Taking taylor expansion of x in x 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.273 * [taylor]: Taking taylor expansion of 1.0 in x 4.273 * [backup-simplify]: Simplify 1.0 into 1.0 4.274 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.275 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.276 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.278 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.280 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 4.282 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.283 * [backup-simplify]: Simplify (- 0) into 0 4.283 * [backup-simplify]: Simplify (+ 1 0) into 1 4.283 * [backup-simplify]: Simplify (+ 1 0) into 1 4.287 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 4.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 4.288 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 4.288 * [taylor]: Taking taylor expansion of x in x 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 4.288 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 4.288 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.288 * [taylor]: Taking taylor expansion of x in x 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.288 * [taylor]: Taking taylor expansion of 1.0 in x 4.288 * [backup-simplify]: Simplify 1.0 into 1.0 4.289 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.289 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 4.290 * [taylor]: Taking taylor expansion of x in x 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.290 * [taylor]: Taking taylor expansion of 1.0 in x 4.290 * [backup-simplify]: Simplify 1.0 into 1.0 4.290 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.292 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.292 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.294 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.295 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 4.298 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.299 * [backup-simplify]: Simplify (+ 1 0) into 1 4.299 * [backup-simplify]: Simplify (+ 1 0) into 1 4.302 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 4.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 4.305 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.308 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 4.308 * [backup-simplify]: Simplify (+ 1 0) into 1 4.308 * [backup-simplify]: Simplify 1 into 1 4.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.309 * [backup-simplify]: Simplify (- 0) into 0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.311 * [backup-simplify]: Simplify (+ 0 0) into 0 4.312 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 4.318 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 4.321 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 4.326 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 4.333 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (+ (* 1 x) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) 4.334 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 4.334 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 4.334 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.334 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 4.334 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 4.334 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 4.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.334 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (/ 1 1) into 1 4.335 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.335 * [taylor]: Taking taylor expansion of 1.0 in x 4.335 * [backup-simplify]: Simplify 1.0 into 1.0 4.335 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.336 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.336 * [taylor]: Taking taylor expansion of 1.0 in x 4.336 * [backup-simplify]: Simplify 1.0 into 1.0 4.336 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.337 * [taylor]: Taking taylor expansion of x in x 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [backup-simplify]: Simplify (+ 1 0) into 1 4.338 * [backup-simplify]: Simplify (+ 0 1) into 1 4.339 * [backup-simplify]: Simplify (* 1 1) into 1 4.339 * [backup-simplify]: Simplify (sqrt 1) into 1 4.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.344 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.347 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 4.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.348 * [taylor]: Taking taylor expansion of x in x 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (/ 1 1) into 1 4.348 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.348 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 4.349 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 4.349 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 4.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.349 * [taylor]: Taking taylor expansion of x in x 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (/ 1 1) into 1 4.349 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.349 * [taylor]: Taking taylor expansion of 1.0 in x 4.349 * [backup-simplify]: Simplify 1.0 into 1.0 4.350 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.350 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.350 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.350 * [taylor]: Taking taylor expansion of 1.0 in x 4.350 * [backup-simplify]: Simplify 1.0 into 1.0 4.351 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.352 * [taylor]: Taking taylor expansion of x in x 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (/ 1 1) into 1 4.353 * [backup-simplify]: Simplify (+ 1 0) into 1 4.353 * [backup-simplify]: Simplify (+ 0 1) into 1 4.353 * [backup-simplify]: Simplify (* 1 1) into 1 4.354 * [backup-simplify]: Simplify (sqrt 1) into 1 4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.358 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 4.362 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 4.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.363 * [taylor]: Taking taylor expansion of x in x 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 1 into 1 4.363 * [backup-simplify]: Simplify (/ 1 1) into 1 4.364 * [backup-simplify]: Simplify (+ 1 1) into 2 4.364 * [backup-simplify]: Simplify 2 into 2 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.365 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.366 * [backup-simplify]: Simplify (+ 0 0) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (- 0) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 4.379 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 4.386 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 4.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.388 * [backup-simplify]: Simplify (+ 0 0) into 0 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.391 * [backup-simplify]: Simplify (- 0) into 0 4.391 * [backup-simplify]: Simplify (+ 0 0) into 0 4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 4.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (+ 0 0) into 0 4.396 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.399 * [backup-simplify]: Simplify (+ 0 0) into 0 4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 4.412 * [backup-simplify]: Simplify (- 0) into 0 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 4.420 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 4.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.424 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 4.426 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 4.433 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (pow (sqrt 1.0) 4))) (pow (/ 1 x) 3)) (+ (* (- (* 1/2 (pow (sqrt 1.0) 2))) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 4.435 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0))))) into (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 4.435 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 4.435 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.435 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 4.435 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 4.435 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 4.435 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.435 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.436 * [taylor]: Taking taylor expansion of 1.0 in x 4.436 * [backup-simplify]: Simplify 1.0 into 1.0 4.436 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [backup-simplify]: Simplify (+ 0 1) into 1 4.439 * [backup-simplify]: Simplify (- 1) into -1 4.439 * [backup-simplify]: Simplify (sqrt 0) into 0 4.440 * [backup-simplify]: Simplify (- 1) into -1 4.442 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.442 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.442 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.442 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.442 * [taylor]: Taking taylor expansion of 1.0 in x 4.442 * [backup-simplify]: Simplify 1.0 into 1.0 4.443 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.444 * [taylor]: Taking taylor expansion of x in x 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (/ 1 1) into 1 4.444 * [backup-simplify]: Simplify (- 1) into -1 4.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.445 * [backup-simplify]: Simplify (sqrt 0) into 0 4.448 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.448 * [taylor]: Taking taylor expansion of x in x 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (/ 1 1) into 1 4.448 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 4.448 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 4.448 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 4.449 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 4.449 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.449 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.449 * [taylor]: Taking taylor expansion of 1.0 in x 4.449 * [backup-simplify]: Simplify 1.0 into 1.0 4.449 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.450 * [taylor]: Taking taylor expansion of x in x 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (/ 1 1) into 1 4.451 * [backup-simplify]: Simplify (+ 0 1) into 1 4.452 * [backup-simplify]: Simplify (- 1) into -1 4.452 * [backup-simplify]: Simplify (sqrt 0) into 0 4.453 * [backup-simplify]: Simplify (- 1) into -1 4.454 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.454 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.454 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.454 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.454 * [taylor]: Taking taylor expansion of 1.0 in x 4.454 * [backup-simplify]: Simplify 1.0 into 1.0 4.455 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.456 * [taylor]: Taking taylor expansion of x in x 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.456 * [backup-simplify]: Simplify (- 1) into -1 4.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.457 * [backup-simplify]: Simplify (sqrt 0) into 0 4.459 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.459 * [taylor]: Taking taylor expansion of x in x 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (/ 1 1) into 1 4.460 * [backup-simplify]: Simplify (* 0 0) into 0 4.460 * [backup-simplify]: Simplify (+ 0 0) into 0 4.460 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.461 * [backup-simplify]: Simplify (- 1) into -1 4.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.462 * [backup-simplify]: Simplify -1 into -1 4.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (- 0) into 0 4.464 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.467 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.470 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 4.474 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 4.480 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 4.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (- 0) into 0 4.482 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.482 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.483 * [backup-simplify]: Simplify (- 0) into 0 4.484 * [backup-simplify]: Simplify (+ 0 0) into 0 4.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (+ 0 0) into 0 4.493 * [backup-simplify]: Simplify (- 0) into 0 4.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.515 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify (- 0) into 0 4.520 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.523 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.526 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 4.526 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 4.526 * [backup-simplify]: Simplify (sqrt (+ x (sqrt 1.0))) into (sqrt (+ x (sqrt 1.0))) 4.527 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 4.527 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 4.527 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.527 * [taylor]: Taking taylor expansion of x in x 4.527 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify 1 into 1 4.527 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.527 * [taylor]: Taking taylor expansion of 1.0 in x 4.527 * [backup-simplify]: Simplify 1.0 into 1.0 4.527 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.529 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.530 * [backup-simplify]: Simplify (+ 1 0) into 1 4.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 4.532 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 4.532 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 4.532 * [taylor]: Taking taylor expansion of x in x 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify 1 into 1 4.532 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.532 * [taylor]: Taking taylor expansion of 1.0 in x 4.532 * [backup-simplify]: Simplify 1.0 into 1.0 4.532 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.534 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 4.534 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.535 * [backup-simplify]: Simplify (+ 1 0) into 1 4.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 4.538 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.540 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 4.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.542 * [backup-simplify]: Simplify (+ 0 0) into 0 4.552 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 4.585 * [backup-simplify]: Simplify (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 4.596 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) x) (sqrt (sqrt 1.0)))) into (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 4.597 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) (sqrt 1.0))) into (sqrt (+ (sqrt 1.0) (/ 1 x))) 4.597 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 4.597 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 4.597 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.597 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.597 * [taylor]: Taking taylor expansion of 1.0 in x 4.597 * [backup-simplify]: Simplify 1.0 into 1.0 4.598 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.599 * [taylor]: Taking taylor expansion of x in x 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (/ 1 1) into 1 4.599 * [backup-simplify]: Simplify (+ 0 1) into 1 4.599 * [backup-simplify]: Simplify (sqrt 0) into 0 4.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.603 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 4.603 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 4.603 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.603 * [taylor]: Taking taylor expansion of 1.0 in x 4.603 * [backup-simplify]: Simplify 1.0 into 1.0 4.604 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.605 * [taylor]: Taking taylor expansion of x in x 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (/ 1 1) into 1 4.606 * [backup-simplify]: Simplify (+ 0 1) into 1 4.607 * [backup-simplify]: Simplify (sqrt 0) into 0 4.608 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.618 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.620 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ 0 0) into 0 4.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.631 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.635 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 4.635 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) into (sqrt (- (sqrt 1.0) (/ 1 x))) 4.635 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 4.635 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.635 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.635 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.635 * [taylor]: Taking taylor expansion of 1.0 in x 4.635 * [backup-simplify]: Simplify 1.0 into 1.0 4.635 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.636 * [taylor]: Taking taylor expansion of x in x 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (/ 1 1) into 1 4.636 * [backup-simplify]: Simplify (- 1) into -1 4.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.638 * [backup-simplify]: Simplify (sqrt 0) into 0 4.640 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.640 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 4.640 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 4.640 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.640 * [taylor]: Taking taylor expansion of 1.0 in x 4.640 * [backup-simplify]: Simplify 1.0 into 1.0 4.640 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.641 * [taylor]: Taking taylor expansion of x in x 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.642 * [backup-simplify]: Simplify (- 1) into -1 4.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.642 * [backup-simplify]: Simplify (sqrt 0) into 0 4.644 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.645 * [backup-simplify]: Simplify (- 0) into 0 4.645 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.649 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.650 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (- 0) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.662 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.667 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 4.667 * * * [progress]: simplifying candidates 4.670 * [simplify]: Simplifying: (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 4.674 * * [simplify]: iteration 0: 175 enodes 4.785 * * [simplify]: iteration 1: 414 enodes 5.122 * * [simplify]: iteration 2: 1160 enodes 6.714 * * [simplify]: iteration 3: 4123 enodes 9.170 * * [simplify]: iteration complete: 5026 enodes 9.170 * * [simplify]: Extracting #0: cost 59 inf + 0 9.172 * * [simplify]: Extracting #1: cost 333 inf + 2 9.178 * * [simplify]: Extracting #2: cost 1141 inf + 917 9.198 * * [simplify]: Extracting #3: cost 1420 inf + 37461 9.284 * * [simplify]: Extracting #4: cost 579 inf + 221907 9.440 * * [simplify]: Extracting #5: cost 17 inf + 393740 9.589 * * [simplify]: Extracting #6: cost 0 inf + 393591 9.750 * [simplify]: Simplified to: (- (* x x) 1.0) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (- (* x x) 1.0) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (* (sqrt (- x (sqrt 1.0))) (+ (sqrt 1.0) x)) (* (- x (sqrt 1.0)) (sqrt (+ (sqrt 1.0) x)))) (* (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (* (sqrt (- x (sqrt 1.0))) (+ (sqrt 1.0) x)) (* (- x (sqrt 1.0)) (sqrt (+ (sqrt 1.0) x)))) (- (* x x) 1.0) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (sqrt (- (* (* x x) x) (* 1.0 (sqrt 1.0)))) (sqrt (+ (* (* x x) x) (* 1.0 (sqrt 1.0))))) (* (sqrt (- 1.0 (* x (- (sqrt 1.0) x)))) (sqrt (+ 1.0 (* x (+ (sqrt 1.0) x))))) (* (sqrt (- (* x x) 1.0)) (sqrt (+ (* (* x x) x) (* 1.0 (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- 1.0 (* x (- (sqrt 1.0) x))))) (* (sqrt (- (* (* x x) x) (* 1.0 (sqrt 1.0)))) (sqrt (- (* x x) 1.0))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ 1.0 (* x (+ (sqrt 1.0) x))))) (- (* x x) 1.0) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ (sqrt 1.0) x)) (fabs (cbrt (- x (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (sqrt (+ (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ (sqrt 1.0) x)) (* (sqrt (- x (sqrt 1.0))) (cbrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (cbrt (+ (sqrt 1.0) x)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (sqrt (+ (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* (* x x) x) (* 1.0 (sqrt 1.0)))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (* x x) 1.0)) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* (* x x) x) (* 1.0 (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (- (* x x) 1.0))) (exp (+ (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) x)) (log (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (exp (+ (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) x)) (* (cbrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (+ (* (* (sqrt (- x (sqrt 1.0))) (+ (sqrt 1.0) x)) (* (- x (sqrt 1.0)) (sqrt (+ (sqrt 1.0) x)))) (* (* x x) x)) (+ (* (- (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) x) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* x x)) (- (* x x) (- (* x x) 1.0)) (- x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (log (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (+ (sqrt 1.0) x))) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (cbrt (sqrt (+ (sqrt 1.0) x)))) (cbrt (sqrt (+ (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (+ (sqrt 1.0) x)) (fabs (cbrt (+ (sqrt 1.0) x))) (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) 1 (sqrt (+ (sqrt 1.0) x)) 1 (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (* (* x x) x) (* 1.0 (sqrt 1.0)))) (sqrt (- 1.0 (* x (- (sqrt 1.0) x)))) (sqrt (- (* x x) 1.0)) (sqrt (- x (sqrt 1.0))) 1/2 (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (+ (sqrt 1.0) x))) (+ (* (/ -1/8 (- 1.0)) (/ (* x x) (/ (sqrt (- 1.0)) (* x x)))) (+ (/ 1/2 (/ (sqrt (- 1.0)) (* x x))) (sqrt (- 1.0)))) (- (- x (/ (/ 1.0 x) 2)) (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1/8 x))) (- (+ (+ (- (/ +nan.0 (* x x)) (/ +nan.0 x)) (- (/ (* (sqrt 1.0) +nan.0) x) +nan.0)) (* +nan.0 (- (/ 1.0 (* x x)) (/ (sqrt 1.0) (* x x)))))) (+ x (+ (/ 1/2 (/ (sqrt (- 1.0)) (* x x))) (sqrt (- 1.0)))) (- (- (* 2 x) (/ (/ 1.0 x) 2)) (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1/8 x))) (+ (- x (+ +nan.0 (/ +nan.0 x))) (/ (* (sqrt 1.0) +nan.0) x)) (+ (* (* x (sqrt (/ 1 (sqrt 1.0)))) 1/2) (+ (* (* (* x x) (sqrt (/ 1 (* 1.0 (sqrt 1.0))))) -1/8) (sqrt (sqrt 1.0)))) (- (+ (* (/ (sqrt 1.0) x) (- +nan.0)) (- (* (/ +nan.0 (* x x)) (sqrt 1.0)) (/ +nan.0 (* x x)))) (+ +nan.0 (/ (- +nan.0) x))) (- (+ (* (/ (sqrt 1.0) x) (- +nan.0)) (- (* (/ +nan.0 (* x x)) (sqrt 1.0)) (/ +nan.0 (* x x)))) (+ +nan.0 (/ (- +nan.0) x))) 9.761 * * * [progress]: adding candidates to table 10.404 * [progress]: [Phase 3 of 3] Extracting. 10.412 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 10.413 * * [simplify]: iteration 0: 10 enodes 10.414 * * [simplify]: iteration 1: 13 enodes 10.415 * * [simplify]: iteration complete: 13 enodes 10.415 * * [simplify]: Extracting #0: cost 1 inf + 0 10.415 * * [simplify]: Extracting #1: cost 2 inf + 0 10.416 * * [simplify]: Extracting #2: cost 4 inf + 0 10.416 * * [simplify]: Extracting #3: cost 5 inf + 1 10.416 * * [simplify]: Extracting #4: cost 7 inf + 1 10.416 * * [simplify]: Extracting #5: cost 8 inf + 1 10.416 * * [simplify]: Extracting #6: cost 9 inf + 1 10.416 * * [simplify]: Extracting #7: cost 7 inf + 43 10.416 * * [simplify]: Extracting #8: cost 0 inf + 1327 10.417 * [simplify]: Simplified to: (log (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) x)) 15.406 * [regime-testing]: Baseline error score: 0.02712839104888111 15.419 * [regime-testing]: Oracle error score: 0.02712839104888111 15.419 * [regime-testing]: End program error score: 0.02712839104888111