17.267 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.064 * * [simplify]: iteration 0: 6 enodes 0.066 * * [simplify]: iteration 1: 9 enodes 0.069 * * [simplify]: iteration 2: 10 enodes 0.071 * * [simplify]: iteration complete: 10 enodes 0.071 * * [simplify]: Extracting #0: cost 1 inf + 0 0.071 * * [simplify]: Extracting #1: cost 4 inf + 0 0.071 * * [simplify]: Extracting #2: cost 6 inf + 0 0.071 * * [simplify]: Extracting #3: cost 6 inf + 1 0.072 * * [simplify]: Extracting #4: cost 0 inf + 410 0.072 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.165 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.178 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.178 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.179 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.179 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.181 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (sqrt 0) into 0 0.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.182 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.183 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.184 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (sqrt 0) into 0 0.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.186 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.186 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.187 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.189 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.194 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.196 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.199 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 0.208 * [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)))))) 0.208 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) 0.208 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [backup-simplify]: Simplify 1.0 into 1.0 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify (sqrt 0) into 0 0.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 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 (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (sqrt 0) into 0 0.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.216 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (sqrt 0) into 0 0.218 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.221 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.221 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.226 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.230 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.231 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.231 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.241 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.242 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.243 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.244 * [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))))) 0.244 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.245 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (- 1) into -1 0.246 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.246 * [backup-simplify]: Simplify (sqrt 0) into 0 0.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.248 * [taylor]: Taking taylor expansion of -1 in x 0.248 * [backup-simplify]: Simplify -1 into -1 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ -1 1) into -1 0.249 * [backup-simplify]: Simplify (sqrt 0) into 0 0.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.250 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.251 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.251 * [backup-simplify]: Simplify (sqrt 0) into 0 0.252 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.252 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ -1 1) into -1 0.253 * [backup-simplify]: Simplify (sqrt 0) into 0 0.254 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 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)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.258 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.261 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.261 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.262 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.272 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.272 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.273 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.274 * [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))))) 0.274 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.274 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.274 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.274 * [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 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [backup-simplify]: Simplify 1.0 into 1.0 0.274 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.274 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.276 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.276 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.276 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.278 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.279 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.287 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.290 * [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)))) 0.290 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ (/ 1 x) 1.0)) 0.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of 1.0 in x 0.291 * [backup-simplify]: Simplify 1.0 into 1.0 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (sqrt 0) into 0 0.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [backup-simplify]: Simplify (sqrt 0) into 0 0.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.300 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.300 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.305 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.306 * [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))))) 0.306 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.306 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [backup-simplify]: Simplify 1.0 into 1.0 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.308 * [backup-simplify]: Simplify (sqrt 0) into 0 0.309 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.309 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.311 * [backup-simplify]: Simplify (sqrt 0) into 0 0.313 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.318 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.325 * [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))))) 0.325 * * * [progress]: simplifying candidates 0.328 * [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))))) 0.332 * * [simplify]: iteration 0: 139 enodes 0.376 * * [simplify]: iteration 1: 322 enodes 0.525 * * [simplify]: iteration 2: 785 enodes 1.045 * * [simplify]: iteration 3: 2271 enodes 2.215 * * [simplify]: iteration complete: 5003 enodes 2.215 * * [simplify]: Extracting #0: cost 41 inf + 0 2.217 * * [simplify]: Extracting #1: cost 346 inf + 3 2.224 * * [simplify]: Extracting #2: cost 941 inf + 1604 2.244 * * [simplify]: Extracting #3: cost 877 inf + 42042 2.304 * * [simplify]: Extracting #4: cost 288 inf + 173611 2.363 * * [simplify]: Extracting #5: cost 72 inf + 242349 2.435 * * [simplify]: Extracting #6: cost 15 inf + 253660 2.511 * * [simplify]: Extracting #7: cost 3 inf + 255892 2.612 * * [simplify]: Extracting #8: cost 0 inf + 256771 2.682 * [simplify]: Simplified to: (- (sqrt (+ 1.0 x)) (sqrt x)) 0 (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (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 (- (* (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)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (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)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (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)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (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)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (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)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (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)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (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))) (- (* (+ 1.0 x) (sqrt (+ 1.0 x))) (* x (sqrt x))) (fma (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt x) (+ 1.0 x)) (- (sqrt x)) (- (+ 1.0 x) x) (+ (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))) (* (+ 1.0 x) (sqrt (+ 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 (* 1.0 1.0) 1.0 (* x (* x x)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (* (+ 1.0 x) (- x 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (+ (fma (/ -1/8 1.0) (/ (* x x) (sqrt 1.0)) (* +nan.0 (- (* x x) x))) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma (/ (/ x (/ 1.0 x)) (sqrt 1.0)) -1/8 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) (fma +nan.0 (/ -1 (* x x)) (- (/ +nan.0 x) +nan.0)) 2.694 * * * [progress]: adding candidates to table 3.010 * * [progress]: iteration 2 / 4 3.010 * * * [progress]: picking best candidate 3.048 * * * * [pick]: Picked # 3.048 * * * [progress]: localizing error 3.063 * * * [progress]: generating rewritten candidates 3.063 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.106 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.306 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.318 * * * [progress]: generating series expansions 3.318 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.318 * [backup-simplify]: Simplify (- (+ 1.0 x) x) into 1.0 3.318 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.318 * [taylor]: Taking taylor expansion of 1.0 in x 3.318 * [backup-simplify]: Simplify 1.0 into 1.0 3.318 * [taylor]: Taking taylor expansion of 1.0 in x 3.318 * [backup-simplify]: Simplify 1.0 into 1.0 3.318 * [backup-simplify]: Simplify 1.0 into 1.0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [backup-simplify]: Simplify (- (+ 1.0 (/ 1 x)) (/ 1 x)) into 1.0 3.319 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.319 * [taylor]: Taking taylor expansion of 1.0 in x 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [taylor]: Taking taylor expansion of 1.0 in x 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [backup-simplify]: Simplify (- (+ 1.0 (/ 1 (- x))) (/ 1 (- x))) into 1.0 3.319 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 3.319 * [taylor]: Taking taylor expansion of 1.0 in x 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [taylor]: Taking taylor expansion of 1.0 in x 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.319 * [backup-simplify]: Simplify (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.319 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.320 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.320 * [taylor]: Taking taylor expansion of 1.0 in x 3.320 * [backup-simplify]: Simplify 1.0 into 1.0 3.320 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.320 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.320 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.320 * [taylor]: Taking taylor expansion of x in x 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [taylor]: Taking taylor expansion of 1.0 in x 3.320 * [backup-simplify]: Simplify 1.0 into 1.0 3.320 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.321 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.321 * [backup-simplify]: Simplify (+ 1 0) into 1 3.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.322 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.322 * [taylor]: Taking taylor expansion of x in x 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (sqrt 0) into 0 3.323 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.324 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.324 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.324 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [backup-simplify]: Simplify 1.0 into 1.0 3.324 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.324 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.324 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [backup-simplify]: Simplify 1.0 into 1.0 3.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.325 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.325 * [backup-simplify]: Simplify (+ 1 0) into 1 3.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.326 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.326 * [taylor]: Taking taylor expansion of x in x 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (sqrt 0) into 0 3.327 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.328 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.328 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.329 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.330 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.336 * [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)))))) 3.346 * [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)))))) 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.355 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.358 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.406 * [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)))))))) 3.430 * [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)))))))) 3.468 * [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)))))))))))) 3.469 * [backup-simplify]: Simplify (/ (- (+ 1.0 (/ 1 x)) (/ 1 x)) (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 3.469 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 3.469 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.469 * [taylor]: Taking taylor expansion of 1.0 in x 3.469 * [backup-simplify]: Simplify 1.0 into 1.0 3.469 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.469 * [taylor]: Taking taylor expansion of x in x 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [backup-simplify]: Simplify (sqrt 0) into 0 3.472 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.472 * [taylor]: Taking taylor expansion of x in x 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (/ 1 1) into 1 3.473 * [taylor]: Taking taylor expansion of 1.0 in x 3.473 * [backup-simplify]: Simplify 1.0 into 1.0 3.473 * [backup-simplify]: Simplify (+ 1 0) into 1 3.473 * [backup-simplify]: Simplify (sqrt 0) into 0 3.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.478 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.478 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 3.478 * [taylor]: Taking taylor expansion of 1.0 in x 3.478 * [backup-simplify]: Simplify 1.0 into 1.0 3.478 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (/ 1 1) into 1 3.479 * [backup-simplify]: Simplify (sqrt 0) into 0 3.480 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.481 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (/ 1 1) into 1 3.481 * [taylor]: Taking taylor expansion of 1.0 in x 3.481 * [backup-simplify]: Simplify 1.0 into 1.0 3.482 * [backup-simplify]: Simplify (+ 1 0) into 1 3.482 * [backup-simplify]: Simplify (sqrt 0) into 0 3.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.484 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.485 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.485 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.494 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.494 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.498 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.498 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.507 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.510 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.511 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.513 * [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))))) 3.513 * [backup-simplify]: Simplify (/ (- (+ 1.0 (/ 1 (- x))) (/ 1 (- x))) (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.513 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.513 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.513 * [taylor]: Taking taylor expansion of 1.0 in x 3.513 * [backup-simplify]: Simplify 1.0 into 1.0 3.513 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.513 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.513 * [taylor]: Taking taylor expansion of -1 in x 3.513 * [backup-simplify]: Simplify -1 into -1 3.513 * [taylor]: Taking taylor expansion of x in x 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (/ -1 1) into -1 3.514 * [backup-simplify]: Simplify (sqrt 0) into 0 3.515 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.515 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.515 * [taylor]: Taking taylor expansion of 1.0 in x 3.515 * [backup-simplify]: Simplify 1.0 into 1.0 3.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [backup-simplify]: Simplify (- 1) into -1 3.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.516 * [backup-simplify]: Simplify (sqrt 0) into 0 3.517 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.518 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.518 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.518 * [taylor]: Taking taylor expansion of 1.0 in x 3.518 * [backup-simplify]: Simplify 1.0 into 1.0 3.518 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.518 * [taylor]: Taking taylor expansion of -1 in x 3.518 * [backup-simplify]: Simplify -1 into -1 3.518 * [taylor]: Taking taylor expansion of x in x 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (/ -1 1) into -1 3.518 * [backup-simplify]: Simplify (sqrt 0) into 0 3.519 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.519 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.519 * [taylor]: Taking taylor expansion of 1.0 in x 3.519 * [backup-simplify]: Simplify 1.0 into 1.0 3.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.519 * [taylor]: Taking taylor expansion of x in x 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (/ 1 1) into 1 3.520 * [backup-simplify]: Simplify (- 1) into -1 3.520 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.520 * [backup-simplify]: Simplify (sqrt 0) into 0 3.521 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.522 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (- 0) into 0 3.526 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.528 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.528 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.530 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.531 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- 0) into 0 3.534 * [backup-simplify]: Simplify (+ 0 0) into 0 3.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.537 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.541 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.542 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.543 * [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))))) 3.543 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.543 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 x)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 3.543 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.543 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.543 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.543 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.543 * [taylor]: Taking taylor expansion of x in x 3.543 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [taylor]: Taking taylor expansion of 1.0 in x 3.544 * [backup-simplify]: Simplify 1.0 into 1.0 3.544 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.544 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.545 * [backup-simplify]: Simplify (+ 1 0) into 1 3.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.547 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.547 * [taylor]: Taking taylor expansion of x in x 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (sqrt 0) into 0 3.548 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.548 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.548 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.548 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.548 * [taylor]: Taking taylor expansion of x in x 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [taylor]: Taking taylor expansion of 1.0 in x 3.549 * [backup-simplify]: Simplify 1.0 into 1.0 3.549 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.549 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.550 * [backup-simplify]: Simplify (+ 1 0) into 1 3.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.552 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.552 * [taylor]: Taking taylor expansion of x in x 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify 1 into 1 3.552 * [backup-simplify]: Simplify (sqrt 0) into 0 3.553 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.554 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.555 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.556 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.559 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.559 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.569 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.571 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.577 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 3.586 * [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)))))) 3.587 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 3.587 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 3.587 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.587 * [taylor]: Taking taylor expansion of x in x 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (/ 1 1) into 1 3.588 * [backup-simplify]: Simplify (sqrt 0) into 0 3.589 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.589 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.589 * [taylor]: Taking taylor expansion of x in x 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (/ 1 1) into 1 3.590 * [taylor]: Taking taylor expansion of 1.0 in x 3.590 * [backup-simplify]: Simplify 1.0 into 1.0 3.590 * [backup-simplify]: Simplify (+ 1 0) into 1 3.590 * [backup-simplify]: Simplify (sqrt 0) into 0 3.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.592 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 3.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (/ 1 1) into 1 3.593 * [backup-simplify]: Simplify (sqrt 0) into 0 3.594 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.594 * [taylor]: Taking taylor expansion of x in x 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (/ 1 1) into 1 3.594 * [taylor]: Taking taylor expansion of 1.0 in x 3.595 * [backup-simplify]: Simplify 1.0 into 1.0 3.595 * [backup-simplify]: Simplify (+ 1 0) into 1 3.595 * [backup-simplify]: Simplify (sqrt 0) into 0 3.597 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.598 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.602 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.606 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.607 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.607 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.618 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.619 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.620 * [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))))) 3.620 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 3.620 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 3.620 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.620 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.620 * [taylor]: Taking taylor expansion of -1 in x 3.620 * [backup-simplify]: Simplify -1 into -1 3.621 * [taylor]: Taking taylor expansion of x in x 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ -1 1) into -1 3.621 * [backup-simplify]: Simplify (sqrt 0) into 0 3.623 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.623 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.623 * [taylor]: Taking taylor expansion of 1.0 in x 3.623 * [backup-simplify]: Simplify 1.0 into 1.0 3.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (/ 1 1) into 1 3.624 * [backup-simplify]: Simplify (- 1) into -1 3.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.625 * [backup-simplify]: Simplify (sqrt 0) into 0 3.626 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.626 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.626 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.626 * [taylor]: Taking taylor expansion of -1 in x 3.626 * [backup-simplify]: Simplify -1 into -1 3.626 * [taylor]: Taking taylor expansion of x in x 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (/ -1 1) into -1 3.627 * [backup-simplify]: Simplify (sqrt 0) into 0 3.629 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.629 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.629 * [taylor]: Taking taylor expansion of 1.0 in x 3.629 * [backup-simplify]: Simplify 1.0 into 1.0 3.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.629 * [taylor]: Taking taylor expansion of x in x 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify (/ 1 1) into 1 3.630 * [backup-simplify]: Simplify (- 1) into -1 3.630 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.630 * [backup-simplify]: Simplify (sqrt 0) into 0 3.632 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.633 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.644 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.644 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify (- 0) into 0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.651 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.651 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.652 * [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))))) 3.652 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.652 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 3.652 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 3.652 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.652 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.652 * [taylor]: Taking taylor expansion of x in x 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [taylor]: Taking taylor expansion of 1.0 in x 3.652 * [backup-simplify]: Simplify 1.0 into 1.0 3.652 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.653 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.653 * [backup-simplify]: Simplify (+ 1 0) into 1 3.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.654 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.654 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [taylor]: Taking taylor expansion of 1.0 in x 3.654 * [backup-simplify]: Simplify 1.0 into 1.0 3.654 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.655 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.655 * [backup-simplify]: Simplify (+ 1 0) into 1 3.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.656 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.657 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 3.657 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.661 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.663 * [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)))) 3.663 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 3.663 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 3.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.663 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.663 * [taylor]: Taking taylor expansion of x in x 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [taylor]: Taking taylor expansion of 1.0 in x 3.663 * [backup-simplify]: Simplify 1.0 into 1.0 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (sqrt 0) into 0 3.665 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.665 * [taylor]: Taking taylor expansion of x in x 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [backup-simplify]: Simplify (/ 1 1) into 1 3.665 * [taylor]: Taking taylor expansion of 1.0 in x 3.665 * [backup-simplify]: Simplify 1.0 into 1.0 3.665 * [backup-simplify]: Simplify (+ 1 0) into 1 3.666 * [backup-simplify]: Simplify (sqrt 0) into 0 3.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.669 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.674 * [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))))) 3.674 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 3.674 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 3.674 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.674 * [taylor]: Taking taylor expansion of 1.0 in x 3.674 * [backup-simplify]: Simplify 1.0 into 1.0 3.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.674 * [taylor]: Taking taylor expansion of x in x 3.674 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (/ 1 1) into 1 3.675 * [backup-simplify]: Simplify (- 1) into -1 3.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.676 * [backup-simplify]: Simplify (sqrt 0) into 0 3.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.678 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.678 * [taylor]: Taking taylor expansion of 1.0 in x 3.678 * [backup-simplify]: Simplify 1.0 into 1.0 3.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.678 * [taylor]: Taking taylor expansion of x in x 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [backup-simplify]: Simplify (- 1) into -1 3.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.679 * [backup-simplify]: Simplify (sqrt 0) into 0 3.681 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.686 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.690 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.690 * [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))))) 3.690 * * * [progress]: simplifying candidates 3.693 * [simplify]: Simplifying: (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (+ 1.0 x) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (+ 1.0 x) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (+ 1.0 x) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (+ 1.0 x) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (+ 1.0 x) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (+ 1.0 x) (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (+ 1.0 x) x)) (log1p (- (+ 1.0 x) x)) (- x) (- x) (- x) (- x) (/ (* (exp 1.0) (exp x)) (exp x)) (/ (exp (+ 1.0 x)) (exp x)) (log (- (+ 1.0 x) x)) (exp (- (+ 1.0 x) x)) (* (cbrt (- (+ 1.0 x) x)) (cbrt (- (+ 1.0 x) x))) (cbrt (- (+ 1.0 x) x)) (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (sqrt (- (+ 1.0 x) x)) (- (pow (+ 1.0 x) 3) (pow x 3)) (+ (* (+ 1.0 x) (+ 1.0 x)) (+ (* x x) (* (+ 1.0 x) x))) (- x) (- (* (+ 1.0 x) (+ 1.0 x)) (* x x)) (+ (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (+ 1.0 x) x) (- (+ 1.0 x) x) (- x x) (- x) (expm1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log (- (+ 1.0 x) x)) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* (- (+ 1.0 x) x) (- (+ 1.0 x) x)) (- (+ 1.0 x) x)) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) 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x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (/ 1 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ (- (+ 1.0 x) x) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (- (sqrt (+ 1.0 x)) (sqrt x))) (/ (/ (- (+ 1.0 x) x) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (- (+ 1.0 x) x) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (+ 1.0 x) x) (- (+ 1.0 x) x) (- (+ 1.0 x) x) (- (+ 1.0 x) x) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt (- (+ 1.0 x) x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt (- (+ 1.0 x) x))) (/ 1 (- (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (- (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (- (sqrt (+ 1.0 x)) (sqrt x))) (/ (- (+ 1.0 x) x) (fma (sqrt (+ 1.0 x)) (+ 1.0 x) (* x (sqrt x)))) (* 1 1) (* (fma (+ 1.0 x) (+ 1.0 x) (* x (+ x (+ 1.0 x)))) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ x (+ 1.0 x))) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 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))) (fma (sqrt (+ 1.0 x)) (+ 1.0 x) (* x (sqrt x))) (fma (sqrt x) (- (sqrt x) (sqrt (+ 1.0 x))) (+ 1.0 x)) (- (+ 1.0 x) x) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 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))) (* (+ 1.0 x) (sqrt (+ 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 (* 1.0 1.0) 1.0 (* x (* x x)))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ 1.0 x) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1.0 1.0 1.0 (+ (- (fma (/ (* x x) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (fma (/ 0.5 (sqrt 1.0)) (/ x 1.0) (+ (* +nan.0 (- (* (/ x 1.0) (/ x 1.0)) (/ x 1.0))) (* (/ (* x x) 1.0) +nan.0)))) (* (/ (* (/ x 1.0) x) (sqrt 1.0)) +nan.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 -1/8 (/ (* (/ x 1.0) x) (sqrt 1.0)) (* +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)) 6.083 * * * [progress]: adding candidates to table 6.683 * * [progress]: iteration 3 / 4 6.683 * * * [progress]: picking best candidate 6.700 * * * * [pick]: Picked # 6.700 * * * [progress]: localizing error 6.713 * * * [progress]: generating rewritten candidates 6.713 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 6.778 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 6.833 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 6.850 * * * [progress]: generating series expansions 6.850 * * * * [progress]: [ 1 / 3 ] generating series at (2) 6.850 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 6.850 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 6.850 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.850 * [taylor]: Taking taylor expansion of 1.0 in x 6.850 * [backup-simplify]: Simplify 1.0 into 1.0 6.850 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.850 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.850 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.850 * [taylor]: Taking taylor expansion of x in x 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [taylor]: Taking taylor expansion of 1.0 in x 6.850 * [backup-simplify]: Simplify 1.0 into 1.0 6.851 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.852 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.852 * [backup-simplify]: Simplify (+ 1 0) into 1 6.854 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.854 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.854 * [taylor]: Taking taylor expansion of x in x 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 1 into 1 6.854 * [backup-simplify]: Simplify (sqrt 0) into 0 6.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.857 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.860 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.860 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.860 * [taylor]: Taking taylor expansion of 1.0 in x 6.860 * [backup-simplify]: Simplify 1.0 into 1.0 6.860 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.860 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.860 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.860 * [taylor]: Taking taylor expansion of x in x 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.860 * [taylor]: Taking taylor expansion of 1.0 in x 6.861 * [backup-simplify]: Simplify 1.0 into 1.0 6.861 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.861 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.862 * [backup-simplify]: Simplify (+ 1 0) into 1 6.863 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.863 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.863 * [taylor]: Taking taylor expansion of x in x 6.863 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (sqrt 0) into 0 6.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.866 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 6.867 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.868 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 6.869 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 6.876 * [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)))))) 6.882 * [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)))))) 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.885 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.887 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.888 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 6.920 * [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)))))))) 6.936 * [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)))))))) 6.960 * [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)))))))))))) 6.960 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 6.960 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 6.960 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.960 * [taylor]: Taking taylor expansion of 1.0 in x 6.960 * [backup-simplify]: Simplify 1.0 into 1.0 6.960 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.960 * [taylor]: Taking taylor expansion of x in x 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify (/ 1 1) into 1 6.961 * [backup-simplify]: Simplify (sqrt 0) into 0 6.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.963 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.963 * [taylor]: Taking taylor expansion of x in x 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (/ 1 1) into 1 6.963 * [taylor]: Taking taylor expansion of 1.0 in x 6.963 * [backup-simplify]: Simplify 1.0 into 1.0 6.964 * [backup-simplify]: Simplify (+ 1 0) into 1 6.964 * [backup-simplify]: Simplify (sqrt 0) into 0 6.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.966 * [backup-simplify]: Simplify (+ 0 0) into 0 6.966 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.967 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.967 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 6.967 * [taylor]: Taking taylor expansion of 1.0 in x 6.967 * [backup-simplify]: Simplify 1.0 into 1.0 6.967 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 6.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 6.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.967 * [taylor]: Taking taylor expansion of x in x 6.967 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify 1 into 1 6.968 * [backup-simplify]: Simplify (/ 1 1) into 1 6.968 * [backup-simplify]: Simplify (sqrt 0) into 0 6.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.970 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.970 * [taylor]: Taking taylor expansion of x in x 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (/ 1 1) into 1 6.970 * [taylor]: Taking taylor expansion of 1.0 in x 6.970 * [backup-simplify]: Simplify 1.0 into 1.0 6.971 * [backup-simplify]: Simplify (+ 1 0) into 1 6.971 * [backup-simplify]: Simplify (sqrt 0) into 0 6.973 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.973 * [backup-simplify]: Simplify (+ 0 0) into 0 6.974 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.975 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 6.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.979 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.983 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.983 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.987 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 6.988 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.994 * [backup-simplify]: Simplify (+ 0 0) into 0 6.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.999 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.002 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 7.003 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.003 * [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))))) 7.003 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 7.003 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 7.003 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.004 * [taylor]: Taking taylor expansion of 1.0 in x 7.004 * [backup-simplify]: Simplify 1.0 into 1.0 7.004 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.004 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.004 * [taylor]: Taking taylor expansion of -1 in x 7.004 * [backup-simplify]: Simplify -1 into -1 7.004 * [taylor]: Taking taylor expansion of x in x 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (/ -1 1) into -1 7.004 * [backup-simplify]: Simplify (sqrt 0) into 0 7.005 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.005 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.005 * [taylor]: Taking taylor expansion of 1.0 in x 7.005 * [backup-simplify]: Simplify 1.0 into 1.0 7.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.005 * [taylor]: Taking taylor expansion of x in x 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [backup-simplify]: Simplify (- 1) into -1 7.006 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.006 * [backup-simplify]: Simplify (sqrt 0) into 0 7.007 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.007 * [backup-simplify]: Simplify (+ 0 0) into 0 7.007 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.008 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 7.008 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.008 * [taylor]: Taking taylor expansion of 1.0 in x 7.008 * [backup-simplify]: Simplify 1.0 into 1.0 7.008 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.008 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.008 * [taylor]: Taking taylor expansion of -1 in x 7.008 * [backup-simplify]: Simplify -1 into -1 7.008 * [taylor]: Taking taylor expansion of x in x 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.008 * [backup-simplify]: Simplify (/ -1 1) into -1 7.009 * [backup-simplify]: Simplify (sqrt 0) into 0 7.009 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.009 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.009 * [taylor]: Taking taylor expansion of 1.0 in x 7.009 * [backup-simplify]: Simplify 1.0 into 1.0 7.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.009 * [taylor]: Taking taylor expansion of x in x 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 1 into 1 7.010 * [backup-simplify]: Simplify (/ 1 1) into 1 7.010 * [backup-simplify]: Simplify (- 1) into -1 7.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.011 * [backup-simplify]: Simplify (sqrt 0) into 0 7.011 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.012 * [backup-simplify]: Simplify (+ 0 0) into 0 7.012 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.012 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 7.012 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.016 * [backup-simplify]: Simplify (- 0) into 0 7.016 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.018 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.018 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.020 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 7.020 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.024 * [backup-simplify]: Simplify (- 0) into 0 7.024 * [backup-simplify]: Simplify (+ 0 0) into 0 7.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.027 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.032 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 7.033 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.034 * [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))))) 7.034 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 7.034 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 x)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 7.034 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 7.034 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.034 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.034 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.034 * [taylor]: Taking taylor expansion of x in x 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 1 into 1 7.035 * [taylor]: Taking taylor expansion of 1.0 in x 7.035 * [backup-simplify]: Simplify 1.0 into 1.0 7.035 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.035 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.036 * [backup-simplify]: Simplify (+ 1 0) into 1 7.037 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.037 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.038 * [taylor]: Taking taylor expansion of x in x 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 1 into 1 7.038 * [backup-simplify]: Simplify (sqrt 0) into 0 7.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.039 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.039 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.039 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.039 * [taylor]: Taking taylor expansion of x in x 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [taylor]: Taking taylor expansion of 1.0 in x 7.040 * [backup-simplify]: Simplify 1.0 into 1.0 7.040 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.040 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.041 * [backup-simplify]: Simplify (+ 1 0) into 1 7.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.042 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.042 * [taylor]: Taking taylor expansion of x in x 7.042 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify (sqrt 0) into 0 7.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.045 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 7.046 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.047 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 7.050 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 7.050 * [backup-simplify]: Simplify (+ 0 0) into 0 7.055 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.061 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 7.067 * [backup-simplify]: Simplify (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 7.079 * [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)))))) 7.079 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) 7.079 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 7.079 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 7.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.079 * [taylor]: Taking taylor expansion of x in x 7.080 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (/ 1 1) into 1 7.080 * [backup-simplify]: Simplify (sqrt 0) into 0 7.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.082 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.082 * [taylor]: Taking taylor expansion of x in x 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 1 into 1 7.083 * [backup-simplify]: Simplify (/ 1 1) into 1 7.083 * [taylor]: Taking taylor expansion of 1.0 in x 7.083 * [backup-simplify]: Simplify 1.0 into 1.0 7.083 * [backup-simplify]: Simplify (+ 1 0) into 1 7.083 * [backup-simplify]: Simplify (sqrt 0) into 0 7.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.085 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 7.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.085 * [taylor]: Taking taylor expansion of x in x 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (/ 1 1) into 1 7.086 * [backup-simplify]: Simplify (sqrt 0) into 0 7.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.087 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.087 * [taylor]: Taking taylor expansion of x in x 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify 1 into 1 7.087 * [backup-simplify]: Simplify (/ 1 1) into 1 7.088 * [taylor]: Taking taylor expansion of 1.0 in x 7.088 * [backup-simplify]: Simplify 1.0 into 1.0 7.088 * [backup-simplify]: Simplify (+ 1 0) into 1 7.088 * [backup-simplify]: Simplify (sqrt 0) into 0 7.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.090 * [backup-simplify]: Simplify (+ 0 0) into 0 7.090 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.091 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.095 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.096 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.099 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.099 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.099 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (+ 0 0) into 0 7.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.106 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.106 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.107 * [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))))) 7.107 * [backup-simplify]: Simplify (+ (sqrt (+ 1.0 (/ 1 (- x)))) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 7.107 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 7.107 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.107 * [taylor]: Taking taylor expansion of -1 in x 7.107 * [backup-simplify]: Simplify -1 into -1 7.107 * [taylor]: Taking taylor expansion of x in x 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 1 into 1 7.107 * [backup-simplify]: Simplify (/ -1 1) into -1 7.107 * [backup-simplify]: Simplify (sqrt 0) into 0 7.108 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.108 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.108 * [taylor]: Taking taylor expansion of 1.0 in x 7.108 * [backup-simplify]: Simplify 1.0 into 1.0 7.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.108 * [taylor]: Taking taylor expansion of x in x 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (/ 1 1) into 1 7.109 * [backup-simplify]: Simplify (- 1) into -1 7.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.109 * [backup-simplify]: Simplify (sqrt 0) into 0 7.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.110 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.110 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.110 * [taylor]: Taking taylor expansion of -1 in x 7.110 * [backup-simplify]: Simplify -1 into -1 7.110 * [taylor]: Taking taylor expansion of x in x 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.111 * [backup-simplify]: Simplify (/ -1 1) into -1 7.111 * [backup-simplify]: Simplify (sqrt 0) into 0 7.112 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.112 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.112 * [taylor]: Taking taylor expansion of 1.0 in x 7.112 * [backup-simplify]: Simplify 1.0 into 1.0 7.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.112 * [taylor]: Taking taylor expansion of x in x 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ 1 1) into 1 7.112 * [backup-simplify]: Simplify (- 1) into -1 7.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.113 * [backup-simplify]: Simplify (sqrt 0) into 0 7.113 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.114 * [backup-simplify]: Simplify (+ 0 0) into 0 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.115 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.118 * [backup-simplify]: Simplify (- 0) into 0 7.118 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.120 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.120 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.120 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.124 * [backup-simplify]: Simplify (- 0) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.126 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 7.127 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.128 * [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))))) 7.128 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 7.128 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 7.128 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 7.128 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.128 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.128 * [taylor]: Taking taylor expansion of x in x 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 1 into 1 7.128 * [taylor]: Taking taylor expansion of 1.0 in x 7.128 * [backup-simplify]: Simplify 1.0 into 1.0 7.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.129 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.130 * [backup-simplify]: Simplify (+ 1 0) into 1 7.131 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.131 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.131 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [taylor]: Taking taylor expansion of 1.0 in x 7.131 * [backup-simplify]: Simplify 1.0 into 1.0 7.132 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.132 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.133 * [backup-simplify]: Simplify (+ 1 0) into 1 7.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 7.135 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 7.136 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 7.136 * [backup-simplify]: Simplify (+ 0 0) into 0 7.141 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.143 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 7.146 * [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)))) 7.147 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 7.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 7.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.147 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.147 * [taylor]: Taking taylor expansion of x in x 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [backup-simplify]: Simplify (/ 1 1) into 1 7.147 * [taylor]: Taking taylor expansion of 1.0 in x 7.147 * [backup-simplify]: Simplify 1.0 into 1.0 7.148 * [backup-simplify]: Simplify (+ 1 0) into 1 7.148 * [backup-simplify]: Simplify (sqrt 0) into 0 7.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 7.149 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 7.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.149 * [taylor]: Taking taylor expansion of x in x 7.149 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify 1 into 1 7.150 * [backup-simplify]: Simplify (/ 1 1) into 1 7.150 * [taylor]: Taking taylor expansion of 1.0 in x 7.150 * [backup-simplify]: Simplify 1.0 into 1.0 7.150 * [backup-simplify]: Simplify (+ 1 0) into 1 7.151 * [backup-simplify]: Simplify (sqrt 0) into 0 7.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.156 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.157 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (+ 0 0) into 0 7.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.162 * [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))))) 7.162 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 7.162 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 7.162 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.162 * [taylor]: Taking taylor expansion of 1.0 in x 7.162 * [backup-simplify]: Simplify 1.0 into 1.0 7.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.163 * [taylor]: Taking taylor expansion of x in x 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (/ 1 1) into 1 7.164 * [backup-simplify]: Simplify (- 1) into -1 7.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.165 * [backup-simplify]: Simplify (sqrt 0) into 0 7.166 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.166 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.166 * [taylor]: Taking taylor expansion of 1.0 in x 7.166 * [backup-simplify]: Simplify 1.0 into 1.0 7.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.166 * [taylor]: Taking taylor expansion of x in x 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (/ 1 1) into 1 7.167 * [backup-simplify]: Simplify (- 1) into -1 7.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.168 * [backup-simplify]: Simplify (sqrt 0) into 0 7.169 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.171 * [backup-simplify]: Simplify (- 0) into 0 7.171 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.174 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (- 0) into 0 7.176 * [backup-simplify]: Simplify (+ 0 0) into 0 7.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.180 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.180 * [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))))) 7.181 * * * [progress]: simplifying candidates 7.183 * [simplify]: Simplifying: (expm1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- (log 1.0) (log (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))) (expm1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (log1p (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (exp (sqrt (+ 1.0 x))) (exp (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))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))) (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 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)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (+ (* 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))))) 7.186 * * [simplify]: iteration 0: 162 enodes 7.267 * * [simplify]: iteration 1: 394 enodes 7.509 * * [simplify]: iteration 2: 1182 enodes 8.378 * * [simplify]: iteration 3: 4094 enodes 9.455 * * [simplify]: iteration complete: 5000 enodes 9.455 * * [simplify]: Extracting #0: cost 68 inf + 0 9.457 * * [simplify]: Extracting #1: cost 407 inf + 44 9.461 * * [simplify]: Extracting #2: cost 1035 inf + 2784 9.483 * * [simplify]: Extracting #3: cost 889 inf + 67725 9.544 * * [simplify]: Extracting #4: cost 162 inf + 233504 9.638 * * [simplify]: Extracting #5: cost 24 inf + 277666 9.728 * * [simplify]: Extracting #6: cost 0 inf + 287525 9.834 * * [simplify]: Extracting #7: cost 0 inf + 287390 9.968 * [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)) (sqrt (+ x 1.0))) (* (/ (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) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (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 (+ (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) (/ 1.0 (fma (sqrt (+ x 1.0)) (+ x 1.0) (* x (sqrt x)))) (/ 1.0 (- (+ x 1.0) x)) (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) (* x (sqrt x))) (fma (- (sqrt x) (sqrt (+ x 1.0))) (sqrt x) (+ x 1.0)) (- (+ x 1.0) 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))) (* (+ 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 x (* x x) (* 1.0 (* 1.0 1.0)))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ x 1.0) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 0.375 (/ (* x x) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (/ (* x 0.5) (* 1.0 (sqrt 1.0)))) (fma +nan.0 (- (/ (* x x) (* 1.0 (sqrt 1.0))) (* (/ x 1.0) (/ x 1.0))) (* +nan.0 (- (/ x 1.0) (/ (* x x) 1.0))))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (+ (fma 1/2 (/ x (sqrt 1.0)) (/ (* (* x x) -1/8) (* 1.0 (sqrt 1.0)))) (fma +nan.0 (- (* x x) x) (sqrt 1.0))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (fma -1/8 (/ (* x x) (* 1.0 (sqrt 1.0))) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) (- (- (fma (/ 1 x) (/ +nan.0 x) +nan.0) (/ +nan.0 x))) 9.977 * * * [progress]: adding candidates to table 10.339 * * [progress]: iteration 4 / 4 10.339 * * * [progress]: picking best candidate 10.396 * * * * [pick]: Picked # 10.396 * * * [progress]: localizing error 10.430 * * * [progress]: generating rewritten candidates 10.430 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 10.485 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 10.558 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 10.571 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 10.589 * * * [progress]: generating series expansions 10.589 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 10.590 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) into (sqrt (+ x 1.0)) 10.590 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 10.590 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.590 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.590 * [taylor]: Taking taylor expansion of x in x 10.590 * [backup-simplify]: Simplify 0 into 0 10.590 * [backup-simplify]: Simplify 1 into 1 10.590 * [taylor]: Taking taylor expansion of 1.0 in x 10.590 * [backup-simplify]: Simplify 1.0 into 1.0 10.590 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.591 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.591 * [backup-simplify]: Simplify (+ 1 0) into 1 10.592 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.592 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.592 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.592 * [taylor]: Taking taylor expansion of x in x 10.592 * [backup-simplify]: Simplify 0 into 0 10.592 * [backup-simplify]: Simplify 1 into 1 10.592 * [taylor]: Taking taylor expansion of 1.0 in x 10.592 * [backup-simplify]: Simplify 1.0 into 1.0 10.592 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.592 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.593 * [backup-simplify]: Simplify (+ 1 0) into 1 10.594 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.594 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.595 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 10.595 * [backup-simplify]: Simplify (+ 0 0) into 0 10.598 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 10.599 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 10.601 * [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)))) 10.601 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ 1.0 (/ 1 x)))) (sqrt (sqrt (+ 1.0 (/ 1 x))))) into (sqrt (+ (/ 1 x) 1.0)) 10.601 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 10.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.601 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.601 * [taylor]: Taking taylor expansion of x in x 10.601 * [backup-simplify]: Simplify 0 into 0 10.601 * [backup-simplify]: Simplify 1 into 1 10.602 * [backup-simplify]: Simplify (/ 1 1) into 1 10.602 * [taylor]: Taking taylor expansion of 1.0 in x 10.602 * [backup-simplify]: Simplify 1.0 into 1.0 10.602 * [backup-simplify]: Simplify (+ 1 0) into 1 10.602 * [backup-simplify]: Simplify (sqrt 0) into 0 10.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.603 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.603 * [taylor]: Taking taylor expansion of x in x 10.603 * [backup-simplify]: Simplify 0 into 0 10.603 * [backup-simplify]: Simplify 1 into 1 10.604 * [backup-simplify]: Simplify (/ 1 1) into 1 10.604 * [taylor]: Taking taylor expansion of 1.0 in x 10.604 * [backup-simplify]: Simplify 1.0 into 1.0 10.604 * [backup-simplify]: Simplify (+ 1 0) into 1 10.604 * [backup-simplify]: Simplify (sqrt 0) into 0 10.605 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.605 * [backup-simplify]: Simplify 0 into 0 10.605 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.606 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.608 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.608 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.608 * [backup-simplify]: Simplify (+ 0 0) into 0 10.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.611 * [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))))) 10.611 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) (sqrt (sqrt (+ 1.0 (/ 1 (- x)))))) into (sqrt (- 1.0 (/ 1 x))) 10.611 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 10.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.611 * [taylor]: Taking taylor expansion of 1.0 in x 10.611 * [backup-simplify]: Simplify 1.0 into 1.0 10.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.611 * [taylor]: Taking taylor expansion of x in x 10.611 * [backup-simplify]: Simplify 0 into 0 10.611 * [backup-simplify]: Simplify 1 into 1 10.612 * [backup-simplify]: Simplify (/ 1 1) into 1 10.612 * [backup-simplify]: Simplify (- 1) into -1 10.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.613 * [backup-simplify]: Simplify (sqrt 0) into 0 10.614 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.614 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.614 * [taylor]: Taking taylor expansion of 1.0 in x 10.614 * [backup-simplify]: Simplify 1.0 into 1.0 10.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.614 * [taylor]: Taking taylor expansion of x in x 10.614 * [backup-simplify]: Simplify 0 into 0 10.615 * [backup-simplify]: Simplify 1 into 1 10.615 * [backup-simplify]: Simplify (/ 1 1) into 1 10.615 * [backup-simplify]: Simplify (- 1) into -1 10.616 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.616 * [backup-simplify]: Simplify (sqrt 0) into 0 10.617 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.617 * [backup-simplify]: Simplify 0 into 0 10.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.619 * [backup-simplify]: Simplify (- 0) into 0 10.619 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.622 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.622 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.623 * [backup-simplify]: Simplify (- 0) into 0 10.623 * [backup-simplify]: Simplify (+ 0 0) into 0 10.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.628 * [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))))) 10.628 * * * * [progress]: [ 2 / 4 ] generating series at (2) 10.628 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 10.628 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 10.628 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.628 * [taylor]: Taking taylor expansion of 1.0 in x 10.628 * [backup-simplify]: Simplify 1.0 into 1.0 10.628 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.628 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.628 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.628 * [taylor]: Taking taylor expansion of x in x 10.628 * [backup-simplify]: Simplify 0 into 0 10.629 * [backup-simplify]: Simplify 1 into 1 10.629 * [taylor]: Taking taylor expansion of 1.0 in x 10.629 * [backup-simplify]: Simplify 1.0 into 1.0 10.629 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.629 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.630 * [backup-simplify]: Simplify (+ 1 0) into 1 10.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.632 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.632 * [taylor]: Taking taylor expansion of x in x 10.632 * [backup-simplify]: Simplify 0 into 0 10.632 * [backup-simplify]: Simplify 1 into 1 10.632 * [backup-simplify]: Simplify (sqrt 0) into 0 10.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.635 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.635 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.635 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 10.635 * [taylor]: Taking taylor expansion of 1.0 in x 10.635 * [backup-simplify]: Simplify 1.0 into 1.0 10.635 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 10.636 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 10.636 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.636 * [taylor]: Taking taylor expansion of x in x 10.636 * [backup-simplify]: Simplify 0 into 0 10.636 * [backup-simplify]: Simplify 1 into 1 10.636 * [taylor]: Taking taylor expansion of 1.0 in x 10.636 * [backup-simplify]: Simplify 1.0 into 1.0 10.636 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.637 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 10.637 * [backup-simplify]: Simplify (+ 1 0) into 1 10.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 10.639 * [taylor]: Taking taylor expansion of (sqrt x) in x 10.639 * [taylor]: Taking taylor expansion of x in x 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 1 into 1 10.639 * [backup-simplify]: Simplify (sqrt 0) into 0 10.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.641 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 10.642 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.643 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 10.645 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 10.656 * [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)))))) 10.667 * [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)))))) 10.668 * [backup-simplify]: Simplify (+ 0 0) into 0 10.673 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 10.676 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.679 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- +nan.0))) 10.727 * [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)))))))) 10.750 * [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)))))))) 10.770 * [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)))))))))))) 10.770 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 (/ 1 x)))) (sqrt (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) 10.770 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 10.770 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.770 * [taylor]: Taking taylor expansion of 1.0 in x 10.770 * [backup-simplify]: Simplify 1.0 into 1.0 10.770 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.770 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.770 * [taylor]: Taking taylor expansion of x in x 10.770 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify 1 into 1 10.771 * [backup-simplify]: Simplify (/ 1 1) into 1 10.771 * [backup-simplify]: Simplify (sqrt 0) into 0 10.772 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.772 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.772 * [taylor]: Taking taylor expansion of x in x 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify 1 into 1 10.772 * [backup-simplify]: Simplify (/ 1 1) into 1 10.772 * [taylor]: Taking taylor expansion of 1.0 in x 10.772 * [backup-simplify]: Simplify 1.0 into 1.0 10.772 * [backup-simplify]: Simplify (+ 1 0) into 1 10.773 * [backup-simplify]: Simplify (sqrt 0) into 0 10.773 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.774 * [backup-simplify]: Simplify (+ 0 0) into 0 10.774 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.774 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.774 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 10.774 * [taylor]: Taking taylor expansion of 1.0 in x 10.774 * [backup-simplify]: Simplify 1.0 into 1.0 10.774 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 10.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 10.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.774 * [taylor]: Taking taylor expansion of x in x 10.774 * [backup-simplify]: Simplify 0 into 0 10.775 * [backup-simplify]: Simplify 1 into 1 10.775 * [backup-simplify]: Simplify (/ 1 1) into 1 10.775 * [backup-simplify]: Simplify (sqrt 0) into 0 10.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 10.776 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.777 * [taylor]: Taking taylor expansion of x in x 10.777 * [backup-simplify]: Simplify 0 into 0 10.777 * [backup-simplify]: Simplify 1 into 1 10.777 * [backup-simplify]: Simplify (/ 1 1) into 1 10.777 * [taylor]: Taking taylor expansion of 1.0 in x 10.777 * [backup-simplify]: Simplify 1.0 into 1.0 10.777 * [backup-simplify]: Simplify (+ 1 0) into 1 10.778 * [backup-simplify]: Simplify (sqrt 0) into 0 10.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.779 * [backup-simplify]: Simplify (+ 0 0) into 0 10.780 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.781 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.781 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.785 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.786 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.789 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.789 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.793 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.794 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.800 * [backup-simplify]: Simplify (+ 0 0) into 0 10.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.805 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.811 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.811 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.812 * [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))))) 10.813 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) (sqrt (sqrt (+ 1.0 (/ 1 (- x)))))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 10.813 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 10.813 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.813 * [taylor]: Taking taylor expansion of 1.0 in x 10.813 * [backup-simplify]: Simplify 1.0 into 1.0 10.813 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.813 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.813 * [taylor]: Taking taylor expansion of -1 in x 10.813 * [backup-simplify]: Simplify -1 into -1 10.813 * [taylor]: Taking taylor expansion of x in x 10.813 * [backup-simplify]: Simplify 0 into 0 10.813 * [backup-simplify]: Simplify 1 into 1 10.814 * [backup-simplify]: Simplify (/ -1 1) into -1 10.814 * [backup-simplify]: Simplify (sqrt 0) into 0 10.815 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.815 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.815 * [taylor]: Taking taylor expansion of 1.0 in x 10.815 * [backup-simplify]: Simplify 1.0 into 1.0 10.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.815 * [taylor]: Taking taylor expansion of x in x 10.815 * [backup-simplify]: Simplify 0 into 0 10.815 * [backup-simplify]: Simplify 1 into 1 10.816 * [backup-simplify]: Simplify (/ 1 1) into 1 10.816 * [backup-simplify]: Simplify (- 1) into -1 10.817 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.817 * [backup-simplify]: Simplify (sqrt 0) into 0 10.818 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.818 * [backup-simplify]: Simplify (+ 0 0) into 0 10.819 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.822 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.822 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 10.822 * [taylor]: Taking taylor expansion of 1.0 in x 10.822 * [backup-simplify]: Simplify 1.0 into 1.0 10.822 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 10.822 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 10.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.822 * [taylor]: Taking taylor expansion of -1 in x 10.822 * [backup-simplify]: Simplify -1 into -1 10.822 * [taylor]: Taking taylor expansion of x in x 10.822 * [backup-simplify]: Simplify 0 into 0 10.822 * [backup-simplify]: Simplify 1 into 1 10.823 * [backup-simplify]: Simplify (/ -1 1) into -1 10.823 * [backup-simplify]: Simplify (sqrt 0) into 0 10.825 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.825 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 10.825 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.825 * [taylor]: Taking taylor expansion of 1.0 in x 10.825 * [backup-simplify]: Simplify 1.0 into 1.0 10.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.825 * [taylor]: Taking taylor expansion of x in x 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [backup-simplify]: Simplify (/ 1 1) into 1 10.826 * [backup-simplify]: Simplify (- 1) into -1 10.826 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.826 * [backup-simplify]: Simplify (sqrt 0) into 0 10.828 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.828 * [backup-simplify]: Simplify (+ 0 0) into 0 10.829 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.830 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 10.830 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.834 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.835 * [backup-simplify]: Simplify (- 0) into 0 10.836 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.839 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.839 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.843 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.843 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.851 * [backup-simplify]: Simplify (- 0) into 0 10.851 * [backup-simplify]: Simplify (+ 0 0) into 0 10.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.856 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 10.862 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 10.862 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.863 * [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))))) 10.863 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 10.864 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/4) 10.864 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 10.864 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 10.864 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 10.864 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 10.864 * [taylor]: Taking taylor expansion of 1/4 in x 10.864 * [backup-simplify]: Simplify 1/4 into 1/4 10.864 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 10.864 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.864 * [taylor]: Taking taylor expansion of x in x 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 1 into 1 10.864 * [taylor]: Taking taylor expansion of 1.0 in x 10.864 * [backup-simplify]: Simplify 1.0 into 1.0 10.864 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.865 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.866 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 10.867 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 10.867 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 10.867 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 10.867 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 10.867 * [taylor]: Taking taylor expansion of 1/4 in x 10.867 * [backup-simplify]: Simplify 1/4 into 1/4 10.868 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 10.868 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.868 * [taylor]: Taking taylor expansion of x in x 10.868 * [backup-simplify]: Simplify 0 into 0 10.868 * [backup-simplify]: Simplify 1 into 1 10.868 * [taylor]: Taking taylor expansion of 1.0 in x 10.868 * [backup-simplify]: Simplify 1.0 into 1.0 10.868 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.869 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.869 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 10.871 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 10.871 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 10.872 * [backup-simplify]: Simplify (+ 1 0) into 1 10.877 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.879 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 10.884 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 10.885 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 10.886 * [backup-simplify]: Simplify (+ 0 0) into 0 10.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 10.901 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 10.916 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 10.921 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 10.928 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (pow 1.0 1/4) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (* 0.25 (* x (pow 1.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 10.929 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/4) 10.929 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in (x) around 0 10.929 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 10.929 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 10.929 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 10.929 * [taylor]: Taking taylor expansion of 1/4 in x 10.929 * [backup-simplify]: Simplify 1/4 into 1/4 10.929 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 10.929 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.929 * [taylor]: Taking taylor expansion of x in x 10.929 * [backup-simplify]: Simplify 0 into 0 10.929 * [backup-simplify]: Simplify 1 into 1 10.929 * [backup-simplify]: Simplify (/ 1 1) into 1 10.929 * [taylor]: Taking taylor expansion of 1.0 in x 10.929 * [backup-simplify]: Simplify 1.0 into 1.0 10.930 * [backup-simplify]: Simplify (+ 1 0) into 1 10.930 * [backup-simplify]: Simplify (log 1) into 0 10.931 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.931 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 10.931 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 10.931 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 10.931 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 10.931 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 10.931 * [taylor]: Taking taylor expansion of 1/4 in x 10.931 * [backup-simplify]: Simplify 1/4 into 1/4 10.931 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 10.931 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 10.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.931 * [taylor]: Taking taylor expansion of x in x 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify 1 into 1 10.932 * [backup-simplify]: Simplify (/ 1 1) into 1 10.932 * [taylor]: Taking taylor expansion of 1.0 in x 10.932 * [backup-simplify]: Simplify 1.0 into 1.0 10.932 * [backup-simplify]: Simplify (+ 1 0) into 1 10.933 * [backup-simplify]: Simplify (log 1) into 0 10.933 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.933 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 10.933 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 10.933 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 10.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.935 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 10.940 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.941 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 10.942 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 10.942 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 10.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.943 * [backup-simplify]: Simplify (+ 0 0) into 0 10.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 10.950 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 10.951 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 10.956 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 10.956 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 10.956 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (pow (/ 1 x) -1/4) (* 0.25 (pow (/ 1 (pow x 3)) 1/4))) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 10.956 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/4) 10.957 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 10.957 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 10.957 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 10.957 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 10.957 * [taylor]: Taking taylor expansion of 1/4 in x 10.957 * [backup-simplify]: Simplify 1/4 into 1/4 10.957 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 10.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.957 * [taylor]: Taking taylor expansion of 1.0 in x 10.957 * [backup-simplify]: Simplify 1.0 into 1.0 10.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.957 * [taylor]: Taking taylor expansion of x in x 10.957 * [backup-simplify]: Simplify 0 into 0 10.957 * [backup-simplify]: Simplify 1 into 1 10.957 * [backup-simplify]: Simplify (/ 1 1) into 1 10.957 * [backup-simplify]: Simplify (- 1) into -1 10.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.958 * [backup-simplify]: Simplify (log -1) into (log -1) 10.958 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.959 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 10.959 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 10.959 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 10.959 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 10.959 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 10.959 * [taylor]: Taking taylor expansion of 1/4 in x 10.959 * [backup-simplify]: Simplify 1/4 into 1/4 10.959 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 10.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 10.959 * [taylor]: Taking taylor expansion of 1.0 in x 10.959 * [backup-simplify]: Simplify 1.0 into 1.0 10.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.959 * [taylor]: Taking taylor expansion of x in x 10.959 * [backup-simplify]: Simplify 0 into 0 10.959 * [backup-simplify]: Simplify 1 into 1 10.959 * [backup-simplify]: Simplify (/ 1 1) into 1 10.960 * [backup-simplify]: Simplify (- 1) into -1 10.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.960 * [backup-simplify]: Simplify (log -1) into (log -1) 10.961 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.961 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 10.961 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 10.962 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 10.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.962 * [backup-simplify]: Simplify (- 0) into 0 10.963 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 10.967 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.968 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 10.970 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 10.970 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 10.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.971 * [backup-simplify]: Simplify (- 0) into 0 10.971 * [backup-simplify]: Simplify (+ 0 0) into 0 10.977 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 10.978 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 10.979 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 10.983 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 10.983 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 10.984 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 10.984 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 10.984 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/4) 10.984 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 10.984 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 10.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 10.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 10.984 * [taylor]: Taking taylor expansion of 1/4 in x 10.984 * [backup-simplify]: Simplify 1/4 into 1/4 10.984 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 10.984 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.984 * [taylor]: Taking taylor expansion of x in x 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify 1 into 1 10.984 * [taylor]: Taking taylor expansion of 1.0 in x 10.984 * [backup-simplify]: Simplify 1.0 into 1.0 10.985 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.985 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.986 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 10.986 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 10.986 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 10.986 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 10.987 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 10.987 * [taylor]: Taking taylor expansion of 1/4 in x 10.987 * [backup-simplify]: Simplify 1/4 into 1/4 10.987 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 10.987 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 10.987 * [taylor]: Taking taylor expansion of x in x 10.987 * [backup-simplify]: Simplify 0 into 0 10.987 * [backup-simplify]: Simplify 1 into 1 10.987 * [taylor]: Taking taylor expansion of 1.0 in x 10.987 * [backup-simplify]: Simplify 1.0 into 1.0 10.987 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 10.987 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 10.988 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 10.989 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 10.989 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 10.989 * [backup-simplify]: Simplify (+ 1 0) into 1 10.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 10.993 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 10.997 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 10.997 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 10.998 * [backup-simplify]: Simplify (+ 0 0) into 0 11.007 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 11.011 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 11.026 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 11.031 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 11.037 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (pow 1.0 1/4) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (* 0.25 (* x (pow 1.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 11.037 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/4) 11.037 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in (x) around 0 11.037 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 11.037 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 11.037 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 11.037 * [taylor]: Taking taylor expansion of 1/4 in x 11.038 * [backup-simplify]: Simplify 1/4 into 1/4 11.038 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 11.038 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.038 * [taylor]: Taking taylor expansion of x in x 11.038 * [backup-simplify]: Simplify 0 into 0 11.038 * [backup-simplify]: Simplify 1 into 1 11.038 * [backup-simplify]: Simplify (/ 1 1) into 1 11.038 * [taylor]: Taking taylor expansion of 1.0 in x 11.038 * [backup-simplify]: Simplify 1.0 into 1.0 11.038 * [backup-simplify]: Simplify (+ 1 0) into 1 11.039 * [backup-simplify]: Simplify (log 1) into 0 11.039 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 11.039 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 11.039 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 11.039 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/4) in x 11.040 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 x) 1.0)))) in x 11.040 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 x) 1.0))) in x 11.040 * [taylor]: Taking taylor expansion of 1/4 in x 11.040 * [backup-simplify]: Simplify 1/4 into 1/4 11.040 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 11.040 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 11.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.040 * [taylor]: Taking taylor expansion of x in x 11.040 * [backup-simplify]: Simplify 0 into 0 11.040 * [backup-simplify]: Simplify 1 into 1 11.040 * [backup-simplify]: Simplify (/ 1 1) into 1 11.040 * [taylor]: Taking taylor expansion of 1.0 in x 11.040 * [backup-simplify]: Simplify 1.0 into 1.0 11.041 * [backup-simplify]: Simplify (+ 1 0) into 1 11.041 * [backup-simplify]: Simplify (log 1) into 0 11.041 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 11.041 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 11.041 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 11.042 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 11.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.042 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 11.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 11.046 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 11.047 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 11.048 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 11.048 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 11.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.049 * [backup-simplify]: Simplify (+ 0 0) into 0 11.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 11.057 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 11.058 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 11.061 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 11.061 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 11.062 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (pow (/ 1 x) -1/4) (* 0.25 (pow (/ 1 (pow x 3)) 1/4))) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 11.062 * [backup-simplify]: Simplify (sqrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/4) 11.062 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 11.062 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 11.062 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 11.062 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 11.062 * [taylor]: Taking taylor expansion of 1/4 in x 11.062 * [backup-simplify]: Simplify 1/4 into 1/4 11.062 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 11.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.062 * [taylor]: Taking taylor expansion of 1.0 in x 11.062 * [backup-simplify]: Simplify 1.0 into 1.0 11.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.062 * [taylor]: Taking taylor expansion of x in x 11.062 * [backup-simplify]: Simplify 0 into 0 11.062 * [backup-simplify]: Simplify 1 into 1 11.062 * [backup-simplify]: Simplify (/ 1 1) into 1 11.063 * [backup-simplify]: Simplify (- 1) into -1 11.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.063 * [backup-simplify]: Simplify (log -1) into (log -1) 11.064 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 11.064 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 11.064 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 11.064 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 11.064 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 11.064 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 11.064 * [taylor]: Taking taylor expansion of 1/4 in x 11.064 * [backup-simplify]: Simplify 1/4 into 1/4 11.064 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 11.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 11.064 * [taylor]: Taking taylor expansion of 1.0 in x 11.064 * [backup-simplify]: Simplify 1.0 into 1.0 11.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.064 * [taylor]: Taking taylor expansion of x in x 11.064 * [backup-simplify]: Simplify 0 into 0 11.064 * [backup-simplify]: Simplify 1 into 1 11.065 * [backup-simplify]: Simplify (/ 1 1) into 1 11.065 * [backup-simplify]: Simplify (- 1) into -1 11.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.065 * [backup-simplify]: Simplify (log -1) into (log -1) 11.066 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 11.066 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 11.067 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 11.067 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 11.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.068 * [backup-simplify]: Simplify (- 0) into 0 11.068 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 11.072 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 11.073 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 11.075 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 11.076 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 11.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.077 * [backup-simplify]: Simplify (- 0) into 0 11.077 * [backup-simplify]: Simplify (+ 0 0) into 0 11.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 11.090 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 11.091 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 11.099 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 11.099 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 11.101 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 11.101 * * * [progress]: simplifying candidates 11.106 * [simplify]: Simplifying: (expm1 (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (log1p (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (+ 1.0 x) (+ 1.0 x)) (+ 1 1) (+ (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x))))) (log (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (exp (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (cbrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))))) (cbrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (sqrt (- 1.0 x)))) (* (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))) (* (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (* (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x)))))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (cbrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (sqrt (cbrt (+ 1.0 x)))) (sqrt (sqrt (cbrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* 1 1) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ 1.0 x))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt 1)) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (+ 1.0 x))) 1) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (cbrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (+ 1.0 x)))) (expm1 (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (log1p (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (- (log 1.0) (log (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (log (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (exp (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)) (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (* (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (* (* (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (sqrt (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (sqrt (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (- 1.0) (- (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ 1 (* (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))) (/ 1.0 (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1 (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1.0 (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ 1 (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (/ (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))) (/ 1.0 (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)))) (/ 1.0 1) (/ (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)) (cbrt 1.0)) (/ (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)) (sqrt 1.0)) (/ (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x)) 1.0) (/ 1.0 (+ (pow (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (sqrt x) (sqrt x)))) (expm1 (sqrt (sqrt (+ 1.0 x)))) (log1p (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (exp (sqrt (sqrt (+ 1.0 x)))) (* (cbrt (sqrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (cbrt (sqrt (sqrt (+ 1.0 x)))) (* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (sqrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (cbrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (sqrt (cbrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt 1)) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt 1) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ (pow 1.0 3) (pow x 3)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- 1.0 x))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ 1.0 x)))) (sqrt (sqrt (sqrt (+ 1.0 x)))) (expm1 (sqrt (sqrt (+ 1.0 x)))) (log1p 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(/ -1 x))))) (pow x 2)))) (- (+ (pow 1.0 1/4) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (* 0.25 (* x (pow 1.0 1/4))))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (pow (/ 1 x) -1/4) (* 0.25 (pow (/ 1 (pow x 3)) 1/4))) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 11.109 * * [simplify]: iteration 0: 257 enodes 11.192 * * [simplify]: iteration 1: 597 enodes 11.459 * * [simplify]: iteration 2: 1669 enodes 11.988 * * [simplify]: iteration complete: 5001 enodes 11.988 * * [simplify]: Extracting #0: cost 88 inf + 0 11.989 * * [simplify]: Extracting #1: cost 482 inf + 46 12.005 * * [simplify]: Extracting #2: cost 1206 inf + 3226 12.024 * * [simplify]: Extracting #3: cost 1471 inf + 31211 12.078 * * [simplify]: Extracting #4: cost 853 inf + 168945 12.184 * * [simplify]: Extracting #5: cost 305 inf + 345482 12.277 * * [simplify]: Extracting #6: cost 195 inf + 387744 12.352 * * [simplify]: Extracting #7: cost 115 inf + 407683 12.464 * * [simplify]: Extracting #8: cost 15 inf + 462689 12.568 * * [simplify]: Extracting #9: cost 0 inf + 473665 12.674 * [simplify]: Simplified to: (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x 1.0) (sqrt (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (+ x 1.0) (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))) (+ x 1.0) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (* (sqrt (sqrt (* (+ x 1.0) (- 1.0 x)))) (sqrt (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))))) (* (sqrt (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (sqrt (sqrt (- 1.0 x)))) (* (sqrt (sqrt (* (+ x 1.0) (- 1.0 x)))) (sqrt (sqrt (fma (* x 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1 (* (* x x) x)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (fma 0.25 (/ (exp (* 1/4 (+ 0 (log x)))) x) (- (exp (* 1/4 (+ 0 (log x)))) (/ (* (exp (* 1/4 (+ 0 (log x)))) 0.09375) (* x x)))) (fma (* -1/8 (* x x)) (pow (/ 1 (pow 1.0 7)) 1/4) (fma (pow 1.0 1/4) (fma 0.03125 (* x x) (* 0.25 x)) (pow 1.0 1/4))) (- (fma 0.25 (pow (/ 1 (* (* x x) x)) 1/4) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (fma 0.25 (/ (exp (* 1/4 (+ 0 (log x)))) x) (- (exp (* 1/4 (+ 0 (log x)))) (/ (* (exp (* 1/4 (+ 0 (log x)))) 0.09375) (* x x)))) 12.690 * * * [progress]: adding candidates to table 13.531 * [progress]: [Phase 3 of 3] Extracting. 13.531 * * [regime]: Finding splitpoints for: (# # # # # # #) 13.533 * * * [regime-changes]: Trying 1 branch expressions: (x) 13.534 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 13.627 * * * [regime]: Found split indices: #