50.463 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.106 * * * [progress]: [2/2] Setting up program. 0.111 * [progress]: [Phase 2 of 3] Improving. 0.111 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.111 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.111 * * [simplify]: iteration 1: (9 enodes) 0.135 * * [simplify]: iteration 2: (21 enodes) 0.141 * * [simplify]: iteration 3: (25 enodes) 0.148 * * [simplify]: Extracting #0: cost 1 inf + 0 0.148 * * [simplify]: Extracting #1: cost 4 inf + 0 0.148 * * [simplify]: Extracting #2: cost 4 inf + 1 0.148 * * [simplify]: Extracting #3: cost 7 inf + 1 0.148 * * [simplify]: Extracting #4: cost 8 inf + 2 0.148 * * [simplify]: Extracting #5: cost 9 inf + 2 0.148 * * [simplify]: Extracting #6: cost 8 inf + 3 0.149 * * [simplify]: Extracting #7: cost 1 inf + 1046 0.149 * * [simplify]: Extracting #8: cost 0 inf + 1184 0.149 * * [simplify]: Extracting #9: cost 0 inf + 1144 0.150 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.160 * * [progress]: iteration 1 / 4 0.160 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.193 * * * [progress]: generating rewritten candidates 0.193 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.246 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.270 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.289 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.289 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.289 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [backup-simplify]: Simplify 1/2 into 1/2 0.289 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.289 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.289 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [backup-simplify]: Simplify 1/2 into 1/2 0.289 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.290 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.290 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.291 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.291 * [taylor]: Taking taylor expansion of 1 in x 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.292 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.292 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.292 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.292 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.294 * [backup-simplify]: Simplify (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.294 * [backup-simplify]: Simplify (+ 1 (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.294 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.312 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.312 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of 1/2 in x 0.312 * [backup-simplify]: Simplify 1/2 into 1/2 0.312 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.313 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.313 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.313 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.313 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.314 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.314 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.314 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.314 * [taylor]: Taking taylor expansion of 1/2 in x 0.314 * [backup-simplify]: Simplify 1/2 into 1/2 0.314 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.314 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.314 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.314 * [taylor]: Taking taylor expansion of 1/2 in x 0.314 * [backup-simplify]: Simplify 1/2 into 1/2 0.314 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.314 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.314 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.315 * [backup-simplify]: Simplify (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) into (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.315 * [backup-simplify]: Simplify (+ 1 (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.315 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.330 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.330 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.330 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.330 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [backup-simplify]: Simplify 1/2 into 1/2 0.330 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.330 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.330 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [backup-simplify]: Simplify 1/2 into 1/2 0.330 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.330 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.330 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.331 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.331 * [taylor]: Taking taylor expansion of 1 in x 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.331 * [taylor]: Taking taylor expansion of 1/2 in x 0.331 * [backup-simplify]: Simplify 1/2 into 1/2 0.331 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.331 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.331 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.331 * [taylor]: Taking taylor expansion of 1/2 in x 0.331 * [backup-simplify]: Simplify 1/2 into 1/2 0.331 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.332 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.332 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.333 * [backup-simplify]: Simplify (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) into (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.333 * [backup-simplify]: Simplify (+ 1 (- (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.333 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.354 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.354 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.354 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.354 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.354 * [backup-simplify]: Simplify 1/2 into 1/2 0.354 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.354 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.355 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.355 * [taylor]: Taking taylor expansion of 1/2 in x 0.355 * [backup-simplify]: Simplify 1/2 into 1/2 0.355 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.355 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.355 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.357 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.357 * [taylor]: Taking taylor expansion of 1/2 in x 0.357 * [backup-simplify]: Simplify 1/2 into 1/2 0.357 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.357 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.357 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.357 * [taylor]: Taking taylor expansion of 1/2 in x 0.357 * [backup-simplify]: Simplify 1/2 into 1/2 0.357 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.357 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.357 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.359 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.376 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.376 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.376 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.376 * [taylor]: Taking taylor expansion of 1/2 in x 0.376 * [backup-simplify]: Simplify 1/2 into 1/2 0.376 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.376 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.376 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.376 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.376 * [taylor]: Taking taylor expansion of 1/2 in x 0.376 * [backup-simplify]: Simplify 1/2 into 1/2 0.376 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.377 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.377 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.378 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.378 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.378 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.379 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.379 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.379 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.380 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.400 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.400 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.400 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.401 * [taylor]: Taking taylor expansion of 1/2 in x 0.401 * [backup-simplify]: Simplify 1/2 into 1/2 0.401 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.401 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.401 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.401 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.401 * [taylor]: Taking taylor expansion of 1/2 in x 0.401 * [backup-simplify]: Simplify 1/2 into 1/2 0.401 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.401 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.401 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.403 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [backup-simplify]: Simplify 1/2 into 1/2 0.403 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.403 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.403 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [backup-simplify]: Simplify 1/2 into 1/2 0.403 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.403 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.403 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.405 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.422 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.422 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of 1/2 in x 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.423 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.423 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.423 * [taylor]: Taking taylor expansion of 1/2 in x 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of 1/2 in x 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.423 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.423 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 0.423 * [taylor]: Taking taylor expansion of 1/2 in x 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 0.423 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.424 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.432 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.432 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.432 * [taylor]: Taking taylor expansion of 1/2 in x 0.432 * [backup-simplify]: Simplify 1/2 into 1/2 0.432 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.432 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.432 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.432 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.432 * [taylor]: Taking taylor expansion of 1/2 in x 0.432 * [backup-simplify]: Simplify 1/2 into 1/2 0.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.432 * [taylor]: Taking taylor expansion of 1/2 in x 0.432 * [backup-simplify]: Simplify 1/2 into 1/2 0.432 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.432 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.432 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.433 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 0.433 * [taylor]: Taking taylor expansion of 1/2 in x 0.433 * [backup-simplify]: Simplify 1/2 into 1/2 0.433 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.433 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.433 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.441 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.441 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.441 * [taylor]: Taking taylor expansion of 1/2 in x 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.441 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.441 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.441 * [taylor]: Taking taylor expansion of 1/2 in x 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.441 * [taylor]: Taking taylor expansion of 1/2 in x 0.441 * [backup-simplify]: Simplify 1/2 into 1/2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.441 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.441 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.441 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 0.442 * [taylor]: Taking taylor expansion of 1/2 in x 0.442 * [backup-simplify]: Simplify 1/2 into 1/2 0.442 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.442 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.442 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.450 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 0.450 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.450 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.450 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.450 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.450 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.450 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.450 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.450 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.450 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.450 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.450 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.450 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (hypot 1 (/ 1 (/ 1 x))) into (hypot 1 x) 0.451 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.451 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.451 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.451 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.451 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.451 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (hypot 1 (/ -1 (/ 1 (- x)))) into (hypot 1 x) 0.451 * * * [progress]: simplifying candidates 0.451 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 0.451 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 0.451 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 0.451 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 0.451 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 0.451 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 0.451 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 0.451 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 16 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 20 / 70 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.452 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 32 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 0.452 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 37 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.453 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 49 / 70 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.453 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2))))> 0.453 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 0.453 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 0.454 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 0.455 * [simplify]: Simplifying: (/ (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)) (+ (* 1 1) (+ (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) (log (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2))) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2)) (- (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2) (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2)) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (hypot 1 x) (hypot 1 x) (hypot 1 x) 0.455 * * [simplify]: iteration 1: (84 enodes) 0.495 * * [simplify]: iteration 2: (177 enodes) 0.580 * * [simplify]: iteration 3: (419 enodes) 1.218 * * [simplify]: iteration 4: (1348 enodes) 5.064 * * [simplify]: Extracting #0: cost 50 inf + 0 5.065 * * [simplify]: Extracting #1: cost 241 inf + 2 5.067 * * [simplify]: Extracting #2: cost 574 inf + 1987 5.082 * * [simplify]: Extracting #3: cost 459 inf + 78599 5.140 * * [simplify]: Extracting #4: cost 25 inf + 180761 5.185 * * [simplify]: Extracting #5: cost 0 inf + 187877 5.268 * * [simplify]: Extracting #6: cost 0 inf + 187316 5.348 * [simplify]: Simplified to: (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (fabs (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) 1/8)) (sqrt (+ (/ (+ (/ 1/4 (hypot 1 x)) -1/4) (hypot 1 x)) 1/4)) (sqrt (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 1/2 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) 1/8) (+ (/ (+ (/ 1/4 (hypot 1 x)) -1/4) (hypot 1 x)) 1/4) (+ -1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (- (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2) (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2)) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2) (hypot 1 x) (hypot 1 x) (hypot 1 x) 5.354 * * * [progress]: adding candidates to table 5.975 * * [progress]: iteration 2 / 4 5.975 * * * [progress]: picking best candidate 5.983 * * * * [pick]: Picked # 5.983 * * * [progress]: localizing error 6.008 * * * [progress]: generating rewritten candidates 6.008 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.019 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 6.076 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 6.078 * * * [progress]: generating series expansions 6.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.078 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 6.078 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 6.078 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 6.078 * [taylor]: Taking taylor expansion of 1/2 in x 6.078 * [backup-simplify]: Simplify 1/2 into 1/2 6.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.078 * [taylor]: Taking taylor expansion of 1/2 in x 6.078 * [backup-simplify]: Simplify 1/2 into 1/2 6.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.078 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.078 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.079 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 6.079 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 6.079 * [taylor]: Taking taylor expansion of 1/2 in x 6.079 * [backup-simplify]: Simplify 1/2 into 1/2 6.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.079 * [taylor]: Taking taylor expansion of 1/2 in x 6.079 * [backup-simplify]: Simplify 1/2 into 1/2 6.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.079 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.079 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.079 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 6.079 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 6.079 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 x))) into (- (* 1/2 (/ 1 (hypot 1 x)))) 6.079 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 6.079 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 6.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 6.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 6.081 * [backup-simplify]: Simplify (- 0) into 0 6.081 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 6.083 * [backup-simplify]: Simplify (- 0) into 0 6.083 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 6.085 * [backup-simplify]: Simplify (- 0) into 0 6.086 * [backup-simplify]: Simplify (+ 0 0) into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 6.088 * [backup-simplify]: Simplify (- 0) into 0 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 6.091 * [backup-simplify]: Simplify (- 0) into 0 6.091 * [backup-simplify]: Simplify (+ 0 0) into 0 6.091 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 6.095 * [backup-simplify]: Simplify (- 0) into 0 6.095 * [backup-simplify]: Simplify (+ 0 0) into 0 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 6.095 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 6.095 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 6.095 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 6.095 * [taylor]: Taking taylor expansion of 1/2 in x 6.095 * [backup-simplify]: Simplify 1/2 into 1/2 6.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.095 * [taylor]: Taking taylor expansion of 1/2 in x 6.095 * [backup-simplify]: Simplify 1/2 into 1/2 6.095 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.096 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.096 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.096 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 6.096 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 6.096 * [taylor]: Taking taylor expansion of 1/2 in x 6.096 * [backup-simplify]: Simplify 1/2 into 1/2 6.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.096 * [taylor]: Taking taylor expansion of 1/2 in x 6.096 * [backup-simplify]: Simplify 1/2 into 1/2 6.096 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.096 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.096 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.096 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 6.096 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.096 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ 1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 6.097 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 6.097 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 6.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 6.098 * [backup-simplify]: Simplify (- 0) into 0 6.098 * [backup-simplify]: Simplify (+ 0 0) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.101 * [backup-simplify]: Simplify (+ 0 0) into 0 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 6.102 * [backup-simplify]: Simplify (- 0) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 6.105 * [backup-simplify]: Simplify (- 0) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.106 * [backup-simplify]: Simplify 0 into 0 6.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 6.108 * [backup-simplify]: Simplify (- 0) into 0 6.109 * [backup-simplify]: Simplify (+ 0 0) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 6.112 * [backup-simplify]: Simplify (- 0) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 6.113 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 6.113 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 6.113 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 6.113 * [taylor]: Taking taylor expansion of 1/2 in x 6.113 * [backup-simplify]: Simplify 1/2 into 1/2 6.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.113 * [taylor]: Taking taylor expansion of 1/2 in x 6.113 * [backup-simplify]: Simplify 1/2 into 1/2 6.113 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.113 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.113 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.113 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 6.113 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 6.113 * [taylor]: Taking taylor expansion of 1/2 in x 6.113 * [backup-simplify]: Simplify 1/2 into 1/2 6.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.113 * [taylor]: Taking taylor expansion of 1/2 in x 6.113 * [backup-simplify]: Simplify 1/2 into 1/2 6.113 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.113 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.113 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.113 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 6.114 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.114 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ -1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 6.114 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 6.114 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 6.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 6.115 * [backup-simplify]: Simplify (- 0) into 0 6.115 * [backup-simplify]: Simplify (+ 0 0) into 0 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 6.117 * [backup-simplify]: Simplify (- 0) into 0 6.117 * [backup-simplify]: Simplify (+ 0 0) into 0 6.117 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 6.119 * [backup-simplify]: Simplify (- 0) into 0 6.120 * [backup-simplify]: Simplify (+ 0 0) into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 6.122 * [backup-simplify]: Simplify (- 0) into 0 6.123 * [backup-simplify]: Simplify (+ 0 0) into 0 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 6.126 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 6.129 * [backup-simplify]: Simplify (- 0) into 0 6.130 * [backup-simplify]: Simplify (+ 0 0) into 0 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x))))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 6.130 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.130 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 6.130 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 6.131 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 6.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.131 * [taylor]: Taking taylor expansion of 1/2 in x 6.131 * [backup-simplify]: Simplify 1/2 into 1/2 6.131 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.131 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.131 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.131 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 6.131 * [taylor]: Taking taylor expansion of 1/2 in x 6.131 * [backup-simplify]: Simplify 1/2 into 1/2 6.131 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 6.131 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 6.131 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 6.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 6.132 * [backup-simplify]: Simplify (+ 0 0) into 0 6.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.133 * [taylor]: Taking taylor expansion of 1 in x 6.133 * [backup-simplify]: Simplify 1 into 1 6.133 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 6.133 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.133 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.133 * [taylor]: Taking taylor expansion of 1/2 in x 6.133 * [backup-simplify]: Simplify 1/2 into 1/2 6.133 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.133 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.133 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.133 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 6.133 * [taylor]: Taking taylor expansion of 1/2 in x 6.133 * [backup-simplify]: Simplify 1/2 into 1/2 6.133 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 6.133 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 6.133 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 6.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.135 * [taylor]: Taking taylor expansion of 1 in x 6.135 * [backup-simplify]: Simplify 1 into 1 6.135 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 6.135 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 6.137 * [backup-simplify]: Simplify (+ 0 0) into 0 6.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.138 * [backup-simplify]: Simplify (+ 0 0) into 0 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 6.140 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.145 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.145 * [backup-simplify]: Simplify (+ 0 0) into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 6.148 * [backup-simplify]: Simplify (+ 0 0) into 0 6.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.149 * [backup-simplify]: Simplify (+ 0 0) into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 6.152 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.154 * [backup-simplify]: Simplify (+ 0 0) into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 6.154 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 6.154 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 6.154 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 6.154 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.154 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.154 * [taylor]: Taking taylor expansion of 1/2 in x 6.154 * [backup-simplify]: Simplify 1/2 into 1/2 6.154 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.154 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.154 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.154 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 6.154 * [taylor]: Taking taylor expansion of 1/2 in x 6.155 * [backup-simplify]: Simplify 1/2 into 1/2 6.155 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.155 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 6.155 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 6.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 6.156 * [backup-simplify]: Simplify (+ 0 0) into 0 6.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.156 * [taylor]: Taking taylor expansion of 1 in x 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 6.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.156 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.156 * [taylor]: Taking taylor expansion of 1/2 in x 6.156 * [backup-simplify]: Simplify 1/2 into 1/2 6.157 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.157 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.157 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.157 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 6.157 * [taylor]: Taking taylor expansion of 1/2 in x 6.157 * [backup-simplify]: Simplify 1/2 into 1/2 6.157 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.157 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 6.157 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 6.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.159 * [taylor]: Taking taylor expansion of 1 in x 6.159 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 6.159 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 6.159 * [backup-simplify]: Simplify (+ 0 0) into 0 6.159 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 6.161 * [backup-simplify]: Simplify (+ 0 0) into 0 6.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.162 * [backup-simplify]: Simplify (+ 0 0) into 0 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 6.171 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.173 * [backup-simplify]: Simplify (+ 0 0) into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 6.175 * [backup-simplify]: Simplify (+ 0 0) into 0 6.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.176 * [backup-simplify]: Simplify (+ 0 0) into 0 6.176 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 6.180 * [backup-simplify]: Simplify (+ 0 0) into 0 6.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 6.182 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 6.182 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 6.182 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 6.182 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.182 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.182 * [taylor]: Taking taylor expansion of 1/2 in x 6.182 * [backup-simplify]: Simplify 1/2 into 1/2 6.182 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.182 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.182 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.182 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 6.182 * [taylor]: Taking taylor expansion of 1/2 in x 6.182 * [backup-simplify]: Simplify 1/2 into 1/2 6.183 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.183 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 6.183 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 6.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.184 * [taylor]: Taking taylor expansion of 1 in x 6.184 * [backup-simplify]: Simplify 1 into 1 6.184 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 6.184 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.184 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.184 * [taylor]: Taking taylor expansion of 1/2 in x 6.184 * [backup-simplify]: Simplify 1/2 into 1/2 6.184 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.184 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.184 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.184 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 6.184 * [taylor]: Taking taylor expansion of 1/2 in x 6.184 * [backup-simplify]: Simplify 1/2 into 1/2 6.185 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.185 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 6.185 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 6.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 6.186 * [backup-simplify]: Simplify (+ 0 0) into 0 6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.186 * [taylor]: Taking taylor expansion of 1 in x 6.186 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 6.187 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 6.187 * [backup-simplify]: Simplify (+ 0 0) into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 6.189 * [backup-simplify]: Simplify (+ 0 0) into 0 6.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.190 * [backup-simplify]: Simplify (+ 0 0) into 0 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 6.192 * [backup-simplify]: Simplify (+ 0 0) into 0 6.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.193 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 6.196 * [backup-simplify]: Simplify (+ 0 0) into 0 6.197 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.197 * [backup-simplify]: Simplify (+ 0 0) into 0 6.197 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 6.200 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.201 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 6.203 * [backup-simplify]: Simplify (+ 0 0) into 0 6.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.204 * [backup-simplify]: Simplify (+ 0 0) into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 6.204 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 6.205 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.205 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 6.205 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.205 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.205 * [taylor]: Taking taylor expansion of 1/2 in x 6.205 * [backup-simplify]: Simplify 1/2 into 1/2 6.205 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.205 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.205 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.205 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 6.205 * [taylor]: Taking taylor expansion of 1/2 in x 6.205 * [backup-simplify]: Simplify 1/2 into 1/2 6.205 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 6.205 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 6.205 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 6.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 6.206 * [backup-simplify]: Simplify (+ 0 0) into 0 6.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.206 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.206 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.206 * [taylor]: Taking taylor expansion of 1/2 in x 6.206 * [backup-simplify]: Simplify 1/2 into 1/2 6.206 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.206 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.206 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.206 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 6.206 * [taylor]: Taking taylor expansion of 1/2 in x 6.206 * [backup-simplify]: Simplify 1/2 into 1/2 6.206 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 6.206 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 6.206 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 6.207 * [backup-simplify]: Simplify (+ 0 0) into 0 6.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.207 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.207 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 6.208 * [backup-simplify]: Simplify (+ 0 0) into 0 6.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.208 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 6.210 * [backup-simplify]: Simplify (+ 0 0) into 0 6.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 6.212 * [backup-simplify]: Simplify (+ 0 0) into 0 6.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 6.214 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 6.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 6.216 * [backup-simplify]: Simplify (+ 0 0) into 0 6.217 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.217 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 6.217 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 6.217 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.217 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.217 * [taylor]: Taking taylor expansion of 1/2 in x 6.217 * [backup-simplify]: Simplify 1/2 into 1/2 6.217 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.217 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.217 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.218 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 6.218 * [taylor]: Taking taylor expansion of 1/2 in x 6.218 * [backup-simplify]: Simplify 1/2 into 1/2 6.218 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.218 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 6.218 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 6.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 0) into 0 6.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.219 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.219 * [taylor]: Taking taylor expansion of 1/2 in x 6.219 * [backup-simplify]: Simplify 1/2 into 1/2 6.219 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.219 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.219 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.219 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 6.219 * [taylor]: Taking taylor expansion of 1/2 in x 6.219 * [backup-simplify]: Simplify 1/2 into 1/2 6.219 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.219 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 6.219 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 6.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 6.220 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.220 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 6.221 * [backup-simplify]: Simplify (+ 0 0) into 0 6.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 6.223 * [backup-simplify]: Simplify (+ 0 0) into 0 6.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.223 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 6.225 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 6.227 * [backup-simplify]: Simplify (+ 0 0) into 0 6.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 6.230 * [backup-simplify]: Simplify (+ 0 0) into 0 6.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.230 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 6.230 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 6.230 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.230 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.231 * [taylor]: Taking taylor expansion of 1/2 in x 6.231 * [backup-simplify]: Simplify 1/2 into 1/2 6.231 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.231 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.231 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.231 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 6.231 * [taylor]: Taking taylor expansion of 1/2 in x 6.231 * [backup-simplify]: Simplify 1/2 into 1/2 6.231 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.231 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 6.231 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 6.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 6.232 * [backup-simplify]: Simplify (+ 0 0) into 0 6.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.232 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.232 * [taylor]: Taking taylor expansion of 1/2 in x 6.232 * [backup-simplify]: Simplify 1/2 into 1/2 6.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.232 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.232 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.232 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 6.232 * [taylor]: Taking taylor expansion of 1/2 in x 6.232 * [backup-simplify]: Simplify 1/2 into 1/2 6.232 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.232 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 6.232 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 6.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 6.233 * [backup-simplify]: Simplify (+ 0 0) into 0 6.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.233 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 6.237 * [backup-simplify]: Simplify (+ 0 0) into 0 6.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 6.240 * [backup-simplify]: Simplify (+ 0 0) into 0 6.242 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 6.245 * [backup-simplify]: Simplify (+ 0 0) into 0 6.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 6.250 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 6.250 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.250 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 6.250 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.250 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.250 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.250 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.251 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 6.251 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.251 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 6.251 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.251 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.251 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.251 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.251 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify (hypot 1 (/ 1 (/ 1 x))) into (hypot 1 x) 6.252 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 6.252 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 6.252 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.252 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.252 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.252 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.252 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify (hypot 1 (/ -1 (/ 1 (- x)))) into (hypot 1 x) 6.252 * * * [progress]: simplifying candidates 6.253 * * * * [progress]: [ 1 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 2 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 3 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 4 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 5 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 6 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 7 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 8 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 9 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 10 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 11 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 12 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 13 / 68 ] simplifiying candidate # 6.253 * * * * [progress]: [ 14 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 15 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 16 / 68 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 6.254 * * * * [progress]: [ 17 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 18 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 19 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 20 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 21 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 22 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 23 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 24 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 25 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 26 / 68 ] simplifiying candidate # 6.254 * * * * [progress]: [ 27 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 28 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 29 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 30 / 68 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 6.255 * * * * [progress]: [ 31 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 32 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 33 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 34 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 35 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 36 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 37 / 68 ] simplifiying candidate # 6.255 * * * * [progress]: [ 38 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 39 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 40 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 41 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 42 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 43 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 44 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 45 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 46 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 47 / 68 ] simplifiying candidate # 6.256 * * * * [progress]: [ 48 / 68 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 6.257 * * * * [progress]: [ 49 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 50 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 51 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 52 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 53 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 54 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 55 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 56 / 68 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2)))))> 6.257 * * * * [progress]: [ 57 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 58 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 59 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 60 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 61 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 62 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 63 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 64 / 68 ] simplifiying candidate # 6.257 * * * * [progress]: [ 65 / 68 ] simplifiying candidate # 6.258 * * * * [progress]: [ 66 / 68 ] simplifiying candidate # 6.258 * * * * [progress]: [ 67 / 68 ] simplifiying candidate # 6.258 * * * * [progress]: [ 68 / 68 ] simplifiying candidate # 6.259 * [simplify]: Simplifying: (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (- (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x))) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (* (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)) (+ (* 1 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (hypot 1 x) (hypot 1 x) (hypot 1 x) 6.261 * * [simplify]: iteration 1: (98 enodes) 6.311 * * [simplify]: iteration 2: (195 enodes) 6.367 * * [simplify]: iteration 3: (434 enodes) 7.038 * * [simplify]: iteration 4: (1314 enodes) 12.342 * * [simplify]: Extracting #0: cost 52 inf + 0 12.342 * * [simplify]: Extracting #1: cost 271 inf + 2 12.345 * * [simplify]: Extracting #2: cost 734 inf + 1318 12.354 * * [simplify]: Extracting #3: cost 669 inf + 41883 12.390 * * [simplify]: Extracting #4: cost 173 inf + 149902 12.439 * * [simplify]: Extracting #5: cost 22 inf + 200125 12.531 * * [simplify]: Extracting #6: cost 0 inf + 208913 12.619 * * [simplify]: Extracting #7: cost 0 inf + 208873 12.684 * [simplify]: Simplified to: (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (+ 1/4 (* (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (/ -1/2 (hypot 1 x)) (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (real->posit16 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (hypot 1 x) (hypot 1 x) (hypot 1 x) 12.692 * * * [progress]: adding candidates to table 13.307 * * [progress]: iteration 3 / 4 13.307 * * * [progress]: picking best candidate 13.324 * * * * [pick]: Picked # 13.325 * * * [progress]: localizing error 13.381 * * * [progress]: generating rewritten candidates 13.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 2 2) 13.387 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 13.408 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 2) 13.433 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 13.490 * * * [progress]: generating series expansions 13.491 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 2 2) 13.491 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.491 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 13.491 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.491 * [taylor]: Taking taylor expansion of 1/2 in x 13.491 * [backup-simplify]: Simplify 1/2 into 1/2 13.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.491 * [taylor]: Taking taylor expansion of 1/2 in x 13.491 * [backup-simplify]: Simplify 1/2 into 1/2 13.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.491 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.491 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.491 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 13.491 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.491 * [taylor]: Taking taylor expansion of 1/2 in x 13.491 * [backup-simplify]: Simplify 1/2 into 1/2 13.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.491 * [taylor]: Taking taylor expansion of 1/2 in x 13.491 * [backup-simplify]: Simplify 1/2 into 1/2 13.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.491 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.492 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.492 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 13.492 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 13.492 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 x))) into (- (* 1/2 (/ 1 (hypot 1 x)))) 13.492 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.492 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 13.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 13.494 * [backup-simplify]: Simplify (- 0) into 0 13.494 * [backup-simplify]: Simplify (+ 0 0) into 0 13.494 * [backup-simplify]: Simplify 0 into 0 13.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 13.496 * [backup-simplify]: Simplify (- 0) into 0 13.496 * [backup-simplify]: Simplify (+ 0 0) into 0 13.496 * [backup-simplify]: Simplify 0 into 0 13.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 13.498 * [backup-simplify]: Simplify (- 0) into 0 13.499 * [backup-simplify]: Simplify (+ 0 0) into 0 13.499 * [backup-simplify]: Simplify 0 into 0 13.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 13.501 * [backup-simplify]: Simplify (- 0) into 0 13.502 * [backup-simplify]: Simplify (+ 0 0) into 0 13.502 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 13.504 * [backup-simplify]: Simplify (- 0) into 0 13.505 * [backup-simplify]: Simplify (+ 0 0) into 0 13.505 * [backup-simplify]: Simplify 0 into 0 13.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 13.508 * [backup-simplify]: Simplify (- 0) into 0 13.509 * [backup-simplify]: Simplify (+ 0 0) into 0 13.509 * [backup-simplify]: Simplify 0 into 0 13.509 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.509 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.509 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 13.509 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.509 * [taylor]: Taking taylor expansion of 1/2 in x 13.509 * [backup-simplify]: Simplify 1/2 into 1/2 13.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.509 * [taylor]: Taking taylor expansion of 1/2 in x 13.509 * [backup-simplify]: Simplify 1/2 into 1/2 13.509 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.509 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.509 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.510 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 13.510 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.510 * [taylor]: Taking taylor expansion of 1/2 in x 13.510 * [backup-simplify]: Simplify 1/2 into 1/2 13.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.510 * [taylor]: Taking taylor expansion of 1/2 in x 13.510 * [backup-simplify]: Simplify 1/2 into 1/2 13.510 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.510 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.510 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.510 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 13.510 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 13.510 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ 1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.510 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.511 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 13.512 * [backup-simplify]: Simplify (- 0) into 0 13.512 * [backup-simplify]: Simplify (+ 0 0) into 0 13.512 * [backup-simplify]: Simplify 0 into 0 13.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 13.514 * [backup-simplify]: Simplify (- 0) into 0 13.514 * [backup-simplify]: Simplify (+ 0 0) into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 13.516 * [backup-simplify]: Simplify (- 0) into 0 13.516 * [backup-simplify]: Simplify (+ 0 0) into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 13.519 * [backup-simplify]: Simplify (- 0) into 0 13.519 * [backup-simplify]: Simplify (+ 0 0) into 0 13.519 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 13.522 * [backup-simplify]: Simplify (- 0) into 0 13.523 * [backup-simplify]: Simplify (+ 0 0) into 0 13.523 * [backup-simplify]: Simplify 0 into 0 13.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 13.526 * [backup-simplify]: Simplify (- 0) into 0 13.526 * [backup-simplify]: Simplify (+ 0 0) into 0 13.526 * [backup-simplify]: Simplify 0 into 0 13.526 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.527 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.527 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 13.527 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.527 * [taylor]: Taking taylor expansion of 1/2 in x 13.527 * [backup-simplify]: Simplify 1/2 into 1/2 13.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.527 * [taylor]: Taking taylor expansion of 1/2 in x 13.527 * [backup-simplify]: Simplify 1/2 into 1/2 13.527 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.527 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.527 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.527 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 13.527 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.527 * [taylor]: Taking taylor expansion of 1/2 in x 13.527 * [backup-simplify]: Simplify 1/2 into 1/2 13.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.527 * [taylor]: Taking taylor expansion of 1/2 in x 13.527 * [backup-simplify]: Simplify 1/2 into 1/2 13.527 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.527 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.527 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.528 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 13.528 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 13.528 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ -1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.528 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.528 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 13.529 * [backup-simplify]: Simplify (- 0) into 0 13.530 * [backup-simplify]: Simplify (+ 0 0) into 0 13.530 * [backup-simplify]: Simplify 0 into 0 13.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 13.536 * [backup-simplify]: Simplify (- 0) into 0 13.537 * [backup-simplify]: Simplify (+ 0 0) into 0 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 13.539 * [backup-simplify]: Simplify (- 0) into 0 13.539 * [backup-simplify]: Simplify (+ 0 0) into 0 13.540 * [backup-simplify]: Simplify 0 into 0 13.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 13.542 * [backup-simplify]: Simplify (- 0) into 0 13.542 * [backup-simplify]: Simplify (+ 0 0) into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 13.545 * [backup-simplify]: Simplify (- 0) into 0 13.546 * [backup-simplify]: Simplify (+ 0 0) into 0 13.546 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 13.549 * [backup-simplify]: Simplify (- 0) into 0 13.550 * [backup-simplify]: Simplify (+ 0 0) into 0 13.550 * [backup-simplify]: Simplify 0 into 0 13.550 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x))))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.550 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.550 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 13.550 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.550 * [taylor]: Taking taylor expansion of 1/2 in x 13.550 * [backup-simplify]: Simplify 1/2 into 1/2 13.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.550 * [taylor]: Taking taylor expansion of 1/2 in x 13.550 * [backup-simplify]: Simplify 1/2 into 1/2 13.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.551 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.551 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.551 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 13.551 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.551 * [taylor]: Taking taylor expansion of 1/2 in x 13.551 * [backup-simplify]: Simplify 1/2 into 1/2 13.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.551 * [taylor]: Taking taylor expansion of 1/2 in x 13.551 * [backup-simplify]: Simplify 1/2 into 1/2 13.551 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.551 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.551 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.551 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 13.551 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 13.551 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 x))) into (- (* 1/2 (/ 1 (hypot 1 x)))) 13.551 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.552 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 13.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 13.553 * [backup-simplify]: Simplify (- 0) into 0 13.553 * [backup-simplify]: Simplify (+ 0 0) into 0 13.553 * [backup-simplify]: Simplify 0 into 0 13.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 13.555 * [backup-simplify]: Simplify (- 0) into 0 13.555 * [backup-simplify]: Simplify (+ 0 0) into 0 13.555 * [backup-simplify]: Simplify 0 into 0 13.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 13.557 * [backup-simplify]: Simplify (- 0) into 0 13.557 * [backup-simplify]: Simplify (+ 0 0) into 0 13.557 * [backup-simplify]: Simplify 0 into 0 13.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 13.560 * [backup-simplify]: Simplify (- 0) into 0 13.560 * [backup-simplify]: Simplify (+ 0 0) into 0 13.560 * [backup-simplify]: Simplify 0 into 0 13.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 13.563 * [backup-simplify]: Simplify (- 0) into 0 13.563 * [backup-simplify]: Simplify (+ 0 0) into 0 13.563 * [backup-simplify]: Simplify 0 into 0 13.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 13.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 13.565 * [backup-simplify]: Simplify (- 0) into 0 13.565 * [backup-simplify]: Simplify (+ 0 0) into 0 13.565 * [backup-simplify]: Simplify 0 into 0 13.565 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.565 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.565 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 13.565 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.565 * [taylor]: Taking taylor expansion of 1/2 in x 13.565 * [backup-simplify]: Simplify 1/2 into 1/2 13.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.565 * [taylor]: Taking taylor expansion of 1/2 in x 13.565 * [backup-simplify]: Simplify 1/2 into 1/2 13.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.565 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.565 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.565 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 13.565 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.565 * [taylor]: Taking taylor expansion of 1/2 in x 13.566 * [backup-simplify]: Simplify 1/2 into 1/2 13.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.566 * [taylor]: Taking taylor expansion of 1/2 in x 13.566 * [backup-simplify]: Simplify 1/2 into 1/2 13.566 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.566 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.566 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.566 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 13.566 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 13.566 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ 1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.566 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.566 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 13.567 * [backup-simplify]: Simplify (- 0) into 0 13.567 * [backup-simplify]: Simplify (+ 0 0) into 0 13.567 * [backup-simplify]: Simplify 0 into 0 13.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 13.568 * [backup-simplify]: Simplify (- 0) into 0 13.569 * [backup-simplify]: Simplify (+ 0 0) into 0 13.569 * [backup-simplify]: Simplify 0 into 0 13.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 13.570 * [backup-simplify]: Simplify (- 0) into 0 13.570 * [backup-simplify]: Simplify (+ 0 0) into 0 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 13.572 * [backup-simplify]: Simplify (- 0) into 0 13.572 * [backup-simplify]: Simplify (+ 0 0) into 0 13.572 * [backup-simplify]: Simplify 0 into 0 13.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 13.574 * [backup-simplify]: Simplify (- 0) into 0 13.574 * [backup-simplify]: Simplify (+ 0 0) into 0 13.574 * [backup-simplify]: Simplify 0 into 0 13.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 13.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 13.576 * [backup-simplify]: Simplify (- 0) into 0 13.576 * [backup-simplify]: Simplify (+ 0 0) into 0 13.576 * [backup-simplify]: Simplify 0 into 0 13.576 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.576 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.576 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 13.576 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.576 * [taylor]: Taking taylor expansion of 1/2 in x 13.576 * [backup-simplify]: Simplify 1/2 into 1/2 13.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.576 * [taylor]: Taking taylor expansion of 1/2 in x 13.576 * [backup-simplify]: Simplify 1/2 into 1/2 13.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.577 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.577 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.577 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 13.577 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.577 * [taylor]: Taking taylor expansion of 1/2 in x 13.577 * [backup-simplify]: Simplify 1/2 into 1/2 13.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.577 * [taylor]: Taking taylor expansion of 1/2 in x 13.577 * [backup-simplify]: Simplify 1/2 into 1/2 13.577 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.577 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.577 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.577 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 13.577 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 13.577 * [backup-simplify]: Simplify (- (/ 1/2 (hypot 1 (/ -1 x)))) into (- (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.577 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.577 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 13.578 * [backup-simplify]: Simplify (- 0) into 0 13.578 * [backup-simplify]: Simplify (+ 0 0) into 0 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 13.579 * [backup-simplify]: Simplify (- 0) into 0 13.579 * [backup-simplify]: Simplify (+ 0 0) into 0 13.579 * [backup-simplify]: Simplify 0 into 0 13.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 13.581 * [backup-simplify]: Simplify (- 0) into 0 13.581 * [backup-simplify]: Simplify (+ 0 0) into 0 13.581 * [backup-simplify]: Simplify 0 into 0 13.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 13.582 * [backup-simplify]: Simplify (- 0) into 0 13.582 * [backup-simplify]: Simplify (+ 0 0) into 0 13.582 * [backup-simplify]: Simplify 0 into 0 13.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 13.584 * [backup-simplify]: Simplify (- 0) into 0 13.585 * [backup-simplify]: Simplify (+ 0 0) into 0 13.585 * [backup-simplify]: Simplify 0 into 0 13.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 13.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 13.587 * [backup-simplify]: Simplify (- 0) into 0 13.587 * [backup-simplify]: Simplify (+ 0 0) into 0 13.587 * [backup-simplify]: Simplify 0 into 0 13.587 * [backup-simplify]: Simplify (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x))))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.587 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2 2) 13.587 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) into (/ 1/4 (pow (hypot 1 x) 2)) 13.587 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in (x) around 0 13.587 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 13.587 * [taylor]: Taking taylor expansion of 1/4 in x 13.587 * [backup-simplify]: Simplify 1/4 into 1/4 13.587 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 13.587 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.587 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.587 * [backup-simplify]: Simplify (* (hypot 1 x) (hypot 1 x)) into (pow (hypot 1 x) 2) 13.587 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 x) 2)) into (/ 1/4 (pow (hypot 1 x) 2)) 13.587 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 x) 2)) in x 13.587 * [taylor]: Taking taylor expansion of 1/4 in x 13.587 * [backup-simplify]: Simplify 1/4 into 1/4 13.587 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 13.587 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.587 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.588 * [backup-simplify]: Simplify (* (hypot 1 x) (hypot 1 x)) into (pow (hypot 1 x) 2) 13.588 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 x) 2)) into (/ 1/4 (pow (hypot 1 x) 2)) 13.588 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 x) 2)) into (/ 1/4 (pow (hypot 1 x) 2)) 13.588 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (* 0 (hypot 1 x))) into 0 13.588 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 2)) (+ (* (/ 1/4 (pow (hypot 1 x) 2)) (/ 0 (pow (hypot 1 x) 2))))) into 0 13.588 * [backup-simplify]: Simplify 0 into 0 13.588 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (* 0 (hypot 1 x)))) into 0 13.588 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 2)) (+ (* (/ 1/4 (pow (hypot 1 x) 2)) (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))))) into 0 13.588 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x))))) into 0 13.589 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 2)) (+ (* (/ 1/4 (pow (hypot 1 x) 2)) (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))))) into 0 13.589 * [backup-simplify]: Simplify 0 into 0 13.590 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x)))))) into 0 13.590 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 2)) (+ (* (/ 1/4 (pow (hypot 1 x) 2)) (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))))) into 0 13.590 * [backup-simplify]: Simplify 0 into 0 13.591 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x))))))) into 0 13.592 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 2)) (+ (* (/ 1/4 (pow (hypot 1 x) 2)) (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))))) into 0 13.592 * [backup-simplify]: Simplify 0 into 0 13.593 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x)))))))) into 0 13.593 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 2)) (+ (* (/ 1/4 (pow (hypot 1 x) 2)) (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))) (* 0 (/ 0 (pow (hypot 1 x) 2))))) into 0 13.593 * [backup-simplify]: Simplify 0 into 0 13.593 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 x) 2)) into (/ 1/4 (pow (hypot 1 x) 2)) 13.593 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x)))) into (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) 13.594 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in (x) around 0 13.594 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 13.594 * [taylor]: Taking taylor expansion of 1/4 in x 13.594 * [backup-simplify]: Simplify 1/4 into 1/4 13.594 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 13.594 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.594 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.594 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 2) 13.594 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) into (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) 13.594 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) in x 13.594 * [taylor]: Taking taylor expansion of 1/4 in x 13.594 * [backup-simplify]: Simplify 1/4 into 1/4 13.594 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 13.594 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.594 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.594 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 2) 13.594 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) into (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) 13.594 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) into (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) 13.594 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (* 0 (hypot 1 (/ 1 x)))) into 0 13.594 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) (/ 0 (pow (hypot 1 (/ 1 x)) 2))))) into 0 13.595 * [backup-simplify]: Simplify 0 into 0 13.595 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x))))) into 0 13.595 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))))) into 0 13.595 * [backup-simplify]: Simplify 0 into 0 13.596 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x)))))) into 0 13.596 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))))) into 0 13.596 * [backup-simplify]: Simplify 0 into 0 13.597 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x))))))) into 0 13.597 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))))) into 0 13.597 * [backup-simplify]: Simplify 0 into 0 13.598 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x)))))))) into 0 13.599 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))))) into 0 13.599 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x))))))))) into 0 13.600 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ 1 x)) 2)) (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 2))))) into 0 13.600 * [backup-simplify]: Simplify 0 into 0 13.601 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ 1 (/ 1 x))) 2)) into (/ 1/4 (pow (hypot 1 x) 2)) 13.601 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x))))) into (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) 13.601 * [approximate]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in (x) around 0 13.601 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 13.601 * [taylor]: Taking taylor expansion of 1/4 in x 13.601 * [backup-simplify]: Simplify 1/4 into 1/4 13.601 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 13.601 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.601 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.601 * [backup-simplify]: Simplify (* (hypot 1 (/ -1 x)) (hypot 1 (/ -1 x))) into (pow (hypot 1 (/ -1 x)) 2) 13.601 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) into (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) 13.601 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) in x 13.601 * [taylor]: Taking taylor expansion of 1/4 in x 13.601 * [backup-simplify]: Simplify 1/4 into 1/4 13.601 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 13.601 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.601 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.601 * [backup-simplify]: Simplify (* (hypot 1 (/ -1 x)) (hypot 1 (/ -1 x))) into (pow (hypot 1 (/ -1 x)) 2) 13.601 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) into (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) 13.601 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) into (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) 13.601 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (* 0 (hypot 1 (/ -1 x)))) into 0 13.602 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) (/ 0 (pow (hypot 1 (/ -1 x)) 2))))) into 0 13.602 * [backup-simplify]: Simplify 0 into 0 13.602 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x))))) into 0 13.602 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))))) into 0 13.602 * [backup-simplify]: Simplify 0 into 0 13.603 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x)))))) into 0 13.603 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))))) into 0 13.603 * [backup-simplify]: Simplify 0 into 0 13.604 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x))))))) into 0 13.604 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))))) into 0 13.604 * [backup-simplify]: Simplify 0 into 0 13.605 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x)))))))) into 0 13.606 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))))) into 0 13.606 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x))))))))) into 0 13.607 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 2)) (+ (* (/ 1/4 (pow (hypot 1 (/ -1 x)) 2)) (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 2))))) into 0 13.608 * [backup-simplify]: Simplify 0 into 0 13.608 * [backup-simplify]: Simplify (/ 1/4 (pow (hypot 1 (/ -1 (/ 1 (- x)))) 2)) into (/ 1/4 (pow (hypot 1 x) 2)) 13.608 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 13.608 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) into (/ 1/8 (pow (hypot 1 x) 3)) 13.608 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in (x) around 0 13.608 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 13.608 * [taylor]: Taking taylor expansion of 1/8 in x 13.608 * [backup-simplify]: Simplify 1/8 into 1/8 13.608 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 13.608 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.608 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.608 * [backup-simplify]: Simplify (* (hypot 1 x) (hypot 1 x)) into (pow (hypot 1 x) 2) 13.608 * [backup-simplify]: Simplify (* (hypot 1 x) (pow (hypot 1 x) 2)) into (pow (hypot 1 x) 3) 13.608 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 x) 3)) into (/ 1/8 (pow (hypot 1 x) 3)) 13.608 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 13.608 * [taylor]: Taking taylor expansion of 1/8 in x 13.608 * [backup-simplify]: Simplify 1/8 into 1/8 13.608 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 13.608 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.608 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 13.608 * [backup-simplify]: Simplify (* (hypot 1 x) (hypot 1 x)) into (pow (hypot 1 x) 2) 13.608 * [backup-simplify]: Simplify (* (hypot 1 x) (pow (hypot 1 x) 2)) into (pow (hypot 1 x) 3) 13.608 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 x) 3)) into (/ 1/8 (pow (hypot 1 x) 3)) 13.609 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 x) 3)) into (/ 1/8 (pow (hypot 1 x) 3)) 13.609 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (* 0 (hypot 1 x))) into 0 13.609 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (* 0 (pow (hypot 1 x) 2))) into 0 13.609 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 3)) (+ (* (/ 1/8 (pow (hypot 1 x) 3)) (/ 0 (pow (hypot 1 x) 3))))) into 0 13.609 * [backup-simplify]: Simplify 0 into 0 13.609 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (* 0 (hypot 1 x)))) into 0 13.610 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (* 0 (pow (hypot 1 x) 2)))) into 0 13.610 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 3)) (+ (* (/ 1/8 (pow (hypot 1 x) 3)) (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))))) into 0 13.610 * [backup-simplify]: Simplify 0 into 0 13.610 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x))))) into 0 13.611 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 x) 2))))) into 0 13.611 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 3)) (+ (* (/ 1/8 (pow (hypot 1 x) 3)) (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))))) into 0 13.611 * [backup-simplify]: Simplify 0 into 0 13.612 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x)))))) into 0 13.613 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 x) 2)))))) into 0 13.613 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 3)) (+ (* (/ 1/8 (pow (hypot 1 x) 3)) (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))))) into 0 13.613 * [backup-simplify]: Simplify 0 into 0 13.614 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x))))))) into 0 13.615 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 x) 2))))))) into 0 13.615 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 3)) (+ (* (/ 1/8 (pow (hypot 1 x) 3)) (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))))) into 0 13.615 * [backup-simplify]: Simplify 0 into 0 13.617 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 x)))))))) into 0 13.618 * [backup-simplify]: Simplify (+ (* (hypot 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 x) 2)))))))) into 0 13.619 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 x) 3)) (+ (* (/ 1/8 (pow (hypot 1 x) 3)) (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))) (* 0 (/ 0 (pow (hypot 1 x) 3))))) into 0 13.619 * [backup-simplify]: Simplify 0 into 0 13.619 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 x) 3)) into (/ 1/8 (pow (hypot 1 x) 3)) 13.619 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 x))) (* (/ 1/2 (hypot 1 (/ 1 x))) (/ 1/2 (hypot 1 (/ 1 x))))) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 13.619 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in (x) around 0 13.619 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 13.619 * [taylor]: Taking taylor expansion of 1/8 in x 13.619 * [backup-simplify]: Simplify 1/8 into 1/8 13.619 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 13.619 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.620 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.620 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 2) 13.620 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (pow (hypot 1 (/ 1 x)) 2)) into (pow (hypot 1 (/ 1 x)) 3) 13.620 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 13.620 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 13.620 * [taylor]: Taking taylor expansion of 1/8 in x 13.620 * [backup-simplify]: Simplify 1/8 into 1/8 13.620 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 13.620 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.620 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 13.620 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 2) 13.620 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (pow (hypot 1 (/ 1 x)) 2)) into (pow (hypot 1 (/ 1 x)) 3) 13.621 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 13.621 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 13.621 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (* 0 (hypot 1 (/ 1 x)))) into 0 13.621 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (* 0 (pow (hypot 1 (/ 1 x)) 2))) into 0 13.621 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) (/ 0 (pow (hypot 1 (/ 1 x)) 3))))) into 0 13.621 * [backup-simplify]: Simplify 0 into 0 13.622 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x))))) into 0 13.623 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ 1 x)) 2)))) into 0 13.623 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))))) into 0 13.623 * [backup-simplify]: Simplify 0 into 0 13.624 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x)))))) into 0 13.625 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ 1 x)) 2))))) into 0 13.626 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))))) into 0 13.626 * [backup-simplify]: Simplify 0 into 0 13.627 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x))))))) into 0 13.629 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ 1 x)) 2)))))) into 0 13.629 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))))) into 0 13.629 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x)))))))) into 0 13.633 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ 1 x)) 2))))))) into 0 13.633 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))))) into 0 13.633 * [backup-simplify]: Simplify 0 into 0 13.636 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ 1 x))))))))) into 0 13.638 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ 1 x)) 2)))))))) into 0 13.639 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ 1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ 1 x)) 3))))) into 0 13.639 * [backup-simplify]: Simplify 0 into 0 13.639 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ 1 (/ 1 x))) 3)) into (/ 1/8 (pow (hypot 1 x) 3)) 13.639 * [backup-simplify]: Simplify (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (* (/ 1/2 (hypot 1 (/ 1 (- x)))) (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 13.639 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in (x) around 0 13.640 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 13.640 * [taylor]: Taking taylor expansion of 1/8 in x 13.640 * [backup-simplify]: Simplify 1/8 into 1/8 13.640 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 13.640 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.640 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.640 * [backup-simplify]: Simplify (* (hypot 1 (/ -1 x)) (hypot 1 (/ -1 x))) into (pow (hypot 1 (/ -1 x)) 2) 13.640 * [backup-simplify]: Simplify (* (hypot 1 (/ -1 x)) (pow (hypot 1 (/ -1 x)) 2)) into (pow (hypot 1 (/ -1 x)) 3) 13.640 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 13.640 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 13.640 * [taylor]: Taking taylor expansion of 1/8 in x 13.640 * [backup-simplify]: Simplify 1/8 into 1/8 13.640 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 13.640 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.640 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 13.641 * [backup-simplify]: Simplify (* (hypot 1 (/ -1 x)) (hypot 1 (/ -1 x))) into (pow (hypot 1 (/ -1 x)) 2) 13.641 * [backup-simplify]: Simplify (* (hypot 1 (/ -1 x)) (pow (hypot 1 (/ -1 x)) 2)) into (pow (hypot 1 (/ -1 x)) 3) 13.641 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 13.641 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 13.641 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (* 0 (hypot 1 (/ -1 x)))) into 0 13.642 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (* 0 (pow (hypot 1 (/ -1 x)) 2))) into 0 13.642 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) (/ 0 (pow (hypot 1 (/ -1 x)) 3))))) into 0 13.642 * [backup-simplify]: Simplify 0 into 0 13.643 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x))))) into 0 13.643 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ -1 x)) 2)))) into 0 13.644 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))))) into 0 13.644 * [backup-simplify]: Simplify 0 into 0 13.647 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x)))))) into 0 13.648 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ -1 x)) 2))))) into 0 13.649 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))))) into 0 13.649 * [backup-simplify]: Simplify 0 into 0 13.650 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x))))))) into 0 13.652 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ -1 x)) 2)))))) into 0 13.652 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))))) into 0 13.652 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x)))))))) into 0 13.656 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ -1 x)) 2))))))) into 0 13.656 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))))) into 0 13.656 * [backup-simplify]: Simplify 0 into 0 13.658 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (hypot 1 (/ -1 x))))))))) into 0 13.660 * [backup-simplify]: Simplify (+ (* (hypot 1 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (hypot 1 (/ -1 x)) 2)))))))) into 0 13.661 * [backup-simplify]: Simplify (- (/ 0 (pow (hypot 1 (/ -1 x)) 3)) (+ (* (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))) (* 0 (/ 0 (pow (hypot 1 (/ -1 x)) 3))))) into 0 13.661 * [backup-simplify]: Simplify 0 into 0 13.661 * [backup-simplify]: Simplify (/ 1/8 (pow (hypot 1 (/ -1 (/ 1 (- x)))) 3)) into (/ 1/8 (pow (hypot 1 x) 3)) 13.661 * * * [progress]: simplifying candidates 13.662 * * * * [progress]: [ 1 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 2 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 3 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 4 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 5 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 6 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 7 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 8 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 9 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 10 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 11 / 171 ] simplifiying candidate # 13.662 * * * * [progress]: [ 12 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 13 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 14 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 15 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 16 / 171 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))))))))))> 13.663 * * * * [progress]: [ 17 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 18 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 19 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 20 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 21 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 22 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 23 / 171 ] simplifiying candidate # 13.663 * * * * [progress]: [ 24 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 25 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 26 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 27 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 28 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 29 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 30 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 31 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 32 / 171 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (/ (sqrt (+ 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))))))))))> 13.664 * * * * [progress]: [ 33 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 34 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 35 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 36 / 171 ] simplifiying candidate # 13.664 * * * * [progress]: [ 37 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 38 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 39 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 40 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 41 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 42 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 43 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 44 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 45 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 46 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 47 / 171 ] simplifiying candidate # 13.665 * * * * [progress]: [ 48 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 49 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 50 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 51 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 52 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 53 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 54 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 55 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 56 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 57 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 58 / 171 ] simplifiying candidate # 13.666 * * * * [progress]: [ 59 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 60 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 61 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 62 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 63 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 64 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 65 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 66 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 67 / 171 ] simplifiying candidate # 13.667 * * * * [progress]: [ 68 / 171 ] simplifiying candidate # 13.668 * * * * [progress]: [ 69 / 171 ] simplifiying candidate # 13.668 * * * * [progress]: [ 70 / 171 ] simplifiying candidate # 13.668 * * * * [progress]: [ 71 / 171 ] simplifiying candidate # 13.668 * * * * [progress]: [ 72 / 171 ] simplifiying candidate # 13.668 * * * * [progress]: [ 73 / 171 ] simplifiying candidate # 13.668 * * * * [progress]: [ 74 / 171 ] simplifiying candidate # 13.668 * * * * [progress]: [ 75 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 76 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 77 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 78 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 79 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 80 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 81 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 82 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 83 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 84 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 85 / 171 ] simplifiying candidate # 13.669 * * * * [progress]: [ 86 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 87 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 88 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 89 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 90 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 91 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 92 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 93 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 94 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 95 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 96 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 97 / 171 ] simplifiying candidate # 13.670 * * * * [progress]: [ 98 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 99 / 171 ] simplifiying candidate #real (real->posit16 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))))) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))))))))))> 13.671 * * * * [progress]: [ 100 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 101 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 102 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 103 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 104 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 105 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 106 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 107 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 108 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 109 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 110 / 171 ] simplifiying candidate # 13.671 * * * * [progress]: [ 111 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 112 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 113 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 114 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 115 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 116 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 117 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 118 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 119 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 120 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 121 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 122 / 171 ] simplifiying candidate # 13.672 * * * * [progress]: [ 123 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 124 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 125 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 126 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 127 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 128 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 129 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 130 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 131 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 132 / 171 ] simplifiying candidate # 13.673 * * * * [progress]: [ 133 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 134 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 135 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 136 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 137 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 138 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 139 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 140 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 141 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 142 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 143 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 144 / 171 ] simplifiying candidate # 13.674 * * * * [progress]: [ 145 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 146 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 147 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 148 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 149 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 150 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 151 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 152 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 153 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 154 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 155 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 156 / 171 ] simplifiying candidate # 13.675 * * * * [progress]: [ 157 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 158 / 171 ] simplifiying candidate #real (real->posit16 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))))) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))))))))))> 13.676 * * * * [progress]: [ 159 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 160 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 161 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 162 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 163 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 164 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 165 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 166 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 167 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 168 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 169 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 170 / 171 ] simplifiying candidate # 13.676 * * * * [progress]: [ 171 / 171 ] simplifiying candidate # 13.680 * [simplify]: Simplifying: (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 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(/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (- (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x))) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (+ 1 1) (+ (- (log 1/2) (log (hypot 1 x))) (- (log 1/2) (log (hypot 1 x)))) (+ (- (log 1/2) (log (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) (+ (log (/ 1/2 (hypot 1 x))) (- (log 1/2) (log (hypot 1 x)))) (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) (log (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (exp (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* (cbrt (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (cbrt (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (cbrt (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (sqrt (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (sqrt (* (/ 1/2 (hypot 1 x)) (/ 1/2 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(/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* (cbrt (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (cbrt (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))) (cbrt (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* (* (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (* 1/2 (* 1/2 1/2)) (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) (* 1/2 (* (/ 1/2 (hypot 1 x)) 1/2)) (* (hypot 1 x) (hypot 1 x)) (* 1/2 (* 1/2 (/ 1/2 (hypot 1 x)))) (* (hypot 1 x) (hypot 1 x)) (* (sqrt (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (sqrt (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ (cbrt 1/2) (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ (sqrt 1/2) (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (sqrt (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (* 1/2 1/2)) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) 1/2)) (* (/ 1/2 (hypot 1 x)) (* 1/2 (/ 1/2 (hypot 1 x)))) (* 1/2 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (real->posit16 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (/ 1/4 (pow (hypot 1 x) 2)) (/ 1/4 (pow (hypot 1 x) 2)) (/ 1/4 (pow (hypot 1 x) 2)) (/ 1/8 (pow (hypot 1 x) 3)) (/ 1/8 (pow (hypot 1 x) 3)) (/ 1/8 (pow (hypot 1 x) 3)) 13.685 * * [simplify]: iteration 1: (192 enodes) 13.789 * * [simplify]: iteration 2: (579 enodes) 14.533 * * [simplify]: iteration 3: (1527 enodes) 16.116 * * [simplify]: Extracting #0: cost 89 inf + 0 16.121 * * [simplify]: Extracting #1: cost 826 inf + 6 16.129 * * [simplify]: Extracting #2: cost 1385 inf + 2733 16.142 * * [simplify]: Extracting #3: cost 1365 inf + 10255 16.175 * * [simplify]: Extracting #4: cost 1011 inf + 96427 16.226 * * [simplify]: Extracting #5: cost 377 inf + 272051 16.310 * * [simplify]: Extracting #6: cost 25 inf + 394003 16.419 * * [simplify]: Extracting #7: cost 0 inf + 402799 16.489 * * [simplify]: Extracting #8: cost 0 inf + 402589 16.560 * * [simplify]: Extracting #9: cost 0 inf + 402585 16.665 * [simplify]: Simplified to: (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (+ (+ 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (/ 1/4 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (+ (+ 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (/ 1/4 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) 2 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 2 (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) (+ (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x)))) (exp (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (* (cbrt (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (cbrt (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (cbrt (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fabs (/ 1/2 (hypot 1 x))) (fabs (/ 1/2 (hypot 1 x))) 1/4 (* (hypot 1 x) (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (* (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (* (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (cbrt 1/2) (hypot 1 x))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2 (/ 1/2 (* (hypot 1 x) (hypot 1 x))) (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x)))) (* (/ 1 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))) (/ (/ 1/4 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 1 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 1/4 (/ (/ 1 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (/ (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt (hypot 1 x)) (sqrt 1/2))) (/ (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt (hypot 1 x)) (sqrt 1/2))) (/ (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt (hypot 1 x)) (sqrt 1/2))) (/ (sqrt (/ 1/2 (hypot 1 x))) (/ (sqrt (hypot 1 x)) (sqrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 2 (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))) (/ (* 1/2 (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (hypot 1 x)) (/ (/ (* (* (cbrt 1/2) (cbrt 1/2)) 1/2) (hypot 1 x)) (sqrt (hypot 1 x))) (/ (* (* (cbrt 1/2) (cbrt 1/2)) 1/2) (hypot 1 x)) (/ 1/2 (* (/ (hypot 1 x) (sqrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (hypot 1 x) 1/2)) (* (/ (sqrt 1/2) (hypot 1 x)) 1/2) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (hypot 1 x)) (/ (/ 1/2 (sqrt (hypot 1 x))) (hypot 1 x)) (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (/ 1/4 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (cbrt (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))) (/ (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (hypot 1 x) 1/2)) (/ (cbrt 1/2) (* (/ (sqrt (hypot 1 x)) 1/2) (hypot 1 x))) (/ 1/2 (/ (hypot 1 x) (/ (cbrt 1/2) (hypot 1 x)))) (/ (* (/ (sqrt 1/2) (hypot 1 x)) 1/2) (cbrt (hypot 1 x))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (hypot 1 x) 1/2)) (/ (/ (sqrt 1/2) (hypot 1 x)) (/ (hypot 1 x) 1/2)) (/ (/ 1/4 (hypot 1 x)) (cbrt (hypot 1 x))) (/ (/ 1/4 (sqrt (hypot 1 x))) (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (* (hypot 1 x) (hypot 1 x))) (/ 1/4 (hypot 1 x)) (/ 1/4 (hypot 1 x)) (real->posit16 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) 3 3 3 3 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (* 3 (log (/ 1/2 (hypot 1 x)))) (exp (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (hypot 1 x)) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)) (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))) (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (hypot 1 x) 1/2)) (/ (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (hypot 1 x) 1/2)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (cbrt (/ 1/2 (hypot 1 x))))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))))) (/ (cbrt 1/2) (/ (/ (cbrt (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) (/ (* (* (cbrt 1/2) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (hypot 1 x))) (/ (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (cbrt 1/2))) (hypot 1 x)) (/ (/ (* (sqrt 1/2) 1/4) (* (hypot 1 x) (hypot 1 x))) (cbrt (hypot 1 x))) (/ (* (/ 1/4 (hypot 1 x)) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (hypot 1 x)) (/ (/ (* (sqrt 1/2) 1/4) (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (cbrt (hypot 1 x))) (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) (/ 1/8 (hypot 1 x)) (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (real->posit16 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) 16.699 * * * [progress]: adding candidates to table 18.797 * * [progress]: iteration 4 / 4 18.797 * * * [progress]: picking best candidate 18.810 * * * * [pick]: Picked # 18.810 * * * [progress]: localizing error 18.843 * * * [progress]: generating rewritten candidates 18.843 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 18.848 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 18.892 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 18.910 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 18.931 * * * [progress]: generating series expansions 18.931 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 18.931 * [backup-simplify]: Simplify (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 18.932 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 18.932 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 18.932 * [taylor]: Taking taylor expansion of 1 in x 18.932 * [backup-simplify]: Simplify 1 into 1 18.932 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 18.932 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 18.932 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 18.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 18.932 * [taylor]: Taking taylor expansion of 1/2 in x 18.932 * [backup-simplify]: Simplify 1/2 into 1/2 18.932 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 18.932 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.932 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 18.932 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 18.932 * [taylor]: Taking taylor expansion of 1/2 in x 18.932 * [backup-simplify]: Simplify 1/2 into 1/2 18.932 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 18.932 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 18.932 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2) 18.933 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) 18.933 * [backup-simplify]: Simplify (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 18.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 18.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 18.934 * [backup-simplify]: Simplify (+ 0 0) into 0 18.934 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into 0 18.935 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2))) into 0 18.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into 0 18.935 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 18.935 * [taylor]: Taking taylor expansion of 1 in x 18.935 * [backup-simplify]: Simplify 1 into 1 18.935 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 18.935 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 18.935 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 18.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 18.935 * [taylor]: Taking taylor expansion of 1/2 in x 18.935 * [backup-simplify]: Simplify 1/2 into 1/2 18.935 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 18.935 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 18.935 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 18.935 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 18.935 * [taylor]: Taking taylor expansion of 1/2 in x 18.935 * [backup-simplify]: Simplify 1/2 into 1/2 18.936 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 18.936 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 18.936 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2) 18.936 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) 18.936 * [backup-simplify]: Simplify (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 18.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 18.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 18.937 * [backup-simplify]: Simplify (+ 0 0) into 0 18.938 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) into 0 18.938 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2))) into 0 18.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into 0 18.938 * [backup-simplify]: Simplify (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) into (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 18.939 * [backup-simplify]: Simplify (+ 1 (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 18.939 * [backup-simplify]: Simplify (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 18.939 * [backup-simplify]: Simplify (- 0) into 0 18.940 * [backup-simplify]: Simplify (+ 0 0) into 0 18.940 * [backup-simplify]: Simplify 0 into 0 18.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 18.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 18.941 * [backup-simplify]: Simplify (+ 0 0) into 0 18.942 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 18.943 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2)))) into 0 18.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into 0 18.944 * [backup-simplify]: Simplify (- 0) into 0 18.944 * [backup-simplify]: Simplify (+ 0 0) into 0 18.944 * [backup-simplify]: Simplify 0 into 0 18.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 18.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 18.946 * [backup-simplify]: Simplify (+ 0 0) into 0 18.948 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))))) into 0 18.949 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2))))) into 0 18.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into 0 18.950 * [backup-simplify]: Simplify (- 0) into 0 18.951 * [backup-simplify]: Simplify (+ 0 0) into 0 18.951 * [backup-simplify]: Simplify 0 into 0 18.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 18.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 18.953 * [backup-simplify]: Simplify (+ 0 0) into 0 18.954 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))))) into 0 18.955 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2)))))) into 0 18.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into 0 18.957 * [backup-simplify]: Simplify (- 0) into 0 18.957 * [backup-simplify]: Simplify (+ 0 0) into 0 18.957 * [backup-simplify]: Simplify 0 into 0 18.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 18.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 18.960 * [backup-simplify]: Simplify (+ 0 0) into 0 18.962 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))))))) into 0 18.963 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2))))))) into 0 18.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into 0 18.965 * [backup-simplify]: Simplify (- 0) into 0 18.965 * [backup-simplify]: Simplify (+ 0 0) into 0 18.965 * [backup-simplify]: Simplify 0 into 0 18.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 18.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 18.968 * [backup-simplify]: Simplify (+ 0 0) into 0 18.970 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))))))) into 0 18.972 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 2)))))))) into 0 18.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)))) into 0 18.974 * [backup-simplify]: Simplify (- 0) into 0 18.974 * [backup-simplify]: Simplify (+ 0 0) into 0 18.974 * [backup-simplify]: Simplify 0 into 0 18.975 * [backup-simplify]: Simplify (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 18.975 * [backup-simplify]: Simplify (- 1 (* (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 18.975 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 18.975 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 18.975 * [taylor]: Taking taylor expansion of 1 in x 18.975 * [backup-simplify]: Simplify 1 into 1 18.975 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 18.975 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 18.975 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 18.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 18.975 * [taylor]: Taking taylor expansion of 1/2 in x 18.975 * [backup-simplify]: Simplify 1/2 into 1/2 18.975 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 18.975 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.975 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 18.975 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 18.975 * [taylor]: Taking taylor expansion of 1/2 in x 18.975 * [backup-simplify]: Simplify 1/2 into 1/2 18.976 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 18.976 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 18.976 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2) 18.976 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) 18.976 * [backup-simplify]: Simplify (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 18.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 18.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 18.978 * [backup-simplify]: Simplify (+ 0 0) into 0 18.978 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) into 0 18.978 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2))) into 0 18.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into 0 18.979 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 18.979 * [taylor]: Taking taylor expansion of 1 in x 18.979 * [backup-simplify]: Simplify 1 into 1 18.979 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 18.979 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 18.979 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 18.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 18.979 * [taylor]: Taking taylor expansion of 1/2 in x 18.979 * [backup-simplify]: Simplify 1/2 into 1/2 18.979 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 18.979 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 18.979 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 18.979 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 18.979 * [taylor]: Taking taylor expansion of 1/2 in x 18.979 * [backup-simplify]: Simplify 1/2 into 1/2 18.979 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 18.979 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 18.979 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2) 18.980 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) 18.980 * [backup-simplify]: Simplify (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 18.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 18.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 18.981 * [backup-simplify]: Simplify (+ 0 0) into 0 18.981 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) into 0 18.982 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2))) into 0 18.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into 0 18.982 * [backup-simplify]: Simplify (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) into (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 18.982 * [backup-simplify]: Simplify (+ 1 (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 18.983 * [backup-simplify]: Simplify (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 18.983 * [backup-simplify]: Simplify (- 0) into 0 18.983 * [backup-simplify]: Simplify (+ 0 0) into 0 18.984 * [backup-simplify]: Simplify 0 into 0 18.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 18.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 18.985 * [backup-simplify]: Simplify (+ 0 0) into 0 18.986 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 18.986 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2)))) into 0 18.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into 0 18.988 * [backup-simplify]: Simplify (- 0) into 0 18.988 * [backup-simplify]: Simplify (+ 0 0) into 0 18.988 * [backup-simplify]: Simplify 0 into 0 18.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 18.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 18.990 * [backup-simplify]: Simplify (+ 0 0) into 0 18.991 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))))) into 0 18.992 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2))))) into 0 18.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into 0 18.993 * [backup-simplify]: Simplify (- 0) into 0 18.994 * [backup-simplify]: Simplify (+ 0 0) into 0 18.994 * [backup-simplify]: Simplify 0 into 0 18.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 18.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 18.996 * [backup-simplify]: Simplify (+ 0 0) into 0 18.997 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))))) into 0 18.999 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2)))))) into 0 19.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into 0 19.000 * [backup-simplify]: Simplify (- 0) into 0 19.001 * [backup-simplify]: Simplify (+ 0 0) into 0 19.001 * [backup-simplify]: Simplify 0 into 0 19.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 19.004 * [backup-simplify]: Simplify (+ 0 0) into 0 19.005 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))))))) into 0 19.007 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2))))))) into 0 19.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into 0 19.009 * [backup-simplify]: Simplify (- 0) into 0 19.009 * [backup-simplify]: Simplify (+ 0 0) into 0 19.009 * [backup-simplify]: Simplify 0 into 0 19.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 19.013 * [backup-simplify]: Simplify (+ 0 0) into 0 19.015 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))))))) into 0 19.017 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 2)))))))) into 0 19.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)))) into 0 19.019 * [backup-simplify]: Simplify (- 0) into 0 19.019 * [backup-simplify]: Simplify (+ 0 0) into 0 19.019 * [backup-simplify]: Simplify 0 into 0 19.020 * [backup-simplify]: Simplify (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2) 3))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 19.020 * [backup-simplify]: Simplify (- 1 (* (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 19.020 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 19.020 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.020 * [taylor]: Taking taylor expansion of 1 in x 19.020 * [backup-simplify]: Simplify 1 into 1 19.020 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.020 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.020 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.020 * [taylor]: Taking taylor expansion of 1/2 in x 19.020 * [backup-simplify]: Simplify 1/2 into 1/2 19.020 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.020 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.020 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.021 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.021 * [taylor]: Taking taylor expansion of 1/2 in x 19.021 * [backup-simplify]: Simplify 1/2 into 1/2 19.021 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.021 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.021 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2) 19.021 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) 19.022 * [backup-simplify]: Simplify (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 19.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.023 * [backup-simplify]: Simplify (+ 0 0) into 0 19.023 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) into 0 19.024 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2))) into 0 19.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into 0 19.024 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.024 * [taylor]: Taking taylor expansion of 1 in x 19.024 * [backup-simplify]: Simplify 1 into 1 19.024 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.024 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.024 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.024 * [taylor]: Taking taylor expansion of 1/2 in x 19.024 * [backup-simplify]: Simplify 1/2 into 1/2 19.024 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.024 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.024 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.024 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.024 * [taylor]: Taking taylor expansion of 1/2 in x 19.025 * [backup-simplify]: Simplify 1/2 into 1/2 19.025 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.025 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.025 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2) 19.025 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2)) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) 19.025 * [backup-simplify]: Simplify (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 19.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.027 * [backup-simplify]: Simplify (+ 0 0) into 0 19.027 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) into 0 19.027 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2))) into 0 19.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into 0 19.028 * [backup-simplify]: Simplify (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) into (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 19.028 * [backup-simplify]: Simplify (+ 1 (- (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 19.028 * [backup-simplify]: Simplify (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 19.029 * [backup-simplify]: Simplify (- 0) into 0 19.029 * [backup-simplify]: Simplify (+ 0 0) into 0 19.029 * [backup-simplify]: Simplify 0 into 0 19.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 19.031 * [backup-simplify]: Simplify (+ 0 0) into 0 19.031 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.032 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2)))) into 0 19.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into 0 19.033 * [backup-simplify]: Simplify (- 0) into 0 19.033 * [backup-simplify]: Simplify (+ 0 0) into 0 19.033 * [backup-simplify]: Simplify 0 into 0 19.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 19.035 * [backup-simplify]: Simplify (+ 0 0) into 0 19.036 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))))) into 0 19.037 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2))))) into 0 19.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into 0 19.039 * [backup-simplify]: Simplify (- 0) into 0 19.039 * [backup-simplify]: Simplify (+ 0 0) into 0 19.039 * [backup-simplify]: Simplify 0 into 0 19.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 19.041 * [backup-simplify]: Simplify (+ 0 0) into 0 19.043 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))))) into 0 19.044 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2)))))) into 0 19.045 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into 0 19.045 * [backup-simplify]: Simplify (- 0) into 0 19.046 * [backup-simplify]: Simplify (+ 0 0) into 0 19.046 * [backup-simplify]: Simplify 0 into 0 19.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 19.049 * [backup-simplify]: Simplify (+ 0 0) into 0 19.050 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))))))) into 0 19.052 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2))))))) into 0 19.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into 0 19.053 * [backup-simplify]: Simplify (- 0) into 0 19.058 * [backup-simplify]: Simplify (+ 0 0) into 0 19.058 * [backup-simplify]: Simplify 0 into 0 19.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 19.061 * [backup-simplify]: Simplify (+ 0 0) into 0 19.063 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))))))) into 0 19.065 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 2)))))))) into 0 19.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)))) into 0 19.067 * [backup-simplify]: Simplify (- 0) into 0 19.067 * [backup-simplify]: Simplify (+ 0 0) into 0 19.067 * [backup-simplify]: Simplify 0 into 0 19.067 * [backup-simplify]: Simplify (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2) 3))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 19.067 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 19.068 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 19.068 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 19.068 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 19.068 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.068 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.068 * [taylor]: Taking taylor expansion of 1/2 in x 19.068 * [backup-simplify]: Simplify 1/2 into 1/2 19.068 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.068 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.068 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 19.068 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 19.068 * [taylor]: Taking taylor expansion of 1/2 in x 19.068 * [backup-simplify]: Simplify 1/2 into 1/2 19.068 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 19.068 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 19.068 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 19.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 19.069 * [backup-simplify]: Simplify (+ 0 0) into 0 19.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.070 * [taylor]: Taking taylor expansion of 1 in x 19.070 * [backup-simplify]: Simplify 1 into 1 19.070 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 19.070 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.070 * [taylor]: Taking taylor expansion of 1/2 in x 19.070 * [backup-simplify]: Simplify 1/2 into 1/2 19.070 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.070 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.070 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 19.070 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 19.070 * [taylor]: Taking taylor expansion of 1/2 in x 19.070 * [backup-simplify]: Simplify 1/2 into 1/2 19.070 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 19.070 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 19.070 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 19.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 19.071 * [backup-simplify]: Simplify (+ 0 0) into 0 19.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.071 * [taylor]: Taking taylor expansion of 1 in x 19.071 * [backup-simplify]: Simplify 1 into 1 19.072 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 19.072 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 19.072 * [backup-simplify]: Simplify (+ 0 0) into 0 19.072 * [backup-simplify]: Simplify 0 into 0 19.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 19.073 * [backup-simplify]: Simplify (+ 0 0) into 0 19.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.075 * [backup-simplify]: Simplify (+ 0 0) into 0 19.075 * [backup-simplify]: Simplify 0 into 0 19.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 19.076 * [backup-simplify]: Simplify (+ 0 0) into 0 19.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.077 * [backup-simplify]: Simplify (+ 0 0) into 0 19.077 * [backup-simplify]: Simplify 0 into 0 19.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 19.080 * [backup-simplify]: Simplify (+ 0 0) into 0 19.080 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.081 * [backup-simplify]: Simplify (+ 0 0) into 0 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 19.083 * [backup-simplify]: Simplify (+ 0 0) into 0 19.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.084 * [backup-simplify]: Simplify (+ 0 0) into 0 19.084 * [backup-simplify]: Simplify 0 into 0 19.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 19.087 * [backup-simplify]: Simplify (+ 0 0) into 0 19.087 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.088 * [backup-simplify]: Simplify (+ 0 0) into 0 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 19.088 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 19.088 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 19.088 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 19.088 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.088 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.088 * [taylor]: Taking taylor expansion of 1/2 in x 19.088 * [backup-simplify]: Simplify 1/2 into 1/2 19.088 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.088 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.088 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 19.088 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 19.088 * [taylor]: Taking taylor expansion of 1/2 in x 19.088 * [backup-simplify]: Simplify 1/2 into 1/2 19.088 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 19.088 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 19.088 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 19.089 * [backup-simplify]: Simplify (+ 0 0) into 0 19.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.089 * [taylor]: Taking taylor expansion of 1 in x 19.089 * [backup-simplify]: Simplify 1 into 1 19.089 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 19.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.089 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.089 * [taylor]: Taking taylor expansion of 1/2 in x 19.089 * [backup-simplify]: Simplify 1/2 into 1/2 19.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.089 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.090 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 19.090 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 19.090 * [taylor]: Taking taylor expansion of 1/2 in x 19.090 * [backup-simplify]: Simplify 1/2 into 1/2 19.090 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 19.090 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 19.090 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 19.090 * [backup-simplify]: Simplify (+ 0 0) into 0 19.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.091 * [taylor]: Taking taylor expansion of 1 in x 19.091 * [backup-simplify]: Simplify 1 into 1 19.091 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 19.091 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 19.091 * [backup-simplify]: Simplify (+ 0 0) into 0 19.091 * [backup-simplify]: Simplify 0 into 0 19.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 19.092 * [backup-simplify]: Simplify (+ 0 0) into 0 19.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.093 * [backup-simplify]: Simplify (+ 0 0) into 0 19.093 * [backup-simplify]: Simplify 0 into 0 19.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 19.094 * [backup-simplify]: Simplify (+ 0 0) into 0 19.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.095 * [backup-simplify]: Simplify (+ 0 0) into 0 19.095 * [backup-simplify]: Simplify 0 into 0 19.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 19.096 * [backup-simplify]: Simplify (+ 0 0) into 0 19.097 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.097 * [backup-simplify]: Simplify (+ 0 0) into 0 19.097 * [backup-simplify]: Simplify 0 into 0 19.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 19.099 * [backup-simplify]: Simplify (+ 0 0) into 0 19.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.100 * [backup-simplify]: Simplify (+ 0 0) into 0 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 19.102 * [backup-simplify]: Simplify (+ 0 0) into 0 19.102 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.102 * [backup-simplify]: Simplify (+ 0 0) into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.103 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 19.103 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 19.103 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 19.103 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 19.103 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.103 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.103 * [taylor]: Taking taylor expansion of 1/2 in x 19.103 * [backup-simplify]: Simplify 1/2 into 1/2 19.103 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.103 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.103 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.103 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.103 * [taylor]: Taking taylor expansion of 1/2 in x 19.103 * [backup-simplify]: Simplify 1/2 into 1/2 19.103 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.103 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.103 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.104 * [backup-simplify]: Simplify (+ 0 0) into 0 19.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.104 * [taylor]: Taking taylor expansion of 1 in x 19.104 * [backup-simplify]: Simplify 1 into 1 19.104 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 19.104 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.104 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.104 * [taylor]: Taking taylor expansion of 1/2 in x 19.104 * [backup-simplify]: Simplify 1/2 into 1/2 19.104 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.104 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.104 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.104 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.104 * [taylor]: Taking taylor expansion of 1/2 in x 19.104 * [backup-simplify]: Simplify 1/2 into 1/2 19.104 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.104 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.104 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.105 * [backup-simplify]: Simplify (+ 0 0) into 0 19.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.105 * [taylor]: Taking taylor expansion of 1 in x 19.105 * [backup-simplify]: Simplify 1 into 1 19.105 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 19.106 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 19.106 * [backup-simplify]: Simplify (+ 0 0) into 0 19.106 * [backup-simplify]: Simplify 0 into 0 19.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 19.107 * [backup-simplify]: Simplify (+ 0 0) into 0 19.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.108 * [backup-simplify]: Simplify (+ 0 0) into 0 19.108 * [backup-simplify]: Simplify 0 into 0 19.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 19.109 * [backup-simplify]: Simplify (+ 0 0) into 0 19.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.110 * [backup-simplify]: Simplify (+ 0 0) into 0 19.110 * [backup-simplify]: Simplify 0 into 0 19.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 19.111 * [backup-simplify]: Simplify (+ 0 0) into 0 19.112 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.112 * [backup-simplify]: Simplify (+ 0 0) into 0 19.112 * [backup-simplify]: Simplify 0 into 0 19.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 19.114 * [backup-simplify]: Simplify (+ 0 0) into 0 19.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.115 * [backup-simplify]: Simplify (+ 0 0) into 0 19.115 * [backup-simplify]: Simplify 0 into 0 19.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 19.117 * [backup-simplify]: Simplify (+ 0 0) into 0 19.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.118 * [backup-simplify]: Simplify (+ 0 0) into 0 19.118 * [backup-simplify]: Simplify 0 into 0 19.118 * [backup-simplify]: Simplify (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) 1) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 19.118 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 19.119 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.119 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 19.119 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.119 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.119 * [taylor]: Taking taylor expansion of 1/2 in x 19.119 * [backup-simplify]: Simplify 1/2 into 1/2 19.119 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.119 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.119 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 19.119 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 19.119 * [taylor]: Taking taylor expansion of 1/2 in x 19.119 * [backup-simplify]: Simplify 1/2 into 1/2 19.119 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 19.119 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 19.119 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 19.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 19.120 * [backup-simplify]: Simplify (+ 0 0) into 0 19.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.121 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.121 * [taylor]: Taking taylor expansion of 1/2 in x 19.121 * [backup-simplify]: Simplify 1/2 into 1/2 19.121 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.121 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.121 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 19.121 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 19.121 * [taylor]: Taking taylor expansion of 1/2 in x 19.121 * [backup-simplify]: Simplify 1/2 into 1/2 19.121 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 19.121 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 19.121 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 19.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 19.123 * [backup-simplify]: Simplify (+ 0 0) into 0 19.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.123 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.123 * [backup-simplify]: Simplify 0 into 0 19.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 19.124 * [backup-simplify]: Simplify (+ 0 0) into 0 19.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.125 * [backup-simplify]: Simplify 0 into 0 19.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 19.127 * [backup-simplify]: Simplify (+ 0 0) into 0 19.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.128 * [backup-simplify]: Simplify 0 into 0 19.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 19.130 * [backup-simplify]: Simplify (+ 0 0) into 0 19.131 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.131 * [backup-simplify]: Simplify 0 into 0 19.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 19.134 * [backup-simplify]: Simplify (+ 0 0) into 0 19.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.134 * [backup-simplify]: Simplify 0 into 0 19.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 19.136 * [backup-simplify]: Simplify (+ 0 0) into 0 19.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.137 * [backup-simplify]: Simplify 0 into 0 19.137 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.137 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.137 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 19.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.137 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.137 * [taylor]: Taking taylor expansion of 1/2 in x 19.137 * [backup-simplify]: Simplify 1/2 into 1/2 19.137 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.137 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.137 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 19.137 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 19.137 * [taylor]: Taking taylor expansion of 1/2 in x 19.137 * [backup-simplify]: Simplify 1/2 into 1/2 19.137 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 19.137 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 19.138 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 19.138 * [backup-simplify]: Simplify (+ 0 0) into 0 19.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.138 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.138 * [taylor]: Taking taylor expansion of 1/2 in x 19.138 * [backup-simplify]: Simplify 1/2 into 1/2 19.138 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.138 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.139 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 19.139 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 19.139 * [taylor]: Taking taylor expansion of 1/2 in x 19.139 * [backup-simplify]: Simplify 1/2 into 1/2 19.139 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 19.139 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 19.139 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 19.139 * [backup-simplify]: Simplify (+ 0 0) into 0 19.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.140 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.140 * [backup-simplify]: Simplify 0 into 0 19.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 19.141 * [backup-simplify]: Simplify (+ 0 0) into 0 19.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.141 * [backup-simplify]: Simplify 0 into 0 19.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 19.142 * [backup-simplify]: Simplify (+ 0 0) into 0 19.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.143 * [backup-simplify]: Simplify 0 into 0 19.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 19.144 * [backup-simplify]: Simplify (+ 0 0) into 0 19.145 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 19.147 * [backup-simplify]: Simplify (+ 0 0) into 0 19.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.147 * [backup-simplify]: Simplify 0 into 0 19.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 19.149 * [backup-simplify]: Simplify (+ 0 0) into 0 19.150 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.150 * [backup-simplify]: Simplify 0 into 0 19.150 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.150 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.150 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 19.150 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.150 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.150 * [taylor]: Taking taylor expansion of 1/2 in x 19.150 * [backup-simplify]: Simplify 1/2 into 1/2 19.150 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.150 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.150 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.150 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.150 * [taylor]: Taking taylor expansion of 1/2 in x 19.150 * [backup-simplify]: Simplify 1/2 into 1/2 19.150 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.150 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.150 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.151 * [backup-simplify]: Simplify (+ 0 0) into 0 19.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.151 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.151 * [taylor]: Taking taylor expansion of 1/2 in x 19.151 * [backup-simplify]: Simplify 1/2 into 1/2 19.151 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.151 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.151 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.151 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.152 * [taylor]: Taking taylor expansion of 1/2 in x 19.152 * [backup-simplify]: Simplify 1/2 into 1/2 19.152 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.152 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.152 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.152 * [backup-simplify]: Simplify (+ 0 0) into 0 19.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.153 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.153 * [backup-simplify]: Simplify 0 into 0 19.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 19.154 * [backup-simplify]: Simplify (+ 0 0) into 0 19.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.154 * [backup-simplify]: Simplify 0 into 0 19.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 19.155 * [backup-simplify]: Simplify (+ 0 0) into 0 19.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.156 * [backup-simplify]: Simplify 0 into 0 19.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 19.161 * [backup-simplify]: Simplify (+ 0 0) into 0 19.161 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.161 * [backup-simplify]: Simplify 0 into 0 19.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 19.164 * [backup-simplify]: Simplify (+ 0 0) into 0 19.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.164 * [backup-simplify]: Simplify 0 into 0 19.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 19.167 * [backup-simplify]: Simplify (+ 0 0) into 0 19.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.169 * [backup-simplify]: Simplify 0 into 0 19.169 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.169 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 19.169 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.169 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 19.169 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.169 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.169 * [taylor]: Taking taylor expansion of 1/2 in x 19.169 * [backup-simplify]: Simplify 1/2 into 1/2 19.169 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.169 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.170 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 19.170 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 19.170 * [taylor]: Taking taylor expansion of 1/2 in x 19.170 * [backup-simplify]: Simplify 1/2 into 1/2 19.170 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 19.170 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 19.170 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 19.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 19.171 * [backup-simplify]: Simplify (+ 0 0) into 0 19.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.171 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.171 * [taylor]: Taking taylor expansion of 1/2 in x 19.171 * [backup-simplify]: Simplify 1/2 into 1/2 19.171 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.171 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.171 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 19.171 * [backup-simplify]: Simplify (/ 1 (hypot 1 x)) into (/ 1 (hypot 1 x)) 19.171 * [taylor]: Taking taylor expansion of 1/2 in x 19.171 * [backup-simplify]: Simplify 1/2 into 1/2 19.171 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 x))) into (/ 1/2 (hypot 1 x)) 19.172 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 19.172 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))))) into 0 19.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 x)))) into 0 19.173 * [backup-simplify]: Simplify (+ 0 0) into 0 19.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.173 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.173 * [backup-simplify]: Simplify 0 into 0 19.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))) into 0 19.175 * [backup-simplify]: Simplify (+ 0 0) into 0 19.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.175 * [backup-simplify]: Simplify 0 into 0 19.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))) into 0 19.177 * [backup-simplify]: Simplify (+ 0 0) into 0 19.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.178 * [backup-simplify]: Simplify 0 into 0 19.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))) into 0 19.180 * [backup-simplify]: Simplify (+ 0 0) into 0 19.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.181 * [backup-simplify]: Simplify 0 into 0 19.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x)))))))) into 0 19.183 * [backup-simplify]: Simplify (+ 0 0) into 0 19.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.184 * [backup-simplify]: Simplify 0 into 0 19.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 x)) (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))) (* 0 (/ 0 (hypot 1 x))))) into 0 19.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 x))))))))) into 0 19.187 * [backup-simplify]: Simplify (+ 0 0) into 0 19.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) into 0 19.188 * [backup-simplify]: Simplify 0 into 0 19.189 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.189 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.189 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 19.189 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.189 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.189 * [taylor]: Taking taylor expansion of 1/2 in x 19.189 * [backup-simplify]: Simplify 1/2 into 1/2 19.189 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.189 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.189 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 19.189 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 19.189 * [taylor]: Taking taylor expansion of 1/2 in x 19.189 * [backup-simplify]: Simplify 1/2 into 1/2 19.189 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 19.189 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 19.190 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 19.191 * [backup-simplify]: Simplify (+ 0 0) into 0 19.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.191 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.191 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.191 * [taylor]: Taking taylor expansion of 1/2 in x 19.191 * [backup-simplify]: Simplify 1/2 into 1/2 19.191 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.191 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.191 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 19.191 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ 1 x))) into (/ 1 (hypot 1 (/ 1 x))) 19.191 * [taylor]: Taking taylor expansion of 1/2 in x 19.191 * [backup-simplify]: Simplify 1/2 into 1/2 19.192 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) into (/ 1/2 (hypot 1 (/ 1 x))) 19.192 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 19.192 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))) into 0 19.193 * [backup-simplify]: Simplify (+ 0 0) into 0 19.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.194 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 19.194 * [backup-simplify]: Simplify 0 into 0 19.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))) into 0 19.195 * [backup-simplify]: Simplify (+ 0 0) into 0 19.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.196 * [backup-simplify]: Simplify 0 into 0 19.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))) into 0 19.198 * [backup-simplify]: Simplify (+ 0 0) into 0 19.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.199 * [backup-simplify]: Simplify 0 into 0 19.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))) into 0 19.201 * [backup-simplify]: Simplify (+ 0 0) into 0 19.203 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.203 * [backup-simplify]: Simplify 0 into 0 19.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x))))))))) into 0 19.205 * [backup-simplify]: Simplify (+ 0 0) into 0 19.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.206 * [backup-simplify]: Simplify 0 into 0 19.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ 1 x))) (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))) (* 0 (/ 0 (hypot 1 (/ 1 x)))))) into 0 19.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ 1 x)))))))))) into 0 19.210 * [backup-simplify]: Simplify (+ 0 0) into 0 19.211 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) into 0 19.211 * [backup-simplify]: Simplify 0 into 0 19.211 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 (/ 1 x))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.211 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.211 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 19.211 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.211 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.211 * [taylor]: Taking taylor expansion of 1/2 in x 19.211 * [backup-simplify]: Simplify 1/2 into 1/2 19.211 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.211 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.211 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.212 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.212 * [taylor]: Taking taylor expansion of 1/2 in x 19.212 * [backup-simplify]: Simplify 1/2 into 1/2 19.212 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.212 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.212 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.213 * [backup-simplify]: Simplify (+ 0 0) into 0 19.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.213 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 19.213 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.213 * [taylor]: Taking taylor expansion of 1/2 in x 19.213 * [backup-simplify]: Simplify 1/2 into 1/2 19.213 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.213 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.214 * [backup-simplify]: Simplify (hypot 1 (/ -1 x)) into (hypot 1 (/ -1 x)) 19.214 * [backup-simplify]: Simplify (/ 1 (hypot 1 (/ -1 x))) into (/ 1 (hypot 1 (/ -1 x))) 19.214 * [taylor]: Taking taylor expansion of 1/2 in x 19.214 * [backup-simplify]: Simplify 1/2 into 1/2 19.214 * [backup-simplify]: Simplify (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 19.214 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ -1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 19.214 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))) into 0 19.215 * [backup-simplify]: Simplify (+ 0 0) into 0 19.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.216 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 19.216 * [backup-simplify]: Simplify 0 into 0 19.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))) into 0 19.217 * [backup-simplify]: Simplify (+ 0 0) into 0 19.218 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.218 * [backup-simplify]: Simplify 0 into 0 19.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))) into 0 19.220 * [backup-simplify]: Simplify (+ 0 0) into 0 19.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.221 * [backup-simplify]: Simplify 0 into 0 19.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))) into 0 19.223 * [backup-simplify]: Simplify (+ 0 0) into 0 19.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.224 * [backup-simplify]: Simplify 0 into 0 19.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x))))))))) into 0 19.227 * [backup-simplify]: Simplify (+ 0 0) into 0 19.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.228 * [backup-simplify]: Simplify 0 into 0 19.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (hypot 1 (/ -1 x))) (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))) (* 0 (/ 0 (hypot 1 (/ -1 x)))))) into 0 19.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (hypot 1 (/ -1 x)))))))))) into 0 19.231 * [backup-simplify]: Simplify (+ 0 0) into 0 19.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) into 0 19.232 * [backup-simplify]: Simplify 0 into 0 19.232 * [backup-simplify]: Simplify (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 (/ 1 (- x)))))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.232 * * * [progress]: simplifying candidates 19.232 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 19.232 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 19.232 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 19.232 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 19.232 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 9 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 13 / 74 ] simplifiying candidate #real (real->posit16 (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))> 19.233 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 16 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 19.233 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 26 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 27 / 74 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (+ (/ 1/2 (hypot 1 x)) 1/2))))> 19.234 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 32 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 19.234 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 39 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 45 / 74 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))> 19.235 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 19.235 * * * * [progress]: [ 48 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 19.236 * * * * [progress]: [ 61 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (/ 1/2 (hypot 1 x)) 1/2))))> 19.237 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 19.237 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 19.239 * [simplify]: Simplifying: (/ (exp 1) (exp (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (log (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (exp (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (cbrt (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (* (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (pow 1 3) (pow (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 3)) (+ (* 1 1) (+ (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* 1 1) (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (real->posit16 (- 1 (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (* (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp 1)) (log (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (exp (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (+ (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3) (pow 1 3)) (+ (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 1)) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 19.241 * * [simplify]: iteration 1: (87 enodes) 19.286 * * [simplify]: iteration 2: (212 enodes) 19.364 * * [simplify]: iteration 3: (493 enodes) 19.946 * * [simplify]: iteration 4: (1576 enodes) 23.380 * * [simplify]: Extracting #0: cost 40 inf + 0 23.381 * * [simplify]: Extracting #1: cost 183 inf + 2 23.383 * * [simplify]: Extracting #2: cost 665 inf + 50 23.388 * * [simplify]: Extracting #3: cost 1087 inf + 171 23.393 * * [simplify]: Extracting #4: cost 1165 inf + 530 23.399 * * [simplify]: Extracting #5: cost 1109 inf + 9508 23.421 * * [simplify]: Extracting #6: cost 888 inf + 52793 23.469 * * [simplify]: Extracting #7: cost 402 inf + 229332 23.621 * * [simplify]: Extracting #8: cost 33 inf + 397334 23.761 * * [simplify]: Extracting #9: cost 0 inf + 412390 23.882 * [simplify]: Simplified to: (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 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(real->posit16 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) 1/8)) (sqrt (+ (- 1/4 (/ 1/4 (hypot 1 x))) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (sqrt (- (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 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(hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 23.890 * * * [progress]: adding candidates to table 24.623 * [progress]: [Phase 3 of 3] Extracting. 24.624 * * [regime]: Finding splitpoints for: (# # #real (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (+ (/ 1/2 (hypot 1 x)) 1/2))))> # #) 24.625 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 24.625 * * * * [regimes]: Trying to branch on x from (# # #real (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (+ (/ 1/2 (hypot 1 x)) 1/2))))> # #) 24.667 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #real (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (+ (/ 1/2 (hypot 1 x)) 1/2))))> # #) 24.726 * * * [regime]: Found split indices: #