18.370 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.071 * * [simplify]: iteration 0: 6 enodes 0.073 * * [simplify]: iteration 1: 9 enodes 0.075 * * [simplify]: iteration 2: 10 enodes 0.077 * * [simplify]: iteration complete: 10 enodes 0.077 * * [simplify]: Extracting #0: cost 1 inf + 0 0.077 * * [simplify]: Extracting #1: cost 4 inf + 0 0.077 * * [simplify]: Extracting #2: cost 6 inf + 0 0.077 * * [simplify]: Extracting #3: cost 6 inf + 1 0.077 * * [simplify]: Extracting #4: cost 0 inf + 410 0.077 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0.078 * * [progress]: iteration 1 / 4 0.078 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.100 * * * [progress]: generating rewritten candidates 0.100 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.208 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.208 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.208 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.209 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.211 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (sqrt 0) into 0 0.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.213 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.213 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.214 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.216 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (sqrt 0) into 0 0.218 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.220 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.220 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.222 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.225 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.231 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.231 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.233 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.236 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.242 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 0.242 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) 0.242 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 0) into 0 0.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (sqrt 0) into 0 0.245 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.245 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [backup-simplify]: Simplify 1.0 into 1.0 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (sqrt 0) into 0 0.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (sqrt 0) into 0 0.248 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.249 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.250 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.252 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.255 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.255 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.255 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.265 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.266 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.266 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.268 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.268 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.268 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (sqrt 0) into 0 0.271 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.271 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.271 * [taylor]: Taking taylor expansion of -1 in x 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ -1 1) into -1 0.272 * [backup-simplify]: Simplify (sqrt 0) into 0 0.273 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.273 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.273 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [backup-simplify]: Simplify 1.0 into 1.0 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.275 * [backup-simplify]: Simplify (sqrt 0) into 0 0.276 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.276 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.276 * [taylor]: Taking taylor expansion of -1 in x 0.276 * [backup-simplify]: Simplify -1 into -1 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (/ -1 1) into -1 0.277 * [backup-simplify]: Simplify (sqrt 0) into 0 0.279 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.281 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.281 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.286 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.291 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.292 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.308 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.309 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.311 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.311 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.311 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.311 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.311 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [backup-simplify]: Simplify 1.0 into 1.0 0.312 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.313 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.315 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 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 (+ 0 1.0) into 1.0 0.316 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.318 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.319 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.327 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.330 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.330 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ (/ 1 x) 1.0)) 0.330 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (sqrt 0) into 0 0.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (sqrt 0) into 0 0.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.340 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.344 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.344 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.344 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.345 * [backup-simplify]: Simplify (sqrt 0) into 0 0.346 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.346 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [backup-simplify]: Simplify 1.0 into 1.0 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (- 1) into -1 0.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.347 * [backup-simplify]: Simplify (sqrt 0) into 0 0.347 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.350 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.350 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.354 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.354 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.354 * * * [progress]: simplifying candidates 0.355 * [simplify]: Simplifying: (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.357 * * [simplify]: iteration 0: 139 enodes 0.393 * * [simplify]: iteration 1: 322 enodes 0.551 * * [simplify]: iteration 2: 1076 enodes 1.002 * * [simplify]: iteration complete: 5001 enodes 1.002 * * [simplify]: Extracting #0: cost 43 inf + 0 1.004 * * [simplify]: Extracting #1: cost 521 inf + 3 1.008 * * [simplify]: Extracting #2: cost 1548 inf + 1120 1.028 * * [simplify]: Extracting #3: cost 1297 inf + 44451 1.081 * * [simplify]: Extracting #4: cost 538 inf + 175002 1.134 * * [simplify]: Extracting #5: cost 110 inf + 273836 1.192 * * [simplify]: Extracting #6: cost 1 inf + 303252 1.250 * * [simplify]: Extracting #7: cost 0 inf + 303494 1.351 * [simplify]: Simplified to: (- (* (cbrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt x)) 0 (- (* (cbrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (cbrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt x)) 0 (- (* (cbrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt x)) 0 (- (* (cbrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt x)) 0 (- (* (cbrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (expm1 (- (sqrt (+ 1.0 x)) (sqrt x))) (log1p (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (log (- (sqrt (+ 1.0 x)) (sqrt x))) (exp (- (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (- (sqrt (+ 1.0 x)) (sqrt x))) (* (* (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (- (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (* (sqrt x) x)) (fma (sqrt x) (sqrt (+ 1.0 x)) (+ x (+ 1.0 x))) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (+ (sqrt (sqrt x)) (sqrt (sqrt (+ 1.0 x)))) (- (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (sqrt (fma (* x x) x (* 1.0 (* 1.0 1.0)))) (sqrt (fma (- 1.0 x) 1.0 (* x x))) (sqrt (* (+ x 1.0) (- x 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (fma (/ (* (/ x 1.0) x) (sqrt 1.0)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (* x (- (* +nan.0 x) +nan.0))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) (fma (/ (* (/ x 1.0) x) (sqrt 1.0)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ +nan.0 x) (/ 1 x) +nan.0) (/ +nan.0 x))) 1.364 * * * [progress]: adding candidates to table 1.631 * * [progress]: iteration 2 / 4 1.631 * * * [progress]: picking best candidate 1.649 * * * * [pick]: Picked # 1.649 * * * [progress]: localizing error 1.662 * * * [progress]: generating rewritten candidates 1.662 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.724 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.755 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.772 * * * [progress]: generating series expansions 1.772 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.773 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1.773 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.773 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.773 * [taylor]: Taking taylor expansion of 1.0 in x 1.773 * [backup-simplify]: Simplify 1.0 into 1.0 1.773 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.774 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.774 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [taylor]: Taking taylor expansion of 1.0 in x 1.774 * [backup-simplify]: Simplify 1.0 into 1.0 1.774 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.775 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.775 * [backup-simplify]: Simplify (+ 1 0) into 1 1.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.777 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (sqrt 0) into 0 1.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.780 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.781 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.781 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [backup-simplify]: Simplify 1.0 into 1.0 1.781 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.781 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.781 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [backup-simplify]: Simplify 1.0 into 1.0 1.782 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.782 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.783 * [backup-simplify]: Simplify (+ 1 0) into 1 1.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.784 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (sqrt 0) into 0 1.786 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.787 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.788 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.789 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.791 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.802 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 1.812 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.821 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.824 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 1.872 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 1.895 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 1.931 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 1.932 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 1.932 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.932 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.932 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [backup-simplify]: Simplify 1.0 into 1.0 1.932 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (sqrt 0) into 0 1.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.935 * [backup-simplify]: Simplify 1.0 into 1.0 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (sqrt 0) into 0 1.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.938 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.938 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.938 * [taylor]: Taking taylor expansion of 1.0 in x 1.938 * [backup-simplify]: Simplify 1.0 into 1.0 1.938 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.938 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [backup-simplify]: Simplify (sqrt 0) into 0 1.939 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.940 * [backup-simplify]: Simplify 1.0 into 1.0 1.940 * [backup-simplify]: Simplify (+ 1 0) into 1 1.940 * [backup-simplify]: Simplify (sqrt 0) into 0 1.941 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.942 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.942 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.947 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.947 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.950 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.950 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.956 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.962 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.962 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.963 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.963 * [backup-simplify]: Simplify (/ (+ 1.0 0) (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 1.963 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.963 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.963 * [taylor]: Taking taylor expansion of 1.0 in x 1.963 * [backup-simplify]: Simplify 1.0 into 1.0 1.963 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.964 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.964 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.964 * [taylor]: Taking taylor expansion of -1 in x 1.964 * [backup-simplify]: Simplify -1 into -1 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (/ -1 1) into -1 1.964 * [backup-simplify]: Simplify (sqrt 0) into 0 1.965 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.965 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.965 * [taylor]: Taking taylor expansion of 1.0 in x 1.965 * [backup-simplify]: Simplify 1.0 into 1.0 1.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.966 * [backup-simplify]: Simplify (- 1) into -1 1.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.966 * [backup-simplify]: Simplify (sqrt 0) into 0 1.967 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.968 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.968 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.968 * [taylor]: Taking taylor expansion of 1.0 in x 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.968 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.968 * [taylor]: Taking taylor expansion of -1 in x 1.968 * [backup-simplify]: Simplify -1 into -1 1.968 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ -1 1) into -1 1.969 * [backup-simplify]: Simplify (sqrt 0) into 0 1.971 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.971 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.971 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (- 1) into -1 1.972 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.972 * [backup-simplify]: Simplify (sqrt 0) into 0 1.974 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.975 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.984 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.984 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.986 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.987 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.993 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.997 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.997 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.998 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.998 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.998 * [backup-simplify]: Simplify (+ (sqrt (+ x 1.0)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 1.998 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.998 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.998 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.998 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.998 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.999 * [backup-simplify]: Simplify (+ 1 0) into 1 2.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.000 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (sqrt 0) into 0 2.001 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.001 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.001 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.001 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [taylor]: Taking taylor expansion of 1.0 in x 2.001 * [backup-simplify]: Simplify 1.0 into 1.0 2.001 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.001 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.002 * [backup-simplify]: Simplify (+ 1 0) into 1 2.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.003 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (sqrt 0) into 0 2.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.004 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.005 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.006 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.007 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.013 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.016 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 2.022 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 2.031 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) 2.031 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 2.031 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 2.031 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 2.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [backup-simplify]: Simplify (sqrt 0) into 0 2.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of 1.0 in x 2.034 * [backup-simplify]: Simplify 1.0 into 1.0 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (sqrt 0) into 0 2.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.036 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 2.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [backup-simplify]: Simplify (sqrt 0) into 0 2.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.038 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [taylor]: Taking taylor expansion of 1.0 in x 2.039 * [backup-simplify]: Simplify 1.0 into 1.0 2.039 * [backup-simplify]: Simplify (+ 1 0) into 1 2.040 * [backup-simplify]: Simplify (sqrt 0) into 0 2.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.042 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.051 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.051 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.062 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.064 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.064 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 2.064 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 2.064 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.064 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.064 * [taylor]: Taking taylor expansion of -1 in x 2.064 * [backup-simplify]: Simplify -1 into -1 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ -1 1) into -1 2.065 * [backup-simplify]: Simplify (sqrt 0) into 0 2.066 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.067 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.067 * [taylor]: Taking taylor expansion of 1.0 in x 2.067 * [backup-simplify]: Simplify 1.0 into 1.0 2.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (/ 1 1) into 1 2.067 * [backup-simplify]: Simplify (- 1) into -1 2.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.068 * [backup-simplify]: Simplify (sqrt 0) into 0 2.070 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.070 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.070 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.070 * [taylor]: Taking taylor expansion of -1 in x 2.070 * [backup-simplify]: Simplify -1 into -1 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ -1 1) into -1 2.071 * [backup-simplify]: Simplify (sqrt 0) into 0 2.072 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.072 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.072 * [taylor]: Taking taylor expansion of 1.0 in x 2.072 * [backup-simplify]: Simplify 1.0 into 1.0 2.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [backup-simplify]: Simplify (- 1) into -1 2.073 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.073 * [backup-simplify]: Simplify (sqrt 0) into 0 2.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (- 0) into 0 2.084 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.087 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.087 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.087 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.098 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.098 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.100 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.100 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 2.100 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 2.100 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.100 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.100 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.100 * [taylor]: Taking taylor expansion of x in x 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [backup-simplify]: Simplify 1.0 into 1.0 2.101 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.101 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.102 * [backup-simplify]: Simplify (+ 1 0) into 1 2.103 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.103 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.103 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [taylor]: Taking taylor expansion of 1.0 in x 2.103 * [backup-simplify]: Simplify 1.0 into 1.0 2.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.104 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.105 * [backup-simplify]: Simplify (+ 1 0) into 1 2.106 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.107 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.108 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.115 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.118 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 2.119 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ (/ 1 x) 1.0)) 2.119 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 2.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.119 * [taylor]: Taking taylor expansion of x in x 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (/ 1 1) into 1 2.119 * [taylor]: Taking taylor expansion of 1.0 in x 2.119 * [backup-simplify]: Simplify 1.0 into 1.0 2.120 * [backup-simplify]: Simplify (+ 1 0) into 1 2.120 * [backup-simplify]: Simplify (sqrt 0) into 0 2.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.122 * [taylor]: Taking taylor expansion of x in x 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.122 * [backup-simplify]: Simplify 1.0 into 1.0 2.123 * [backup-simplify]: Simplify (+ 1 0) into 1 2.123 * [backup-simplify]: Simplify (sqrt 0) into 0 2.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.129 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.134 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.135 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.135 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 2.135 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.135 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.135 * [taylor]: Taking taylor expansion of 1.0 in x 2.135 * [backup-simplify]: Simplify 1.0 into 1.0 2.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [backup-simplify]: Simplify (- 1) into -1 2.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.137 * [backup-simplify]: Simplify (sqrt 0) into 0 2.138 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.138 * [taylor]: Taking taylor expansion of 1.0 in x 2.138 * [backup-simplify]: Simplify 1.0 into 1.0 2.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [backup-simplify]: Simplify (- 1) into -1 2.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.140 * [backup-simplify]: Simplify (sqrt 0) into 0 2.141 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (- 0) into 0 2.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.146 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.146 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (- 0) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.153 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.153 * * * [progress]: simplifying candidates 2.155 * [simplify]: Simplifying: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.159 * * [simplify]: iteration 0: 173 enodes 2.223 * * [simplify]: iteration 1: 439 enodes 2.478 * * [simplify]: iteration 2: 2060 enodes 3.286 * * [simplify]: iteration complete: 5000 enodes 3.287 * * [simplify]: Extracting #0: cost 70 inf + 0 3.288 * * [simplify]: Extracting #1: cost 411 inf + 44 3.295 * * [simplify]: Extracting #2: cost 954 inf + 3425 3.312 * * [simplify]: Extracting #3: cost 1283 inf + 41769 3.338 * * [simplify]: Extracting #4: cost 529 inf + 166925 3.391 * * [simplify]: Extracting #5: cost 110 inf + 274172 3.451 * * [simplify]: Extracting #6: cost 7 inf + 298450 3.550 * * [simplify]: Extracting #7: cost 0 inf + 300431 3.649 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (* (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma (sqrt (+ x 1.0)) (+ x 1.0) (* (sqrt x) x))) (/ 1.0 1.0) (* (* 1.0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma (sqrt (+ x 1.0)) (+ x 1.0) (* (sqrt x) x)) (fma (sqrt x) (- (sqrt x) (sqrt (+ x 1.0))) (+ x 1.0)) 1.0 (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (+ x 1.0) (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (fma 1.0 (* 1.0 1.0) (* (* x x) x))) (sqrt (fma (- 1.0 x) 1.0 (* x x))) (sqrt (* (+ x 1.0) (- x 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (/ (* 0.375 (* x x)) (pow (sqrt 1.0) 5)) (fma (/ 0.5 (sqrt 1.0)) (/ x 1.0) (- (- (fma (/ (* x x) 1.0) (/ +nan.0 (sqrt 1.0)) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0)))) (* +nan.0 (* (/ x 1.0) (/ x 1.0))))))) (/ 1.0 (sqrt 1.0))) (- (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) (- (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) (+ (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0)) (fma (* (/ x 1.0) (/ x (sqrt 1.0))) -1/8 (* +nan.0 (- (* x x) x)))) (- (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) (- (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) (fma (* (/ x 1.0) (/ x (sqrt 1.0))) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) (- (- (/ (/ +nan.0 x) x) (- (/ +nan.0 x) +nan.0))) 3.660 * * * [progress]: adding candidates to table 4.119 * * [progress]: iteration 3 / 4 4.119 * * * [progress]: picking best candidate 4.159 * * * * [pick]: Picked # 4.160 * * * [progress]: localizing error 4.203 * * * [progress]: generating rewritten candidates 4.204 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.442 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.499 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 4.574 * * * [progress]: generating series expansions 4.574 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.574 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 4.574 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 4.574 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.574 * [taylor]: Taking taylor expansion of 1.0 in x 4.574 * [backup-simplify]: Simplify 1.0 into 1.0 4.574 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.574 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.574 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.574 * [taylor]: Taking taylor expansion of x in x 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [taylor]: Taking taylor expansion of 1.0 in x 4.574 * [backup-simplify]: Simplify 1.0 into 1.0 4.575 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.575 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.575 * [backup-simplify]: Simplify (+ 1 0) into 1 4.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.577 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (sqrt 0) into 0 4.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.578 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.579 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 4.579 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.579 * [taylor]: Taking taylor expansion of 1.0 in x 4.579 * [backup-simplify]: Simplify 1.0 into 1.0 4.579 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.579 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.579 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.579 * [taylor]: Taking taylor expansion of x in x 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [taylor]: Taking taylor expansion of 1.0 in x 4.579 * [backup-simplify]: Simplify 1.0 into 1.0 4.579 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.580 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.580 * [backup-simplify]: Simplify (+ 1 0) into 1 4.581 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.581 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.581 * [taylor]: Taking taylor expansion of x in x 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (sqrt 0) into 0 4.582 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.582 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.583 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 4.584 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 4.585 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 4.590 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.596 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.596 * [backup-simplify]: Simplify (+ 0 0) into 0 4.600 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.603 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.605 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 4.647 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 4.671 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 4.708 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 4.709 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 4.709 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 4.709 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.709 * [taylor]: Taking taylor expansion of 1.0 in x 4.709 * [backup-simplify]: Simplify 1.0 into 1.0 4.709 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.709 * [taylor]: Taking taylor expansion of x in x 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (sqrt 0) into 0 4.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.710 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.710 * [taylor]: Taking taylor expansion of x in x 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [taylor]: Taking taylor expansion of 1.0 in x 4.710 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [backup-simplify]: Simplify (+ 1 0) into 1 4.711 * [backup-simplify]: Simplify (sqrt 0) into 0 4.712 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.712 * [backup-simplify]: Simplify (+ 0 0) into 0 4.712 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.713 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.713 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 4.713 * [taylor]: Taking taylor expansion of 1.0 in x 4.713 * [backup-simplify]: Simplify 1.0 into 1.0 4.713 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 4.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.713 * [taylor]: Taking taylor expansion of x in x 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [backup-simplify]: Simplify (sqrt 0) into 0 4.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 4.714 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 4.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.714 * [taylor]: Taking taylor expansion of x in x 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (/ 1 1) into 1 4.715 * [taylor]: Taking taylor expansion of 1.0 in x 4.715 * [backup-simplify]: Simplify 1.0 into 1.0 4.715 * [backup-simplify]: Simplify (+ 1 0) into 1 4.715 * [backup-simplify]: Simplify (sqrt 0) into 0 4.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.717 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.717 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.722 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.722 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.724 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.724 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.728 * [backup-simplify]: Simplify (+ 0 0) into 0 4.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.731 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.734 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.735 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.735 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.736 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 4.736 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 4.736 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.736 * [taylor]: Taking taylor expansion of 1.0 in x 4.736 * [backup-simplify]: Simplify 1.0 into 1.0 4.736 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.736 * [taylor]: Taking taylor expansion of -1 in x 4.736 * [backup-simplify]: Simplify -1 into -1 4.736 * [taylor]: Taking taylor expansion of x in x 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.736 * [backup-simplify]: Simplify (/ -1 1) into -1 4.736 * [backup-simplify]: Simplify (sqrt 0) into 0 4.737 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.737 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.737 * [taylor]: Taking taylor expansion of 1.0 in x 4.737 * [backup-simplify]: Simplify 1.0 into 1.0 4.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.737 * [taylor]: Taking taylor expansion of x in x 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (/ 1 1) into 1 4.738 * [backup-simplify]: Simplify (- 1) into -1 4.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.738 * [backup-simplify]: Simplify (sqrt 0) into 0 4.739 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.739 * [backup-simplify]: Simplify (+ 0 0) into 0 4.740 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.740 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.740 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.740 * [taylor]: Taking taylor expansion of 1.0 in x 4.740 * [backup-simplify]: Simplify 1.0 into 1.0 4.740 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.740 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.740 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.740 * [taylor]: Taking taylor expansion of -1 in x 4.740 * [backup-simplify]: Simplify -1 into -1 4.740 * [taylor]: Taking taylor expansion of x in x 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (/ -1 1) into -1 4.741 * [backup-simplify]: Simplify (sqrt 0) into 0 4.742 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.742 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.742 * [taylor]: Taking taylor expansion of 1.0 in x 4.742 * [backup-simplify]: Simplify 1.0 into 1.0 4.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [backup-simplify]: Simplify (- 1) into -1 4.742 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.743 * [backup-simplify]: Simplify (sqrt 0) into 0 4.743 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.744 * [backup-simplify]: Simplify (+ 0 0) into 0 4.744 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.744 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 4.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.747 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.747 * [backup-simplify]: Simplify (- 0) into 0 4.748 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.750 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.750 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.752 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.752 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.756 * [backup-simplify]: Simplify (- 0) into 0 4.756 * [backup-simplify]: Simplify (+ 0 0) into 0 4.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.759 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.764 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.764 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.766 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.766 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.766 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) 4.766 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 4.766 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 4.766 * [taylor]: Taking taylor expansion of 1.0 in x 4.766 * [backup-simplify]: Simplify 1.0 into 1.0 4.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 4.766 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.766 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.766 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.766 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.766 * [taylor]: Taking taylor expansion of x in x 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [taylor]: Taking taylor expansion of 1.0 in x 4.766 * [backup-simplify]: Simplify 1.0 into 1.0 4.767 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.767 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.768 * [backup-simplify]: Simplify (+ 1 0) into 1 4.769 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.769 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.769 * [taylor]: Taking taylor expansion of x in x 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (sqrt 0) into 0 4.771 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.772 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.773 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 4.774 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 4.776 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 4.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.803 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 4.804 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 4.804 * [taylor]: Taking taylor expansion of 1.0 in x 4.804 * [backup-simplify]: Simplify 1.0 into 1.0 4.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 4.804 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 4.804 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 4.804 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.804 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.804 * [taylor]: Taking taylor expansion of x in x 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [taylor]: Taking taylor expansion of 1.0 in x 4.804 * [backup-simplify]: Simplify 1.0 into 1.0 4.804 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.805 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.805 * [backup-simplify]: Simplify (+ 1 0) into 1 4.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.807 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.807 * [taylor]: Taking taylor expansion of x in x 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (sqrt 0) into 0 4.809 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.809 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 4.810 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 4.812 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 4.813 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 4.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 4.839 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 4.841 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 4.843 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 4.866 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (* 0 (sqrt (/ 1 (sqrt 1.0))))) into (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) 4.873 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) into (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.878 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.880 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 4.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 4.977 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))))) 5.037 * [backup-simplify]: Simplify (+ (* 1.0 (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))))))) (+ (* 0 (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (* 0 (sqrt (/ 1 (sqrt 1.0)))))) into (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 5.073 * [backup-simplify]: Simplify (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) into (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 5.120 * [backup-simplify]: Simplify (+ (* (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) x) (* 1.0 (sqrt (/ 1 (sqrt 1.0)))))) into (- (+ (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) (* 0.15625 (* (sqrt (/ 1 (pow (sqrt 1.0) 9))) (pow x 2)))) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (- (* 0.25 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) x)) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 5.121 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) 5.121 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 5.121 * [taylor]: Taking taylor expansion of 1.0 in x 5.121 * [backup-simplify]: Simplify 1.0 into 1.0 5.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 5.121 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 5.121 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 5.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.121 * [taylor]: Taking taylor expansion of x in x 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.122 * [backup-simplify]: Simplify (sqrt 0) into 0 5.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 5.123 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.123 * [taylor]: Taking taylor expansion of x in x 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (/ 1 1) into 1 5.124 * [taylor]: Taking taylor expansion of 1.0 in x 5.124 * [backup-simplify]: Simplify 1.0 into 1.0 5.124 * [backup-simplify]: Simplify (+ 1 0) into 1 5.125 * [backup-simplify]: Simplify (sqrt 0) into 0 5.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.127 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.127 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 5.128 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.133 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.136 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.136 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.139 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.141 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.141 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 5.141 * [taylor]: Taking taylor expansion of 1.0 in x 5.141 * [backup-simplify]: Simplify 1.0 into 1.0 5.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 5.141 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 5.141 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 5.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.142 * [taylor]: Taking taylor expansion of x in x 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [backup-simplify]: Simplify (/ 1 1) into 1 5.142 * [backup-simplify]: Simplify (sqrt 0) into 0 5.144 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 5.144 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.144 * [taylor]: Taking taylor expansion of x in x 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (/ 1 1) into 1 5.145 * [taylor]: Taking taylor expansion of 1.0 in x 5.145 * [backup-simplify]: Simplify 1.0 into 1.0 5.145 * [backup-simplify]: Simplify (+ 1 0) into 1 5.145 * [backup-simplify]: Simplify (sqrt 0) into 0 5.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.147 * [backup-simplify]: Simplify (+ 0 0) into 0 5.147 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.148 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 5.149 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.157 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.157 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.160 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.162 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.163 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.164 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.167 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.169 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.175 * [backup-simplify]: Simplify (+ 0 0) into 0 5.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.178 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.181 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.184 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.194 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 5.198 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 5.206 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 x)) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 5.207 * [backup-simplify]: Simplify (/ 1.0 (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 5.207 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 5.207 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 5.207 * [taylor]: Taking taylor expansion of 1.0 in x 5.207 * [backup-simplify]: Simplify 1.0 into 1.0 5.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.207 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.207 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.207 * [taylor]: Taking taylor expansion of -1 in x 5.207 * [backup-simplify]: Simplify -1 into -1 5.207 * [taylor]: Taking taylor expansion of x in x 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 1 into 1 5.208 * [backup-simplify]: Simplify (/ -1 1) into -1 5.208 * [backup-simplify]: Simplify (sqrt 0) into 0 5.209 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.209 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.210 * [taylor]: Taking taylor expansion of 1.0 in x 5.210 * [backup-simplify]: Simplify 1.0 into 1.0 5.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.210 * [taylor]: Taking taylor expansion of x in x 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.210 * [backup-simplify]: Simplify (- 1) into -1 5.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.211 * [backup-simplify]: Simplify (sqrt 0) into 0 5.213 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.213 * [backup-simplify]: Simplify (+ 0 0) into 0 5.213 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.214 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 5.215 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.219 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (- 0) into 0 5.220 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.224 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.224 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.228 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.229 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.229 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 5.229 * [taylor]: Taking taylor expansion of 1.0 in x 5.229 * [backup-simplify]: Simplify 1.0 into 1.0 5.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.229 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.229 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.229 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.229 * [taylor]: Taking taylor expansion of -1 in x 5.229 * [backup-simplify]: Simplify -1 into -1 5.229 * [taylor]: Taking taylor expansion of x in x 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (/ -1 1) into -1 5.230 * [backup-simplify]: Simplify (sqrt 0) into 0 5.230 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.230 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.230 * [taylor]: Taking taylor expansion of 1.0 in x 5.230 * [backup-simplify]: Simplify 1.0 into 1.0 5.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.230 * [taylor]: Taking taylor expansion of x in x 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (/ 1 1) into 1 5.231 * [backup-simplify]: Simplify (- 1) into -1 5.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.232 * [backup-simplify]: Simplify (sqrt 0) into 0 5.233 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.233 * [backup-simplify]: Simplify (+ 0 0) into 0 5.233 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.234 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 5.234 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (- 0) into 0 5.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.239 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.240 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.242 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.243 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 5.244 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.244 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 5.246 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.247 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 5.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.254 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.258 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.263 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.276 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 5.283 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 5.294 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- x))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 5.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.294 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 5.294 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 5.294 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 5.294 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.294 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.294 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.294 * [taylor]: Taking taylor expansion of x in x 5.294 * [backup-simplify]: Simplify 0 into 0 5.294 * [backup-simplify]: Simplify 1 into 1 5.294 * [taylor]: Taking taylor expansion of 1.0 in x 5.295 * [backup-simplify]: Simplify 1.0 into 1.0 5.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.295 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.296 * [backup-simplify]: Simplify (+ 1 0) into 1 5.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.297 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.297 * [taylor]: Taking taylor expansion of x in x 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (sqrt 0) into 0 5.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.300 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 5.301 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 5.302 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 5.310 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 5.310 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 5.310 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.310 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.310 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.310 * [taylor]: Taking taylor expansion of x in x 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify 1 into 1 5.310 * [taylor]: Taking taylor expansion of 1.0 in x 5.311 * [backup-simplify]: Simplify 1.0 into 1.0 5.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.311 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.312 * [backup-simplify]: Simplify (+ 1 0) into 1 5.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.314 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.314 * [taylor]: Taking taylor expansion of x in x 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (sqrt 0) into 0 5.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.316 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 5.317 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 5.319 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 5.324 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 5.325 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 5.331 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 5.331 * [backup-simplify]: Simplify (+ 0 0) into 0 5.336 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.339 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.342 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 5.366 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) 5.395 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) 5.413 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (* 3/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) x)) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 5.414 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 5.414 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 5.414 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 5.414 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 5.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.414 * [taylor]: Taking taylor expansion of x in x 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 1 into 1 5.414 * [backup-simplify]: Simplify (/ 1 1) into 1 5.414 * [backup-simplify]: Simplify (sqrt 0) into 0 5.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 5.415 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.415 * [taylor]: Taking taylor expansion of x in x 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [taylor]: Taking taylor expansion of 1.0 in x 5.416 * [backup-simplify]: Simplify 1.0 into 1.0 5.416 * [backup-simplify]: Simplify (+ 1 0) into 1 5.416 * [backup-simplify]: Simplify (sqrt 0) into 0 5.418 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.418 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.419 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.428 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.428 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.431 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.431 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 5.431 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 5.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.431 * [taylor]: Taking taylor expansion of x in x 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (/ 1 1) into 1 5.434 * [backup-simplify]: Simplify (sqrt 0) into 0 5.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 5.436 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.437 * [taylor]: Taking taylor expansion of 1.0 in x 5.437 * [backup-simplify]: Simplify 1.0 into 1.0 5.437 * [backup-simplify]: Simplify (+ 1 0) into 1 5.437 * [backup-simplify]: Simplify (sqrt 0) into 0 5.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.439 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.440 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.445 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.445 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.447 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.447 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.448 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 5.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.454 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.457 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.461 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.467 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 5.467 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 5.467 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 5.467 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.467 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.467 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.467 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.467 * [taylor]: Taking taylor expansion of -1 in x 5.467 * [backup-simplify]: Simplify -1 into -1 5.467 * [taylor]: Taking taylor expansion of x in x 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ -1 1) into -1 5.468 * [backup-simplify]: Simplify (sqrt 0) into 0 5.468 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.468 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.469 * [taylor]: Taking taylor expansion of 1.0 in x 5.469 * [backup-simplify]: Simplify 1.0 into 1.0 5.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.469 * [taylor]: Taking taylor expansion of x in x 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [backup-simplify]: Simplify (- 1) into -1 5.469 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.470 * [backup-simplify]: Simplify (sqrt 0) into 0 5.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.471 * [backup-simplify]: Simplify (+ 0 0) into 0 5.471 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.471 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (- 0) into 0 5.475 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.476 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.477 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.478 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.478 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.478 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.478 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.478 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.478 * [taylor]: Taking taylor expansion of -1 in x 5.478 * [backup-simplify]: Simplify -1 into -1 5.478 * [taylor]: Taking taylor expansion of x in x 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify (/ -1 1) into -1 5.479 * [backup-simplify]: Simplify (sqrt 0) into 0 5.480 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.480 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.480 * [taylor]: Taking taylor expansion of 1.0 in x 5.480 * [backup-simplify]: Simplify 1.0 into 1.0 5.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.480 * [taylor]: Taking taylor expansion of x in x 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.480 * [backup-simplify]: Simplify (/ 1 1) into 1 5.480 * [backup-simplify]: Simplify (- 1) into -1 5.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.481 * [backup-simplify]: Simplify (sqrt 0) into 0 5.482 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.482 * [backup-simplify]: Simplify (+ 0 0) into 0 5.482 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.483 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (- 0) into 0 5.486 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.488 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.488 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.490 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.490 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.490 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 5.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify (- 0) into 0 5.497 * [backup-simplify]: Simplify (+ 0 0) into 0 5.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.502 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.507 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.515 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.524 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 5.525 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 5.525 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 5.525 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 5.525 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 5.525 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.525 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.525 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.525 * [taylor]: Taking taylor expansion of x in x 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify 1 into 1 5.525 * [taylor]: Taking taylor expansion of 1.0 in x 5.525 * [backup-simplify]: Simplify 1.0 into 1.0 5.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.526 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.527 * [backup-simplify]: Simplify (+ 1 0) into 1 5.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.528 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.528 * [taylor]: Taking taylor expansion of x in x 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (sqrt 0) into 0 5.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.531 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 5.532 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 5.534 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 5.539 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 5.539 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 5.539 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 5.540 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.540 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.540 * [taylor]: Taking taylor expansion of x in x 5.540 * [backup-simplify]: Simplify 0 into 0 5.540 * [backup-simplify]: Simplify 1 into 1 5.540 * [taylor]: Taking taylor expansion of 1.0 in x 5.540 * [backup-simplify]: Simplify 1.0 into 1.0 5.540 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.540 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.540 * [backup-simplify]: Simplify (+ 1 0) into 1 5.543 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.543 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.544 * [taylor]: Taking taylor expansion of x in x 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [backup-simplify]: Simplify (sqrt 0) into 0 5.545 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.546 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 5.546 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 5.547 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 5.550 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 5.551 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 5.555 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 5.556 * [backup-simplify]: Simplify (+ 0 0) into 0 5.559 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.564 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 5.591 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) 5.608 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) 5.632 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (* 3/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) x)) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 5.632 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 5.632 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 5.632 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 5.632 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 5.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.632 * [taylor]: Taking taylor expansion of x in x 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [backup-simplify]: Simplify (sqrt 0) into 0 5.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 5.635 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.635 * [taylor]: Taking taylor expansion of x in x 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 1 into 1 5.635 * [backup-simplify]: Simplify (/ 1 1) into 1 5.635 * [taylor]: Taking taylor expansion of 1.0 in x 5.635 * [backup-simplify]: Simplify 1.0 into 1.0 5.636 * [backup-simplify]: Simplify (+ 1 0) into 1 5.636 * [backup-simplify]: Simplify (sqrt 0) into 0 5.637 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.638 * [backup-simplify]: Simplify (+ 0 0) into 0 5.638 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.639 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.648 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.649 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.652 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.652 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 5.652 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 5.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.652 * [taylor]: Taking taylor expansion of x in x 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (/ 1 1) into 1 5.653 * [backup-simplify]: Simplify (sqrt 0) into 0 5.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 5.654 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.654 * [taylor]: Taking taylor expansion of x in x 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [backup-simplify]: Simplify (/ 1 1) into 1 5.655 * [taylor]: Taking taylor expansion of 1.0 in x 5.655 * [backup-simplify]: Simplify 1.0 into 1.0 5.655 * [backup-simplify]: Simplify (+ 1 0) into 1 5.656 * [backup-simplify]: Simplify (sqrt 0) into 0 5.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.658 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.659 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.669 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.670 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.672 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.673 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.674 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.680 * [backup-simplify]: Simplify (+ 0 0) into 0 5.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.684 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.689 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.694 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.700 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 5.700 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 5.700 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 5.700 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.700 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.700 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.700 * [taylor]: Taking taylor expansion of -1 in x 5.700 * [backup-simplify]: Simplify -1 into -1 5.700 * [taylor]: Taking taylor expansion of x in x 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (/ -1 1) into -1 5.701 * [backup-simplify]: Simplify (sqrt 0) into 0 5.701 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.701 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.702 * [taylor]: Taking taylor expansion of 1.0 in x 5.702 * [backup-simplify]: Simplify 1.0 into 1.0 5.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.702 * [taylor]: Taking taylor expansion of x in x 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 1 into 1 5.702 * [backup-simplify]: Simplify (/ 1 1) into 1 5.702 * [backup-simplify]: Simplify (- 1) into -1 5.702 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.703 * [backup-simplify]: Simplify (sqrt 0) into 0 5.703 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.704 * [backup-simplify]: Simplify (+ 0 0) into 0 5.704 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.704 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify (- 0) into 0 5.708 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.709 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.710 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.711 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.711 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.711 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.711 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.711 * [taylor]: Taking taylor expansion of -1 in x 5.711 * [backup-simplify]: Simplify -1 into -1 5.711 * [taylor]: Taking taylor expansion of x in x 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify 1 into 1 5.711 * [backup-simplify]: Simplify (/ -1 1) into -1 5.712 * [backup-simplify]: Simplify (sqrt 0) into 0 5.712 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.712 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.713 * [taylor]: Taking taylor expansion of 1.0 in x 5.713 * [backup-simplify]: Simplify 1.0 into 1.0 5.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.713 * [taylor]: Taking taylor expansion of x in x 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (/ 1 1) into 1 5.713 * [backup-simplify]: Simplify (- 1) into -1 5.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.714 * [backup-simplify]: Simplify (sqrt 0) into 0 5.714 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.715 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 5.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.718 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.718 * [backup-simplify]: Simplify (- 0) into 0 5.719 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.720 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.721 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.722 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 5.722 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 5.723 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 5.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.726 * [backup-simplify]: Simplify (- 0) into 0 5.727 * [backup-simplify]: Simplify (+ 0 0) into 0 5.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.729 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.732 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.737 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 5.742 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 5.742 * * * [progress]: simplifying candidates 5.758 * [simplify]: Simplifying: (expm1 (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (- (log 1.0) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) 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inf + 511954 8.509 * * [simplify]: Extracting #8: cost 2 inf + 548732 8.686 * * [simplify]: Extracting #9: cost 0 inf + 549666 8.873 * * [simplify]: Extracting #10: cost 0 inf + 549366 9.093 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* 1.0 1.0) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 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1.0)) (sqrt x))))) (/ 1.0 (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1.0) (/ (/ 1.0 (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.0 1.0 1.0 1.0 (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.0 (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt 1.0)) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0)) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1.0) (/ 1.0 (sqrt (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x))))) (/ 1.0 (sqrt (+ x (- 1.0 x)))) (expm1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x)))) (sqrt (fma (- (sqrt x) (sqrt (+ x 1.0))) (sqrt x) (+ x 1.0))) (sqrt (+ x (- 1.0 x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) 1/2 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x)))) (sqrt (fma (- (sqrt x) (sqrt (+ x 1.0))) (sqrt x) (+ x 1.0))) (sqrt (+ x (- 1.0 x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) 1/2 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ (/ 1.0 (sqrt 1.0)) (- (/ 0.375 (/ (pow (sqrt 1.0) 5) (* x x))) (fma (/ 0.5 (sqrt 1.0)) (/ x 1.0) (- (- (fma (/ +nan.0 (sqrt 1.0)) (/ (* x x) 1.0) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0)))) (* +nan.0 (* (/ x 1.0) (/ x 1.0)))))))) (+ (- (/ +nan.0 x) +nan.0) (/ (- +nan.0) (* x x))) (+ (- (/ +nan.0 x) +nan.0) (/ (- +nan.0) (* x x))) (- (fma (* (* x x) (sqrt (/ 1 (pow (sqrt 1.0) 9)))) 0.15625 (* (sqrt (/ 1 (sqrt 1.0))) 1.0)) (- (* x (fma (sqrt (/ (/ 1 (sqrt 1.0)) 1.0)) +nan.0 (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) (fma (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (* x x)) (- +nan.0) (fma (* +nan.0 (* x x)) (sqrt (/ (/ 1 (sqrt 1.0)) 1.0)) (* (* +nan.0 (* x x)) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))) (+ (- (* (sqrt +nan.0) 1.0) (/ (/ +nan.0 (* (sqrt +nan.0) +nan.0)) (* x x))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (+ (- (* (sqrt +nan.0) 1.0) (/ (/ +nan.0 (* (sqrt +nan.0) +nan.0)) (* x x))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (fma (* 1/4 x) (sqrt (/ (/ 1 (sqrt 1.0)) 1.0)) (- (sqrt (sqrt 1.0)) (- (fma (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* x x) (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (* (* x x) 3/32))) (- (* (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) x) (* (* x x) (- (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) +nan.0) (* +nan.0 (sqrt (/ (/ 1 (sqrt 1.0)) 1.0))))))))) (+ (- (sqrt +nan.0) (/ (/ +nan.0 (* (sqrt +nan.0) +nan.0)) (* x x))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (+ (- (sqrt +nan.0) (/ (/ +nan.0 (* (sqrt +nan.0) +nan.0)) (* x x))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (fma (* 1/4 x) (sqrt (/ (/ 1 (sqrt 1.0)) 1.0)) (- (sqrt (sqrt 1.0)) (- (fma (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* x x) (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (* (* x x) 3/32))) (- (* (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) x) (* (* x x) (- (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) +nan.0) (* +nan.0 (sqrt (/ (/ 1 (sqrt 1.0)) 1.0))))))))) (+ (- (sqrt +nan.0) (/ (/ +nan.0 (* (sqrt +nan.0) +nan.0)) (* x x))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (+ (- (sqrt +nan.0) (/ (/ +nan.0 (* (sqrt +nan.0) +nan.0)) (* x x))) (- (/ (/ +nan.0 x) (sqrt +nan.0)) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) 9.153 * * * [progress]: adding candidates to table 10.629 * * [progress]: iteration 4 / 4 10.629 * * * [progress]: picking best candidate 10.669 * * * * [pick]: Picked # 10.669 * * * [progress]: localizing error 10.735 * * * [progress]: generating rewritten candidates 10.735 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 10.802 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 10.891 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 11.172 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 11.227 * * * [progress]: generating series expansions 11.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 11.227 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 11.227 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 11.227 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 11.227 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 11.227 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 11.227 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 11.227 * [taylor]: Taking taylor expansion of x in x 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 1 into 1 11.227 * [taylor]: Taking taylor expansion of 1.0 in x 11.227 * [backup-simplify]: Simplify 1.0 into 1.0 11.228 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.228 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.228 * [backup-simplify]: Simplify (+ 1 0) into 1 11.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 11.229 * [taylor]: Taking taylor expansion of (sqrt x) in x 11.229 * [taylor]: Taking taylor expansion of x in x 11.229 * [backup-simplify]: Simplify 0 into 0 11.229 * [backup-simplify]: Simplify 1 into 1 11.230 * [backup-simplify]: Simplify (sqrt 0) into 0 11.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.231 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 11.232 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 11.233 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 11.236 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 11.236 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 11.236 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 11.236 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 11.236 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 11.236 * [taylor]: Taking taylor expansion of x in x 11.236 * [backup-simplify]: Simplify 0 into 0 11.236 * [backup-simplify]: Simplify 1 into 1 11.236 * [taylor]: Taking taylor expansion of 1.0 in x 11.236 * [backup-simplify]: Simplify 1.0 into 1.0 11.236 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.236 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.237 * [backup-simplify]: Simplify (+ 1 0) into 1 11.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 11.238 * [taylor]: Taking taylor expansion of (sqrt x) in x 11.238 * [taylor]: Taking taylor expansion of x in x 11.238 * [backup-simplify]: Simplify 0 into 0 11.238 * [backup-simplify]: Simplify 1 into 1 11.238 * [backup-simplify]: Simplify (sqrt 0) into 0 11.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.239 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 11.240 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 11.241 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 11.244 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 11.244 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 11.249 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 11.249 * [backup-simplify]: Simplify (+ 0 0) into 0 11.252 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 11.254 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.256 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 11.277 * [backup-simplify]: Simplify (/ (- (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) 11.309 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) 11.340 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (* 3/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) x)) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 11.341 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 11.341 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 11.341 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 11.341 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.341 * [taylor]: Taking taylor expansion of x in x 11.341 * [backup-simplify]: Simplify 0 into 0 11.341 * [backup-simplify]: Simplify 1 into 1 11.341 * [backup-simplify]: Simplify (/ 1 1) into 1 11.342 * [backup-simplify]: Simplify (sqrt 0) into 0 11.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.343 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.343 * [taylor]: Taking taylor expansion of x in x 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify 1 into 1 11.344 * [backup-simplify]: Simplify (/ 1 1) into 1 11.344 * [taylor]: Taking taylor expansion of 1.0 in x 11.344 * [backup-simplify]: Simplify 1.0 into 1.0 11.344 * [backup-simplify]: Simplify (+ 1 0) into 1 11.345 * [backup-simplify]: Simplify (sqrt 0) into 0 11.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.346 * [backup-simplify]: Simplify (+ 0 0) into 0 11.347 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.347 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 11.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.351 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.352 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.355 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.356 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.359 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 11.359 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 11.359 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.359 * [taylor]: Taking taylor expansion of x in x 11.359 * [backup-simplify]: Simplify 0 into 0 11.359 * [backup-simplify]: Simplify 1 into 1 11.359 * [backup-simplify]: Simplify (/ 1 1) into 1 11.360 * [backup-simplify]: Simplify (sqrt 0) into 0 11.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.361 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.361 * [taylor]: Taking taylor expansion of x in x 11.361 * [backup-simplify]: Simplify 0 into 0 11.361 * [backup-simplify]: Simplify 1 into 1 11.362 * [backup-simplify]: Simplify (/ 1 1) into 1 11.362 * [taylor]: Taking taylor expansion of 1.0 in x 11.362 * [backup-simplify]: Simplify 1.0 into 1.0 11.362 * [backup-simplify]: Simplify (+ 1 0) into 1 11.363 * [backup-simplify]: Simplify (sqrt 0) into 0 11.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.364 * [backup-simplify]: Simplify (+ 0 0) into 0 11.365 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.366 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 11.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.370 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.371 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.374 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.374 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.377 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 11.377 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.378 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 11.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.384 * [backup-simplify]: Simplify (+ 0 0) into 0 11.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.389 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.395 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 11.401 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 11.410 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 11.411 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 11.411 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 11.411 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 11.411 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.411 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.411 * [taylor]: Taking taylor expansion of -1 in x 11.411 * [backup-simplify]: Simplify -1 into -1 11.411 * [taylor]: Taking taylor expansion of x in x 11.411 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify 1 into 1 11.412 * [backup-simplify]: Simplify (/ -1 1) into -1 11.412 * [backup-simplify]: Simplify (sqrt 0) into 0 11.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.413 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.413 * [taylor]: Taking taylor expansion of 1.0 in x 11.413 * [backup-simplify]: Simplify 1.0 into 1.0 11.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.413 * [taylor]: Taking taylor expansion of x in x 11.413 * [backup-simplify]: Simplify 0 into 0 11.413 * [backup-simplify]: Simplify 1 into 1 11.414 * [backup-simplify]: Simplify (/ 1 1) into 1 11.414 * [backup-simplify]: Simplify (- 1) into -1 11.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.415 * [backup-simplify]: Simplify (sqrt 0) into 0 11.416 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.417 * [backup-simplify]: Simplify (+ 0 0) into 0 11.417 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.418 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 11.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.422 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.423 * [backup-simplify]: Simplify (- 0) into 0 11.424 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.426 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.426 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.428 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 11.428 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 11.428 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.428 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.428 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.428 * [taylor]: Taking taylor expansion of -1 in x 11.428 * [backup-simplify]: Simplify -1 into -1 11.428 * [taylor]: Taking taylor expansion of x in x 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify 1 into 1 11.428 * [backup-simplify]: Simplify (/ -1 1) into -1 11.428 * [backup-simplify]: Simplify (sqrt 0) into 0 11.429 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.429 * [taylor]: Taking taylor expansion of 1.0 in x 11.429 * [backup-simplify]: Simplify 1.0 into 1.0 11.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.429 * [taylor]: Taking taylor expansion of x in x 11.429 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.430 * [backup-simplify]: Simplify (/ 1 1) into 1 11.430 * [backup-simplify]: Simplify (- 1) into -1 11.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.430 * [backup-simplify]: Simplify (sqrt 0) into 0 11.431 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.431 * [backup-simplify]: Simplify (+ 0 0) into 0 11.432 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.432 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 11.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.434 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.435 * [backup-simplify]: Simplify (- 0) into 0 11.435 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.439 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.439 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.441 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 11.441 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.442 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 11.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.445 * [backup-simplify]: Simplify (- 0) into 0 11.445 * [backup-simplify]: Simplify (+ 0 0) into 0 11.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.448 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.451 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 11.458 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 11.468 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 11.468 * * * * [progress]: [ 2 / 4 ] generating series at (2) 11.468 * [backup-simplify]: Simplify (/ (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 11.468 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 11.468 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 11.468 * [taylor]: Taking taylor expansion of 1.0 in x 11.469 * [backup-simplify]: Simplify 1.0 into 1.0 11.469 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 11.469 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 11.469 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 11.469 * [taylor]: Taking taylor expansion of x in x 11.469 * [backup-simplify]: Simplify 0 into 0 11.469 * [backup-simplify]: Simplify 1 into 1 11.469 * [taylor]: Taking taylor expansion of 1.0 in x 11.469 * [backup-simplify]: Simplify 1.0 into 1.0 11.469 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.470 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.470 * [backup-simplify]: Simplify (+ 1 0) into 1 11.472 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 11.472 * [taylor]: Taking taylor expansion of (sqrt x) in x 11.472 * [taylor]: Taking taylor expansion of x in x 11.472 * [backup-simplify]: Simplify 0 into 0 11.472 * [backup-simplify]: Simplify 1 into 1 11.472 * [backup-simplify]: Simplify (sqrt 0) into 0 11.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.474 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 11.475 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 11.475 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 11.475 * [taylor]: Taking taylor expansion of 1.0 in x 11.475 * [backup-simplify]: Simplify 1.0 into 1.0 11.475 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 11.475 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 11.475 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 11.475 * [taylor]: Taking taylor expansion of x in x 11.475 * [backup-simplify]: Simplify 0 into 0 11.475 * [backup-simplify]: Simplify 1 into 1 11.475 * [taylor]: Taking taylor expansion of 1.0 in x 11.476 * [backup-simplify]: Simplify 1.0 into 1.0 11.476 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.476 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.477 * [backup-simplify]: Simplify (+ 1 0) into 1 11.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 11.478 * [taylor]: Taking taylor expansion of (sqrt x) in x 11.478 * [taylor]: Taking taylor expansion of x in x 11.478 * [backup-simplify]: Simplify 0 into 0 11.478 * [backup-simplify]: Simplify 1 into 1 11.479 * [backup-simplify]: Simplify (sqrt 0) into 0 11.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.481 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 11.482 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 11.483 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 11.484 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 11.491 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 11.498 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) into (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 11.498 * [backup-simplify]: Simplify (+ 0 0) into 0 11.501 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 11.503 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.504 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 11.534 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 11.561 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 11.588 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow x 2)) (+ (* (- (+ (* 0.5 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* 0.5 (/ x (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))))))))))) 11.588 * [backup-simplify]: Simplify (/ (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 11.588 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 11.588 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 11.588 * [taylor]: Taking taylor expansion of 1.0 in x 11.588 * [backup-simplify]: Simplify 1.0 into 1.0 11.588 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.589 * [taylor]: Taking taylor expansion of x in x 11.589 * [backup-simplify]: Simplify 0 into 0 11.589 * [backup-simplify]: Simplify 1 into 1 11.589 * [backup-simplify]: Simplify (/ 1 1) into 1 11.589 * [backup-simplify]: Simplify (sqrt 0) into 0 11.590 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.590 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.590 * [taylor]: Taking taylor expansion of x in x 11.590 * [backup-simplify]: Simplify 0 into 0 11.590 * [backup-simplify]: Simplify 1 into 1 11.590 * [backup-simplify]: Simplify (/ 1 1) into 1 11.590 * [taylor]: Taking taylor expansion of 1.0 in x 11.590 * [backup-simplify]: Simplify 1.0 into 1.0 11.591 * [backup-simplify]: Simplify (+ 1 0) into 1 11.591 * [backup-simplify]: Simplify (sqrt 0) into 0 11.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.592 * [backup-simplify]: Simplify (+ 0 0) into 0 11.592 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.593 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 11.593 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 11.593 * [taylor]: Taking taylor expansion of 1.0 in x 11.593 * [backup-simplify]: Simplify 1.0 into 1.0 11.593 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.593 * [taylor]: Taking taylor expansion of x in x 11.593 * [backup-simplify]: Simplify 0 into 0 11.593 * [backup-simplify]: Simplify 1 into 1 11.593 * [backup-simplify]: Simplify (/ 1 1) into 1 11.593 * [backup-simplify]: Simplify (sqrt 0) into 0 11.594 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.594 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.594 * [taylor]: Taking taylor expansion of x in x 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 1 into 1 11.594 * [backup-simplify]: Simplify (/ 1 1) into 1 11.594 * [taylor]: Taking taylor expansion of 1.0 in x 11.594 * [backup-simplify]: Simplify 1.0 into 1.0 11.595 * [backup-simplify]: Simplify (+ 1 0) into 1 11.595 * [backup-simplify]: Simplify (sqrt 0) into 0 11.596 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.596 * [backup-simplify]: Simplify (+ 0 0) into 0 11.596 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.597 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 11.597 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.599 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.600 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.601 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.602 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.604 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.604 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.608 * [backup-simplify]: Simplify (+ 0 0) into 0 11.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.613 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.618 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.619 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.620 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 11.621 * [backup-simplify]: Simplify (/ (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 11.621 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 11.621 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 11.621 * [taylor]: Taking taylor expansion of 1.0 in x 11.621 * [backup-simplify]: Simplify 1.0 into 1.0 11.621 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.621 * [taylor]: Taking taylor expansion of -1 in x 11.621 * [backup-simplify]: Simplify -1 into -1 11.621 * [taylor]: Taking taylor expansion of x in x 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 1 into 1 11.621 * [backup-simplify]: Simplify (/ -1 1) into -1 11.622 * [backup-simplify]: Simplify (sqrt 0) into 0 11.623 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.623 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.623 * [taylor]: Taking taylor expansion of 1.0 in x 11.623 * [backup-simplify]: Simplify 1.0 into 1.0 11.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.623 * [taylor]: Taking taylor expansion of x in x 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify 1 into 1 11.624 * [backup-simplify]: Simplify (/ 1 1) into 1 11.624 * [backup-simplify]: Simplify (- 1) into -1 11.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.625 * [backup-simplify]: Simplify (sqrt 0) into 0 11.626 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.627 * [backup-simplify]: Simplify (+ 0 0) into 0 11.627 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.628 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 11.628 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 11.628 * [taylor]: Taking taylor expansion of 1.0 in x 11.628 * [backup-simplify]: Simplify 1.0 into 1.0 11.628 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.628 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.628 * [taylor]: Taking taylor expansion of -1 in x 11.628 * [backup-simplify]: Simplify -1 into -1 11.628 * [taylor]: Taking taylor expansion of x in x 11.628 * [backup-simplify]: Simplify 0 into 0 11.628 * [backup-simplify]: Simplify 1 into 1 11.629 * [backup-simplify]: Simplify (/ -1 1) into -1 11.629 * [backup-simplify]: Simplify (sqrt 0) into 0 11.630 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.630 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.631 * [taylor]: Taking taylor expansion of 1.0 in x 11.631 * [backup-simplify]: Simplify 1.0 into 1.0 11.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.631 * [taylor]: Taking taylor expansion of x in x 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify 1 into 1 11.631 * [backup-simplify]: Simplify (/ 1 1) into 1 11.632 * [backup-simplify]: Simplify (- 1) into -1 11.632 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.632 * [backup-simplify]: Simplify (sqrt 0) into 0 11.634 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.634 * [backup-simplify]: Simplify (+ 0 0) into 0 11.635 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.636 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 11.636 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.638 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.639 * [backup-simplify]: Simplify (- 0) into 0 11.639 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.641 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.642 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.644 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.648 * [backup-simplify]: Simplify (- 0) into 0 11.648 * [backup-simplify]: Simplify (+ 0 0) into 0 11.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.651 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.656 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 11.656 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.657 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 11.657 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 11.657 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3)) 11.657 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3)) in (x) around 0 11.657 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3)) in x 11.657 * [taylor]: Taking taylor expansion of (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) in x 11.657 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 11.657 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 11.657 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 11.657 * [taylor]: Taking taylor expansion of x in x 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 1 into 1 11.657 * [taylor]: Taking taylor expansion of 1.0 in x 11.657 * [backup-simplify]: Simplify 1.0 into 1.0 11.658 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.658 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.658 * [backup-simplify]: Simplify (+ 1 0) into 1 11.659 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 11.659 * [taylor]: Taking taylor expansion of (sqrt x) in x 11.659 * [taylor]: Taking taylor expansion of x in x 11.659 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify 1 into 1 11.660 * [backup-simplify]: Simplify (sqrt 0) into 0 11.660 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.661 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 11.662 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 11.663 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (sqrt 1.0) 2)) into (pow (sqrt 1.0) 3) 11.664 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1.0) 3)) into (sqrt (pow (sqrt 1.0) 3)) 11.665 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 11.670 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0)) (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))) into (- 1 (* +nan.0 (sqrt 1.0))) 11.676 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- 1 (* +nan.0 (sqrt 1.0)))) (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (pow (sqrt 1.0) 2))) into (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))) 11.684 * [backup-simplify]: Simplify (/ (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))) (* 2 (sqrt (pow (sqrt 1.0) 3)))) into (* 1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))))) 11.684 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3)) in x 11.684 * [taylor]: Taking taylor expansion of (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) in x 11.684 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 11.684 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 11.684 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 11.684 * [taylor]: Taking taylor expansion of x in x 11.684 * [backup-simplify]: Simplify 0 into 0 11.684 * [backup-simplify]: Simplify 1 into 1 11.684 * [taylor]: Taking taylor expansion of 1.0 in x 11.684 * [backup-simplify]: Simplify 1.0 into 1.0 11.685 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.685 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 11.685 * [backup-simplify]: Simplify (+ 1 0) into 1 11.687 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 11.687 * [taylor]: Taking taylor expansion of (sqrt x) in x 11.687 * [taylor]: Taking taylor expansion of x in x 11.687 * [backup-simplify]: Simplify 0 into 0 11.687 * [backup-simplify]: Simplify 1 into 1 11.688 * [backup-simplify]: Simplify (sqrt 0) into 0 11.689 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.690 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 11.691 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 11.693 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (sqrt 1.0) 2)) into (pow (sqrt 1.0) 3) 11.695 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1.0) 3)) into (sqrt (pow (sqrt 1.0) 3)) 11.696 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 11.706 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0)) (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))) into (- 1 (* +nan.0 (sqrt 1.0))) 11.715 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- 1 (* +nan.0 (sqrt 1.0)))) (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (pow (sqrt 1.0) 2))) into (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))) 11.723 * [backup-simplify]: Simplify (/ (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))) (* 2 (sqrt (pow (sqrt 1.0) 3)))) into (* 1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))))) 11.725 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1.0) 3)) into (sqrt (pow (sqrt 1.0) 3)) 11.736 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))))) into (* 1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))))) 11.737 * [backup-simplify]: Simplify (+ 0 0) into 0 11.742 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 11.746 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.748 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 11.776 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0)))) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0)) (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0))))) 11.811 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- +nan.0)))))) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (- 1 (* +nan.0 (sqrt 1.0)))) (* (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (pow (sqrt 1.0) 2)))) into (- (* 3/8 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 11.833 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (* 1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))))) 2) (+)) (* 2 (sqrt (pow (sqrt 1.0) 3)))) into (* -1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (sqrt 1.0)) (- (* 3/16 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) 11.844 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (sqrt 1.0)) (- (* 3/16 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) into (* -1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/16 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))) 11.870 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/16 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (* 3/2 (sqrt 1.0)) (* +nan.0 (pow (sqrt 1.0) 2))))) x) (sqrt (pow (sqrt 1.0) 3)))) into (- (+ (* 3/4 (* (sqrt (/ 1 (sqrt 1.0))) x)) (sqrt (pow (sqrt 1.0) 3))) (+ (* +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (pow x 2))) (- (* 3/32 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (+ (* +nan.0 (* (sqrt (sqrt 1.0)) (pow x 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2))) (- (* +nan.0 (* (sqrt (sqrt 1.0)) x))))))))) 11.870 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (pow (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3)) 11.870 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3)) in (x) around 0 11.870 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3)) in x 11.870 * [taylor]: Taking taylor expansion of (pow (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3) in x 11.870 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.871 * [taylor]: Taking taylor expansion of x in x 11.871 * [backup-simplify]: Simplify 0 into 0 11.871 * [backup-simplify]: Simplify 1 into 1 11.871 * [backup-simplify]: Simplify (/ 1 1) into 1 11.871 * [backup-simplify]: Simplify (sqrt 0) into 0 11.872 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.872 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.872 * [taylor]: Taking taylor expansion of x in x 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify 1 into 1 11.872 * [backup-simplify]: Simplify (/ 1 1) into 1 11.872 * [taylor]: Taking taylor expansion of 1.0 in x 11.872 * [backup-simplify]: Simplify 1.0 into 1.0 11.873 * [backup-simplify]: Simplify (+ 1 0) into 1 11.873 * [backup-simplify]: Simplify (sqrt 0) into 0 11.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.874 * [backup-simplify]: Simplify (+ 0 0) into 0 11.874 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.875 * [backup-simplify]: Simplify (* (- +nan.0) (- +nan.0)) into +nan.0 11.875 * [backup-simplify]: Simplify (* (- +nan.0) +nan.0) into +nan.0 11.876 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.878 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.879 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.881 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.881 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.884 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (- +nan.0))) into (- +nan.0) 11.886 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) 11.887 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.887 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3)) in x 11.887 * [taylor]: Taking taylor expansion of (pow (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3) in x 11.887 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 11.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 11.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.887 * [taylor]: Taking taylor expansion of x in x 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify 1 into 1 11.888 * [backup-simplify]: Simplify (/ 1 1) into 1 11.888 * [backup-simplify]: Simplify (sqrt 0) into 0 11.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 11.889 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.889 * [taylor]: Taking taylor expansion of x in x 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 1 into 1 11.889 * [backup-simplify]: Simplify (/ 1 1) into 1 11.889 * [taylor]: Taking taylor expansion of 1.0 in x 11.889 * [backup-simplify]: Simplify 1.0 into 1.0 11.890 * [backup-simplify]: Simplify (+ 1 0) into 1 11.890 * [backup-simplify]: Simplify (sqrt 0) into 0 11.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.891 * [backup-simplify]: Simplify (+ 0 0) into 0 11.891 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.892 * [backup-simplify]: Simplify (* (- +nan.0) (- +nan.0)) into +nan.0 11.893 * [backup-simplify]: Simplify (* (- +nan.0) +nan.0) into +nan.0 11.893 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.895 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.896 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.898 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.898 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.900 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (- +nan.0))) into (- +nan.0) 11.901 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) 11.903 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.903 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.903 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 11.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.908 * [backup-simplify]: Simplify (+ 0 0) into 0 11.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.911 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.913 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (- +nan.0)))) into (- +nan.0) 11.917 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0) 11.922 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 11.930 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 11.938 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 11.939 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (pow (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3)) 11.939 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3)) in (x) around 0 11.939 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3)) in x 11.939 * [taylor]: Taking taylor expansion of (pow (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3) in x 11.939 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.939 * [taylor]: Taking taylor expansion of -1 in x 11.939 * [backup-simplify]: Simplify -1 into -1 11.939 * [taylor]: Taking taylor expansion of x in x 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.940 * [backup-simplify]: Simplify (/ -1 1) into -1 11.940 * [backup-simplify]: Simplify (sqrt 0) into 0 11.941 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.941 * [taylor]: Taking taylor expansion of 1.0 in x 11.942 * [backup-simplify]: Simplify 1.0 into 1.0 11.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.942 * [taylor]: Taking taylor expansion of x in x 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 1 into 1 11.942 * [backup-simplify]: Simplify (/ 1 1) into 1 11.942 * [backup-simplify]: Simplify (- 1) into -1 11.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.943 * [backup-simplify]: Simplify (sqrt 0) into 0 11.944 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.945 * [backup-simplify]: Simplify (+ 0 0) into 0 11.945 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.946 * [backup-simplify]: Simplify (* (- +nan.0) (- +nan.0)) into +nan.0 11.947 * [backup-simplify]: Simplify (* (- +nan.0) +nan.0) into +nan.0 11.947 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.952 * [backup-simplify]: Simplify (- 0) into 0 11.953 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.956 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.956 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.959 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (- +nan.0))) into (- +nan.0) 11.961 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) 11.963 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.963 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3)) in x 11.963 * [taylor]: Taking taylor expansion of (pow (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3) in x 11.963 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 11.963 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 11.963 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.963 * [taylor]: Taking taylor expansion of -1 in x 11.963 * [backup-simplify]: Simplify -1 into -1 11.964 * [taylor]: Taking taylor expansion of x in x 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify 1 into 1 11.964 * [backup-simplify]: Simplify (/ -1 1) into -1 11.964 * [backup-simplify]: Simplify (sqrt 0) into 0 11.966 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.966 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 11.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.966 * [taylor]: Taking taylor expansion of 1.0 in x 11.966 * [backup-simplify]: Simplify 1.0 into 1.0 11.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.966 * [taylor]: Taking taylor expansion of x in x 11.966 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify 1 into 1 11.966 * [backup-simplify]: Simplify (/ 1 1) into 1 11.967 * [backup-simplify]: Simplify (- 1) into -1 11.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.967 * [backup-simplify]: Simplify (sqrt 0) into 0 11.969 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.969 * [backup-simplify]: Simplify (+ 0 0) into 0 11.969 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.971 * [backup-simplify]: Simplify (* (- +nan.0) (- +nan.0)) into +nan.0 11.971 * [backup-simplify]: Simplify (* (- +nan.0) +nan.0) into +nan.0 11.972 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.976 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.977 * [backup-simplify]: Simplify (- 0) into 0 11.977 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.981 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.981 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 11.984 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (- +nan.0))) into (- +nan.0) 11.986 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) 11.988 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 11.989 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 11.990 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 11.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.996 * [backup-simplify]: Simplify (- 0) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 12.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.001 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.007 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) (- +nan.0)))) into (- +nan.0) 12.010 * [backup-simplify]: Simplify (+ (* (- +nan.0) (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0) 12.013 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 12.017 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 12.023 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 12.023 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 12.023 * [backup-simplify]: Simplify (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) 12.023 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 12.023 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 12.023 * [taylor]: Taking taylor expansion of 1.0 in x 12.023 * [backup-simplify]: Simplify 1.0 into 1.0 12.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 12.023 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 12.023 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 12.023 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 12.023 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 12.023 * [taylor]: Taking taylor expansion of x in x 12.023 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify 1 into 1 12.023 * [taylor]: Taking taylor expansion of 1.0 in x 12.023 * [backup-simplify]: Simplify 1.0 into 1.0 12.023 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.024 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.024 * [backup-simplify]: Simplify (+ 1 0) into 1 12.025 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 12.025 * [taylor]: Taking taylor expansion of (sqrt x) in x 12.025 * [taylor]: Taking taylor expansion of x in x 12.025 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify 1 into 1 12.025 * [backup-simplify]: Simplify (sqrt 0) into 0 12.026 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.027 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 12.027 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 12.028 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 12.029 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 12.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 12.045 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 12.045 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 12.045 * [taylor]: Taking taylor expansion of 1.0 in x 12.045 * [backup-simplify]: Simplify 1.0 into 1.0 12.045 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 12.045 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 12.045 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 12.045 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 12.045 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 12.045 * [taylor]: Taking taylor expansion of x in x 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 1 into 1 12.045 * [taylor]: Taking taylor expansion of 1.0 in x 12.045 * [backup-simplify]: Simplify 1.0 into 1.0 12.046 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.046 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.046 * [backup-simplify]: Simplify (+ 1 0) into 1 12.048 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 12.048 * [taylor]: Taking taylor expansion of (sqrt x) in x 12.048 * [taylor]: Taking taylor expansion of x in x 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify 1 into 1 12.048 * [backup-simplify]: Simplify (sqrt 0) into 0 12.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.051 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 12.052 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 12.053 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 12.055 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 12.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) 12.080 * [backup-simplify]: Simplify (/ (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 12.082 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 12.083 * [backup-simplify]: Simplify (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) into (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) 12.096 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (* 0 (sqrt (/ 1 (sqrt 1.0))))) into (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) 12.104 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) into (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) 12.105 * [backup-simplify]: Simplify (+ 0 0) into 0 12.108 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 12.110 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.111 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 12.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) 12.193 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 4)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))))) 12.228 * [backup-simplify]: Simplify (+ (* 1.0 (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))))))))))) (+ (* 0 (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ 1 (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (* 0 (sqrt (/ 1 (sqrt 1.0)))))) into (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 12.259 * [backup-simplify]: Simplify (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) into (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) 12.291 * [backup-simplify]: Simplify (+ (* (- (* 0.15625 (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) x) (* 1.0 (sqrt (/ 1 (sqrt 1.0)))))) into (- (+ (* 1.0 (sqrt (/ 1 (sqrt 1.0)))) (* 0.15625 (* (sqrt (/ 1 (pow (sqrt 1.0) 9))) (pow x 2)))) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) x)) (- (* 0.25 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) x)) (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (pow x 2))) (- (+ (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 7))) (pow x 2))) (- (* +nan.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 3))) (pow x 2)))))))))) 12.291 * [backup-simplify]: Simplify (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) 12.291 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 12.291 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 12.291 * [taylor]: Taking taylor expansion of 1.0 in x 12.291 * [backup-simplify]: Simplify 1.0 into 1.0 12.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 12.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 12.291 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 12.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 12.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.291 * [taylor]: Taking taylor expansion of x in x 12.291 * [backup-simplify]: Simplify 0 into 0 12.291 * [backup-simplify]: Simplify 1 into 1 12.291 * [backup-simplify]: Simplify (/ 1 1) into 1 12.292 * [backup-simplify]: Simplify (sqrt 0) into 0 12.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 12.293 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 12.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.293 * [taylor]: Taking taylor expansion of x in x 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.293 * [backup-simplify]: Simplify (/ 1 1) into 1 12.293 * [taylor]: Taking taylor expansion of 1.0 in x 12.293 * [backup-simplify]: Simplify 1.0 into 1.0 12.293 * [backup-simplify]: Simplify (+ 1 0) into 1 12.294 * [backup-simplify]: Simplify (sqrt 0) into 0 12.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.295 * [backup-simplify]: Simplify (+ 0 0) into 0 12.295 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.295 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 12.296 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 12.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.300 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.301 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.302 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 12.303 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 12.304 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 12.304 * [taylor]: Taking taylor expansion of 1.0 in x 12.304 * [backup-simplify]: Simplify 1.0 into 1.0 12.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 12.304 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 12.304 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 12.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 12.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.304 * [taylor]: Taking taylor expansion of x in x 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 1 into 1 12.304 * [backup-simplify]: Simplify (/ 1 1) into 1 12.304 * [backup-simplify]: Simplify (sqrt 0) into 0 12.305 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 12.305 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 12.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.305 * [taylor]: Taking taylor expansion of x in x 12.305 * [backup-simplify]: Simplify 0 into 0 12.305 * [backup-simplify]: Simplify 1 into 1 12.305 * [backup-simplify]: Simplify (/ 1 1) into 1 12.305 * [taylor]: Taking taylor expansion of 1.0 in x 12.305 * [backup-simplify]: Simplify 1.0 into 1.0 12.306 * [backup-simplify]: Simplify (+ 1 0) into 1 12.306 * [backup-simplify]: Simplify (sqrt 0) into 0 12.307 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.307 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.308 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 12.308 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 12.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.314 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.315 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.316 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 12.318 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 12.318 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 12.319 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 12.321 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 12.322 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 12.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (+ 0 0) into 0 12.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.329 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.332 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 12.336 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 12.347 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 12.355 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 12.362 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 x)) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 12.362 * [backup-simplify]: Simplify (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) into (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 12.362 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 12.362 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 12.362 * [taylor]: Taking taylor expansion of 1.0 in x 12.362 * [backup-simplify]: Simplify 1.0 into 1.0 12.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 12.362 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 12.362 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 12.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 12.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.362 * [taylor]: Taking taylor expansion of -1 in x 12.362 * [backup-simplify]: Simplify -1 into -1 12.362 * [taylor]: Taking taylor expansion of x in x 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify (/ -1 1) into -1 12.363 * [backup-simplify]: Simplify (sqrt 0) into 0 12.364 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.364 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 12.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 12.364 * [taylor]: Taking taylor expansion of 1.0 in x 12.364 * [backup-simplify]: Simplify 1.0 into 1.0 12.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.364 * [taylor]: Taking taylor expansion of x in x 12.364 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify 1 into 1 12.364 * [backup-simplify]: Simplify (/ 1 1) into 1 12.364 * [backup-simplify]: Simplify (- 1) into -1 12.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.365 * [backup-simplify]: Simplify (sqrt 0) into 0 12.366 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.366 * [backup-simplify]: Simplify (+ 0 0) into 0 12.366 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.367 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 12.367 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 12.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.369 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.370 * [backup-simplify]: Simplify (- 0) into 0 12.370 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.372 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.372 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.374 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 12.375 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 12.375 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 12.375 * [taylor]: Taking taylor expansion of 1.0 in x 12.375 * [backup-simplify]: Simplify 1.0 into 1.0 12.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 12.375 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 12.375 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 12.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 12.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.376 * [taylor]: Taking taylor expansion of -1 in x 12.376 * [backup-simplify]: Simplify -1 into -1 12.376 * [taylor]: Taking taylor expansion of x in x 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.376 * [backup-simplify]: Simplify (/ -1 1) into -1 12.376 * [backup-simplify]: Simplify (sqrt 0) into 0 12.377 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.377 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 12.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 12.377 * [taylor]: Taking taylor expansion of 1.0 in x 12.377 * [backup-simplify]: Simplify 1.0 into 1.0 12.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.377 * [taylor]: Taking taylor expansion of x in x 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.377 * [backup-simplify]: Simplify (/ 1 1) into 1 12.378 * [backup-simplify]: Simplify (- 1) into -1 12.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.378 * [backup-simplify]: Simplify (sqrt 0) into 0 12.379 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.379 * [backup-simplify]: Simplify (+ 0 0) into 0 12.379 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.380 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 12.380 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 12.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.383 * [backup-simplify]: Simplify (- 0) into 0 12.384 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.385 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.386 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.388 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 12.390 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 12.391 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 12.392 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 12.395 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 12.397 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 12.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.404 * [backup-simplify]: Simplify (- 0) into 0 12.404 * [backup-simplify]: Simplify (+ 0 0) into 0 12.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.409 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 12.415 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 12.423 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 12.437 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 12.444 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) 12.452 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ 1 (sqrt +nan.0)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- x))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt +nan.0)))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt +nan.0))))))))) 12.452 * * * [progress]: simplifying candidates 12.461 * [simplify]: Simplifying: (expm1 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (* (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (cbrt (* (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (cbrt (* (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (cbrt (* (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (cbrt (* (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (cbrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (* (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (- (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (/ (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (- (log 1.0) (log (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (* (sqrt (+ 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[simplify]: Extracting #6: cost 312 inf + 587238 13.637 * * [simplify]: Extracting #7: cost 140 inf + 672869 13.802 * * [simplify]: Extracting #8: cost 79 inf + 711865 13.976 * * [simplify]: Extracting #9: cost 39 inf + 740503 14.181 * * [simplify]: Extracting #10: cost 11 inf + 767720 14.380 * * [simplify]: Extracting #11: cost 1 inf + 781816 14.593 * * [simplify]: Extracting #12: cost 0 inf + 782972 14.796 * [simplify]: Simplified to: (expm1 (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (* (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0))) (sqrt (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0)))))) (cbrt (* (sqrt (fma 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(+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1 (/ 1.0 (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ 1 (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.0) (/ 1.0 (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (* (cbrt (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))))) (/ 1.0 (sqrt (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1.0 (/ (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt 1.0)) (/ (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1.0)) (/ (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.0) (/ 1.0 (cbrt (* (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0))) (sqrt (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0))))))) (/ 1.0 (cbrt (* (- (+ x 1.0) x) (sqrt (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0))))))) (/ 1.0 (cbrt (* (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0))) (sqrt (- (+ x 1.0) x))))) (/ 1.0 (cbrt (* (sqrt (- (+ x 1.0) x)) (- (+ x 1.0) x)))) (/ 1.0 (cbrt (* (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ 1.0 (cbrt (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (- (+ x 1.0) x)))) (/ 1.0 (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (fma (sqrt x) x (* (sqrt (+ x 1.0)) (+ x 1.0))))))) (/ 1.0 (cbrt (* (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (- (+ x 1.0) x))))) (+ (- (fma (* 1/4 (sqrt (/ 1 (* (sqrt 1.0) 1.0)))) x (sqrt (sqrt 1.0))) (* (* x x) (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 3/32 (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (+ (- (* (* (sqrt (/ 1 (sqrt 1.0))) x) +nan.0) (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (* (* x x) +nan.0))) (* (sqrt (/ 1 (* (sqrt 1.0) 1.0))) (* (* x x) +nan.0)))) (+ (- (sqrt +nan.0) (/ +nan.0 (* (* (sqrt +nan.0) (* x x)) +nan.0))) (- (/ (/ +nan.0 (sqrt +nan.0)) x) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (+ (- (sqrt +nan.0) (/ +nan.0 (* (* (sqrt +nan.0) (* x x)) +nan.0))) (- (/ (/ +nan.0 (sqrt +nan.0)) x) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (+ (- (fma 0.375 (/ (* x x) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (* 0.5 (/ x (* (sqrt 1.0) 1.0)))) (+ (- (* +nan.0 (/ x (/ (* (sqrt 1.0) 1.0) x))) (/ (* +nan.0 (* x x)) (* (* (sqrt 1.0) (sqrt 1.0)) 1.0))) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0))))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) +nan.0))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) +nan.0))) (- (fma 3/4 (* (sqrt (/ 1 (sqrt 1.0))) x) (sqrt (* (sqrt 1.0) 1.0))) (fma +nan.0 (* (sqrt (/ 1 (sqrt 1.0))) (* x x)) (+ (* (* x x) (- (* 3/32 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (* +nan.0 (sqrt (sqrt 1.0))))) (* +nan.0 (- (* x (* x (sqrt (/ 1 (* (sqrt 1.0) 1.0))))) (* (sqrt (sqrt 1.0)) x)))))) (+ (- (sqrt +nan.0) (/ +nan.0 (* (* (sqrt +nan.0) (* x x)) +nan.0))) (- (/ (/ +nan.0 (sqrt +nan.0)) x) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (+ (- (sqrt +nan.0) (/ +nan.0 (* (* (sqrt +nan.0) (* x x)) +nan.0))) (- (/ (/ +nan.0 (sqrt +nan.0)) x) (/ (/ +nan.0 (sqrt +nan.0)) (* x x)))) (- (fma (sqrt (/ 1 (sqrt 1.0))) 1.0 (* (sqrt (/ 1 (pow (sqrt 1.0) 9))) (* (* x x) 0.15625))) (- (* x (+ (* +nan.0 (sqrt (/ 1 (* (sqrt 1.0) 1.0)))) (* 0.25 (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) (- (* (sqrt (/ 1 (pow (sqrt 1.0) 5))) (* (* x x) +nan.0)) (* (* x x) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (* +nan.0 (sqrt (/ 1 (* (sqrt 1.0) 1.0))))))))) (- (* (sqrt +nan.0) 1.0) (- (/ +nan.0 (* (* (sqrt +nan.0) (* x x)) +nan.0)) (- (/ (/ +nan.0 (sqrt +nan.0)) x) (/ (/ +nan.0 (sqrt +nan.0)) (* x x))))) (- (* (sqrt +nan.0) 1.0) (- (/ +nan.0 (* (* (sqrt +nan.0) (* x x)) +nan.0)) (- (/ (/ +nan.0 (sqrt +nan.0)) x) (/ (/ +nan.0 (sqrt +nan.0)) (* x x))))) 14.915 * * * [progress]: adding candidates to table 17.016 * [progress]: [Phase 3 of 3] Extracting. 17.016 * * [regime]: Finding splitpoints for: (# # # # # #) 17.017 * * * [regime-changes]: Trying 1 branch expressions: (x) 17.017 * * * * [regimes]: Trying to branch on x from (# # # # # #) 17.072 * * * [regime]: Found split indices: #