0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.069 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.070 * [simplify]: Simplifying (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.070 * * [simplify]: iteration 1: (9 enodes) 0.076 * * [simplify]: iteration 2: (39 enodes) 0.088 * * [simplify]: iteration 3: (49 enodes) 0.097 * * [simplify]: iteration 4: (51 enodes) 0.117 * * [simplify]: Extracting #0: cost 1 inf + 0 0.117 * * [simplify]: Extracting #1: cost 5 inf + 0 0.117 * * [simplify]: Extracting #2: cost 7 inf + 1 0.118 * * [simplify]: Extracting #3: cost 12 inf + 1 0.118 * * [simplify]: Extracting #4: cost 15 inf + 2 0.118 * * [simplify]: Extracting #5: cost 17 inf + 2 0.118 * * [simplify]: Extracting #6: cost 15 inf + 60 0.118 * * [simplify]: Extracting #7: cost 6 inf + 1143 0.118 * * [simplify]: Extracting #8: cost 0 inf + 2360 0.119 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.119 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.119 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.119 * [simplify]: Simplified (2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.190 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.197 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 0.198 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.222 * * * [progress]: generating series expansions 0.222 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.222 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.223 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.223 * [taylor]: Taking taylor expansion of 1 in x 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.223 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.223 * [taylor]: Taking taylor expansion of 1/2 in x 0.223 * [backup-simplify]: Simplify 1/2 into 1/2 0.223 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.223 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.223 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.223 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.223 * [taylor]: Taking taylor expansion of 1 in x 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of 1 in x 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of (* x x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (* 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (sqrt 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of 1/2 in x 0.226 * [backup-simplify]: Simplify 1/2 into 1/2 0.226 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.227 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.227 * [backup-simplify]: Simplify (sqrt 1) into 1 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.229 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.229 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of 1/2 in x 0.229 * [backup-simplify]: Simplify 1/2 into 1/2 0.229 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.229 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.229 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.229 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of (* x x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (* 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (sqrt 1) into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of 1/2 in x 0.232 * [backup-simplify]: Simplify 1/2 into 1/2 0.232 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.232 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.233 * [backup-simplify]: Simplify (sqrt 1) into 1 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.234 * [backup-simplify]: Simplify (- 1) into -1 0.235 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.237 * [backup-simplify]: Simplify (+ 0 1) into 1 0.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.238 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.239 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.239 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.239 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.240 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.240 * [backup-simplify]: Simplify 1/8 into 1/8 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.253 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.254 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.255 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.256 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.256 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.256 * [backup-simplify]: Simplify -11/128 into -11/128 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 0.279 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.279 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.281 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.282 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.282 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.282 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.283 * [backup-simplify]: Simplify (+ (* 69/1024 (pow x 6)) (+ (* -11/128 (pow x 4)) (* 1/8 (pow x 2)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 0.283 * [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))) 0.283 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of 1/2 in x 0.283 * [backup-simplify]: Simplify 1/2 into 1/2 0.283 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.283 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.283 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of 1 in x 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (sqrt 1) into 1 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ 0 1/2) into 1/2 0.289 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.290 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.290 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.292 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.292 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 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 (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.292 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.292 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of 1 in x 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (+ 0 1) into 1 0.294 * [backup-simplify]: Simplify (sqrt 1) into 1 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.298 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.298 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.299 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.299 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.300 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.301 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.302 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.303 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.305 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.308 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.310 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.319 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.327 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.329 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.332 * [backup-simplify]: Simplify (+ (* (/ 1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (- (* 1/4 (/ 1 (sqrt 1/2)))) (/ 1 x)) (- 1 (sqrt 1/2)))) into (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) 0.332 * [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))) 0.332 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.332 * [taylor]: Taking taylor expansion of 1 in x 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [backup-simplify]: Simplify 1/2 into 1/2 0.332 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.333 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.333 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of 1 in x 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.333 * [taylor]: Taking taylor expansion of -1 in x 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ -1 1) into -1 0.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.333 * [taylor]: Taking taylor expansion of -1 in x 0.333 * [backup-simplify]: Simplify -1 into -1 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ -1 1) into -1 0.334 * [backup-simplify]: Simplify (* -1 -1) into 1 0.334 * [backup-simplify]: Simplify (+ 0 1) into 1 0.334 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of 1/2 in x 0.337 * [backup-simplify]: Simplify 1/2 into 1/2 0.337 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.337 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.338 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.338 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.339 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.339 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.339 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of 1/2 in x 0.339 * [backup-simplify]: Simplify 1/2 into 1/2 0.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.339 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.339 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [backup-simplify]: Simplify -1 into -1 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ -1 1) into -1 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [backup-simplify]: Simplify -1 into -1 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ -1 1) into -1 0.340 * [backup-simplify]: Simplify (* -1 -1) into 1 0.340 * [backup-simplify]: Simplify (+ 0 1) into 1 0.341 * [backup-simplify]: Simplify (sqrt 1) into 1 0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of 1/2 in x 0.343 * [backup-simplify]: Simplify 1/2 into 1/2 0.343 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.343 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.344 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.344 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.345 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.346 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.346 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.347 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.348 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.350 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.352 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.360 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.363 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.366 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.371 * [backup-simplify]: Simplify (+ (* (/ 1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1/4 (/ 1 (sqrt 1/2)))) (/ 1 (- x))) (- 1 (sqrt 1/2)))) into (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) 0.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.371 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.371 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of 1/2 in x 0.372 * [backup-simplify]: Simplify 1/2 into 1/2 0.372 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.372 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.372 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (* x x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (* 0 0) into 0 0.373 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.376 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 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 (hypot 1 x) in x 0.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.377 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.377 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.377 * [taylor]: Taking taylor expansion of 1 in x 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of 1 in x 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (* x x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (* 0 0) into 0 0.378 * [backup-simplify]: Simplify (+ 1 0) into 1 0.378 * [backup-simplify]: Simplify (sqrt 1) into 1 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.381 * [backup-simplify]: Simplify 1/2 into 1/2 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.384 * [backup-simplify]: Simplify (+ 0 1) into 1 0.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.385 * [backup-simplify]: Simplify -1/4 into -1/4 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.392 * [backup-simplify]: Simplify 3/16 into 3/16 0.392 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 0.392 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.392 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.392 * [taylor]: Taking taylor expansion of 1/2 in x 0.392 * [backup-simplify]: Simplify 1/2 into 1/2 0.392 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.392 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.392 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.392 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (+ 0 1) into 1 0.394 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.396 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.396 * [taylor]: Taking taylor expansion of 1/2 in x 0.396 * [backup-simplify]: Simplify 1/2 into 1/2 0.396 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.397 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.397 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.397 * [taylor]: Taking taylor expansion of 1 in x 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of 1 in x 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (+ 0 1) into 1 0.398 * [backup-simplify]: Simplify (sqrt 1) into 1 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.400 * [backup-simplify]: Simplify 1/2 into 1/2 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.403 * [backup-simplify]: Simplify (+ 1 0) into 1 0.403 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.404 * [backup-simplify]: Simplify -1/4 into -1/4 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.415 * [backup-simplify]: Simplify 3/16 into 3/16 0.416 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 0.416 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.416 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.416 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of 1/2 in x 0.416 * [backup-simplify]: Simplify 1/2 into 1/2 0.416 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.416 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.416 * [taylor]: Taking taylor expansion of -1 in x 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [backup-simplify]: Simplify -1 into -1 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (/ -1 1) into -1 0.418 * [backup-simplify]: Simplify (* -1 -1) into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (sqrt 1) into 1 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.422 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.422 * [taylor]: Taking taylor expansion of 1/2 in x 0.422 * [backup-simplify]: Simplify 1/2 into 1/2 0.422 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.422 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.422 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.422 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of 1 in x 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ -1 1) into -1 0.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (/ -1 1) into -1 0.424 * [backup-simplify]: Simplify (* -1 -1) into 1 0.424 * [backup-simplify]: Simplify (+ 0 1) into 1 0.425 * [backup-simplify]: Simplify (sqrt 1) into 1 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.428 * [backup-simplify]: Simplify 1/2 into 1/2 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.436 * [backup-simplify]: Simplify -1/4 into -1/4 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.445 * [backup-simplify]: Simplify 3/16 into 3/16 0.445 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 0.445 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 0.445 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.445 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.445 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.445 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of (* x x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (* 0 0) into 0 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.448 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.448 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.448 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.448 * [taylor]: Taking taylor expansion of 1 in x 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of 1 in x 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of (* x x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (* 0 0) into 0 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (sqrt 1) into 1 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.452 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.453 * [backup-simplify]: Simplify 1/2 into 1/2 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.461 * [backup-simplify]: Simplify -1/8 into -1/8 0.461 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 0.461 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.461 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.462 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.462 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.462 * [taylor]: Taking taylor expansion of 1 in x 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of 1 in x 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (+ 0 1) into 1 0.464 * [backup-simplify]: Simplify (sqrt 1) into 1 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.467 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.467 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.467 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.468 * [taylor]: Taking taylor expansion of 1 in x 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of 1 in x 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.474 * [backup-simplify]: Simplify 1/2 into 1/2 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.480 * [backup-simplify]: Simplify -1/8 into -1/8 0.480 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 0.481 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.481 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.481 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.481 * [taylor]: Taking taylor expansion of 1 in x 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of 1 in x 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.482 * [backup-simplify]: Simplify (* -1 -1) into 1 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.484 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.484 * [taylor]: Taking taylor expansion of 1 in x 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of 1 in x 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [backup-simplify]: Simplify -1 into -1 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ -1 1) into -1 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [backup-simplify]: Simplify -1 into -1 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ -1 1) into -1 0.485 * [backup-simplify]: Simplify (* -1 -1) into 1 0.486 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.491 * [backup-simplify]: Simplify 1/2 into 1/2 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.498 * [backup-simplify]: Simplify -1/8 into -1/8 0.498 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 0.498 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.498 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.498 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of 1/2 in x 0.498 * [backup-simplify]: Simplify 1/2 into 1/2 0.498 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.498 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.498 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.498 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.498 * [taylor]: Taking taylor expansion of 1 in x 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of 1 in x 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (* x x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (* 0 0) into 0 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.499 * [backup-simplify]: Simplify (sqrt 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of 1/2 in x 0.501 * [backup-simplify]: Simplify 1/2 into 1/2 0.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.502 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.502 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.503 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of 1/2 in x 0.503 * [backup-simplify]: Simplify 1/2 into 1/2 0.503 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.504 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.504 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.504 * [taylor]: Taking taylor expansion of 1 in x 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of 1 in x 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of (* x x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (* 0 0) into 0 0.505 * [backup-simplify]: Simplify (+ 1 0) into 1 0.505 * [backup-simplify]: Simplify (sqrt 1) into 1 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of 1/2 in x 0.508 * [backup-simplify]: Simplify 1/2 into 1/2 0.509 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.509 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.509 * [backup-simplify]: Simplify (sqrt 1) into 1 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.515 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.519 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.519 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.520 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.520 * [backup-simplify]: Simplify -1/8 into -1/8 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.537 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.537 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.539 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.539 * [backup-simplify]: Simplify 11/128 into 11/128 0.540 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 0.540 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.540 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.540 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.540 * [taylor]: Taking taylor expansion of 1 in x 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of 1 in x 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (+ 0 1) into 1 0.546 * [backup-simplify]: Simplify (sqrt 1) into 1 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of 1/2 in x 0.548 * [backup-simplify]: Simplify 1/2 into 1/2 0.548 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.549 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.549 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.549 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.550 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of 1/2 in x 0.550 * [backup-simplify]: Simplify 1/2 into 1/2 0.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.550 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.550 * [taylor]: Taking taylor expansion of 1 in x 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of 1 in x 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (+ 0 1) into 1 0.552 * [backup-simplify]: Simplify (sqrt 1) into 1 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [taylor]: Taking taylor expansion of 1/2 in x 0.554 * [backup-simplify]: Simplify 1/2 into 1/2 0.554 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.554 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.555 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.556 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.556 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.557 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.562 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.564 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 0.564 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.564 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of 1/2 in x 0.564 * [backup-simplify]: Simplify 1/2 into 1/2 0.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.564 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.564 * [taylor]: Taking taylor expansion of 1 in x 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [taylor]: Taking taylor expansion of 1 in x 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ -1 1) into -1 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ -1 1) into -1 0.565 * [backup-simplify]: Simplify (* -1 -1) into 1 0.565 * [backup-simplify]: Simplify (+ 0 1) into 1 0.565 * [backup-simplify]: Simplify (sqrt 1) into 1 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of 1/2 in x 0.568 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.569 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.569 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.569 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.571 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.571 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of 1/2 in x 0.571 * [backup-simplify]: Simplify 1/2 into 1/2 0.571 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.571 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.571 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.571 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.571 * [taylor]: Taking taylor expansion of 1 in x 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of 1 in x 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (/ -1 1) into -1 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ -1 1) into -1 0.573 * [backup-simplify]: Simplify (* -1 -1) into 1 0.574 * [backup-simplify]: Simplify (+ 0 1) into 1 0.574 * [backup-simplify]: Simplify (sqrt 1) into 1 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [taylor]: Taking taylor expansion of 1/2 in x 0.578 * [backup-simplify]: Simplify 1/2 into 1/2 0.578 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.579 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.579 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.580 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.581 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.582 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.583 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.592 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.596 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.596 * * * [progress]: simplifying candidates 0.596 * * * * [progress]: [ 1 / 120 ] simplifiying candidate # 0.596 * * * * [progress]: [ 2 / 120 ] simplifiying candidate # 0.596 * * * * [progress]: [ 3 / 120 ] simplifiying candidate # 0.596 * * * * [progress]: [ 4 / 120 ] simplifiying candidate # 0.596 * * * * [progress]: [ 5 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 6 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 7 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 8 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 9 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 10 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 11 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 12 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 13 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 14 / 120 ] simplifiying candidate # 0.597 * * * * [progress]: [ 15 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 16 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 17 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 18 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 19 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 20 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 21 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 22 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 23 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 24 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 25 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 26 / 120 ] simplifiying candidate # 0.598 * * * * [progress]: [ 27 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 28 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 29 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 30 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 31 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 32 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 33 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 34 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 35 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 36 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 37 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 38 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 39 / 120 ] simplifiying candidate # 0.599 * * * * [progress]: [ 40 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 41 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 42 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 43 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 44 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 45 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 46 / 120 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.600 * * * * [progress]: [ 47 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 48 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 49 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 50 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 51 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 52 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 53 / 120 ] simplifiying candidate # 0.600 * * * * [progress]: [ 54 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 55 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 56 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 57 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 58 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 59 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 60 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 61 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 62 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 63 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 64 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 65 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 66 / 120 ] simplifiying candidate # 0.601 * * * * [progress]: [ 67 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 68 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 69 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 70 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 71 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 72 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 73 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 74 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 75 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 76 / 120 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 0.602 * * * * [progress]: [ 77 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 78 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 79 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 80 / 120 ] simplifiying candidate # 0.602 * * * * [progress]: [ 81 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 82 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 83 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 84 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 85 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 86 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 87 / 120 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2))))> 0.603 * * * * [progress]: [ 88 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 89 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 90 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 91 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 92 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 93 / 120 ] simplifiying candidate # 0.603 * * * * [progress]: [ 94 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 95 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 96 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 97 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 98 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 99 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 100 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 101 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 102 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 103 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 104 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 105 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 106 / 120 ] simplifiying candidate # 0.604 * * * * [progress]: [ 107 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.605 * * * * [progress]: [ 109 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 110 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 111 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 112 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 113 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 114 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 115 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 116 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 117 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 118 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 119 / 120 ] simplifiying candidate # 0.605 * * * * [progress]: [ 120 / 120 ] simplifiying candidate # 0.607 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (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))))))), (fma (- (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)))) (* (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)))))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))), (fma (- (sqrt (cbrt (+ (/ 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 (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)), (fma (sqrt 1) (sqrt 1) (- (* (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))))))), (fma (- (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)))) (* (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)))))), (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))), (fma (- (sqrt (cbrt (+ (/ 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 (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))), (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))), (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))), (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))), (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)), (fma 1 1 (- (* (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))))))), (fma (- (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)))) (* (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)))))), (fma 1 1 (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))), (fma (- (sqrt (cbrt (+ (/ 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 (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))), (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))), (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))), (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))), (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))), (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)), (expm1 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (log1p (- 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))), (/ (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)))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (- (log 1/2) (log (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (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))) (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (- 1/2), (- (hypot 1 x)), (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (cbrt 1/2) (cbrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) 1), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) 1), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1 1), (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1/2 1), (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (hypot 1 x)), (log1p (hypot 1 x)), (+ (* 1 1) (* x 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)), (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (log1p (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))), (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))), (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))), (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)), (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))), (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))), (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))), (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))), (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))), (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))), (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))), (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))), (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.612 * * [simplify]: iteration 1: (212 enodes) 0.774 * * [simplify]: iteration 2: (846 enodes) 1.045 * * [simplify]: Extracting #0: cost 92 inf + 0 1.045 * * [simplify]: Extracting #1: cost 338 inf + 44 1.048 * * [simplify]: Extracting #2: cost 440 inf + 7635 1.054 * * [simplify]: Extracting #3: cost 300 inf + 35890 1.076 * * [simplify]: Extracting #4: cost 73 inf + 84305 1.098 * * [simplify]: Extracting #5: cost 8 inf + 103235 1.125 * * [simplify]: Extracting #6: cost 0 inf + 105624 1.149 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- 1 (* (sqrt (cbrt (+ 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))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- 1 (* (sqrt (cbrt (+ 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))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- 1 (* (sqrt (cbrt (+ 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))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (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))))), (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (log1p (- 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))))), (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (cbrt (- 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 (+ 1/2 (/ 1/2 (hypot 1 x))))))), (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) 1)), (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1), (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1), (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1), (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1), (- 1 (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))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 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))) (cbrt (/ 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))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 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) (sqrt (hypot 1 x))) (cbrt 1/2)), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (* (cbrt 1/2) (cbrt 1/2)), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (sqrt 1/2), (/ (sqrt 1/2) (hypot 1 x)), (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1, (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1/2, (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (hypot 1 x)), (log1p (hypot 1 x)), (fma x x 1), (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)), (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (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))))), (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 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 (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)), (sqrt (fma 1/2 (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))), (sqrt (fma (/ 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))))), (fma 1/8 (* x x) (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) -11/128))), (+ (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))) (- (- 1 (/ 1/4 (* (sqrt 1/2) x))) (sqrt 1/2))), (+ (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))) (+ (/ 1/4 (* (sqrt 1/2) x)) (- 1 (sqrt 1/2)))), (fma (* (* x x) (* x x)) 3/16 (- 1/2 (* (* x x) 1/4))), (+ (/ 3/16 (pow x 5)) (+ (/ 1/2 x) (/ -1/4 (* (* x x) x)))), (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))), (+ (fma 1/2 (* x x) 1) (* (* (* x x) (* x x)) -1/8)), (- (+ (/ 1/2 x) x) (/ 1/8 (* (* x x) x))), (- (/ 1/8 (* (* x x) x)) (+ (/ 1/2 x) x)), (+ (fma (* (* x x) (* x x)) 11/128 1) (* (* x x) -1/8)), (+ (sqrt 1/2) (+ (/ 1/4 (* (sqrt 1/2) x)) (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))), (- (+ (sqrt 1/2) (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (/ 1/4 (* (sqrt 1/2) x))) 1.150 * * * * [progress]: [ 1 / 120 ] simplifiying candidate # 1.150 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (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)))) (* (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)))))))) 1.150 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.150 * * * * [progress]: [ 2 / 120 ] simplifiying candidate # 1.150 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (cbrt (+ (/ 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 (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 1.151 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ (/ 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 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 1.151 * * * * [progress]: [ 3 / 120 ] simplifiying candidate # 1.151 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 1.151 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.151 * * * * [progress]: [ 4 / 120 ] simplifiying candidate # 1.151 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.152 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.152 * * * * [progress]: [ 5 / 120 ] simplifiying candidate # 1.152 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.152 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.152 * * * * [progress]: [ 6 / 120 ] simplifiying candidate # 1.152 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 1.152 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.153 * * * * [progress]: [ 7 / 120 ] simplifiying candidate # 1.153 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 1.153 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.153 * * * * [progress]: [ 8 / 120 ] simplifiying candidate # 1.153 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (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)))) (* (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)))))))) 1.153 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.154 * * * * [progress]: [ 9 / 120 ] simplifiying candidate # 1.154 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (cbrt (+ (/ 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 (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 1.154 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ (/ 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 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 1.154 * * * * [progress]: [ 10 / 120 ] simplifiying candidate # 1.154 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 1.154 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.155 * * * * [progress]: [ 11 / 120 ] simplifiying candidate # 1.155 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.155 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.155 * * * * [progress]: [ 12 / 120 ] simplifiying candidate # 1.155 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.155 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.155 * * * * [progress]: [ 13 / 120 ] simplifiying candidate # 1.156 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 1.156 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.156 * * * * [progress]: [ 14 / 120 ] simplifiying candidate # 1.156 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 1.156 * [simplify]: Simplified (2 2) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.156 * * * * [progress]: [ 15 / 120 ] simplifiying candidate # 1.156 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (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)))) (* (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)))))))) 1.157 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (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))))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.157 * * * * [progress]: [ 16 / 120 ] simplifiying candidate # 1.157 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (- (sqrt (cbrt (+ (/ 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 (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))) 1.157 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (cbrt (+ (/ 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 (/ 1/2 (hypot 1 x))))) (+ (- (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) 1.158 * * * * [progress]: [ 17 / 120 ] simplifiying candidate # 1.158 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 1.158 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.158 * * * * [progress]: [ 18 / 120 ] simplifiying candidate # 1.158 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.158 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.158 * * * * [progress]: [ 19 / 120 ] simplifiying candidate # 1.159 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))))) 1.159 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.159 * * * * [progress]: [ 20 / 120 ] simplifiying candidate # 1.159 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (sqrt (+ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) 1.159 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.159 * * * * [progress]: [ 21 / 120 ] simplifiying candidate # 1.159 * [simplify]: Simplified (2 1) to (λ (x) (+ (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))) 1.160 * [simplify]: Simplified (2 2) to (λ (x) (+ (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.160 * * * * [progress]: [ 22 / 120 ] simplifiying candidate # 1.160 * [simplify]: Simplified (2 1) to (λ (x) (log1p (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.160 * * * * [progress]: [ 23 / 120 ] simplifiying candidate # 1.160 * [simplify]: Simplified (2 1) to (λ (x) (expm1 (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.160 * * * * [progress]: [ 24 / 120 ] simplifiying candidate # 1.160 * [simplify]: Simplified (2 3) to (λ (x) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.160 * * * * [progress]: [ 25 / 120 ] simplifiying candidate # 1.160 * [simplify]: Simplified (2 3) to (λ (x) (fma (sqrt 1) (sqrt 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.160 * * * * [progress]: [ 26 / 120 ] simplifiying candidate # 1.160 * [simplify]: Simplified (2 3) to (λ (x) (fma 1 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.160 * * * * [progress]: [ 27 / 120 ] simplifiying candidate # 1.160 * [simplify]: Simplified (2 1) to (λ (x) (log (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.160 * * * * [progress]: [ 28 / 120 ] simplifiying candidate # 1.160 * * * * [progress]: [ 29 / 120 ] simplifiying candidate # 1.160 * [simplify]: Simplified (2 1) to (λ (x) (exp (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.161 * * * * [progress]: [ 30 / 120 ] simplifiying candidate # 1.161 * [simplify]: Simplified (2 1) to (λ (x) (log (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.161 * * * * [progress]: [ 31 / 120 ] simplifiying candidate # 1.161 * [simplify]: Simplified (2 1) to (λ (x) (* (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.161 * [simplify]: Simplified (2 2) to (λ (x) (* (* (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 (/ 1/2 (hypot 1 x)))))))) 1.161 * * * * [progress]: [ 32 / 120 ] simplifiying candidate # 1.161 * [simplify]: Simplified (2 1) to (λ (x) (cbrt (* (- 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))))))))) 1.161 * * * * [progress]: [ 33 / 120 ] simplifiying candidate # 1.161 * [simplify]: Simplified (2 1) to (λ (x) (* (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.161 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.161 * * * * [progress]: [ 34 / 120 ] simplifiying candidate # 1.161 * [simplify]: Simplified (2 1) to (λ (x) (/ (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (* 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))))))) 1.161 * [simplify]: Simplified (2 2) to (λ (x) (/ (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) 1)))) 1.161 * * * * [progress]: [ 35 / 120 ] simplifiying candidate # 1.161 * [simplify]: Simplified (2 2) to (λ (x) (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.161 * * * * [progress]: [ 36 / 120 ] simplifiying candidate # 1.161 * * * * [progress]: [ 37 / 120 ] simplifiying candidate # 1.162 * [simplify]: Simplified (2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1.162 * [simplify]: Simplified (2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.162 * * * * [progress]: [ 38 / 120 ] simplifiying candidate # 1.162 * [simplify]: Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.162 * [simplify]: Simplified (2 2) to (λ (x) (* (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.162 * * * * [progress]: [ 39 / 120 ] simplifiying candidate # 1.162 * [simplify]: Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.162 * [simplify]: Simplified (2 2) to (λ (x) (* (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.162 * * * * [progress]: [ 40 / 120 ] simplifiying candidate # 1.162 * [simplify]: Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.162 * [simplify]: Simplified (2 2) to (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.162 * * * * [progress]: [ 41 / 120 ] simplifiying candidate # 1.162 * [simplify]: Simplified (2 1) to (λ (x) (* (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.162 * [simplify]: Simplified (2 2) to (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.162 * * * * [progress]: [ 42 / 120 ] simplifiying candidate # 1.162 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.163 * * * * [progress]: [ 43 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2) to (λ (x) (* (sqrt 1) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.163 * * * * [progress]: [ 44 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2) to (λ (x) (* 1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.163 * * * * [progress]: [ 45 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2) to (λ (x) (+ 1 (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.163 * * * * [progress]: [ 46 / 120 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 1.163 * [simplify]: Simplified (2 1) to (λ (x) (posit16->real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.163 * * * * [progress]: [ 47 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (log1p (expm1 (/ 1/2 (hypot 1 x)))) 1/2)))) 1.163 * * * * [progress]: [ 48 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (expm1 (log1p (/ 1/2 (hypot 1 x)))) 1/2)))) 1.163 * * * * [progress]: [ 49 / 120 ] simplifiying candidate # 1.163 * * * * [progress]: [ 50 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (exp (log (/ 1/2 (hypot 1 x)))) 1/2)))) 1.163 * * * * [progress]: [ 51 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (exp (log (/ 1/2 (hypot 1 x)))) 1/2)))) 1.163 * * * * [progress]: [ 52 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2)))) 1.163 * * * * [progress]: [ 53 / 120 ] simplifiying candidate # 1.163 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (cbrt (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 1/2)))) 1.164 * * * * [progress]: [ 54 / 120 ] simplifiying candidate # 1.164 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x)))) 1/2)))) 1.164 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x)))) 1/2)))) 1.164 * * * * [progress]: [ 55 / 120 ] simplifiying candidate # 1.164 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (cbrt (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))) 1/2)))) 1.164 * * * * [progress]: [ 56 / 120 ] simplifiying candidate # 1.164 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 1/2)))) 1.164 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) 1/2)))) 1.164 * * * * [progress]: [ 57 / 120 ] simplifiying candidate # 1.164 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ -1/2 (- (hypot 1 x))) 1/2)))) 1.164 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ -1/2 (- (hypot 1 x))) 1/2)))) 1.164 * * * * [progress]: [ 58 / 120 ] simplifiying candidate # 1.164 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 1.164 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 1.164 * * * * [progress]: [ 59 / 120 ] simplifiying candidate # 1.164 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 1.165 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 1.165 * * * * [progress]: [ 60 / 120 ] simplifiying candidate # 1.165 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2)))) 1.165 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))) 1/2)))) 1.165 * * * * [progress]: [ 61 / 120 ] simplifiying candidate # 1.165 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 1.165 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) 1/2)))) 1.165 * * * * [progress]: [ 62 / 120 ] simplifiying candidate # 1.165 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 1.165 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1/2)))) 1.165 * * * * [progress]: [ 63 / 120 ] simplifiying candidate # 1.165 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 1.165 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))) 1/2)))) 1.165 * * * * [progress]: [ 64 / 120 ] simplifiying candidate # 1.165 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2)))) 1.165 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))) 1/2)))) 1.166 * * * * [progress]: [ 65 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2)))) 1.166 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))) 1/2)))) 1.166 * * * * [progress]: [ 66 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 1.166 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* 1 (/ 1/2 (hypot 1 x))) 1/2)))) 1.166 * * * * [progress]: [ 67 / 120 ] simplifiying candidate # 1.166 * * * * [progress]: [ 68 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) 1.166 * * * * [progress]: [ 69 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1 (/ (hypot 1 x) 1/2)) 1/2)))) 1.166 * * * * [progress]: [ 70 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) 1/2)))) 1.166 * * * * [progress]: [ 71 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) 1/2)))) 1.166 * * * * [progress]: [ 72 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1.166 * * * * [progress]: [ 73 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2))) 1/2)))) 1.166 * * * * [progress]: [ 74 / 120 ] simplifiying candidate # 1.166 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))) 1/2)))) 1.167 * * * * [progress]: [ 75 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1 (/ (hypot 1 x) 1/2)) 1/2)))) 1.167 * * * * [progress]: [ 76 / 120 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 1.167 * [simplify]: Simplified (2 2 1 1 1) to (λ (x) (- 1 (sqrt (+ (posit16->real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))) 1.167 * * * * [progress]: [ 77 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (log1p (expm1 (hypot 1 x)))) 1/2)))) 1.167 * * * * [progress]: [ 78 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (expm1 (log1p (hypot 1 x)))) 1/2)))) 1.167 * * * * [progress]: [ 79 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (sqrt (fma x x 1))) 1/2)))) 1.167 * * * * [progress]: [ 80 / 120 ] simplifiying candidate # 1.167 * * * * [progress]: [ 81 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (exp (log (hypot 1 x)))) 1/2)))) 1.167 * * * * [progress]: [ 82 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (log (exp (hypot 1 x)))) 1/2)))) 1.167 * * * * [progress]: [ 83 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) 1/2)))) 1.167 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) 1/2)))) 1.167 * * * * [progress]: [ 84 / 120 ] simplifiying candidate # 1.167 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) 1/2)))) 1.168 * * * * [progress]: [ 85 / 120 ] simplifiying candidate # 1.168 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) 1/2)))) 1.168 * [simplify]: Simplified (2 2 1 1 2 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) 1/2)))) 1.168 * * * * [progress]: [ 86 / 120 ] simplifiying candidate # 1.168 * * * * [progress]: [ 87 / 120 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))) 1/2))))> 1.168 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (posit16->real (real->posit16 (hypot 1 x)))) 1/2)))) 1.168 * * * * [progress]: [ 88 / 120 ] simplifiying candidate # 1.168 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (log1p (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.168 * * * * [progress]: [ 89 / 120 ] simplifiying candidate # 1.168 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (expm1 (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.168 * * * * [progress]: [ 90 / 120 ] simplifiying candidate # 1.168 * * * * [progress]: [ 91 / 120 ] simplifiying candidate # 1.168 * * * * [progress]: [ 92 / 120 ] simplifiying candidate # 1.168 * * * * [progress]: [ 93 / 120 ] simplifiying candidate # 1.168 * * * * [progress]: [ 94 / 120 ] simplifiying candidate # 1.168 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (exp (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.168 * * * * [progress]: [ 95 / 120 ] simplifiying candidate # 1.168 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (log (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.168 * * * * [progress]: [ 96 / 120 ] simplifiying candidate # 1.168 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.169 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (* (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.169 * * * * [progress]: [ 97 / 120 ] simplifiying candidate # 1.169 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (cbrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.169 * * * * [progress]: [ 98 / 120 ] simplifiying candidate # 1.169 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.169 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (* (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.169 * * * * [progress]: [ 99 / 120 ] simplifiying candidate # 1.169 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.169 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.169 * * * * [progress]: [ 100 / 120 ] simplifiying candidate # 1.169 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1.169 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (* 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.169 * * * * [progress]: [ 101 / 120 ] simplifiying candidate # 1.169 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1.169 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (* 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 1.169 * * * * [progress]: [ 102 / 120 ] simplifiying candidate # 1.169 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (/ (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2))))))) 1.170 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (/ (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (sqrt (fma 1/2 (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))))))) 1.170 * * * * [progress]: [ 103 / 120 ] simplifiying candidate # 1.170 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (/ (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))) 1.170 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (/ (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))) 1.170 * * * * [progress]: [ 104 / 120 ] simplifiying candidate # 1.170 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1/2))) 1.170 * * * * [progress]: [ 105 / 120 ] simplifiying candidate # 1.170 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) 1.170 * [simplify]: Simplified (2 2 2) to (λ (x) (- 1 (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.170 * * * * [progress]: [ 106 / 120 ] simplifiying candidate # 1.170 * * * * [progress]: [ 107 / 120 ] simplifiying candidate # 1.170 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 1.170 * [simplify]: Simplified (2 2 1) to (λ (x) (- 1 (posit16->real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) 1.170 * * * * [progress]: [ 109 / 120 ] simplifiying candidate # 1.170 * [simplify]: Simplified (2) to (λ (x) (fma 1/8 (* x x) (fma 69/1024 (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) -11/128)))) 1.170 * * * * [progress]: [ 110 / 120 ] simplifiying candidate # 1.170 * [simplify]: Simplified (2) to (λ (x) (+ (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))) (- (- 1 (/ 1/4 (* (sqrt 1/2) x))) (sqrt 1/2)))) 1.171 * * * * [progress]: [ 111 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2) to (λ (x) (+ (/ 1/32 (* (* x x) (* 1/2 (sqrt 1/2)))) (+ (/ 1/4 (* (sqrt 1/2) x)) (- 1 (sqrt 1/2))))) 1.171 * * * * [progress]: [ 112 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (fma (* (* x x) (* x x)) 3/16 (- 1/2 (* (* x x) 1/4))) 1/2)))) 1.171 * * * * [progress]: [ 113 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (+ (/ 3/16 (pow x 5)) (+ (/ 1/2 x) (/ -1/4 (* (* x x) x)))) 1/2)))) 1.171 * * * * [progress]: [ 114 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2 1 1) to (λ (x) (- 1 (sqrt (+ (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) 1/2)))) 1.171 * * * * [progress]: [ 115 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (+ (fma 1/2 (* x x) 1) (* (* (* x x) (* x x)) -1/8))) 1/2)))) 1.171 * * * * [progress]: [ 116 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (- (+ (/ 1/2 x) x) (/ 1/8 (* (* x x) x)))) 1/2)))) 1.171 * * * * [progress]: [ 117 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2 1 1 2) to (λ (x) (- 1 (sqrt (+ (/ 1/2 (- (/ 1/8 (* (* x x) x)) (+ (/ 1/2 x) x))) 1/2)))) 1.171 * * * * [progress]: [ 118 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2) to (λ (x) (- 1 (+ (fma (* (* x x) (* x x)) 11/128 1) (* (* x x) -1/8)))) 1.171 * * * * [progress]: [ 119 / 120 ] simplifiying candidate # 1.171 * [simplify]: Simplified (2 2) to (λ (x) (- 1 (+ (sqrt 1/2) (+ (/ 1/4 (* (sqrt 1/2) x)) (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2)))))))) 1.172 * * * * [progress]: [ 120 / 120 ] simplifiying candidate # 1.172 * [simplify]: Simplified (2 2) to (λ (x) (- 1 (- (+ (sqrt 1/2) (/ -1/32 (* (* x x) (* 1/2 (sqrt 1/2))))) (/ 1/4 (* (sqrt 1/2) x))))) 1.172 * * * [progress]: adding candidates to table 2.268 * * [progress]: iteration 2 / 4 2.268 * * * [progress]: picking best candidate 2.282 * * * * [pick]: Picked # 2.282 * * * [progress]: localizing error 2.324 * * * [progress]: generating rewritten candidates 2.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.373 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 2.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 2.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 2.388 * * * [progress]: generating series expansions 2.388 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.388 * [backup-simplify]: Simplify (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2.389 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 2.389 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.389 * [taylor]: Taking taylor expansion of 1/2 in x 2.389 * [backup-simplify]: Simplify 1/2 into 1/2 2.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.389 * [taylor]: Taking taylor expansion of 1/2 in x 2.389 * [backup-simplify]: Simplify 1/2 into 1/2 2.389 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.389 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.389 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.389 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.389 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.389 * [taylor]: Taking taylor expansion of 1 in x 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [taylor]: Taking taylor expansion of 1 in x 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [taylor]: Taking taylor expansion of (* x x) in x 2.389 * [taylor]: Taking taylor expansion of x in x 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [taylor]: Taking taylor expansion of x in x 2.389 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.391 * [backup-simplify]: Simplify (* 0 0) into 0 2.391 * [backup-simplify]: Simplify (+ 1 0) into 1 2.392 * [backup-simplify]: Simplify (sqrt 1) into 1 2.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.393 * [backup-simplify]: Simplify (+ 0 0) into 0 2.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.395 * [backup-simplify]: Simplify (/ 1 1) into 1 2.395 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 2.395 * [taylor]: Taking taylor expansion of 1/2 in x 2.395 * [backup-simplify]: Simplify 1/2 into 1/2 2.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 2.395 * [taylor]: Taking taylor expansion of 1/2 in x 2.395 * [backup-simplify]: Simplify 1/2 into 1/2 2.395 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 2.395 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.395 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.395 * [taylor]: Taking taylor expansion of 1 in x 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of 1 in x 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [taylor]: Taking taylor expansion of (* x x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [taylor]: Taking taylor expansion of x in x 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (* 1 1) into 1 2.396 * [backup-simplify]: Simplify (* 0 0) into 0 2.397 * [backup-simplify]: Simplify (+ 1 0) into 1 2.397 * [backup-simplify]: Simplify (sqrt 1) into 1 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.400 * [backup-simplify]: Simplify (/ 1 1) into 1 2.401 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.401 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.401 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.403 * [backup-simplify]: Simplify (- 0) into 0 2.404 * [backup-simplify]: Simplify (+ 0 0) into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.406 * [backup-simplify]: Simplify (+ 0 1) into 1 2.407 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 2.409 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 2.409 * [backup-simplify]: Simplify (- -1/4) into 1/4 2.410 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.410 * [backup-simplify]: Simplify 1/4 into 1/4 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.412 * [backup-simplify]: Simplify (+ 0 0) into 0 2.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (- 0) into 0 2.417 * [backup-simplify]: Simplify (+ 0 0) into 0 2.417 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.422 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 2.425 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 2.426 * [backup-simplify]: Simplify (- 3/16) into -3/16 2.426 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 2.426 * [backup-simplify]: Simplify -3/16 into -3/16 2.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 2.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 2.436 * [backup-simplify]: Simplify (- 0) into 0 2.436 * [backup-simplify]: Simplify (+ 0 0) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 2.447 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 2.447 * [backup-simplify]: Simplify (- -5/32) into 5/32 2.448 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 2.448 * [backup-simplify]: Simplify 5/32 into 5/32 2.448 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 2.448 * [backup-simplify]: Simplify (- 1 (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2.448 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 2.448 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.448 * [taylor]: Taking taylor expansion of 1/2 in x 2.448 * [backup-simplify]: Simplify 1/2 into 1/2 2.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.448 * [taylor]: Taking taylor expansion of 1/2 in x 2.448 * [backup-simplify]: Simplify 1/2 into 1/2 2.448 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.448 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.448 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.448 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.448 * [taylor]: Taking taylor expansion of 1 in x 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of 1 in x 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (+ 0 1) into 1 2.450 * [backup-simplify]: Simplify (sqrt 1) into 1 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.452 * [backup-simplify]: Simplify (+ 0 0) into 0 2.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 2.452 * [taylor]: Taking taylor expansion of 1/2 in x 2.452 * [backup-simplify]: Simplify 1/2 into 1/2 2.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 2.452 * [taylor]: Taking taylor expansion of 1/2 in x 2.452 * [backup-simplify]: Simplify 1/2 into 1/2 2.452 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 2.452 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.452 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.453 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.453 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.453 * [taylor]: Taking taylor expansion of 1 in x 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [taylor]: Taking taylor expansion of 1 in x 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (/ 1 1) into 1 2.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (/ 1 1) into 1 2.453 * [backup-simplify]: Simplify (* 1 1) into 1 2.454 * [backup-simplify]: Simplify (+ 0 1) into 1 2.454 * [backup-simplify]: Simplify (sqrt 1) into 1 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.456 * [backup-simplify]: Simplify (/ 1 1) into 1 2.456 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.456 * [backup-simplify]: Simplify 1/2 into 1/2 2.457 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.457 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.457 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.457 * [backup-simplify]: Simplify -1/2 into -1/2 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (* 1 1) into 1 2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.461 * [backup-simplify]: Simplify (+ 1 0) into 1 2.461 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 2.463 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 2.463 * [backup-simplify]: Simplify (- -1/4) into 1/4 2.463 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.463 * [backup-simplify]: Simplify 1/4 into 1/4 2.463 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 2.463 * [backup-simplify]: Simplify (- 1 (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2.463 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 2.463 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.464 * [taylor]: Taking taylor expansion of 1/2 in x 2.464 * [backup-simplify]: Simplify 1/2 into 1/2 2.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.464 * [taylor]: Taking taylor expansion of 1/2 in x 2.464 * [backup-simplify]: Simplify 1/2 into 1/2 2.464 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.464 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.464 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.464 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.464 * [taylor]: Taking taylor expansion of 1 in x 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of 1 in x 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.464 * [taylor]: Taking taylor expansion of -1 in x 2.464 * [backup-simplify]: Simplify -1 into -1 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (/ -1 1) into -1 2.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.464 * [taylor]: Taking taylor expansion of -1 in x 2.464 * [backup-simplify]: Simplify -1 into -1 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (/ -1 1) into -1 2.465 * [backup-simplify]: Simplify (* -1 -1) into 1 2.465 * [backup-simplify]: Simplify (+ 0 1) into 1 2.465 * [backup-simplify]: Simplify (sqrt 1) into 1 2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.467 * [backup-simplify]: Simplify (+ 0 0) into 0 2.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.467 * [backup-simplify]: Simplify (/ 1 1) into 1 2.468 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 2.468 * [taylor]: Taking taylor expansion of 1/2 in x 2.468 * [backup-simplify]: Simplify 1/2 into 1/2 2.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 2.468 * [taylor]: Taking taylor expansion of 1/2 in x 2.468 * [backup-simplify]: Simplify 1/2 into 1/2 2.468 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 2.468 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.468 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.468 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.468 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.468 * [taylor]: Taking taylor expansion of 1 in x 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [taylor]: Taking taylor expansion of 1 in x 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.468 * [taylor]: Taking taylor expansion of -1 in x 2.468 * [backup-simplify]: Simplify -1 into -1 2.468 * [taylor]: Taking taylor expansion of x in x 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ -1 1) into -1 2.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.468 * [taylor]: Taking taylor expansion of -1 in x 2.468 * [backup-simplify]: Simplify -1 into -1 2.468 * [taylor]: Taking taylor expansion of x in x 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ -1 1) into -1 2.469 * [backup-simplify]: Simplify (* -1 -1) into 1 2.469 * [backup-simplify]: Simplify (+ 0 1) into 1 2.469 * [backup-simplify]: Simplify (sqrt 1) into 1 2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.471 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.471 * [backup-simplify]: Simplify (/ 1 1) into 1 2.472 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.472 * [backup-simplify]: Simplify 1/2 into 1/2 2.472 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.472 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.473 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.473 * [backup-simplify]: Simplify -1/2 into -1/2 2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.474 * [backup-simplify]: Simplify (- 0) into 0 2.474 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (* 1 1) into 1 2.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.477 * [backup-simplify]: Simplify (+ 1 0) into 1 2.478 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 2.480 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 2.480 * [backup-simplify]: Simplify (- -1/4) into 1/4 2.481 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 2.481 * [backup-simplify]: Simplify 1/4 into 1/4 2.481 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 2.481 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 2.482 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.482 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 2.482 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.482 * [taylor]: Taking taylor expansion of 1/2 in x 2.482 * [backup-simplify]: Simplify 1/2 into 1/2 2.482 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.482 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.482 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.482 * [taylor]: Taking taylor expansion of 1 in x 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [taylor]: Taking taylor expansion of 1 in x 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [taylor]: Taking taylor expansion of (* x x) in x 2.482 * [taylor]: Taking taylor expansion of x in x 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [taylor]: Taking taylor expansion of x in x 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.483 * [backup-simplify]: Simplify (* 1 1) into 1 2.483 * [backup-simplify]: Simplify (* 0 0) into 0 2.483 * [backup-simplify]: Simplify (+ 1 0) into 1 2.484 * [backup-simplify]: Simplify (sqrt 1) into 1 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.485 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.487 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.487 * [taylor]: Taking taylor expansion of 1/2 in x 2.487 * [backup-simplify]: Simplify 1/2 into 1/2 2.487 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.487 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.487 * [taylor]: Taking taylor expansion of 1 in x 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [taylor]: Taking taylor expansion of 1 in x 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [taylor]: Taking taylor expansion of (* x x) in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [taylor]: Taking taylor expansion of x in x 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (* 1 1) into 1 2.488 * [backup-simplify]: Simplify (* 0 0) into 0 2.488 * [backup-simplify]: Simplify (+ 1 0) into 1 2.488 * [backup-simplify]: Simplify (sqrt 1) into 1 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.489 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.490 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.490 * [backup-simplify]: Simplify 1/2 into 1/2 2.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.492 * [backup-simplify]: Simplify (+ 0 1) into 1 2.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.493 * [backup-simplify]: Simplify -1/4 into -1/4 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.495 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.500 * [backup-simplify]: Simplify 3/16 into 3/16 2.500 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 2.500 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.500 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 2.500 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.500 * [taylor]: Taking taylor expansion of 1/2 in x 2.500 * [backup-simplify]: Simplify 1/2 into 1/2 2.500 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.500 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.501 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.501 * [taylor]: Taking taylor expansion of 1 in x 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [taylor]: Taking taylor expansion of 1 in x 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (/ 1 1) into 1 2.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (/ 1 1) into 1 2.506 * [backup-simplify]: Simplify (* 1 1) into 1 2.506 * [backup-simplify]: Simplify (+ 0 1) into 1 2.507 * [backup-simplify]: Simplify (sqrt 1) into 1 2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.509 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.509 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.509 * [taylor]: Taking taylor expansion of 1/2 in x 2.509 * [backup-simplify]: Simplify 1/2 into 1/2 2.509 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.509 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.509 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.509 * [taylor]: Taking taylor expansion of 1 in x 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [taylor]: Taking taylor expansion of 1 in x 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ 1 1) into 1 2.510 * [backup-simplify]: Simplify (* 1 1) into 1 2.510 * [backup-simplify]: Simplify (+ 0 1) into 1 2.511 * [backup-simplify]: Simplify (sqrt 1) into 1 2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.512 * [backup-simplify]: Simplify (+ 0 0) into 0 2.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.513 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.513 * [backup-simplify]: Simplify 1/2 into 1/2 2.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (* 1 1) into 1 2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.515 * [backup-simplify]: Simplify (+ 1 0) into 1 2.516 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.517 * [backup-simplify]: Simplify -1/4 into -1/4 2.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.528 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.532 * [backup-simplify]: Simplify 3/16 into 3/16 2.532 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 2.532 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.532 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 2.532 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.532 * [taylor]: Taking taylor expansion of 1/2 in x 2.532 * [backup-simplify]: Simplify 1/2 into 1/2 2.533 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.533 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.533 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.533 * [taylor]: Taking taylor expansion of 1 in x 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of 1 in x 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.533 * [taylor]: Taking taylor expansion of -1 in x 2.533 * [backup-simplify]: Simplify -1 into -1 2.533 * [taylor]: Taking taylor expansion of x in x 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (/ -1 1) into -1 2.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.533 * [taylor]: Taking taylor expansion of -1 in x 2.533 * [backup-simplify]: Simplify -1 into -1 2.533 * [taylor]: Taking taylor expansion of x in x 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 1 into 1 2.534 * [backup-simplify]: Simplify (/ -1 1) into -1 2.534 * [backup-simplify]: Simplify (* -1 -1) into 1 2.535 * [backup-simplify]: Simplify (+ 0 1) into 1 2.535 * [backup-simplify]: Simplify (sqrt 1) into 1 2.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.537 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.539 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.539 * [taylor]: Taking taylor expansion of 1/2 in x 2.539 * [backup-simplify]: Simplify 1/2 into 1/2 2.539 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.539 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.539 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.539 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.539 * [taylor]: Taking taylor expansion of 1 in x 2.539 * [backup-simplify]: Simplify 1 into 1 2.539 * [taylor]: Taking taylor expansion of 1 in x 2.539 * [backup-simplify]: Simplify 1 into 1 2.539 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.539 * [taylor]: Taking taylor expansion of -1 in x 2.539 * [backup-simplify]: Simplify -1 into -1 2.539 * [taylor]: Taking taylor expansion of x in x 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (/ -1 1) into -1 2.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.540 * [taylor]: Taking taylor expansion of -1 in x 2.540 * [backup-simplify]: Simplify -1 into -1 2.540 * [taylor]: Taking taylor expansion of x in x 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 1 into 1 2.540 * [backup-simplify]: Simplify (/ -1 1) into -1 2.541 * [backup-simplify]: Simplify (* -1 -1) into 1 2.541 * [backup-simplify]: Simplify (+ 0 1) into 1 2.542 * [backup-simplify]: Simplify (sqrt 1) into 1 2.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.544 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.546 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.546 * [backup-simplify]: Simplify 1/2 into 1/2 2.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (* 1 1) into 1 2.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.550 * [backup-simplify]: Simplify (+ 1 0) into 1 2.551 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.552 * [backup-simplify]: Simplify -1/4 into -1/4 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.557 * [backup-simplify]: Simplify (+ 0 0) into 0 2.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.565 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.567 * [backup-simplify]: Simplify 3/16 into 3/16 2.568 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 2.568 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 2.568 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 2.568 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 2.568 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.568 * [taylor]: Taking taylor expansion of 1/2 in x 2.568 * [backup-simplify]: Simplify 1/2 into 1/2 2.568 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.568 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.568 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.568 * [taylor]: Taking taylor expansion of 1 in x 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of 1 in x 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of (* x x) in x 2.568 * [taylor]: Taking taylor expansion of x in x 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of x in x 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (* 1 1) into 1 2.569 * [backup-simplify]: Simplify (* 0 0) into 0 2.569 * [backup-simplify]: Simplify (+ 1 0) into 1 2.570 * [backup-simplify]: Simplify (sqrt 1) into 1 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.571 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.572 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.573 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.573 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 2.573 * [taylor]: Taking taylor expansion of 1/2 in x 2.573 * [backup-simplify]: Simplify 1/2 into 1/2 2.573 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.573 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.573 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.573 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.573 * [taylor]: Taking taylor expansion of 1 in x 2.573 * [backup-simplify]: Simplify 1 into 1 2.573 * [taylor]: Taking taylor expansion of 1 in x 2.573 * [backup-simplify]: Simplify 1 into 1 2.573 * [taylor]: Taking taylor expansion of (* x x) in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 1 into 1 2.573 * [taylor]: Taking taylor expansion of x in x 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 1 into 1 2.574 * [backup-simplify]: Simplify (* 1 1) into 1 2.574 * [backup-simplify]: Simplify (* 0 0) into 0 2.575 * [backup-simplify]: Simplify (+ 1 0) into 1 2.575 * [backup-simplify]: Simplify (sqrt 1) into 1 2.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.576 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.577 * [backup-simplify]: Simplify (+ 0 0) into 0 2.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.581 * [backup-simplify]: Simplify (+ 0 1) into 1 2.582 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.584 * [backup-simplify]: Simplify -1/4 into -1/4 2.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.586 * [backup-simplify]: Simplify (+ 0 0) into 0 2.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.593 * [backup-simplify]: Simplify 3/16 into 3/16 2.594 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 2.594 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 2.594 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 2.594 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.594 * [taylor]: Taking taylor expansion of 1/2 in x 2.594 * [backup-simplify]: Simplify 1/2 into 1/2 2.594 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.594 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.594 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.594 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.594 * [taylor]: Taking taylor expansion of 1 in x 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [taylor]: Taking taylor expansion of 1 in x 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (/ 1 1) into 1 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (/ 1 1) into 1 2.595 * [backup-simplify]: Simplify (* 1 1) into 1 2.595 * [backup-simplify]: Simplify (+ 0 1) into 1 2.595 * [backup-simplify]: Simplify (sqrt 1) into 1 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.597 * [backup-simplify]: Simplify (+ 0 0) into 0 2.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.597 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.597 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 2.597 * [taylor]: Taking taylor expansion of 1/2 in x 2.597 * [backup-simplify]: Simplify 1/2 into 1/2 2.597 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.598 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.598 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.598 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.598 * [taylor]: Taking taylor expansion of 1 in x 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [taylor]: Taking taylor expansion of 1 in x 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.598 * [taylor]: Taking taylor expansion of x in x 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.598 * [taylor]: Taking taylor expansion of x in x 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [backup-simplify]: Simplify (* 1 1) into 1 2.599 * [backup-simplify]: Simplify (+ 0 1) into 1 2.599 * [backup-simplify]: Simplify (sqrt 1) into 1 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.601 * [backup-simplify]: Simplify 1/2 into 1/2 2.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.604 * [backup-simplify]: Simplify (+ 1 0) into 1 2.605 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.605 * [backup-simplify]: Simplify -1/4 into -1/4 2.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (+ 0 0) into 0 2.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.612 * [backup-simplify]: Simplify (+ 0 0) into 0 2.612 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.613 * [backup-simplify]: Simplify 3/16 into 3/16 2.614 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 2.614 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 2.614 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.614 * [taylor]: Taking taylor expansion of 1/2 in x 2.614 * [backup-simplify]: Simplify 1/2 into 1/2 2.614 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.614 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.614 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.614 * [taylor]: Taking taylor expansion of 1 in x 2.614 * [backup-simplify]: Simplify 1 into 1 2.614 * [taylor]: Taking taylor expansion of 1 in x 2.614 * [backup-simplify]: Simplify 1 into 1 2.614 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [backup-simplify]: Simplify -1 into -1 2.614 * [taylor]: Taking taylor expansion of x in x 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.614 * [backup-simplify]: Simplify (/ -1 1) into -1 2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [backup-simplify]: Simplify -1 into -1 2.615 * [taylor]: Taking taylor expansion of x in x 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (/ -1 1) into -1 2.615 * [backup-simplify]: Simplify (* -1 -1) into 1 2.615 * [backup-simplify]: Simplify (+ 0 1) into 1 2.616 * [backup-simplify]: Simplify (sqrt 1) into 1 2.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.618 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 2.618 * [taylor]: Taking taylor expansion of 1/2 in x 2.618 * [backup-simplify]: Simplify 1/2 into 1/2 2.618 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.618 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.618 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.618 * [taylor]: Taking taylor expansion of 1 in x 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of 1 in x 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.618 * [taylor]: Taking taylor expansion of -1 in x 2.618 * [backup-simplify]: Simplify -1 into -1 2.618 * [taylor]: Taking taylor expansion of x in x 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ -1 1) into -1 2.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.619 * [taylor]: Taking taylor expansion of -1 in x 2.619 * [backup-simplify]: Simplify -1 into -1 2.619 * [taylor]: Taking taylor expansion of x in x 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ -1 1) into -1 2.619 * [backup-simplify]: Simplify (* -1 -1) into 1 2.619 * [backup-simplify]: Simplify (+ 0 1) into 1 2.620 * [backup-simplify]: Simplify (sqrt 1) into 1 2.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.621 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.621 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.622 * [backup-simplify]: Simplify 1/2 into 1/2 2.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (* 1 1) into 1 2.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.632 * [backup-simplify]: Simplify (+ 1 0) into 1 2.633 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 2.634 * [backup-simplify]: Simplify -1/4 into -1/4 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.639 * [backup-simplify]: Simplify (+ 0 0) into 0 2.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.647 * [backup-simplify]: Simplify (+ 0 0) into 0 2.649 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 2.651 * [backup-simplify]: Simplify 3/16 into 3/16 2.651 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 2.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 2.652 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 2.652 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 2.652 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.652 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.652 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.652 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.652 * [taylor]: Taking taylor expansion of 1 in x 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [taylor]: Taking taylor expansion of 1 in x 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [taylor]: Taking taylor expansion of (* x x) in x 2.652 * [taylor]: Taking taylor expansion of x in x 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [taylor]: Taking taylor expansion of x in x 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (* 0 0) into 0 2.653 * [backup-simplify]: Simplify (+ 1 0) into 1 2.654 * [backup-simplify]: Simplify (sqrt 1) into 1 2.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.655 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.656 * [backup-simplify]: Simplify (+ 0 0) into 0 2.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.656 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 2.657 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 2.657 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 2.657 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.657 * [taylor]: Taking taylor expansion of 1 in x 2.657 * [backup-simplify]: Simplify 1 into 1 2.657 * [taylor]: Taking taylor expansion of 1 in x 2.657 * [backup-simplify]: Simplify 1 into 1 2.657 * [taylor]: Taking taylor expansion of (* x x) in x 2.657 * [taylor]: Taking taylor expansion of x in x 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 1 into 1 2.657 * [taylor]: Taking taylor expansion of x in x 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 1 into 1 2.657 * [backup-simplify]: Simplify (* 1 1) into 1 2.658 * [backup-simplify]: Simplify (* 0 0) into 0 2.658 * [backup-simplify]: Simplify (+ 1 0) into 1 2.659 * [backup-simplify]: Simplify (sqrt 1) into 1 2.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.660 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.663 * [backup-simplify]: Simplify (+ 0 1) into 1 2.664 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.664 * [backup-simplify]: Simplify 1/2 into 1/2 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.671 * [backup-simplify]: Simplify (+ 0 0) into 0 2.673 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.673 * [backup-simplify]: Simplify -1/8 into -1/8 2.673 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 2.673 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 2.673 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 2.673 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.673 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.674 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.674 * [taylor]: Taking taylor expansion of 1 in x 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [taylor]: Taking taylor expansion of 1 in x 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [backup-simplify]: Simplify (* 1 1) into 1 2.676 * [backup-simplify]: Simplify (+ 0 1) into 1 2.676 * [backup-simplify]: Simplify (sqrt 1) into 1 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.680 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 2.680 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 2.680 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 2.680 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.680 * [taylor]: Taking taylor expansion of 1 in x 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of 1 in x 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ 1 1) into 1 2.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.681 * [taylor]: Taking taylor expansion of x in x 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (/ 1 1) into 1 2.681 * [backup-simplify]: Simplify (* 1 1) into 1 2.682 * [backup-simplify]: Simplify (+ 0 1) into 1 2.682 * [backup-simplify]: Simplify (sqrt 1) into 1 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.685 * [backup-simplify]: Simplify (+ 0 0) into 0 2.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (* 1 1) into 1 2.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.690 * [backup-simplify]: Simplify (+ 1 0) into 1 2.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.691 * [backup-simplify]: Simplify 1/2 into 1/2 2.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.701 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.701 * [backup-simplify]: Simplify -1/8 into -1/8 2.702 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 2.702 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 2.702 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 2.702 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.702 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.702 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.702 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.702 * [taylor]: Taking taylor expansion of 1 in x 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [taylor]: Taking taylor expansion of 1 in x 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.702 * [taylor]: Taking taylor expansion of -1 in x 2.702 * [backup-simplify]: Simplify -1 into -1 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (/ -1 1) into -1 2.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [backup-simplify]: Simplify -1 into -1 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (/ -1 1) into -1 2.704 * [backup-simplify]: Simplify (* -1 -1) into 1 2.704 * [backup-simplify]: Simplify (+ 0 1) into 1 2.704 * [backup-simplify]: Simplify (sqrt 1) into 1 2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.707 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 2.708 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 2.708 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 2.708 * [taylor]: Taking taylor expansion of (* 1 1) in x 2.708 * [taylor]: Taking taylor expansion of 1 in x 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [taylor]: Taking taylor expansion of 1 in x 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.708 * [taylor]: Taking taylor expansion of -1 in x 2.708 * [backup-simplify]: Simplify -1 into -1 2.708 * [taylor]: Taking taylor expansion of x in x 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (/ -1 1) into -1 2.708 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.708 * [taylor]: Taking taylor expansion of -1 in x 2.708 * [backup-simplify]: Simplify -1 into -1 2.708 * [taylor]: Taking taylor expansion of x in x 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (/ -1 1) into -1 2.709 * [backup-simplify]: Simplify (* -1 -1) into 1 2.710 * [backup-simplify]: Simplify (+ 0 1) into 1 2.710 * [backup-simplify]: Simplify (sqrt 1) into 1 2.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (* 1 1) into 1 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.717 * [backup-simplify]: Simplify (+ 1 0) into 1 2.718 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 2.718 * [backup-simplify]: Simplify 1/2 into 1/2 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.721 * [backup-simplify]: Simplify (+ 0 0) into 0 2.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 2.725 * [backup-simplify]: Simplify -1/8 into -1/8 2.725 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 2.725 * * * [progress]: simplifying candidates 2.725 * * * * [progress]: [ 1 / 119 ] simplifiying candidate # 2.725 * * * * [progress]: [ 2 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 3 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 4 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 5 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 6 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 7 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 8 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 9 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 10 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 11 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 12 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 13 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 14 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 15 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 16 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 17 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 18 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 19 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 20 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 21 / 119 ] simplifiying candidate # 2.726 * * * * [progress]: [ 22 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 23 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 24 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 25 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 26 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 27 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 28 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 29 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 30 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 31 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 32 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 33 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 34 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 35 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 36 / 119 ] simplifiying candidate #real (real->posit16 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 2.727 * * * * [progress]: [ 37 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 38 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 39 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 40 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 41 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 42 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 43 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 44 / 119 ] simplifiying candidate # 2.727 * * * * [progress]: [ 45 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 46 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 47 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 48 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 49 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 50 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 51 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 52 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 53 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 54 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 55 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 56 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 57 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 58 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 59 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 60 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 61 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 62 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 63 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 64 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 65 / 119 ] simplifiying candidate # 2.728 * * * * [progress]: [ 66 / 119 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 2.728 * * * * [progress]: [ 67 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 68 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 69 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 70 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 71 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 72 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 73 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 74 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 75 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 76 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 77 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 78 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 79 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 80 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 81 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 82 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 83 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 84 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 85 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 86 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 87 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 88 / 119 ] simplifiying candidate # 2.729 * * * * [progress]: [ 89 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 90 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 91 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 92 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 93 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 94 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 95 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 96 / 119 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 2.730 * * * * [progress]: [ 97 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 98 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 99 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 100 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 101 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 102 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 103 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 104 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 105 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 106 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 107 / 119 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))))))))> 2.730 * * * * [progress]: [ 108 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 109 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 110 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 111 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 112 / 119 ] simplifiying candidate # 2.730 * * * * [progress]: [ 113 / 119 ] simplifiying candidate # 2.731 * * * * [progress]: [ 114 / 119 ] simplifiying candidate # 2.731 * * * * [progress]: [ 115 / 119 ] simplifiying candidate # 2.731 * * * * [progress]: [ 116 / 119 ] simplifiying candidate # 2.731 * * * * [progress]: [ 117 / 119 ] simplifiying candidate # 2.731 * * * * [progress]: [ 118 / 119 ] simplifiying candidate # 2.731 * * * * [progress]: [ 119 / 119 ] simplifiying candidate # 2.732 * [simplify]: Simplifying (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))), (fma (- (cbrt (+ 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)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (fma (- (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)))))), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))), (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1)), (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))), (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1)), (fma (sqrt 1) (sqrt 1) (- (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))), (fma (- (cbrt (+ 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)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (fma (- (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)))))), (fma (sqrt 1) (sqrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))), (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1)), (fma (sqrt 1) (sqrt 1) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))), (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1)), (fma 1 1 (- (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))), (fma (- (cbrt (+ 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)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (fma (- (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)))))), (fma 1 1 (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))), (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1)), (fma 1 1 (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))), (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1)), (expm1 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (log1p (- 1 (+ 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)))), (/ (exp 1) (* (exp 1/2) (exp (/ 1/2 (hypot 1 x))))), (/ (exp 1) (exp (+ 1/2 (/ 1/2 (hypot 1 x))))), (log (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (exp (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))), (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (* (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (sqrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (sqrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (- (pow 1 3) (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 3)), (+ (* 1 1) (+ (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- (+ 1/2 (/ 1/2 (hypot 1 x)))), (- (* 1 1) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))), (+ 1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (+ (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- (sqrt 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 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1 1/2), (- (+ 1/2 (/ 1/2 (hypot 1 x)))), (real->posit16 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (- (log 1/2) (log (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (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))) (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (- 1/2), (- (hypot 1 x)), (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (cbrt 1/2) (cbrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) 1), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) 1), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1 1), (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1/2 1), (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (- (log 1/2) (log (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (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))) (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (- 1/2), (- (hypot 1 x)), (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (cbrt 1/2) (cbrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) 1), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) 1), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1 1), (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1/2 1), (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (hypot 1 x)), (log1p (hypot 1 x)), (+ (* 1 1) (* x 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)), (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))), (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))), (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))), (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))), (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))), (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))), (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))), (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))), (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))), (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))), (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))), (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 2.733 * * [simplify]: iteration 1: (161 enodes) 2.849 * * [simplify]: iteration 2: (634 enodes) 3.027 * * [simplify]: Extracting #0: cost 72 inf + 0 3.028 * * [simplify]: Extracting #1: cost 265 inf + 3 3.030 * * [simplify]: Extracting #2: cost 350 inf + 8953 3.043 * * [simplify]: Extracting #3: cost 134 inf + 48373 3.066 * * [simplify]: Extracting #4: cost 32 inf + 68179 3.079 * * [simplify]: Extracting #5: cost 17 inf + 71424 3.094 * * [simplify]: Extracting #6: cost 3 inf + 76149 3.109 * * [simplify]: Extracting #7: cost 0 inf + 77271 3.124 * [simplify]: Simplified to (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))), (log1p (- 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))), (exp (- 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 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))), (+ (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1), (+ -1/2 (/ -1/2 (hypot 1 x))), (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))), (+ (/ 1/2 (hypot 1 x)) 3/2), (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (+ (sqrt (+ 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))), 1/2, (+ -1/2 (/ -1/2 (hypot 1 x))), (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (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))) (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 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) (/ (sqrt (hypot 1 x)) (cbrt 1/2))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (* (cbrt 1/2) (cbrt 1/2)), (/ (cbrt 1/2) (hypot 1 x)), (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (sqrt 1/2), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1, (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1/2, (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (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))) (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 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) (/ (sqrt (hypot 1 x)) (cbrt 1/2))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (* (cbrt 1/2) (cbrt 1/2)), (/ (cbrt 1/2) (hypot 1 x)), (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (sqrt 1/2), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1, (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1/2, (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (hypot 1 x)), (log1p (hypot 1 x)), (fma x x 1), (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)), (fma (* x x) 1/4 (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (* -3/16 (* (* x x) (* x x))))), (+ (/ 1/4 (* (* x x) x)) (- 1/2 (/ 1/2 x))), (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* (* x x) x))), (- (fma (* (* x x) (* x x)) 3/16 1/2) (* 1/4 (* x x))), (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))), (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))), (- (fma (* (* x x) (* x x)) 3/16 1/2) (* 1/4 (* x x))), (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))), (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))), (- (fma 1/2 (* x x) 1) (* (* (* x x) (* x x)) 1/8)), (+ (/ 1/2 x) (- x (/ 1/8 (* (* x x) x)))), (- (/ 1/8 (* (* x x) x)) (+ x (/ 1/2 x))) 3.124 * * * * [progress]: [ 1 / 119 ] simplifiying candidate # 3.124 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (cbrt (+ 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)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.124 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.124 * * * * [progress]: [ 2 / 119 ] simplifiying candidate # 3.125 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (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))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.125 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.125 * * * * [progress]: [ 3 / 119 ] simplifiying candidate # 3.125 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.125 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.125 * * * * [progress]: [ 4 / 119 ] simplifiying candidate # 3.125 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.125 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.125 * * * * [progress]: [ 5 / 119 ] simplifiying candidate # 3.125 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (cbrt (+ 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)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.125 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * * * * [progress]: [ 6 / 119 ] simplifiying candidate # 3.126 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (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))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * * * * [progress]: [ 7 / 119 ] simplifiying candidate # 3.126 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * * * * [progress]: [ 8 / 119 ] simplifiying candidate # 3.126 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * * * * [progress]: [ 9 / 119 ] simplifiying candidate # 3.126 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (cbrt (+ 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)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.126 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * * * * [progress]: [ 10 / 119 ] simplifiying candidate # 3.127 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (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))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * * * * [progress]: [ 11 / 119 ] simplifiying candidate # 3.127 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * * * * [progress]: [ 12 / 119 ] simplifiying candidate # 3.127 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) -1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * * * * [progress]: [ 13 / 119 ] simplifiying candidate # 3.127 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log1p (expm1 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.127 * * * * [progress]: [ 14 / 119 ] simplifiying candidate # 3.127 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 15 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 3) to (λ (x) (/ (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (+ -1/2 (/ -1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 16 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 3) to (λ (x) (/ (fma (sqrt 1) (sqrt 1) (+ -1/2 (/ -1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 17 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 3) to (λ (x) (/ (fma 1 1 (+ -1/2 (/ -1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 18 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 19 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 20 / 119 ] simplifiying candidate # 3.128 * * * * [progress]: [ 21 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (exp (log (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 22 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.128 * * * * [progress]: [ 23 / 119 ] simplifiying candidate # 3.128 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.129 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.129 * * * * [progress]: [ 24 / 119 ] simplifiying candidate # 3.129 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (cbrt (* (* (- 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))))))) 3.129 * * * * [progress]: [ 25 / 119 ] simplifiying candidate # 3.129 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.129 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (- 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.129 * * * * [progress]: [ 26 / 119 ] simplifiying candidate # 3.129 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (/ (- 1 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (* 1 1) (+ (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* 1 (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.129 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (/ (- 1 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.129 * * * * [progress]: [ 27 / 119 ] simplifiying candidate # 3.129 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ 1 (+ -1/2 (/ -1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.129 * * * * [progress]: [ 28 / 119 ] simplifiying candidate # 3.129 * * * * [progress]: [ 29 / 119 ] simplifiying candidate # 3.129 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (/ (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (/ (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (/ 1/2 (hypot 1 x)) 3/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * * * * [progress]: [ 30 / 119 ] simplifiying candidate # 3.130 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* (+ (sqrt 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))))))) 3.130 * * * * [progress]: [ 31 / 119 ] simplifiying candidate # 3.130 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * [simplify]: Simplified (2 1 2) to (λ (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))))))) 3.130 * * * * [progress]: [ 32 / 119 ] simplifiying candidate # 3.130 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * * * * [progress]: [ 33 / 119 ] simplifiying candidate # 3.130 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * * * * [progress]: [ 34 / 119 ] simplifiying candidate # 3.130 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * * * * [progress]: [ 35 / 119 ] simplifiying candidate # 3.130 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ 1 (+ -1/2 (/ -1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.130 * * * * [progress]: [ 36 / 119 ] simplifiying candidate #real (real->posit16 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 3.130 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (posit16->real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.131 * * * * [progress]: [ 37 / 119 ] simplifiying candidate # 3.131 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (log1p (expm1 (/ 1/2 (hypot 1 x))))))))) 3.131 * * * * [progress]: [ 38 / 119 ] simplifiying candidate # 3.131 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (expm1 (log1p (/ 1/2 (hypot 1 x))))))))) 3.131 * * * * [progress]: [ 39 / 119 ] simplifiying candidate # 3.131 * * * * [progress]: [ 40 / 119 ] simplifiying candidate # 3.131 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (exp (log (/ 1/2 (hypot 1 x))))))))) 3.131 * * * * [progress]: [ 41 / 119 ] simplifiying candidate # 3.131 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (exp (log (/ 1/2 (hypot 1 x))))))))) 3.131 * * * * [progress]: [ 42 / 119 ] simplifiying candidate # 3.131 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (log (exp (/ 1/2 (hypot 1 x))))))))) 3.131 * * * * [progress]: [ 43 / 119 ] simplifiying candidate # 3.131 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))))))) 3.131 * * * * [progress]: [ 44 / 119 ] simplifiying candidate # 3.131 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))))))))) 3.132 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))))))))) 3.132 * * * * [progress]: [ 45 / 119 ] simplifiying candidate # 3.132 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (cbrt (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))))))))) 3.132 * * * * [progress]: [ 46 / 119 ] simplifiying candidate # 3.132 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))))) 3.132 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))))) 3.132 * * * * [progress]: [ 47 / 119 ] simplifiying candidate # 3.132 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ -1/2 (- (hypot 1 x)))))))) 3.132 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ -1/2 (- (hypot 1 x)))))))) 3.132 * * * * [progress]: [ 48 / 119 ] simplifiying candidate # 3.132 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))))) 3.132 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))))) 3.132 * * * * [progress]: [ 49 / 119 ] simplifiying candidate # 3.133 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))))) 3.133 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))))) 3.133 * * * * [progress]: [ 50 / 119 ] simplifiying candidate # 3.133 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)))))))) 3.133 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)))))))) 3.133 * * * * [progress]: [ 51 / 119 ] simplifiying candidate # 3.133 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))))))) 3.133 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))))))) 3.133 * * * * [progress]: [ 52 / 119 ] simplifiying candidate # 3.133 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))))))) 3.133 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))))))) 3.134 * * * * [progress]: [ 53 / 119 ] simplifiying candidate # 3.134 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)))))))) 3.134 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)))))))) 3.134 * * * * [progress]: [ 54 / 119 ] simplifiying candidate # 3.134 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))))))))) 3.134 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))))))))) 3.134 * * * * [progress]: [ 55 / 119 ] simplifiying candidate # 3.134 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))))))) 3.134 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))))))) 3.135 * * * * [progress]: [ 56 / 119 ] simplifiying candidate # 3.135 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* 1 (/ 1/2 (hypot 1 x)))))))) 3.135 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* 1 (/ 1/2 (hypot 1 x)))))))) 3.135 * * * * [progress]: [ 57 / 119 ] simplifiying candidate # 3.135 * * * * [progress]: [ 58 / 119 ] simplifiying candidate # 3.135 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (* 1/2 (/ 1 (hypot 1 x)))))))) 3.135 * * * * [progress]: [ 59 / 119 ] simplifiying candidate # 3.135 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1 (/ (hypot 1 x) 1/2))))))) 3.135 * * * * [progress]: [ 60 / 119 ] simplifiying candidate # 3.135 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))))))) 3.135 * * * * [progress]: [ 61 / 119 ] simplifiying candidate # 3.135 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 3.136 * * * * [progress]: [ 62 / 119 ] simplifiying candidate # 3.136 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.136 * * * * [progress]: [ 63 / 119 ] simplifiying candidate # 3.136 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2)))))))) 3.136 * * * * [progress]: [ 64 / 119 ] simplifiying candidate # 3.136 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2)))))))) 3.136 * * * * [progress]: [ 65 / 119 ] simplifiying candidate # 3.136 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1 (/ (hypot 1 x) 1/2))))))) 3.136 * * * * [progress]: [ 66 / 119 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 3.136 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (posit16->real (real->posit16 (/ 1/2 (hypot 1 x))))))))) 3.136 * * * * [progress]: [ 67 / 119 ] simplifiying candidate # 3.136 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (log1p (expm1 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.136 * * * * [progress]: [ 68 / 119 ] simplifiying candidate # 3.136 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (expm1 (log1p (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.136 * * * * [progress]: [ 69 / 119 ] simplifiying candidate # 3.138 * * * * [progress]: [ 70 / 119 ] simplifiying candidate # 3.138 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (exp (log (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.138 * * * * [progress]: [ 71 / 119 ] simplifiying candidate # 3.138 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (exp (log (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.138 * * * * [progress]: [ 72 / 119 ] simplifiying candidate # 3.138 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (log (exp (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.138 * * * * [progress]: [ 73 / 119 ] simplifiying candidate # 3.138 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.138 * * * * [progress]: [ 74 / 119 ] simplifiying candidate # 3.139 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * * * * [progress]: [ 75 / 119 ] simplifiying candidate # 3.139 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (cbrt (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * * * * [progress]: [ 76 / 119 ] simplifiying candidate # 3.139 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * * * * [progress]: [ 77 / 119 ] simplifiying candidate # 3.139 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ -1/2 (- (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ -1/2 (- (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * * * * [progress]: [ 78 / 119 ] simplifiying candidate # 3.139 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.139 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.140 * * * * [progress]: [ 79 / 119 ] simplifiying candidate # 3.140 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.140 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.140 * * * * [progress]: [ 80 / 119 ] simplifiying candidate # 3.140 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.140 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.140 * * * * [progress]: [ 81 / 119 ] simplifiying candidate # 3.140 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.140 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.140 * * * * [progress]: [ 82 / 119 ] simplifiying candidate # 3.140 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.141 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.141 * * * * [progress]: [ 83 / 119 ] simplifiying candidate # 3.141 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.141 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.141 * * * * [progress]: [ 84 / 119 ] simplifiying candidate # 3.141 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.141 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.141 * * * * [progress]: [ 85 / 119 ] simplifiying candidate # 3.141 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.141 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.142 * * * * [progress]: [ 86 / 119 ] simplifiying candidate # 3.142 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (* 1 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.142 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* 1 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.142 * * * * [progress]: [ 87 / 119 ] simplifiying candidate # 3.142 * * * * [progress]: [ 88 / 119 ] simplifiying candidate # 3.142 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (* 1/2 (/ 1 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.142 * * * * [progress]: [ 89 / 119 ] simplifiying candidate # 3.142 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1 (/ (hypot 1 x) 1/2)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.142 * * * * [progress]: [ 90 / 119 ] simplifiying candidate # 3.142 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.143 * * * * [progress]: [ 91 / 119 ] simplifiying candidate # 3.143 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.143 * * * * [progress]: [ 92 / 119 ] simplifiying candidate # 3.143 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.143 * * * * [progress]: [ 93 / 119 ] simplifiying candidate # 3.143 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.143 * * * * [progress]: [ 94 / 119 ] simplifiying candidate # 3.143 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.143 * * * * [progress]: [ 95 / 119 ] simplifiying candidate # 3.143 * [simplify]: Simplified (2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1 (/ (hypot 1 x) 1/2)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.143 * * * * [progress]: [ 96 / 119 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 3.143 * [simplify]: Simplified (2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (posit16->real (real->posit16 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.143 * * * * [progress]: [ 97 / 119 ] simplifiying candidate # 3.143 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (log1p (expm1 (hypot 1 x))))))))) 3.144 * * * * [progress]: [ 98 / 119 ] simplifiying candidate # 3.144 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (expm1 (log1p (hypot 1 x))))))))) 3.144 * * * * [progress]: [ 99 / 119 ] simplifiying candidate # 3.144 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (fma x x 1)))))))) 3.144 * * * * [progress]: [ 100 / 119 ] simplifiying candidate # 3.144 * * * * [progress]: [ 101 / 119 ] simplifiying candidate # 3.144 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (exp (log (hypot 1 x))))))))) 3.144 * * * * [progress]: [ 102 / 119 ] simplifiying candidate # 3.144 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (log (exp (hypot 1 x))))))))) 3.144 * * * * [progress]: [ 103 / 119 ] simplifiying candidate # 3.144 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))))))) 3.144 * [simplify]: Simplified (2 2 2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))))))) 3.144 * * * * [progress]: [ 104 / 119 ] simplifiying candidate # 3.144 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))))))) 3.145 * * * * [progress]: [ 105 / 119 ] simplifiying candidate # 3.145 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))))))) 3.145 * [simplify]: Simplified (2 2 2 1 2 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))))))) 3.145 * * * * [progress]: [ 106 / 119 ] simplifiying candidate # 3.145 * * * * [progress]: [ 107 / 119 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))))))))> 3.145 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (posit16->real (real->posit16 (hypot 1 x))))))))) 3.145 * * * * [progress]: [ 108 / 119 ] simplifiying candidate # 3.145 * [simplify]: Simplified (2 1) to (λ (x) (/ (fma (* x x) 1/4 (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (* -3/16 (* (* x x) (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.145 * * * * [progress]: [ 109 / 119 ] simplifiying candidate # 3.145 * [simplify]: Simplified (2 1) to (λ (x) (/ (+ (/ 1/4 (* (* x x) x)) (- 1/2 (/ 1/2 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.145 * * * * [progress]: [ 110 / 119 ] simplifiying candidate # 3.145 * [simplify]: Simplified (2 1) to (λ (x) (/ (- (+ 1/2 (/ 1/2 x)) (/ 1/4 (* (* x x) x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.145 * * * * [progress]: [ 111 / 119 ] simplifiying candidate # 3.145 * [simplify]: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (- (fma (* (* x x) (* x x)) 3/16 1/2) (* 1/4 (* x x)))))))) 3.145 * * * * [progress]: [ 112 / 119 ] simplifiying candidate # 3.145 * [simplify]: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x))))))))) 3.146 * * * * [progress]: [ 113 / 119 ] simplifiying candidate # 3.146 * [simplify]: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5)))))))) 3.146 * * * * [progress]: [ 114 / 119 ] simplifiying candidate # 3.146 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (- (fma (* (* x x) (* x x)) 3/16 1/2) (* 1/4 (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.146 * * * * [progress]: [ 115 / 119 ] simplifiying candidate # 3.146 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.146 * * * * [progress]: [ 116 / 119 ] simplifiying candidate # 3.146 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 3.146 * * * * [progress]: [ 117 / 119 ] simplifiying candidate # 3.146 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (- (fma 1/2 (* x x) 1) (* (* (* x x) (* x x)) 1/8)))))))) 3.146 * * * * [progress]: [ 118 / 119 ] simplifiying candidate # 3.146 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (+ (/ 1/2 x) (- x (/ 1/8 (* (* x x) x)))))))))) 3.147 * * * * [progress]: [ 119 / 119 ] simplifiying candidate # 3.147 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (- (/ 1/8 (* (* x x) x)) (+ x (/ 1/2 x))))))))) 3.147 * * * [progress]: adding candidates to table 4.222 * * [progress]: iteration 3 / 4 4.222 * * * [progress]: picking best candidate 4.227 * * * * [pick]: Picked # 4.227 * * * [progress]: localizing error 4.247 * * * [progress]: generating rewritten candidates 4.248 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 4.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.269 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 4.271 * * * [progress]: generating series expansions 4.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.271 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 4.271 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 4.271 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.271 * [taylor]: Taking taylor expansion of 1/2 in x 4.271 * [backup-simplify]: Simplify 1/2 into 1/2 4.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.271 * [taylor]: Taking taylor expansion of 1/2 in x 4.271 * [backup-simplify]: Simplify 1/2 into 1/2 4.271 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.271 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.271 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.271 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.271 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.271 * [taylor]: Taking taylor expansion of 1 in x 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of 1 in x 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of (* x x) in x 4.271 * [taylor]: Taking taylor expansion of x in x 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of x in x 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (* 1 1) into 1 4.272 * [backup-simplify]: Simplify (* 0 0) into 0 4.272 * [backup-simplify]: Simplify (+ 1 0) into 1 4.272 * [backup-simplify]: Simplify (sqrt 1) into 1 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.275 * [backup-simplify]: Simplify (/ 1 1) into 1 4.275 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 4.275 * [taylor]: Taking taylor expansion of 1/2 in x 4.275 * [backup-simplify]: Simplify 1/2 into 1/2 4.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.275 * [taylor]: Taking taylor expansion of 1/2 in x 4.275 * [backup-simplify]: Simplify 1/2 into 1/2 4.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.275 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.275 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.275 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.275 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.275 * [taylor]: Taking taylor expansion of 1 in x 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of 1 in x 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of (* x x) in x 4.275 * [taylor]: Taking taylor expansion of x in x 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of x in x 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (* 1 1) into 1 4.276 * [backup-simplify]: Simplify (* 0 0) into 0 4.276 * [backup-simplify]: Simplify (+ 1 0) into 1 4.276 * [backup-simplify]: Simplify (sqrt 1) into 1 4.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.277 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.277 * [backup-simplify]: Simplify (+ 0 0) into 0 4.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.278 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.278 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.279 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (- 0) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.283 * [backup-simplify]: Simplify (+ 0 1) into 1 4.284 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.286 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.287 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.287 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.287 * [backup-simplify]: Simplify 1/4 into 1/4 4.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.289 * [backup-simplify]: Simplify (+ 0 0) into 0 4.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (- 0) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.303 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.303 * [backup-simplify]: Simplify (- 3/16) into -3/16 4.304 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 4.304 * [backup-simplify]: Simplify -3/16 into -3/16 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 4.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 4.310 * [backup-simplify]: Simplify (- 0) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 4.316 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 4.316 * [backup-simplify]: Simplify (- -5/32) into 5/32 4.316 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 4.316 * [backup-simplify]: Simplify 5/32 into 5/32 4.316 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 4.317 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 4.317 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 4.317 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.317 * [taylor]: Taking taylor expansion of 1/2 in x 4.317 * [backup-simplify]: Simplify 1/2 into 1/2 4.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.317 * [taylor]: Taking taylor expansion of 1/2 in x 4.317 * [backup-simplify]: Simplify 1/2 into 1/2 4.317 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.317 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.317 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.317 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.317 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.317 * [taylor]: Taking taylor expansion of 1 in x 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of 1 in x 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [backup-simplify]: Simplify (* 1 1) into 1 4.318 * [backup-simplify]: Simplify (+ 0 1) into 1 4.318 * [backup-simplify]: Simplify (sqrt 1) into 1 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.320 * [backup-simplify]: Simplify (/ 1 1) into 1 4.320 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 4.321 * [taylor]: Taking taylor expansion of 1/2 in x 4.321 * [backup-simplify]: Simplify 1/2 into 1/2 4.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.321 * [taylor]: Taking taylor expansion of 1/2 in x 4.321 * [backup-simplify]: Simplify 1/2 into 1/2 4.321 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.321 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.321 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.321 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.321 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.321 * [taylor]: Taking taylor expansion of 1 in x 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [taylor]: Taking taylor expansion of 1 in x 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.321 * [taylor]: Taking taylor expansion of x in x 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.321 * [taylor]: Taking taylor expansion of x in x 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.322 * [backup-simplify]: Simplify (* 1 1) into 1 4.322 * [backup-simplify]: Simplify (+ 0 1) into 1 4.322 * [backup-simplify]: Simplify (sqrt 1) into 1 4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.324 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.325 * [backup-simplify]: Simplify (/ 1 1) into 1 4.325 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.325 * [backup-simplify]: Simplify 1/2 into 1/2 4.326 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.326 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.326 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.326 * [backup-simplify]: Simplify -1/2 into -1/2 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.329 * [backup-simplify]: Simplify (- 0) into 0 4.329 * [backup-simplify]: Simplify (+ 0 0) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (* 1 1) into 1 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.333 * [backup-simplify]: Simplify (+ 1 0) into 1 4.334 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.336 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.337 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.337 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.337 * [backup-simplify]: Simplify 1/4 into 1/4 4.337 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 4.337 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 4.338 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 4.338 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.338 * [taylor]: Taking taylor expansion of 1/2 in x 4.338 * [backup-simplify]: Simplify 1/2 into 1/2 4.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.338 * [taylor]: Taking taylor expansion of 1/2 in x 4.338 * [backup-simplify]: Simplify 1/2 into 1/2 4.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.338 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.338 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.338 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.338 * [taylor]: Taking taylor expansion of 1 in x 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of 1 in x 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.338 * [taylor]: Taking taylor expansion of -1 in x 4.338 * [backup-simplify]: Simplify -1 into -1 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ -1 1) into -1 4.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.339 * [taylor]: Taking taylor expansion of -1 in x 4.339 * [backup-simplify]: Simplify -1 into -1 4.339 * [taylor]: Taking taylor expansion of x in x 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ -1 1) into -1 4.340 * [backup-simplify]: Simplify (* -1 -1) into 1 4.340 * [backup-simplify]: Simplify (+ 0 1) into 1 4.340 * [backup-simplify]: Simplify (sqrt 1) into 1 4.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.343 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.345 * [backup-simplify]: Simplify (/ 1 1) into 1 4.345 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 4.345 * [taylor]: Taking taylor expansion of 1/2 in x 4.345 * [backup-simplify]: Simplify 1/2 into 1/2 4.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.345 * [taylor]: Taking taylor expansion of 1/2 in x 4.345 * [backup-simplify]: Simplify 1/2 into 1/2 4.345 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.345 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.345 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.345 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.345 * [taylor]: Taking taylor expansion of 1 in x 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of 1 in x 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.345 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.345 * [taylor]: Taking taylor expansion of -1 in x 4.345 * [backup-simplify]: Simplify -1 into -1 4.345 * [taylor]: Taking taylor expansion of x in x 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (/ -1 1) into -1 4.346 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.346 * [taylor]: Taking taylor expansion of -1 in x 4.346 * [backup-simplify]: Simplify -1 into -1 4.346 * [taylor]: Taking taylor expansion of x in x 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (/ -1 1) into -1 4.347 * [backup-simplify]: Simplify (* -1 -1) into 1 4.347 * [backup-simplify]: Simplify (+ 0 1) into 1 4.348 * [backup-simplify]: Simplify (sqrt 1) into 1 4.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.350 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.351 * [backup-simplify]: Simplify (/ 1 1) into 1 4.352 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.352 * [backup-simplify]: Simplify 1/2 into 1/2 4.353 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.353 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.353 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.353 * [backup-simplify]: Simplify -1/2 into -1/2 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.355 * [backup-simplify]: Simplify (- 0) into 0 4.356 * [backup-simplify]: Simplify (+ 0 0) into 0 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify (* 1 1) into 1 4.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.359 * [backup-simplify]: Simplify (+ 1 0) into 1 4.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.363 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.363 * [backup-simplify]: Simplify (- -1/4) into 1/4 4.364 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.364 * [backup-simplify]: Simplify 1/4 into 1/4 4.364 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 4.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 4.364 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.364 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.364 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.364 * [taylor]: Taking taylor expansion of 1/2 in x 4.364 * [backup-simplify]: Simplify 1/2 into 1/2 4.364 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.364 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.364 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.364 * [taylor]: Taking taylor expansion of 1 in x 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [taylor]: Taking taylor expansion of 1 in x 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [taylor]: Taking taylor expansion of (* x x) in x 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [taylor]: Taking taylor expansion of x in x 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (* 0 0) into 0 4.366 * [backup-simplify]: Simplify (+ 1 0) into 1 4.366 * [backup-simplify]: Simplify (sqrt 1) into 1 4.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.368 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.368 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.369 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.369 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.369 * [taylor]: Taking taylor expansion of 1/2 in x 4.369 * [backup-simplify]: Simplify 1/2 into 1/2 4.369 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.369 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.369 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.369 * [taylor]: Taking taylor expansion of 1 in x 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [taylor]: Taking taylor expansion of 1 in x 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [taylor]: Taking taylor expansion of (* x x) in x 4.370 * [taylor]: Taking taylor expansion of x in x 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [taylor]: Taking taylor expansion of x in x 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (* 1 1) into 1 4.371 * [backup-simplify]: Simplify (* 0 0) into 0 4.371 * [backup-simplify]: Simplify (+ 1 0) into 1 4.371 * [backup-simplify]: Simplify (sqrt 1) into 1 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.373 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.381 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.382 * [backup-simplify]: Simplify 1/2 into 1/2 4.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.385 * [backup-simplify]: Simplify (+ 0 1) into 1 4.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.387 * [backup-simplify]: Simplify -1/4 into -1/4 4.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.389 * [backup-simplify]: Simplify (+ 0 0) into 0 4.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.396 * [backup-simplify]: Simplify (+ 0 0) into 0 4.397 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.400 * [backup-simplify]: Simplify 3/16 into 3/16 4.400 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 4.401 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.401 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.401 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.401 * [taylor]: Taking taylor expansion of 1/2 in x 4.401 * [backup-simplify]: Simplify 1/2 into 1/2 4.401 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.401 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.401 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.401 * [taylor]: Taking taylor expansion of 1 in x 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [taylor]: Taking taylor expansion of 1 in x 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.401 * [taylor]: Taking taylor expansion of x in x 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (/ 1 1) into 1 4.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.402 * [taylor]: Taking taylor expansion of x in x 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (/ 1 1) into 1 4.403 * [backup-simplify]: Simplify (* 1 1) into 1 4.403 * [backup-simplify]: Simplify (+ 0 1) into 1 4.403 * [backup-simplify]: Simplify (sqrt 1) into 1 4.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.406 * [backup-simplify]: Simplify (+ 0 0) into 0 4.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.408 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.408 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.408 * [taylor]: Taking taylor expansion of 1/2 in x 4.408 * [backup-simplify]: Simplify 1/2 into 1/2 4.408 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.408 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.408 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.408 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.408 * [taylor]: Taking taylor expansion of 1 in x 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [taylor]: Taking taylor expansion of 1 in x 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.408 * [taylor]: Taking taylor expansion of x in x 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (/ 1 1) into 1 4.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.409 * [taylor]: Taking taylor expansion of x in x 4.409 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (/ 1 1) into 1 4.410 * [backup-simplify]: Simplify (* 1 1) into 1 4.410 * [backup-simplify]: Simplify (+ 0 1) into 1 4.410 * [backup-simplify]: Simplify (sqrt 1) into 1 4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.414 * [backup-simplify]: Simplify 1/2 into 1/2 4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.415 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (* 1 1) into 1 4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.419 * [backup-simplify]: Simplify (+ 1 0) into 1 4.420 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.421 * [backup-simplify]: Simplify -1/4 into -1/4 4.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (+ 0 0) into 0 4.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.432 * [backup-simplify]: Simplify (+ 0 0) into 0 4.434 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.436 * [backup-simplify]: Simplify 3/16 into 3/16 4.436 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 4.436 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.436 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.436 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.436 * [taylor]: Taking taylor expansion of 1/2 in x 4.436 * [backup-simplify]: Simplify 1/2 into 1/2 4.437 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.437 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.437 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.437 * [taylor]: Taking taylor expansion of 1 in x 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [taylor]: Taking taylor expansion of 1 in x 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.437 * [taylor]: Taking taylor expansion of -1 in x 4.437 * [backup-simplify]: Simplify -1 into -1 4.437 * [taylor]: Taking taylor expansion of x in x 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.437 * [backup-simplify]: Simplify (/ -1 1) into -1 4.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.438 * [taylor]: Taking taylor expansion of -1 in x 4.438 * [backup-simplify]: Simplify -1 into -1 4.438 * [taylor]: Taking taylor expansion of x in x 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (/ -1 1) into -1 4.438 * [backup-simplify]: Simplify (* -1 -1) into 1 4.439 * [backup-simplify]: Simplify (+ 0 1) into 1 4.439 * [backup-simplify]: Simplify (sqrt 1) into 1 4.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.442 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.443 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.443 * [taylor]: Taking taylor expansion of 1/2 in x 4.443 * [backup-simplify]: Simplify 1/2 into 1/2 4.443 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.443 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.443 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.443 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.443 * [taylor]: Taking taylor expansion of 1 in x 4.443 * [backup-simplify]: Simplify 1 into 1 4.444 * [taylor]: Taking taylor expansion of 1 in x 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.444 * [taylor]: Taking taylor expansion of -1 in x 4.444 * [backup-simplify]: Simplify -1 into -1 4.444 * [taylor]: Taking taylor expansion of x in x 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (/ -1 1) into -1 4.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.444 * [taylor]: Taking taylor expansion of -1 in x 4.444 * [backup-simplify]: Simplify -1 into -1 4.444 * [taylor]: Taking taylor expansion of x in x 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (/ -1 1) into -1 4.445 * [backup-simplify]: Simplify (* -1 -1) into 1 4.446 * [backup-simplify]: Simplify (+ 0 1) into 1 4.446 * [backup-simplify]: Simplify (sqrt 1) into 1 4.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.448 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.449 * [backup-simplify]: Simplify (+ 0 0) into 0 4.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.450 * [backup-simplify]: Simplify 1/2 into 1/2 4.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (* 1 1) into 1 4.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.455 * [backup-simplify]: Simplify (+ 1 0) into 1 4.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.457 * [backup-simplify]: Simplify -1/4 into -1/4 4.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.464 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.469 * [backup-simplify]: Simplify (+ 0 0) into 0 4.470 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.472 * [backup-simplify]: Simplify 3/16 into 3/16 4.473 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 4.473 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.473 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.473 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.473 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.473 * [taylor]: Taking taylor expansion of 1/2 in x 4.473 * [backup-simplify]: Simplify 1/2 into 1/2 4.473 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.473 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.473 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.473 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.473 * [taylor]: Taking taylor expansion of 1 in x 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [taylor]: Taking taylor expansion of 1 in x 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [taylor]: Taking taylor expansion of (* x x) in x 4.474 * [taylor]: Taking taylor expansion of x in x 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [taylor]: Taking taylor expansion of x in x 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* 1 1) into 1 4.475 * [backup-simplify]: Simplify (* 0 0) into 0 4.475 * [backup-simplify]: Simplify (+ 1 0) into 1 4.475 * [backup-simplify]: Simplify (sqrt 1) into 1 4.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.477 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.477 * [backup-simplify]: Simplify (+ 0 0) into 0 4.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.478 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.479 * [taylor]: Taking taylor expansion of 1/2 in x 4.479 * [backup-simplify]: Simplify 1/2 into 1/2 4.479 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.479 * [taylor]: Taking taylor expansion of 1 in x 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of 1 in x 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of (* x x) in x 4.479 * [taylor]: Taking taylor expansion of x in x 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [taylor]: Taking taylor expansion of x in x 4.479 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify 1 into 1 4.479 * [backup-simplify]: Simplify (* 1 1) into 1 4.480 * [backup-simplify]: Simplify (* 0 0) into 0 4.480 * [backup-simplify]: Simplify (+ 1 0) into 1 4.481 * [backup-simplify]: Simplify (sqrt 1) into 1 4.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.482 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.482 * [backup-simplify]: Simplify (+ 0 0) into 0 4.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.484 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.484 * [backup-simplify]: Simplify 1/2 into 1/2 4.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.487 * [backup-simplify]: Simplify (+ 0 1) into 1 4.488 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.489 * [backup-simplify]: Simplify -1/4 into -1/4 4.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.492 * [backup-simplify]: Simplify (+ 0 0) into 0 4.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.498 * [backup-simplify]: Simplify (+ 0 0) into 0 4.500 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.501 * [backup-simplify]: Simplify 3/16 into 3/16 4.502 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1/2)) into (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) 4.502 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.502 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.502 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.502 * [taylor]: Taking taylor expansion of 1/2 in x 4.502 * [backup-simplify]: Simplify 1/2 into 1/2 4.502 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.502 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.502 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.502 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.502 * [taylor]: Taking taylor expansion of 1 in x 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [taylor]: Taking taylor expansion of 1 in x 4.502 * [backup-simplify]: Simplify 1 into 1 4.502 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.503 * [taylor]: Taking taylor expansion of x in x 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (/ 1 1) into 1 4.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.503 * [taylor]: Taking taylor expansion of x in x 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [backup-simplify]: Simplify (/ 1 1) into 1 4.504 * [backup-simplify]: Simplify (* 1 1) into 1 4.505 * [backup-simplify]: Simplify (+ 0 1) into 1 4.505 * [backup-simplify]: Simplify (sqrt 1) into 1 4.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.508 * [backup-simplify]: Simplify (+ 0 0) into 0 4.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.509 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.509 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.509 * [taylor]: Taking taylor expansion of 1/2 in x 4.509 * [backup-simplify]: Simplify 1/2 into 1/2 4.509 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.509 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.509 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.510 * [taylor]: Taking taylor expansion of 1 in x 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [taylor]: Taking taylor expansion of 1 in x 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.510 * [taylor]: Taking taylor expansion of x in x 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (/ 1 1) into 1 4.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.510 * [taylor]: Taking taylor expansion of x in x 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.511 * [backup-simplify]: Simplify (/ 1 1) into 1 4.511 * [backup-simplify]: Simplify (* 1 1) into 1 4.512 * [backup-simplify]: Simplify (+ 0 1) into 1 4.512 * [backup-simplify]: Simplify (sqrt 1) into 1 4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.516 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.516 * [backup-simplify]: Simplify 1/2 into 1/2 4.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify (* 1 1) into 1 4.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.521 * [backup-simplify]: Simplify (+ 1 0) into 1 4.522 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.524 * [backup-simplify]: Simplify -1/4 into -1/4 4.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.528 * [backup-simplify]: Simplify (+ 0 0) into 0 4.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.540 * [backup-simplify]: Simplify (+ 0 0) into 0 4.541 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.542 * [backup-simplify]: Simplify 3/16 into 3/16 4.542 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 4.542 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.542 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.542 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.542 * [taylor]: Taking taylor expansion of 1/2 in x 4.542 * [backup-simplify]: Simplify 1/2 into 1/2 4.542 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.542 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.542 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.542 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.542 * [taylor]: Taking taylor expansion of 1 in x 4.542 * [backup-simplify]: Simplify 1 into 1 4.542 * [taylor]: Taking taylor expansion of 1 in x 4.542 * [backup-simplify]: Simplify 1 into 1 4.542 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.542 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.542 * [taylor]: Taking taylor expansion of -1 in x 4.542 * [backup-simplify]: Simplify -1 into -1 4.542 * [taylor]: Taking taylor expansion of x in x 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (/ -1 1) into -1 4.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.543 * [taylor]: Taking taylor expansion of -1 in x 4.543 * [backup-simplify]: Simplify -1 into -1 4.543 * [taylor]: Taking taylor expansion of x in x 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (/ -1 1) into -1 4.544 * [backup-simplify]: Simplify (* -1 -1) into 1 4.544 * [backup-simplify]: Simplify (+ 0 1) into 1 4.544 * [backup-simplify]: Simplify (sqrt 1) into 1 4.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.546 * [backup-simplify]: Simplify (+ 0 0) into 0 4.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.547 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.547 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.547 * [taylor]: Taking taylor expansion of 1/2 in x 4.547 * [backup-simplify]: Simplify 1/2 into 1/2 4.547 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.547 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.547 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.547 * [taylor]: Taking taylor expansion of 1 in x 4.547 * [backup-simplify]: Simplify 1 into 1 4.547 * [taylor]: Taking taylor expansion of 1 in x 4.547 * [backup-simplify]: Simplify 1 into 1 4.547 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.547 * [taylor]: Taking taylor expansion of -1 in x 4.547 * [backup-simplify]: Simplify -1 into -1 4.547 * [taylor]: Taking taylor expansion of x in x 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify 1 into 1 4.547 * [backup-simplify]: Simplify (/ -1 1) into -1 4.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.547 * [taylor]: Taking taylor expansion of -1 in x 4.547 * [backup-simplify]: Simplify -1 into -1 4.547 * [taylor]: Taking taylor expansion of x in x 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify 1 into 1 4.548 * [backup-simplify]: Simplify (/ -1 1) into -1 4.548 * [backup-simplify]: Simplify (* -1 -1) into 1 4.548 * [backup-simplify]: Simplify (+ 0 1) into 1 4.548 * [backup-simplify]: Simplify (sqrt 1) into 1 4.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.550 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.550 * [backup-simplify]: Simplify (+ 0 0) into 0 4.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.551 * [backup-simplify]: Simplify 1/2 into 1/2 4.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify (* 1 1) into 1 4.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.554 * [backup-simplify]: Simplify (+ 1 0) into 1 4.554 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.555 * [backup-simplify]: Simplify -1/4 into -1/4 4.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.558 * [backup-simplify]: Simplify (+ 0 0) into 0 4.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.559 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.562 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.562 * [backup-simplify]: Simplify (+ 0 0) into 0 4.563 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.564 * [backup-simplify]: Simplify 3/16 into 3/16 4.564 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/4 (pow (/ 1 (- x)) 3)) (* 1/2 (/ 1 (- x))))) into (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 4.564 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 4.564 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 4.564 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 4.564 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.564 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.564 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.564 * [taylor]: Taking taylor expansion of 1 in x 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [taylor]: Taking taylor expansion of 1 in x 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [taylor]: Taking taylor expansion of (* x x) in x 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [taylor]: Taking taylor expansion of x in x 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (* 1 1) into 1 4.565 * [backup-simplify]: Simplify (* 0 0) into 0 4.565 * [backup-simplify]: Simplify (+ 1 0) into 1 4.565 * [backup-simplify]: Simplify (sqrt 1) into 1 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.566 * [backup-simplify]: Simplify (+ 0 0) into 0 4.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.567 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.567 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.567 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.567 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.567 * [taylor]: Taking taylor expansion of 1 in x 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [taylor]: Taking taylor expansion of 1 in x 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [taylor]: Taking taylor expansion of (* x x) in x 4.567 * [taylor]: Taking taylor expansion of x in x 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [taylor]: Taking taylor expansion of x in x 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (* 1 1) into 1 4.567 * [backup-simplify]: Simplify (* 0 0) into 0 4.568 * [backup-simplify]: Simplify (+ 1 0) into 1 4.568 * [backup-simplify]: Simplify (sqrt 1) into 1 4.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.569 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.569 * [backup-simplify]: Simplify (+ 0 0) into 0 4.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.571 * [backup-simplify]: Simplify (+ 0 1) into 1 4.571 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.571 * [backup-simplify]: Simplify 1/2 into 1/2 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.574 * [backup-simplify]: Simplify (+ 0 0) into 0 4.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.575 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.578 * [backup-simplify]: Simplify (+ 0 0) into 0 4.579 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.579 * [backup-simplify]: Simplify -1/8 into -1/8 4.580 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/2 (pow x 2)) 1)) into (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))) 4.580 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 4.580 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 4.580 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.580 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.580 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.580 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.580 * [taylor]: Taking taylor expansion of 1 in x 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [taylor]: Taking taylor expansion of 1 in x 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.580 * [taylor]: Taking taylor expansion of x in x 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (/ 1 1) into 1 4.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.581 * [taylor]: Taking taylor expansion of x in x 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (/ 1 1) into 1 4.582 * [backup-simplify]: Simplify (* 1 1) into 1 4.582 * [backup-simplify]: Simplify (+ 0 1) into 1 4.583 * [backup-simplify]: Simplify (sqrt 1) into 1 4.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.586 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.586 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.586 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.586 * [taylor]: Taking taylor expansion of 1 in x 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of 1 in x 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (/ 1 1) into 1 4.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.587 * [taylor]: Taking taylor expansion of x in x 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (/ 1 1) into 1 4.588 * [backup-simplify]: Simplify (* 1 1) into 1 4.588 * [backup-simplify]: Simplify (+ 0 1) into 1 4.588 * [backup-simplify]: Simplify (sqrt 1) into 1 4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.590 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.593 * [backup-simplify]: Simplify (+ 1 0) into 1 4.593 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.593 * [backup-simplify]: Simplify 1/2 into 1/2 4.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.596 * [backup-simplify]: Simplify (+ 0 0) into 0 4.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.599 * [backup-simplify]: Simplify (+ 0 0) into 0 4.600 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.600 * [backup-simplify]: Simplify -1/8 into -1/8 4.600 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* 1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))) 4.600 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 4.600 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 4.600 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.600 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.600 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.600 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.600 * [taylor]: Taking taylor expansion of 1 in x 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [taylor]: Taking taylor expansion of 1 in x 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.600 * [taylor]: Taking taylor expansion of -1 in x 4.600 * [backup-simplify]: Simplify -1 into -1 4.600 * [taylor]: Taking taylor expansion of x in x 4.600 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [backup-simplify]: Simplify (/ -1 1) into -1 4.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.600 * [taylor]: Taking taylor expansion of -1 in x 4.601 * [backup-simplify]: Simplify -1 into -1 4.601 * [taylor]: Taking taylor expansion of x in x 4.601 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify 1 into 1 4.601 * [backup-simplify]: Simplify (/ -1 1) into -1 4.601 * [backup-simplify]: Simplify (* -1 -1) into 1 4.601 * [backup-simplify]: Simplify (+ 0 1) into 1 4.602 * [backup-simplify]: Simplify (sqrt 1) into 1 4.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.603 * [backup-simplify]: Simplify (+ 0 0) into 0 4.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.604 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.604 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.604 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.604 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.604 * [taylor]: Taking taylor expansion of 1 in x 4.604 * [backup-simplify]: Simplify 1 into 1 4.604 * [taylor]: Taking taylor expansion of 1 in x 4.604 * [backup-simplify]: Simplify 1 into 1 4.604 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.604 * [taylor]: Taking taylor expansion of -1 in x 4.604 * [backup-simplify]: Simplify -1 into -1 4.604 * [taylor]: Taking taylor expansion of x in x 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 1 into 1 4.604 * [backup-simplify]: Simplify (/ -1 1) into -1 4.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.604 * [taylor]: Taking taylor expansion of -1 in x 4.604 * [backup-simplify]: Simplify -1 into -1 4.604 * [taylor]: Taking taylor expansion of x in x 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.605 * [backup-simplify]: Simplify (/ -1 1) into -1 4.605 * [backup-simplify]: Simplify (* -1 -1) into 1 4.605 * [backup-simplify]: Simplify (+ 0 1) into 1 4.606 * [backup-simplify]: Simplify (sqrt 1) into 1 4.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.607 * [backup-simplify]: Simplify (+ 0 0) into 0 4.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify (* 1 1) into 1 4.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.610 * [backup-simplify]: Simplify (+ 1 0) into 1 4.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.610 * [backup-simplify]: Simplify 1/2 into 1/2 4.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.613 * [backup-simplify]: Simplify (+ 0 0) into 0 4.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.617 * [backup-simplify]: Simplify (+ 0 0) into 0 4.618 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.618 * [backup-simplify]: Simplify -1/8 into -1/8 4.619 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* 1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 4.619 * * * [progress]: simplifying candidates 4.619 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 4.619 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 4.619 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 4.619 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 4.619 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 4.619 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 4.619 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 4.620 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 4.621 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 4.622 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 4.623 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 4.624 * * * * [progress]: [ 60 / 143 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 4.624 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 4.625 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 4.626 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 90 / 143 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 4.627 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 4.627 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 4.628 * * * * [progress]: [ 111 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 120 / 143 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 4.629 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 4.629 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 130 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 131 / 143 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))))))))> 4.630 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 4.630 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 4.631 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 4.631 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 4.631 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 4.631 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 4.631 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 4.633 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 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(real->posit16 (hypot 1 x)), (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))), (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))), (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))), (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))), (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))), (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))), (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))), (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))), (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))), (- (+ (* 1/2 (pow x 2)) 1) (* 1/8 (pow x 4))), (- (+ x (* 1/2 (/ 1 x))) (* 1/8 (/ 1 (pow x 3)))), (- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x)))) 4.639 * * [simplify]: iteration 1: (217 enodes) 4.761 * * [simplify]: iteration 2: (911 enodes) 5.086 * * [simplify]: Extracting #0: cost 95 inf + 0 5.087 * * [simplify]: Extracting #1: cost 381 inf + 44 5.090 * * [simplify]: Extracting #2: cost 486 inf + 20455 5.109 * * [simplify]: Extracting #3: cost 158 inf + 94558 5.144 * * [simplify]: Extracting #4: cost 33 inf + 119570 5.177 * * [simplify]: Extracting #5: cost 2 inf + 128208 5.200 * * [simplify]: Extracting #6: cost 0 inf + 128971 5.607 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (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 (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 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1/2), (/ (sqrt 1/2) (hypot 1 x)), (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1, (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), 1/2, (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))), (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))), (cbrt (/ 1/2 (hypot 1 x))), (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 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) (sqrt (hypot 1 x))) (cbrt 1/2)), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (* (cbrt 1/2) (cbrt 1/2)), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (sqrt 1/2), (/ (sqrt 1/2) (hypot 1 x)), (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1, (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), 1/2, (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (hypot 1 x)), (log1p (hypot 1 x)), (fma x x 1), (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)), (fma 1/4 (* x x) (fma 5/32 (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) -3/16))), (+ 1/2 (- (/ 1/4 (* (* x x) x)) (/ 1/2 x))), (+ (+ 1/2 (/ 1/2 x)) (/ -1/4 (* (* x x) x))), (+ (* (* x x) -1/4) (fma 3/16 (* (* x x) (* x x)) 1/2)), (+ (+ (/ 1/2 x) (/ -1/4 (* (* x x) x))) (/ 3/16 (pow x 5))), (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))), (+ (* (* x x) -1/4) (fma 3/16 (* (* x x) (* x x)) 1/2)), (+ (+ (/ 1/2 x) (/ -1/4 (* (* x x) x))) (/ 3/16 (pow x 5))), (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5))), (fma 1/2 (* x x) (- 1 (* 1/8 (* (* x x) (* x x))))), (+ (+ (/ 1/2 x) x) (/ -1/8 (* (* x x) x))), (- (- (/ 1/8 (* (* x x) x)) x) (/ 1/2 x)) 5.607 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 5.607 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.608 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.608 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 5.608 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.608 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.608 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 5.608 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.609 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (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 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.609 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 5.609 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)))) (fma (- (/ (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) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.609 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (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)) (+ (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.610 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 5.610 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (hypot 1 x))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.610 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (* (* (cbrt 1/2) (cbrt 1/2)) (+ (- (/ (cbrt 1/2) (hypot 1 x))) (/ (cbrt 1/2) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.610 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 5.610 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.610 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.611 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 5.611 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.611 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.611 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 5.611 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.612 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.612 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 5.612 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.612 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ (/ (- (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.613 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 5.613 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.613 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (+ (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.613 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 5.613 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.613 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.614 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 5.614 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.614 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.614 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 5.614 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.614 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.614 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 5.615 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.615 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.615 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 5.615 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.615 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.615 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 5.615 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.616 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (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 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.616 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 5.616 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (* (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)))) (fma (- (/ (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) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.616 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (+ 1/2 (* (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (sqrt (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)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.617 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 5.617 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (/ (* (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2))) (hypot 1 x))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.617 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (* (* (cbrt 1/2) (cbrt 1/2)) (+ (- (/ (cbrt 1/2) (hypot 1 x))) (/ (cbrt 1/2) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.617 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 5.617 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.617 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.618 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 5.618 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.618 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (+ 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.618 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 5.618 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.619 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.619 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 5.619 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (/ (- (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (cbrt (hypot 1 x)))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.619 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ (/ (- (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.619 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 5.619 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.620 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (+ 1/2 (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (+ (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.620 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 5.620 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.620 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.620 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 5.620 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.620 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.621 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 5.621 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.621 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.621 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 5.621 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.621 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.621 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 5.622 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.622 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.622 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 5.622 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.622 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma 1 1/2 (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (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 (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.622 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 5.623 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (* (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)))) (fma (- (/ (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) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.623 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma 1 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)) (+ (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (cbrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.623 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 5.623 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (/ (* (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2))) (hypot 1 x))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.623 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma 1 1/2 (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (* (* (cbrt 1/2) (cbrt 1/2)) (+ (- (/ (cbrt 1/2) (hypot 1 x))) (/ (cbrt 1/2) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.624 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 5.624 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.624 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma 1 1/2 (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.624 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 5.624 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.624 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (+ 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.625 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 5.625 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.625 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.625 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 5.625 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (/ (- (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (cbrt (hypot 1 x)))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.626 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ (/ (- (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.626 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 5.626 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (+ 1/2 (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (- (/ 1/2 (sqrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.626 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x)))))) (+ (- (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.626 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 5.627 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.627 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.627 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 5.627 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.627 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.627 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 5.627 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.627 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.628 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 5.628 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log1p (expm1 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.628 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 5.628 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.628 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 5.628 * [simplify]: Simplified (2 1 3) to (λ (x) (/ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.628 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 5.628 * [simplify]: Simplified (2 1 3) to (λ (x) (/ (fma (sqrt 1/2) (sqrt 1/2) (/ -1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.628 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 5.628 * [simplify]: Simplified (2 1 3) to (λ (x) (/ (fma 1 1/2 (/ -1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.628 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 5.628 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.629 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 5.629 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 5.629 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (exp (log (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.629 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 5.629 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.629 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 5.629 * [simplify]: Simplified (2 1 1) to (λ (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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.629 * [simplify]: Simplified (2 1 2) to (λ (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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.629 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 5.629 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (cbrt (* (* (- 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))))))) 5.630 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 5.630 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (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))))))) 5.630 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* (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))))))) 5.630 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 5.630 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.630 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.630 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 5.630 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ 1/2 (/ -1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.630 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 5.631 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 5.631 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (/ (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.631 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (/ (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.631 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 5.631 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.631 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.631 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 5.631 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.631 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.632 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 5.632 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.632 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 5.632 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (+ 1/2 (/ -1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.632 * * * * [progress]: [ 60 / 143 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 5.632 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (posit16->real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.632 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 5.632 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (log1p (expm1 (/ 1/2 (hypot 1 x))))))))) 5.632 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 5.632 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (expm1 (log1p (/ 1/2 (hypot 1 x))))))))) 5.632 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 5.633 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 5.633 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (exp (log (/ 1/2 (hypot 1 x))))))))) 5.633 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 5.633 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (exp (log (/ 1/2 (hypot 1 x))))))))) 5.633 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 5.633 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (log (exp (/ 1/2 (hypot 1 x))))))))) 5.633 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 5.633 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))))) 5.633 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 5.633 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))))))))) 5.633 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))))))))) 5.634 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 5.634 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))))) 5.634 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 5.634 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))))) 5.634 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))))))) 5.634 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 5.634 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ -1/2 (- (hypot 1 x)))))))) 5.634 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ -1/2 (- (hypot 1 x)))))))) 5.634 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 5.635 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))))) 5.635 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))))))) 5.635 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 5.635 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))))) 5.635 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x))))))))) 5.635 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 5.635 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)))))))) 5.636 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)))))))) 5.636 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 5.636 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))))))) 5.636 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))))))) 5.636 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 5.636 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))))))) 5.636 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))))))) 5.636 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 5.637 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)))))))) 5.637 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)))))))) 5.637 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 5.637 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))))))) 5.637 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))))))))) 5.637 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 5.637 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))))))) 5.637 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))))))) 5.638 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 5.638 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* 1 (/ 1/2 (hypot 1 x)))))))) 5.638 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* 1 (/ 1/2 (hypot 1 x)))))))) 5.638 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 5.638 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 5.638 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (* 1/2 (/ 1 (hypot 1 x)))))))) 5.638 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 5.638 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1 (/ (hypot 1 x) 1/2))))))) 5.638 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 5.638 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))))))) 5.639 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 5.639 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))))))) 5.639 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 5.639 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.639 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 5.639 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2)))))))) 5.639 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 5.639 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2)))))))) 5.639 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 5.639 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1 (/ (hypot 1 x) 1/2))))))) 5.640 * * * * [progress]: [ 90 / 143 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 5.640 * [simplify]: Simplified (2 2 2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (posit16->real (real->posit16 (/ 1/2 (hypot 1 x))))))))) 5.640 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 5.640 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (log1p (expm1 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.640 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 5.640 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (expm1 (log1p (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.640 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 5.640 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 5.640 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (exp (log (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.640 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 5.640 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (exp (log (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.641 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 5.641 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (log (exp (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.641 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 5.641 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.641 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 5.641 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.641 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.641 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 5.641 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.642 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 5.642 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.642 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.642 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 5.642 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (/ -1/2 (- (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.642 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (/ -1/2 (- (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.642 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 5.642 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.642 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.643 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 5.643 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.643 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.643 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 5.643 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.643 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.643 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 5.643 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.644 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.644 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 5.644 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.644 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.644 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 5.644 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.644 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.644 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 5.645 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.645 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.645 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 5.645 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.645 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.645 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 5.645 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (* 1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.645 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* 1 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.646 * * * * [progress]: [ 111 / 143 ] simplifiying candidate # 5.646 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 5.646 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.646 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 5.646 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1 (/ (hypot 1 x) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.646 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 5.646 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.646 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 5.647 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.647 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 5.647 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.647 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 5.647 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (/ (* (cbrt 1/2) (cbrt 1/2)) (/ (hypot 1 x) (cbrt 1/2)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.647 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 5.647 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (/ (sqrt 1/2) (/ (hypot 1 x) (sqrt 1/2)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.647 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 5.647 * [simplify]: Simplified (2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1 (/ (hypot 1 x) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.647 * * * * [progress]: [ 120 / 143 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 5.648 * [simplify]: Simplified (2 1 2 1) to (λ (x) (/ (- 1/2 (posit16->real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.648 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 5.648 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (log1p (expm1 (hypot 1 x))))))))) 5.648 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 5.648 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (expm1 (log1p (hypot 1 x))))))))) 5.648 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 5.648 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (fma x x 1)))))))) 5.648 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 5.648 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 5.648 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (exp (log (hypot 1 x))))))))) 5.649 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 5.649 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (log (exp (hypot 1 x))))))))) 5.649 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 5.649 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))))))) 5.649 * [simplify]: Simplified (2 2 2 1 2 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))))))))) 5.649 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 5.649 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (cbrt (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))))) 5.649 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 5.649 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))))))) 5.650 * [simplify]: Simplified (2 2 2 1 2 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x))))))))) 5.650 * * * * [progress]: [ 130 / 143 ] simplifiying candidate # 5.650 * * * * [progress]: [ 131 / 143 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))))))))> 5.650 * [simplify]: Simplified (2 2 2 1 2 2 1) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (posit16->real (real->posit16 (hypot 1 x))))))))) 5.650 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 5.650 * [simplify]: Simplified (2 1) to (λ (x) (/ (fma 1/4 (* x x) (fma 5/32 (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) -3/16))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.650 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 5.650 * [simplify]: Simplified (2 1) to (λ (x) (/ (+ 1/2 (- (/ 1/4 (* (* x x) x)) (/ 1/2 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.650 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 5.651 * [simplify]: Simplified (2 1) to (λ (x) (/ (+ (+ 1/2 (/ 1/2 x)) (/ -1/4 (* (* x x) x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.651 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 5.651 * [simplify]: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (+ (* (* x x) -1/4) (fma 3/16 (* (* x x) (* x x)) 1/2))))))) 5.651 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 5.651 * [simplify]: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (+ (+ (/ 1/2 x) (/ -1/4 (* (* x x) x))) (/ 3/16 (pow x 5)))))))) 5.651 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 5.651 * [simplify]: Simplified (2 2 2 1 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5)))))))) 5.651 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 5.652 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- 1/2 (+ (* (* x x) -1/4) (fma 3/16 (* (* x x) (* x x)) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.652 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 5.652 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- 1/2 (+ (+ (/ 1/2 x) (/ -1/4 (* (* x x) x))) (/ 3/16 (pow x 5)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.652 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 5.652 * [simplify]: Simplified (2 1 2) to (λ (x) (/ (- 1/2 (- (- (/ 1/4 (* (* x x) x)) (/ 1/2 x)) (/ 3/16 (pow x 5)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 5.652 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 5.652 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (fma 1/2 (* x x) (- 1 (* 1/8 (* (* x x) (* x x))))))))))) 5.652 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 5.652 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (+ (+ (/ 1/2 x) x) (/ -1/8 (* (* x x) x))))))))) 5.653 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 5.653 * [simplify]: Simplified (2 2 2 1 2 2) to (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (- (- (/ 1/8 (* (* x x) x)) x) (/ 1/2 x)))))))) 5.653 * * * [progress]: adding candidates to table 7.254 * * [progress]: iteration 4 / 4 7.255 * * * [progress]: picking best candidate 7.263 * * * * [pick]: Picked # 7.263 * * * [progress]: localizing error 7.312 * * * [progress]: generating rewritten candidates 7.312 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 7.350 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 7.374 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 7.392 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1) 7.400 * * * [progress]: generating series expansions 7.400 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.400 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) 7.400 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 7.400 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.400 * [taylor]: Taking taylor expansion of 1/8 in x 7.401 * [backup-simplify]: Simplify 1/8 into 1/8 7.401 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.401 * [taylor]: Taking taylor expansion of 1/8 in x 7.401 * [backup-simplify]: Simplify 1/8 into 1/8 7.401 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.401 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.401 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.401 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.401 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.401 * [taylor]: Taking taylor expansion of 1 in x 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of 1 in x 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of (* x x) in x 7.401 * [taylor]: Taking taylor expansion of x in x 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of x in x 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (* 1 1) into 1 7.402 * [backup-simplify]: Simplify (* 0 0) into 0 7.402 * [backup-simplify]: Simplify (+ 1 0) into 1 7.402 * [backup-simplify]: Simplify (sqrt 1) into 1 7.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.403 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.405 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.406 * [backup-simplify]: Simplify (* 1 1) into 1 7.406 * [backup-simplify]: Simplify (* 1 1) into 1 7.407 * [backup-simplify]: Simplify (/ 1 1) into 1 7.407 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.407 * [taylor]: Taking taylor expansion of 1/8 in x 7.407 * [backup-simplify]: Simplify 1/8 into 1/8 7.407 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.407 * [taylor]: Taking taylor expansion of 1/8 in x 7.407 * [backup-simplify]: Simplify 1/8 into 1/8 7.407 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.407 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.407 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.407 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.407 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.407 * [taylor]: Taking taylor expansion of 1 in x 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [taylor]: Taking taylor expansion of 1 in x 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [taylor]: Taking taylor expansion of (* x x) in x 7.407 * [taylor]: Taking taylor expansion of x in x 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [taylor]: Taking taylor expansion of x in x 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (* 1 1) into 1 7.408 * [backup-simplify]: Simplify (* 0 0) into 0 7.408 * [backup-simplify]: Simplify (+ 1 0) into 1 7.408 * [backup-simplify]: Simplify (sqrt 1) into 1 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.409 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.409 * [backup-simplify]: Simplify (+ 0 0) into 0 7.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.410 * [backup-simplify]: Simplify (* 1 1) into 1 7.410 * [backup-simplify]: Simplify (* 1 1) into 1 7.410 * [backup-simplify]: Simplify (/ 1 1) into 1 7.411 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.411 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.411 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 7.411 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.413 * [backup-simplify]: Simplify (- 0) into 0 7.413 * [backup-simplify]: Simplify (+ 0 0) into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.414 * [backup-simplify]: Simplify (+ 0 1) into 1 7.415 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.416 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.416 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.417 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.418 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.418 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.418 * [backup-simplify]: Simplify 3/16 into 3/16 7.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.419 * [backup-simplify]: Simplify (+ 0 0) into 0 7.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 7.423 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 7.423 * [backup-simplify]: Simplify (- 0) into 0 7.423 * [backup-simplify]: Simplify (+ 0 0) into 0 7.423 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.425 * [backup-simplify]: Simplify (+ 0 0) into 0 7.426 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.427 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 7.431 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 7.432 * [backup-simplify]: Simplify (- 15/64) into -15/64 7.432 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 7.432 * [backup-simplify]: Simplify -15/64 into -15/64 7.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.435 * [backup-simplify]: Simplify (+ 0 0) into 0 7.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 7.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 7.446 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 7.446 * [backup-simplify]: Simplify (- 0) into 0 7.446 * [backup-simplify]: Simplify (+ 0 0) into 0 7.446 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.450 * [backup-simplify]: Simplify (+ 0 0) into 0 7.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.454 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 7.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 7.462 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 7.462 * [backup-simplify]: Simplify (- -35/128) into 35/128 7.462 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 7.462 * [backup-simplify]: Simplify 35/128 into 35/128 7.463 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 6)) (+ (* -15/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (+ (* 3/16 (pow x 2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))) 7.463 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) 7.463 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 7.463 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.463 * [taylor]: Taking taylor expansion of 1/8 in x 7.463 * [backup-simplify]: Simplify 1/8 into 1/8 7.463 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.463 * [taylor]: Taking taylor expansion of 1/8 in x 7.463 * [backup-simplify]: Simplify 1/8 into 1/8 7.463 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.464 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.464 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.464 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.464 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.464 * [taylor]: Taking taylor expansion of 1 in x 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of 1 in x 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.464 * [taylor]: Taking taylor expansion of x in x 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (/ 1 1) into 1 7.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.464 * [taylor]: Taking taylor expansion of x in x 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.465 * [backup-simplify]: Simplify (/ 1 1) into 1 7.465 * [backup-simplify]: Simplify (* 1 1) into 1 7.466 * [backup-simplify]: Simplify (+ 0 1) into 1 7.466 * [backup-simplify]: Simplify (sqrt 1) into 1 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.469 * [backup-simplify]: Simplify (+ 0 0) into 0 7.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.470 * [backup-simplify]: Simplify (* 1 1) into 1 7.470 * [backup-simplify]: Simplify (* 1 1) into 1 7.471 * [backup-simplify]: Simplify (/ 1 1) into 1 7.471 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.471 * [taylor]: Taking taylor expansion of 1/8 in x 7.471 * [backup-simplify]: Simplify 1/8 into 1/8 7.471 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.471 * [taylor]: Taking taylor expansion of 1/8 in x 7.471 * [backup-simplify]: Simplify 1/8 into 1/8 7.471 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.471 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.471 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.471 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.471 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.471 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.471 * [taylor]: Taking taylor expansion of 1 in x 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of 1 in x 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.471 * [taylor]: Taking taylor expansion of x in x 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify (/ 1 1) into 1 7.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.472 * [taylor]: Taking taylor expansion of x in x 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify (/ 1 1) into 1 7.472 * [backup-simplify]: Simplify (* 1 1) into 1 7.473 * [backup-simplify]: Simplify (+ 0 1) into 1 7.473 * [backup-simplify]: Simplify (sqrt 1) into 1 7.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.474 * [backup-simplify]: Simplify (+ 0 0) into 0 7.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.475 * [backup-simplify]: Simplify (* 1 1) into 1 7.476 * [backup-simplify]: Simplify (* 1 1) into 1 7.476 * [backup-simplify]: Simplify (/ 1 1) into 1 7.476 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.476 * [backup-simplify]: Simplify 1/8 into 1/8 7.476 * [backup-simplify]: Simplify (+ 0 0) into 0 7.476 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (+ 0 0) into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.477 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.477 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 7.478 * [backup-simplify]: Simplify -1/8 into -1/8 7.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.479 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.479 * [backup-simplify]: Simplify (- 0) into 0 7.480 * [backup-simplify]: Simplify (+ 0 0) into 0 7.480 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify (* 1 1) into 1 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.482 * [backup-simplify]: Simplify (+ 1 0) into 1 7.482 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.483 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.483 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.485 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.485 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.485 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.485 * [backup-simplify]: Simplify 3/16 into 3/16 7.485 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/8 (pow (/ 1 x) 3)) 1/8)) into (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))) 7.486 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) 7.486 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 7.486 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 7.486 * [taylor]: Taking taylor expansion of 1/8 in x 7.486 * [backup-simplify]: Simplify 1/8 into 1/8 7.486 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.486 * [taylor]: Taking taylor expansion of 1/8 in x 7.486 * [backup-simplify]: Simplify 1/8 into 1/8 7.486 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.486 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.486 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.486 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.486 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.486 * [taylor]: Taking taylor expansion of 1 in x 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [taylor]: Taking taylor expansion of 1 in x 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.486 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.486 * [taylor]: Taking taylor expansion of -1 in x 7.486 * [backup-simplify]: Simplify -1 into -1 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [backup-simplify]: Simplify (/ -1 1) into -1 7.486 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.486 * [taylor]: Taking taylor expansion of -1 in x 7.486 * [backup-simplify]: Simplify -1 into -1 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.487 * [backup-simplify]: Simplify (/ -1 1) into -1 7.487 * [backup-simplify]: Simplify (* -1 -1) into 1 7.487 * [backup-simplify]: Simplify (+ 0 1) into 1 7.487 * [backup-simplify]: Simplify (sqrt 1) into 1 7.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.489 * [backup-simplify]: Simplify (+ 0 0) into 0 7.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.490 * [backup-simplify]: Simplify (* 1 1) into 1 7.490 * [backup-simplify]: Simplify (* 1 1) into 1 7.490 * [backup-simplify]: Simplify (/ 1 1) into 1 7.490 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 7.490 * [taylor]: Taking taylor expansion of 1/8 in x 7.490 * [backup-simplify]: Simplify 1/8 into 1/8 7.490 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.490 * [taylor]: Taking taylor expansion of 1/8 in x 7.490 * [backup-simplify]: Simplify 1/8 into 1/8 7.490 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.490 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.490 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.490 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.490 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.490 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.490 * [taylor]: Taking taylor expansion of 1 in x 7.490 * [backup-simplify]: Simplify 1 into 1 7.490 * [taylor]: Taking taylor expansion of 1 in x 7.490 * [backup-simplify]: Simplify 1 into 1 7.490 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.490 * [taylor]: Taking taylor expansion of -1 in x 7.490 * [backup-simplify]: Simplify -1 into -1 7.490 * [taylor]: Taking taylor expansion of x in x 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ -1 1) into -1 7.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.491 * [taylor]: Taking taylor expansion of -1 in x 7.491 * [backup-simplify]: Simplify -1 into -1 7.491 * [taylor]: Taking taylor expansion of x in x 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ -1 1) into -1 7.491 * [backup-simplify]: Simplify (* -1 -1) into 1 7.492 * [backup-simplify]: Simplify (+ 0 1) into 1 7.492 * [backup-simplify]: Simplify (sqrt 1) into 1 7.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.493 * [backup-simplify]: Simplify (+ 0 0) into 0 7.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.494 * [backup-simplify]: Simplify (* 1 1) into 1 7.494 * [backup-simplify]: Simplify (* 1 1) into 1 7.495 * [backup-simplify]: Simplify (/ 1 1) into 1 7.495 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.495 * [backup-simplify]: Simplify 1/8 into 1/8 7.495 * [backup-simplify]: Simplify (+ 0 0) into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify (+ 0 0) into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.496 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.496 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 7.496 * [backup-simplify]: Simplify -1/8 into -1/8 7.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.498 * [backup-simplify]: Simplify (- 0) into 0 7.498 * [backup-simplify]: Simplify (+ 0 0) into 0 7.498 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify (* 1 1) into 1 7.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.500 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.500 * [backup-simplify]: Simplify (+ 1 0) into 1 7.501 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.502 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.502 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.503 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.504 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.504 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.504 * [backup-simplify]: Simplify 3/16 into 3/16 7.504 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) 1/8)) into (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))) 7.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 7.504 * [backup-simplify]: Simplify (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) into (/ 1/8 (pow (hypot 1 x) 3)) 7.504 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in (x) around 0 7.504 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 7.504 * [taylor]: Taking taylor expansion of 1/8 in x 7.504 * [backup-simplify]: Simplify 1/8 into 1/8 7.504 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.504 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.504 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.504 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.504 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.504 * [taylor]: Taking taylor expansion of 1 in x 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of 1 in x 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of (* x x) in x 7.505 * [taylor]: Taking taylor expansion of x in x 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of x in x 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (* 1 1) into 1 7.505 * [backup-simplify]: Simplify (* 0 0) into 0 7.505 * [backup-simplify]: Simplify (+ 1 0) into 1 7.506 * [backup-simplify]: Simplify (sqrt 1) into 1 7.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.506 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.507 * [backup-simplify]: Simplify (+ 0 0) into 0 7.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.508 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.508 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 7.508 * [taylor]: Taking taylor expansion of 1/8 in x 7.508 * [backup-simplify]: Simplify 1/8 into 1/8 7.508 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.508 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.508 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.508 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.508 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.508 * [taylor]: Taking taylor expansion of 1 in x 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [taylor]: Taking taylor expansion of 1 in x 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [taylor]: Taking taylor expansion of (* x x) in x 7.508 * [taylor]: Taking taylor expansion of x in x 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [taylor]: Taking taylor expansion of x in x 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (* 1 1) into 1 7.509 * [backup-simplify]: Simplify (* 0 0) into 0 7.509 * [backup-simplify]: Simplify (+ 1 0) into 1 7.514 * [backup-simplify]: Simplify (sqrt 1) into 1 7.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.515 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.516 * [backup-simplify]: Simplify (+ 0 0) into 0 7.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.517 * [backup-simplify]: Simplify (* 1 1) into 1 7.517 * [backup-simplify]: Simplify (* 1 1) into 1 7.518 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.518 * [backup-simplify]: Simplify 1/8 into 1/8 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.522 * [backup-simplify]: Simplify (+ 0 1) into 1 7.522 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.523 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.524 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 7.526 * [backup-simplify]: Simplify -3/16 into -3/16 7.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.536 * [backup-simplify]: Simplify (+ 0 0) into 0 7.538 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.539 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 7.543 * [backup-simplify]: Simplify 15/64 into 15/64 7.544 * [backup-simplify]: Simplify (+ (* 15/64 (pow x 4)) (+ (* -3/16 (pow x 2)) 1/8)) into (- (+ (* 15/64 (pow x 4)) 1/8) (* 3/16 (pow x 2))) 7.544 * [backup-simplify]: Simplify (/ 1/8 (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x)))) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 7.544 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in (x) around 0 7.544 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 7.544 * [taylor]: Taking taylor expansion of 1/8 in x 7.544 * [backup-simplify]: Simplify 1/8 into 1/8 7.544 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.544 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.544 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.544 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.544 * [taylor]: Taking taylor expansion of 1 in x 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [taylor]: Taking taylor expansion of 1 in x 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.544 * [taylor]: Taking taylor expansion of x in x 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.545 * [backup-simplify]: Simplify (/ 1 1) into 1 7.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.545 * [taylor]: Taking taylor expansion of x in x 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.545 * [backup-simplify]: Simplify (/ 1 1) into 1 7.546 * [backup-simplify]: Simplify (* 1 1) into 1 7.546 * [backup-simplify]: Simplify (+ 0 1) into 1 7.547 * [backup-simplify]: Simplify (sqrt 1) into 1 7.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.549 * [backup-simplify]: Simplify (+ 0 0) into 0 7.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.550 * [backup-simplify]: Simplify (* 1 1) into 1 7.551 * [backup-simplify]: Simplify (* 1 1) into 1 7.551 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.551 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 7.551 * [taylor]: Taking taylor expansion of 1/8 in x 7.551 * [backup-simplify]: Simplify 1/8 into 1/8 7.551 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.551 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.551 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.551 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.551 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.551 * [taylor]: Taking taylor expansion of 1 in x 7.551 * [backup-simplify]: Simplify 1 into 1 7.551 * [taylor]: Taking taylor expansion of 1 in x 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.552 * [taylor]: Taking taylor expansion of x in x 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (/ 1 1) into 1 7.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.552 * [taylor]: Taking taylor expansion of x in x 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [backup-simplify]: Simplify (* 1 1) into 1 7.553 * [backup-simplify]: Simplify (+ 0 1) into 1 7.554 * [backup-simplify]: Simplify (sqrt 1) into 1 7.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.556 * [backup-simplify]: Simplify (+ 0 0) into 0 7.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.557 * [backup-simplify]: Simplify (* 1 1) into 1 7.558 * [backup-simplify]: Simplify (* 1 1) into 1 7.558 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.558 * [backup-simplify]: Simplify 1/8 into 1/8 7.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify (* 1 1) into 1 7.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.564 * [backup-simplify]: Simplify (+ 1 0) into 1 7.565 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.566 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.567 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 7.568 * [backup-simplify]: Simplify -3/16 into -3/16 7.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.572 * [backup-simplify]: Simplify (+ 0 0) into 0 7.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.582 * [backup-simplify]: Simplify (+ 0 0) into 0 7.583 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.585 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 7.589 * [backup-simplify]: Simplify 15/64 into 15/64 7.589 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 x) 7)) (+ (* -3/16 (pow (/ 1 x) 5)) (* 1/8 (pow (/ 1 x) 3)))) into (- (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3)))) (* 3/16 (/ 1 (pow x 5)))) 7.590 * [backup-simplify]: Simplify (/ 1/8 (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x))))) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 7.590 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in (x) around 0 7.590 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 7.590 * [taylor]: Taking taylor expansion of 1/8 in x 7.590 * [backup-simplify]: Simplify 1/8 into 1/8 7.590 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.590 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.590 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.590 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.590 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.590 * [taylor]: Taking taylor expansion of 1 in x 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [taylor]: Taking taylor expansion of 1 in x 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.590 * [taylor]: Taking taylor expansion of -1 in x 7.590 * [backup-simplify]: Simplify -1 into -1 7.590 * [taylor]: Taking taylor expansion of x in x 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (/ -1 1) into -1 7.591 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.591 * [taylor]: Taking taylor expansion of -1 in x 7.591 * [backup-simplify]: Simplify -1 into -1 7.591 * [taylor]: Taking taylor expansion of x in x 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (/ -1 1) into -1 7.592 * [backup-simplify]: Simplify (* -1 -1) into 1 7.592 * [backup-simplify]: Simplify (+ 0 1) into 1 7.593 * [backup-simplify]: Simplify (sqrt 1) into 1 7.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.595 * [backup-simplify]: Simplify (+ 0 0) into 0 7.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.596 * [backup-simplify]: Simplify (* 1 1) into 1 7.597 * [backup-simplify]: Simplify (* 1 1) into 1 7.597 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.597 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 7.597 * [taylor]: Taking taylor expansion of 1/8 in x 7.597 * [backup-simplify]: Simplify 1/8 into 1/8 7.597 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.597 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.597 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.597 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.598 * [taylor]: Taking taylor expansion of 1 in x 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [taylor]: Taking taylor expansion of 1 in x 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.598 * [taylor]: Taking taylor expansion of -1 in x 7.598 * [backup-simplify]: Simplify -1 into -1 7.598 * [taylor]: Taking taylor expansion of x in x 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (/ -1 1) into -1 7.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.598 * [taylor]: Taking taylor expansion of -1 in x 7.598 * [backup-simplify]: Simplify -1 into -1 7.598 * [taylor]: Taking taylor expansion of x in x 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (/ -1 1) into -1 7.599 * [backup-simplify]: Simplify (* -1 -1) into 1 7.600 * [backup-simplify]: Simplify (+ 0 1) into 1 7.600 * [backup-simplify]: Simplify (sqrt 1) into 1 7.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.603 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.603 * [backup-simplify]: Simplify (+ 0 0) into 0 7.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.604 * [backup-simplify]: Simplify (* 1 1) into 1 7.604 * [backup-simplify]: Simplify (* 1 1) into 1 7.605 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.605 * [backup-simplify]: Simplify 1/8 into 1/8 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify (* 1 1) into 1 7.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.611 * [backup-simplify]: Simplify (+ 1 0) into 1 7.612 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.613 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.614 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 7.615 * [backup-simplify]: Simplify -3/16 into -3/16 7.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.620 * [backup-simplify]: Simplify (+ 0 0) into 0 7.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.629 * [backup-simplify]: Simplify (+ 0 0) into 0 7.631 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.632 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 7.636 * [backup-simplify]: Simplify 15/64 into 15/64 7.638 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 (- x)) 7)) (+ (* -3/16 (pow (/ 1 (- x)) 5)) (* 1/8 (pow (/ 1 (- x)) 3)))) into (- (* 3/16 (/ 1 (pow x 5))) (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3))))) 7.638 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 7.638 * [backup-simplify]: Simplify (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) into (pow (hypot 1 x) 3) 7.638 * [approximate]: Taking taylor expansion of (pow (hypot 1 x) 3) in (x) around 0 7.638 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.638 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.638 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.638 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.638 * [taylor]: Taking taylor expansion of 1 in x 7.638 * [backup-simplify]: Simplify 1 into 1 7.638 * [taylor]: Taking taylor expansion of 1 in x 7.638 * [backup-simplify]: Simplify 1 into 1 7.638 * [taylor]: Taking taylor expansion of (* x x) in x 7.638 * [taylor]: Taking taylor expansion of x in x 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 1 into 1 7.639 * [taylor]: Taking taylor expansion of x in x 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [backup-simplify]: Simplify (* 1 1) into 1 7.639 * [backup-simplify]: Simplify (* 0 0) into 0 7.640 * [backup-simplify]: Simplify (+ 1 0) into 1 7.640 * [backup-simplify]: Simplify (sqrt 1) into 1 7.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.642 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.642 * [backup-simplify]: Simplify (+ 0 0) into 0 7.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.643 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.643 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.643 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.643 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.643 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.643 * [taylor]: Taking taylor expansion of 1 in x 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [taylor]: Taking taylor expansion of 1 in x 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [taylor]: Taking taylor expansion of (* x x) in x 7.643 * [taylor]: Taking taylor expansion of x in x 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify 1 into 1 7.643 * [taylor]: Taking taylor expansion of x in x 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify 1 into 1 7.644 * [backup-simplify]: Simplify (* 1 1) into 1 7.644 * [backup-simplify]: Simplify (* 0 0) into 0 7.644 * [backup-simplify]: Simplify (+ 1 0) into 1 7.645 * [backup-simplify]: Simplify (sqrt 1) into 1 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.646 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.647 * [backup-simplify]: Simplify (+ 0 0) into 0 7.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.648 * [backup-simplify]: Simplify (* 1 1) into 1 7.648 * [backup-simplify]: Simplify (* 1 1) into 1 7.648 * [backup-simplify]: Simplify 1 into 1 7.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.652 * [backup-simplify]: Simplify (+ 0 1) into 1 7.653 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.654 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.655 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.655 * [backup-simplify]: Simplify 3/2 into 3/2 7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.658 * [backup-simplify]: Simplify (+ 0 0) into 0 7.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.668 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.671 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.674 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.676 * [backup-simplify]: Simplify 3/8 into 3/8 7.676 * [backup-simplify]: Simplify (+ (* 3/8 (pow x 4)) (+ (* 3/2 (pow x 2)) 1)) into (+ (* 3/2 (pow x 2)) (+ (* 3/8 (pow x 4)) 1)) 7.676 * [backup-simplify]: Simplify (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 3) 7.676 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in (x) around 0 7.677 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.677 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.677 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.677 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.677 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.677 * [taylor]: Taking taylor expansion of 1 in x 7.677 * [backup-simplify]: Simplify 1 into 1 7.677 * [taylor]: Taking taylor expansion of 1 in x 7.677 * [backup-simplify]: Simplify 1 into 1 7.677 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.677 * [taylor]: Taking taylor expansion of x in x 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify 1 into 1 7.677 * [backup-simplify]: Simplify (/ 1 1) into 1 7.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.677 * [taylor]: Taking taylor expansion of x in x 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify 1 into 1 7.678 * [backup-simplify]: Simplify (/ 1 1) into 1 7.678 * [backup-simplify]: Simplify (* 1 1) into 1 7.679 * [backup-simplify]: Simplify (+ 0 1) into 1 7.679 * [backup-simplify]: Simplify (sqrt 1) into 1 7.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.682 * [backup-simplify]: Simplify (+ 0 0) into 0 7.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.682 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.682 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.682 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.682 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.683 * [taylor]: Taking taylor expansion of 1 in x 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [taylor]: Taking taylor expansion of 1 in x 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.683 * [taylor]: Taking taylor expansion of x in x 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [backup-simplify]: Simplify (/ 1 1) into 1 7.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.683 * [taylor]: Taking taylor expansion of x in x 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (/ 1 1) into 1 7.684 * [backup-simplify]: Simplify (* 1 1) into 1 7.684 * [backup-simplify]: Simplify (+ 0 1) into 1 7.685 * [backup-simplify]: Simplify (sqrt 1) into 1 7.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.687 * [backup-simplify]: Simplify (+ 0 0) into 0 7.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.688 * [backup-simplify]: Simplify (* 1 1) into 1 7.689 * [backup-simplify]: Simplify (* 1 1) into 1 7.689 * [backup-simplify]: Simplify 1 into 1 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.690 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify (* 1 1) into 1 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.694 * [backup-simplify]: Simplify (+ 1 0) into 1 7.695 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.696 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.697 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.697 * [backup-simplify]: Simplify 3/2 into 3/2 7.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.701 * [backup-simplify]: Simplify (+ 0 0) into 0 7.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.707 * [backup-simplify]: Simplify (+ 0 0) into 0 7.708 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.709 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.709 * [backup-simplify]: Simplify 3/8 into 3/8 7.710 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 x)) (+ (* 3/2 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 3)))) into (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x)))) 7.710 * [backup-simplify]: Simplify (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))) into (pow (hypot 1 (/ -1 x)) 3) 7.710 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in (x) around 0 7.710 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.710 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.710 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.710 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.710 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.710 * [taylor]: Taking taylor expansion of 1 in x 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [taylor]: Taking taylor expansion of 1 in x 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.710 * [taylor]: Taking taylor expansion of -1 in x 7.710 * [backup-simplify]: Simplify -1 into -1 7.710 * [taylor]: Taking taylor expansion of x in x 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (/ -1 1) into -1 7.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.710 * [taylor]: Taking taylor expansion of -1 in x 7.710 * [backup-simplify]: Simplify -1 into -1 7.710 * [taylor]: Taking taylor expansion of x in x 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.711 * [backup-simplify]: Simplify (/ -1 1) into -1 7.711 * [backup-simplify]: Simplify (* -1 -1) into 1 7.711 * [backup-simplify]: Simplify (+ 0 1) into 1 7.711 * [backup-simplify]: Simplify (sqrt 1) into 1 7.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.713 * [backup-simplify]: Simplify (+ 0 0) into 0 7.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.713 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.714 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.714 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.714 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.714 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.714 * [taylor]: Taking taylor expansion of 1 in x 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [taylor]: Taking taylor expansion of 1 in x 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.714 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.714 * [taylor]: Taking taylor expansion of -1 in x 7.714 * [backup-simplify]: Simplify -1 into -1 7.714 * [taylor]: Taking taylor expansion of x in x 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (/ -1 1) into -1 7.714 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.714 * [taylor]: Taking taylor expansion of -1 in x 7.714 * [backup-simplify]: Simplify -1 into -1 7.714 * [taylor]: Taking taylor expansion of x in x 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (/ -1 1) into -1 7.715 * [backup-simplify]: Simplify (* -1 -1) into 1 7.715 * [backup-simplify]: Simplify (+ 0 1) into 1 7.715 * [backup-simplify]: Simplify (sqrt 1) into 1 7.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.717 * [backup-simplify]: Simplify (* 1 1) into 1 7.718 * [backup-simplify]: Simplify (* 1 1) into 1 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify (* 1 1) into 1 7.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.721 * [backup-simplify]: Simplify (+ 1 0) into 1 7.721 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.722 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.722 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.722 * [backup-simplify]: Simplify 3/2 into 3/2 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.725 * [backup-simplify]: Simplify (+ 0 0) into 0 7.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.729 * [backup-simplify]: Simplify (+ 0 0) into 0 7.730 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.731 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.732 * [backup-simplify]: Simplify 3/8 into 3/8 7.732 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (- x))) (+ (* 3/2 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 3)))) into (- (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x))))) 7.732 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1) 7.732 * [backup-simplify]: Simplify (* (hypot 1 x) (hypot 1 x)) into (pow (hypot 1 x) 2) 7.732 * [approximate]: Taking taylor expansion of (pow (hypot 1 x) 2) in (x) around 0 7.732 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 7.732 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.732 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.732 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.732 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.732 * [taylor]: Taking taylor expansion of 1 in x 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [taylor]: Taking taylor expansion of 1 in x 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [taylor]: Taking taylor expansion of (* x x) in x 7.732 * [taylor]: Taking taylor expansion of x in x 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.732 * [taylor]: Taking taylor expansion of x in x 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 1 into 1 7.733 * [backup-simplify]: Simplify (* 1 1) into 1 7.733 * [backup-simplify]: Simplify (* 0 0) into 0 7.733 * [backup-simplify]: Simplify (+ 1 0) into 1 7.734 * [backup-simplify]: Simplify (sqrt 1) into 1 7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.734 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.735 * [backup-simplify]: Simplify (+ 0 0) into 0 7.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.735 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 7.735 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.735 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.735 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.735 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.735 * [taylor]: Taking taylor expansion of 1 in x 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [taylor]: Taking taylor expansion of 1 in x 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [taylor]: Taking taylor expansion of (* x x) in x 7.735 * [taylor]: Taking taylor expansion of x in x 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [taylor]: Taking taylor expansion of x in x 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [backup-simplify]: Simplify (* 1 1) into 1 7.736 * [backup-simplify]: Simplify (* 0 0) into 0 7.736 * [backup-simplify]: Simplify (+ 1 0) into 1 7.737 * [backup-simplify]: Simplify (sqrt 1) into 1 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.738 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.738 * [backup-simplify]: Simplify (+ 0 0) into 0 7.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.740 * [backup-simplify]: Simplify (* 1 1) into 1 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.740 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.742 * [backup-simplify]: Simplify (+ 0 1) into 1 7.743 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.744 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.745 * [backup-simplify]: Simplify 1 into 1 7.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.747 * [backup-simplify]: Simplify (+ 0 0) into 0 7.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.750 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.753 * [backup-simplify]: Simplify (+ 0 0) into 0 7.754 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.756 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.759 * [backup-simplify]: Simplify (+ 0 0) into 0 7.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.763 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.766 * [backup-simplify]: Simplify (+ 0 0) into 0 7.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.771 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.771 * [backup-simplify]: Simplify 0 into 0 7.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.775 * [backup-simplify]: Simplify (+ 0 0) into 0 7.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/16)) (* 2 (* 1/2 0)) (* 2 (* 0 -1/8)))) (* 2 1)) into 0 7.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/16) (+ (* 1/2 0) (+ (* 0 -1/8) (+ (* -1/8 0) (+ (* 0 1/2) (+ (* 1/16 0) (* 0 1)))))))) into 0 7.781 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 7.785 * [backup-simplify]: Simplify (+ 0 0) into 0 7.787 * [backup-simplify]: Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 1/16)) (* 2 (* 0 0)))) (* 2 1)) into -5/128 7.796 * [backup-simplify]: Simplify (+ (* 1 -5/128) (+ (* 0 0) (+ (* 1/2 1/16) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (+ (* 1/16 1/2) (+ (* 0 0) (* -5/128 1))))))))) into 0 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) 1) into (+ (pow x 2) 1) 7.796 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 2) 7.797 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in (x) around 0 7.797 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 7.797 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.797 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.797 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.797 * [taylor]: Taking taylor expansion of 1 in x 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [taylor]: Taking taylor expansion of 1 in x 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.797 * [taylor]: Taking taylor expansion of x in x 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify (/ 1 1) into 1 7.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.798 * [taylor]: Taking taylor expansion of x in x 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [backup-simplify]: Simplify (* 1 1) into 1 7.799 * [backup-simplify]: Simplify (+ 0 1) into 1 7.799 * [backup-simplify]: Simplify (sqrt 1) into 1 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.802 * [backup-simplify]: Simplify (+ 0 0) into 0 7.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.803 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 7.803 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.803 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.803 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.803 * [taylor]: Taking taylor expansion of 1 in x 7.803 * [backup-simplify]: Simplify 1 into 1 7.803 * [taylor]: Taking taylor expansion of 1 in x 7.803 * [backup-simplify]: Simplify 1 into 1 7.803 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.803 * [taylor]: Taking taylor expansion of x in x 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify 1 into 1 7.804 * [backup-simplify]: Simplify (/ 1 1) into 1 7.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.804 * [taylor]: Taking taylor expansion of x in x 7.804 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify 1 into 1 7.804 * [backup-simplify]: Simplify (/ 1 1) into 1 7.805 * [backup-simplify]: Simplify (* 1 1) into 1 7.805 * [backup-simplify]: Simplify (+ 0 1) into 1 7.805 * [backup-simplify]: Simplify (sqrt 1) into 1 7.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.809 * [backup-simplify]: Simplify (+ 0 0) into 0 7.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.810 * [backup-simplify]: Simplify (* 1 1) into 1 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.814 * [backup-simplify]: Simplify (+ 1 0) into 1 7.815 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.816 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.816 * [backup-simplify]: Simplify 1 into 1 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (+ 0 0) into 0 7.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.827 * [backup-simplify]: Simplify (+ 0 0) into 0 7.829 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.830 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.835 * [backup-simplify]: Simplify (+ 0 0) into 0 7.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.848 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 7.854 * [backup-simplify]: Simplify (+ 0 0) into 0 7.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/16)) (* 2 (* 1/2 0)) (* 2 (* 0 -1/8)))) (* 2 1)) into 0 7.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/16) (+ (* 1/2 0) (+ (* 0 -1/8) (+ (* -1/8 0) (+ (* 0 1/2) (+ (* 1/16 0) (* 0 1)))))))) into 0 7.860 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 7.866 * [backup-simplify]: Simplify (+ 0 0) into 0 7.868 * [backup-simplify]: Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 1/16)) (* 2 (* 0 0)))) (* 2 1)) into -5/128 7.872 * [backup-simplify]: Simplify (+ (* 1 -5/128) (+ (* 0 0) (+ (* 1/2 1/16) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (+ (* 1/16 1/2) (+ (* 0 0) (* -5/128 1))))))))) into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) 1) 7.872 * [backup-simplify]: Simplify (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) into (pow (hypot 1 (/ -1 x)) 2) 7.872 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in (x) around 0 7.872 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 7.873 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.873 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.873 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.873 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.873 * [taylor]: Taking taylor expansion of 1 in x 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of 1 in x 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.873 * [taylor]: Taking taylor expansion of -1 in x 7.873 * [backup-simplify]: Simplify -1 into -1 7.873 * [taylor]: Taking taylor expansion of x in x 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [backup-simplify]: Simplify (/ -1 1) into -1 7.873 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.874 * [taylor]: Taking taylor expansion of -1 in x 7.874 * [backup-simplify]: Simplify -1 into -1 7.874 * [taylor]: Taking taylor expansion of x in x 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (/ -1 1) into -1 7.874 * [backup-simplify]: Simplify (* -1 -1) into 1 7.875 * [backup-simplify]: Simplify (+ 0 1) into 1 7.875 * [backup-simplify]: Simplify (sqrt 1) into 1 7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.878 * [backup-simplify]: Simplify (+ 0 0) into 0 7.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.879 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 7.879 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.879 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.879 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.879 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.879 * [taylor]: Taking taylor expansion of 1 in x 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of 1 in x 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.879 * [taylor]: Taking taylor expansion of -1 in x 7.879 * [backup-simplify]: Simplify -1 into -1 7.879 * [taylor]: Taking taylor expansion of x in x 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (/ -1 1) into -1 7.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.880 * [taylor]: Taking taylor expansion of -1 in x 7.880 * [backup-simplify]: Simplify -1 into -1 7.880 * [taylor]: Taking taylor expansion of x in x 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (/ -1 1) into -1 7.881 * [backup-simplify]: Simplify (* -1 -1) into 1 7.881 * [backup-simplify]: Simplify (+ 0 1) into 1 7.882 * [backup-simplify]: Simplify (sqrt 1) into 1 7.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.885 * [backup-simplify]: Simplify (+ 0 0) into 0 7.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.886 * [backup-simplify]: Simplify (* 1 1) into 1 7.886 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify (* 1 1) into 1 7.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.890 * [backup-simplify]: Simplify (+ 1 0) into 1 7.891 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.892 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.892 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.899 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.904 * [backup-simplify]: Simplify (+ 0 0) into 0 7.905 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.907 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.907 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 7.921 * [backup-simplify]: Simplify (+ 0 0) into 0 7.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.925 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.925 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 7.931 * [backup-simplify]: Simplify (+ 0 0) into 0 7.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/16)) (* 2 (* 1/2 0)) (* 2 (* 0 -1/8)))) (* 2 1)) into 0 7.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/16) (+ (* 1/2 0) (+ (* 0 -1/8) (+ (* -1/8 0) (+ (* 0 1/2) (+ (* 1/16 0) (* 0 1)))))))) into 0 7.937 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 7.949 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [backup-simplify]: Simplify (/ (- 0 (pow -1/8 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 1/16)) (* 2 (* 0 0)))) (* 2 1)) into -5/128 7.956 * [backup-simplify]: Simplify (+ (* 1 -5/128) (+ (* 0 0) (+ (* 1/2 1/16) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (+ (* 1/16 1/2) (+ (* 0 0) (* -5/128 1))))))))) into 0 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) 1) 7.956 * * * [progress]: simplifying candidates 7.956 * * * * [progress]: [ 1 / 141 ] simplifiying candidate # 7.956 * * * * [progress]: [ 2 / 141 ] simplifiying candidate # 7.956 * * * * [progress]: [ 3 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 4 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 5 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 6 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 7 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 8 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 9 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 10 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 11 / 141 ] simplifiying candidate # 7.957 * * * * [progress]: [ 12 / 141 ] simplifiying candidate # 7.958 * * * * [progress]: [ 13 / 141 ] simplifiying candidate # 7.958 * * * * [progress]: [ 14 / 141 ] simplifiying candidate # 7.958 * * * * [progress]: [ 15 / 141 ] simplifiying candidate # 7.958 * * * * [progress]: [ 16 / 141 ] simplifiying candidate # 7.958 * * * * [progress]: [ 17 / 141 ] simplifiying candidate # 7.958 * * * * [progress]: [ 18 / 141 ] simplifiying candidate # 7.958 * * * * [progress]: [ 19 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 20 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 21 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 22 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 23 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 24 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 25 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 26 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 27 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 28 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 29 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 30 / 141 ] simplifiying candidate # 7.959 * * * * [progress]: [ 31 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 32 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 33 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 34 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 35 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 36 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 37 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 38 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 39 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 40 / 141 ] simplifiying candidate # 7.960 * * * * [progress]: [ 41 / 141 ] simplifiying candidate #real (real->posit16 (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 7.960 * * * * [progress]: [ 42 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 43 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 44 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 45 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 46 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 47 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 48 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 49 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 50 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 51 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 52 / 141 ] simplifiying candidate # 7.961 * * * * [progress]: [ 53 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 54 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 55 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 56 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 57 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 58 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 59 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 60 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 61 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 62 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 63 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 64 / 141 ] simplifiying candidate # 7.962 * * * * [progress]: [ 65 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 66 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 67 / 141 ] simplifiying candidate #real (real->posit16 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 7.963 * * * * [progress]: [ 68 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 69 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 70 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 71 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 72 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 73 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 74 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 75 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 76 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 77 / 141 ] simplifiying candidate # 7.963 * * * * [progress]: [ 78 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 79 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 80 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 81 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 82 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 83 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 84 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 85 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 86 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 87 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 88 / 141 ] simplifiying candidate # 7.964 * * * * [progress]: [ 89 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 90 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 91 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 92 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 93 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 94 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 95 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 96 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 97 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 98 / 141 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 7.965 * * * * [progress]: [ 99 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 100 / 141 ] simplifiying candidate # 7.965 * * * * [progress]: [ 101 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 102 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 103 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 104 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 105 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 106 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 107 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 108 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 109 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 110 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 111 / 141 ] simplifiying candidate # 7.966 * * * * [progress]: [ 112 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 113 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 114 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 115 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 116 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 117 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 118 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 119 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 120 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 121 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 122 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 123 / 141 ] simplifiying candidate # 7.967 * * * * [progress]: [ 124 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 125 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 126 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 127 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 128 / 141 ] simplifiying candidate #real (real->posit16 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 7.968 * * * * [progress]: [ 129 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 130 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 131 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 132 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 133 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 134 / 141 ] simplifiying candidate # 7.968 * * * * [progress]: [ 135 / 141 ] simplifiying candidate # 7.969 * * * * [progress]: [ 136 / 141 ] simplifiying candidate # 7.969 * * * * [progress]: [ 137 / 141 ] simplifiying candidate # 7.969 * * * * [progress]: [ 138 / 141 ] simplifiying candidate # 7.969 * * * * [progress]: [ 139 / 141 ] simplifiying candidate # 7.969 * * * * [progress]: [ 140 / 141 ] simplifiying candidate # 7.969 * * * * [progress]: [ 141 / 141 ] simplifiying candidate # 7.971 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))), (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma (- (sqrt (/ 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)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* 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(pow x 2) 1) 7.976 * * [simplify]: iteration 1: (209 enodes) 8.099 * * [simplify]: iteration 2: (917 enodes) 8.500 * * [simplify]: Extracting #0: cost 87 inf + 0 8.502 * * [simplify]: Extracting #1: cost 407 inf + 4 8.508 * * [simplify]: Extracting #2: cost 534 inf + 14003 8.539 * * [simplify]: Extracting #3: cost 207 inf + 87109 8.579 * * [simplify]: Extracting #4: cost 58 inf + 114605 8.612 * * [simplify]: Extracting #5: cost 18 inf + 123847 8.658 * * [simplify]: Extracting #6: cost 2 inf + 131176 8.691 * * [simplify]: Extracting #7: cost 0 inf + 132184 8.726 * [simplify]: Simplified to (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 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(exp (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (* (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)), (* (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)), (* (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (* (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)), (* (* (fma x x 1) (fma x x 1)) (fma x x 1)), (sqrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (sqrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (* (hypot 1 x) (sqrt (hypot 1 x))), (* (hypot 1 x) (sqrt (hypot 1 x))), (* (* (hypot 1 x) (cbrt (hypot 1 x))) (* (hypot 1 x) (cbrt (hypot 1 x)))), (* (* (hypot 1 x) (hypot 1 x)) (sqrt (hypot 1 x))), (* (hypot 1 x) (hypot 1 x)), (* (hypot 1 x) (hypot 1 x)), (real->posit16 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (expm1 (* (hypot 1 x) (hypot 1 x))), (log1p (* (hypot 1 x) (hypot 1 x))), 2, (* (hypot 1 x) (hypot 1 x)), 2, (log (* (hypot 1 x) (hypot 1 x))), (log (* (hypot 1 x) (hypot 1 x))), (exp (* (hypot 1 x) (hypot 1 x))), (* (* (hypot 1 x) (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))), (* (cbrt (* (hypot 1 x) (hypot 1 x))) (cbrt (* (hypot 1 x) (hypot 1 x)))), (cbrt (* (hypot 1 x) (hypot 1 x))), (* (* (hypot 1 x) (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))), (* (fma x x 1) (fma x x 1)), (fabs (hypot 1 x)), (fabs (hypot 1 x)), (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))), (hypot 1 x), (hypot 1 x), 1, (* (hypot 1 x) (hypot 1 x)), (hypot 1 x), (hypot 1 x), 2, (* (* (hypot 1 x) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))), (* (hypot 1 x) (sqrt (hypot 1 x))), (hypot 1 x), (* (hypot 1 x) (cbrt (hypot 1 x))), (* (hypot 1 x) (sqrt (hypot 1 x))), (* (hypot 1 x) (hypot 1 x)), (real->posit16 (* (hypot 1 x) (hypot 1 x))), (fma 3/16 (* x x) (fma 35/128 (* (* (* x x) x) (* (* x x) x)) (* -15/64 (* (* x x) (* x x))))), (- (+ 1/8 (/ 3/16 (pow x 5))) (/ 1/8 (* (* x x) x))), (+ (+ 1/8 (/ -3/16 (pow x 5))) (/ 1/8 (* (* x x) x))), (fma 15/64 (* (* x x) (* x x)) (+ 1/8 (* (* x x) -3/16))), (- (+ (/ 1/8 (* (* x x) x)) (/ 15/64 (pow x 7))) (/ 3/16 (pow x 5))), (- (- (/ 3/16 (pow x 5)) (/ 1/8 (* (* x x) x))) (/ 15/64 (pow x 7))), (fma 3/2 (* x x) (fma 3/8 (* (* x x) (* x x)) 1)), (fma 3/2 x (fma (* x x) x (/ 3/8 x))), (- (* -3/2 x) (fma (* x x) x (/ 3/8 x))), (fma x x 1), (fma x x 1), (fma x x 1) 8.726 * * * * [progress]: [ 1 / 141 ] simplifiying candidate # 8.726 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.726 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.727 * * * * [progress]: [ 2 / 141 ] simplifiying candidate # 8.727 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (sqrt (/ 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)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.727 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.727 * * * * [progress]: [ 3 / 141 ] simplifiying candidate # 8.727 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- (* (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8)) (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x)))) (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.728 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (+ (- (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.728 * * * * [progress]: [ 4 / 141 ] simplifiying candidate # 8.728 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.728 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.728 * * * * [progress]: [ 5 / 141 ] simplifiying candidate # 8.728 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.728 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.729 * * * * [progress]: [ 6 / 141 ] simplifiying candidate # 8.729 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.729 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.729 * * * * [progress]: [ 7 / 141 ] simplifiying candidate # 8.729 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.729 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.729 * * * * [progress]: [ 8 / 141 ] simplifiying candidate # 8.729 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.730 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.730 * * * * [progress]: [ 9 / 141 ] simplifiying candidate # 8.730 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (sqrt (/ 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)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.730 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.730 * * * * [progress]: [ 10 / 141 ] simplifiying candidate # 8.730 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (+ 1/8 (- (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x))))) (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.731 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (+ (- (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.731 * * * * [progress]: [ 11 / 141 ] simplifiying candidate # 8.731 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.731 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.731 * * * * [progress]: [ 12 / 141 ] simplifiying candidate # 8.731 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.731 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.732 * * * * [progress]: [ 13 / 141 ] simplifiying candidate # 8.732 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.732 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.732 * * * * [progress]: [ 14 / 141 ] simplifiying candidate # 8.732 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.732 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.732 * * * * [progress]: [ 15 / 141 ] simplifiying candidate # 8.732 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.733 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma 1 1/8 (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.733 * * * * [progress]: [ 16 / 141 ] simplifiying candidate # 8.733 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (sqrt (/ 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)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.733 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma 1 1/8 (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.733 * * * * [progress]: [ 17 / 141 ] simplifiying candidate # 8.734 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (+ 1/8 (- (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x))))) (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.734 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma 1 1/8 (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))) (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (+ (- (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.734 * * * * [progress]: [ 18 / 141 ] simplifiying candidate # 8.734 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.734 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma 1 1/8 (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.734 * * * * [progress]: [ 19 / 141 ] simplifiying candidate # 8.734 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.735 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.735 * * * * [progress]: [ 20 / 141 ] simplifiying candidate # 8.735 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.735 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma 1 1/8 (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.735 * * * * [progress]: [ 21 / 141 ] simplifiying candidate # 8.735 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (+ (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.735 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ (fma 1 1/8 (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) -1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.735 * * * * [progress]: [ 22 / 141 ] simplifiying candidate # 8.735 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (log1p (expm1 (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.736 * * * * [progress]: [ 23 / 141 ] simplifiying candidate # 8.736 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (expm1 (log1p (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.736 * * * * [progress]: [ 24 / 141 ] simplifiying candidate # 8.736 * [simplify]: Simplified (2 1 1 3) to (λ (x) (/ (/ (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.736 * * * * [progress]: [ 25 / 141 ] simplifiying candidate # 8.736 * [simplify]: Simplified (2 1 1 3) to (λ (x) (/ (/ (fma (sqrt 1/8) (sqrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.736 * * * * [progress]: [ 26 / 141 ] simplifiying candidate # 8.736 * [simplify]: Simplified (2 1 1 3) to (λ (x) (/ (/ (fma 1 1/8 (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.736 * * * * [progress]: [ 27 / 141 ] simplifiying candidate # 8.736 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (log (exp (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.736 * * * * [progress]: [ 28 / 141 ] simplifiying candidate # 8.736 * * * * [progress]: [ 29 / 141 ] simplifiying candidate # 8.737 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (exp (log (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.737 * * * * [progress]: [ 30 / 141 ] simplifiying candidate # 8.737 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (log (exp (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.737 * * * * [progress]: [ 31 / 141 ] simplifiying candidate # 8.737 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (* (* (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (cbrt (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.737 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (* (* (cbrt (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (cbrt (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (cbrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.737 * * * * [progress]: [ 32 / 141 ] simplifiying candidate # 8.737 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (cbrt (* (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (* (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.737 * * * * [progress]: [ 33 / 141 ] simplifiying candidate # 8.737 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (* (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (sqrt (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.738 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (* (sqrt (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.738 * * * * [progress]: [ 34 / 141 ] simplifiying candidate # 8.738 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (/ (- 1/512 (* (* (/ (/ 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 1/8) (+ (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.738 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (/ (- 1/512 (* (* (/ (/ 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))))) (fma (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (+ (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) 1/8) 1/64)) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.738 * * * * [progress]: [ 35 / 141 ] simplifiying candidate # 8.738 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ 1/8 (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.738 * * * * [progress]: [ 36 / 141 ] simplifiying candidate # 8.738 * * * * [progress]: [ 37 / 141 ] simplifiying candidate # 8.738 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (/ (- 1/64 (* (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (+ 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.739 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (/ (- (* 1/8 1/8) (* (/ 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)) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.739 * * * * [progress]: [ 38 / 141 ] simplifiying candidate # 8.739 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (* (+ (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt 1/8)) (- (sqrt 1/8) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.739 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (* (+ (sqrt 1/8) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (- (sqrt 1/8) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.739 * * * * [progress]: [ 39 / 141 ] simplifiying candidate # 8.739 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (* 1 (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.739 * * * * [progress]: [ 40 / 141 ] simplifiying candidate # 8.739 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (+ 1/8 (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.739 * * * * [progress]: [ 41 / 141 ] simplifiying candidate #real (real->posit16 (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.739 * [simplify]: Simplified (2 1 1 1) to (λ (x) (/ (/ (posit16->real (real->posit16 (- 1/8 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.740 * * * * [progress]: [ 42 / 141 ] simplifiying candidate # 8.740 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (log1p (expm1 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.740 * * * * [progress]: [ 43 / 141 ] simplifiying candidate # 8.740 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (expm1 (log1p (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.740 * * * * [progress]: [ 44 / 141 ] simplifiying candidate # 8.740 * * * * [progress]: [ 45 / 141 ] simplifiying candidate # 8.740 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (exp (log (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.740 * * * * [progress]: [ 46 / 141 ] simplifiying candidate # 8.740 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (exp (log (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.740 * * * * [progress]: [ 47 / 141 ] simplifiying candidate # 8.740 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (exp (log (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.740 * * * * [progress]: [ 48 / 141 ] simplifiying candidate # 8.740 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (exp (log (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.741 * * * * [progress]: [ 49 / 141 ] simplifiying candidate # 8.741 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (log (exp (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.741 * * * * [progress]: [ 50 / 141 ] simplifiying candidate # 8.741 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (cbrt (* (* (/ (/ 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)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.741 * * * * [progress]: [ 51 / 141 ] simplifiying candidate # 8.741 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (cbrt (* (* (/ (/ 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)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.741 * * * * [progress]: [ 52 / 141 ] simplifiying candidate # 8.741 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (cbrt (* (* (/ (/ 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)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.741 * * * * [progress]: [ 53 / 141 ] simplifiying candidate # 8.741 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (* (* (cbrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.742 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (* (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (cbrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.742 * * * * [progress]: [ 54 / 141 ] simplifiying candidate # 8.742 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (cbrt (* (* (/ (/ 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)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.742 * * * * [progress]: [ 55 / 141 ] simplifiying candidate # 8.742 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (* (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.742 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.742 * * * * [progress]: [ 56 / 141 ] simplifiying candidate # 8.742 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (/ -1/8 (- (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.742 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ -1/8 (* (- (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.743 * * * * [progress]: [ 57 / 141 ] simplifiying candidate # 8.743 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.743 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.743 * * * * [progress]: [ 58 / 141 ] simplifiying candidate # 8.743 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (* (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (sqrt 1/8) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.743 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (* (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (/ (sqrt 1/8) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.743 * * * * [progress]: [ 59 / 141 ] simplifiying candidate # 8.743 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (* (/ 1 (* (hypot 1 x) (hypot 1 x))) (/ 1/8 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.743 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (* (/ 1 (* (hypot 1 x) (hypot 1 x))) (/ 1/8 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.743 * * * * [progress]: [ 60 / 141 ] simplifiying candidate # 8.743 * * * * [progress]: [ 61 / 141 ] simplifiying candidate # 8.743 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (* 1/8 (/ (/ 1 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.744 * * * * [progress]: [ 62 / 141 ] simplifiying candidate # 8.744 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1 (/ (hypot 1 x) (/ 1/8 (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.744 * * * * [progress]: [ 63 / 141 ] simplifiying candidate # 8.744 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.744 * * * * [progress]: [ 64 / 141 ] simplifiying candidate # 8.744 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ (* (cbrt 1/8) (cbrt 1/8)) (/ (* (hypot 1 x) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.744 * * * * [progress]: [ 65 / 141 ] simplifiying candidate # 8.744 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ (sqrt 1/8) (/ (hypot 1 x) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.744 * * * * [progress]: [ 66 / 141 ] simplifiying candidate # 8.744 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1 (/ (hypot 1 x) (/ 1/8 (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.744 * * * * [progress]: [ 67 / 141 ] simplifiying candidate #real (real->posit16 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.744 * [simplify]: Simplified (2 1 1 2 1) to (λ (x) (/ (/ (- 1/8 (posit16->real (real->posit16 (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.745 * * * * [progress]: [ 68 / 141 ] simplifiying candidate # 8.745 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (log1p (expm1 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.745 * * * * [progress]: [ 69 / 141 ] simplifiying candidate # 8.745 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (expm1 (log1p (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.745 * * * * [progress]: [ 70 / 141 ] simplifiying candidate # 8.745 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.745 * * * * [progress]: [ 71 / 141 ] simplifiying candidate # 8.745 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.745 * * * * [progress]: [ 72 / 141 ] simplifiying candidate # 8.745 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.745 * * * * [progress]: [ 73 / 141 ] simplifiying candidate # 8.745 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.745 * * * * [progress]: [ 74 / 141 ] simplifiying candidate # 8.745 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) 1))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.746 * * * * [progress]: [ 75 / 141 ] simplifiying candidate # 8.746 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))) 1))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.746 * * * * [progress]: [ 76 / 141 ] simplifiying candidate # 8.746 * * * * [progress]: [ 77 / 141 ] simplifiying candidate # 8.746 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.746 * * * * [progress]: [ 78 / 141 ] simplifiying candidate # 8.746 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.746 * * * * [progress]: [ 79 / 141 ] simplifiying candidate # 8.746 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.746 * * * * [progress]: [ 80 / 141 ] simplifiying candidate # 8.746 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (pow (hypot 1 x) 3))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.746 * * * * [progress]: [ 81 / 141 ] simplifiying candidate # 8.746 * * * * [progress]: [ 82 / 141 ] simplifiying candidate # 8.746 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (exp (log (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.747 * * * * [progress]: [ 83 / 141 ] simplifiying candidate # 8.747 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (exp (log (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.747 * * * * [progress]: [ 84 / 141 ] simplifiying candidate # 8.747 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (exp (log (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.747 * * * * [progress]: [ 85 / 141 ] simplifiying candidate # 8.747 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (log (exp (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.747 * * * * [progress]: [ 86 / 141 ] simplifiying candidate # 8.747 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (cbrt (* (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.747 * * * * [progress]: [ 87 / 141 ] simplifiying candidate # 8.747 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (cbrt (* (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.747 * * * * [progress]: [ 88 / 141 ] simplifiying candidate # 8.748 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (cbrt (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.748 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (cbrt (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (cbrt (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.748 * * * * [progress]: [ 89 / 141 ] simplifiying candidate # 8.748 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (cbrt (* (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.748 * * * * [progress]: [ 90 / 141 ] simplifiying candidate # 8.748 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (sqrt (* (* (fma x x 1) (fma x x 1)) (fma x x 1))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.748 * * * * [progress]: [ 91 / 141 ] simplifiying candidate # 8.748 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (sqrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (sqrt (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.748 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (sqrt (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (sqrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.749 * * * * [progress]: [ 92 / 141 ] simplifiying candidate # 8.749 * * * * [progress]: [ 93 / 141 ] simplifiying candidate # 8.749 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (sqrt (hypot 1 x))) (* (hypot 1 x) (sqrt (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.749 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (sqrt (hypot 1 x))) (* (hypot 1 x) (sqrt (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.749 * * * * [progress]: [ 94 / 141 ] simplifiying candidate # 8.749 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (hypot 1 x) (cbrt (hypot 1 x))) (* (hypot 1 x) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.749 * * * * [progress]: [ 95 / 141 ] simplifiying candidate # 8.749 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (hypot 1 x) (hypot 1 x)) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.749 * * * * [progress]: [ 96 / 141 ] simplifiying candidate # 8.749 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.749 * * * * [progress]: [ 97 / 141 ] simplifiying candidate # 8.749 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.749 * * * * [progress]: [ 98 / 141 ] simplifiying candidate #real (real->posit16 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.750 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (posit16->real (real->posit16 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.750 * * * * [progress]: [ 99 / 141 ] simplifiying candidate # 8.750 * * * * [progress]: [ 100 / 141 ] simplifiying candidate # 8.750 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (log1p (expm1 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.750 * * * * [progress]: [ 101 / 141 ] simplifiying candidate # 8.750 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (expm1 (log1p (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.750 * * * * [progress]: [ 102 / 141 ] simplifiying candidate # 8.750 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (pow (hypot 1 x) 2) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.750 * * * * [progress]: [ 103 / 141 ] simplifiying candidate # 8.750 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (pow (* (hypot 1 x) (hypot 1 x)) 1) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.750 * * * * [progress]: [ 104 / 141 ] simplifiying candidate # 8.750 * * * * [progress]: [ 105 / 141 ] simplifiying candidate # 8.750 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (pow (hypot 1 x) 2) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.751 * * * * [progress]: [ 106 / 141 ] simplifiying candidate # 8.751 * * * * [progress]: [ 107 / 141 ] simplifiying candidate # 8.751 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (exp (log (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.751 * * * * [progress]: [ 108 / 141 ] simplifiying candidate # 8.751 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (exp (log (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.751 * * * * [progress]: [ 109 / 141 ] simplifiying candidate # 8.751 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (log (exp (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.751 * * * * [progress]: [ 110 / 141 ] simplifiying candidate # 8.751 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (cbrt (* (* (hypot 1 x) (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.751 * * * * [progress]: [ 111 / 141 ] simplifiying candidate # 8.751 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (cbrt (* (hypot 1 x) (hypot 1 x))) (cbrt (* (hypot 1 x) (hypot 1 x)))) (cbrt (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.751 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (cbrt (* (hypot 1 x) (hypot 1 x))) (cbrt (* (hypot 1 x) (hypot 1 x)))) (cbrt (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.752 * * * * [progress]: [ 112 / 141 ] simplifiying candidate # 8.752 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (cbrt (* (* (hypot 1 x) (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.752 * * * * [progress]: [ 113 / 141 ] simplifiying candidate # 8.752 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (sqrt (* (fma x x 1) (fma x x 1))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.752 * * * * [progress]: [ 114 / 141 ] simplifiying candidate # 8.752 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (fabs (hypot 1 x)) (sqrt (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.752 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (sqrt (* (hypot 1 x) (hypot 1 x))) (fabs (hypot 1 x))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.752 * * * * [progress]: [ 115 / 141 ] simplifiying candidate # 8.752 * * * * [progress]: [ 116 / 141 ] simplifiying candidate # 8.752 * * * * [progress]: [ 117 / 141 ] simplifiying candidate # 8.752 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * * * * [progress]: [ 118 / 141 ] simplifiying candidate # 8.753 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x))) (hypot 1 x)) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * * * * [progress]: [ 119 / 141 ] simplifiying candidate # 8.753 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* 1 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* 1 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * * * * [progress]: [ 120 / 141 ] simplifiying candidate # 8.753 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (sqrt (hypot 1 x)) (sqrt (hypot 1 x))) (hypot 1 x)) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.753 * * * * [progress]: [ 121 / 141 ] simplifiying candidate # 8.754 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (pow (hypot 1 x) 2) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.754 * * * * [progress]: [ 122 / 141 ] simplifiying candidate # 8.754 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (* (hypot 1 x) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.754 * * * * [progress]: [ 123 / 141 ] simplifiying candidate # 8.754 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (hypot 1 x) (sqrt (hypot 1 x))) (sqrt (hypot 1 x))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.754 * * * * [progress]: [ 124 / 141 ] simplifiying candidate # 8.754 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.754 * * * * [progress]: [ 125 / 141 ] simplifiying candidate # 8.754 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (* (hypot 1 x) (cbrt (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.754 * * * * [progress]: [ 126 / 141 ] simplifiying candidate # 8.754 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* (sqrt (hypot 1 x)) (* (hypot 1 x) (sqrt (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.754 * * * * [progress]: [ 127 / 141 ] simplifiying candidate # 8.755 * [simplify]: Simplified (2 1 1 2 2 1 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (* 1 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.755 * * * * [progress]: [ 128 / 141 ] simplifiying candidate #real (real->posit16 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.755 * [simplify]: Simplified (2 1 1 2 2 1 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (posit16->real (real->posit16 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.755 * * * * [progress]: [ 129 / 141 ] simplifiying candidate # 8.755 * * * * [progress]: [ 130 / 141 ] simplifiying candidate # 8.755 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (/ (fma 3/16 (* x x) (fma 35/128 (* (* (* x x) x) (* (* x x) x)) (* -15/64 (* (* x x) (* x x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.755 * * * * [progress]: [ 131 / 141 ] simplifiying candidate # 8.755 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (/ (- (+ 1/8 (/ 3/16 (pow x 5))) (/ 1/8 (* (* x x) x))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.755 * * * * [progress]: [ 132 / 141 ] simplifiying candidate # 8.755 * [simplify]: Simplified (2 1 1) to (λ (x) (/ (/ (+ (+ 1/8 (/ -3/16 (pow x 5))) (/ 1/8 (* (* x x) x))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.755 * * * * [progress]: [ 133 / 141 ] simplifiying candidate # 8.755 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (- 1/8 (fma 15/64 (* (* x x) (* x x)) (+ 1/8 (* (* x x) -3/16)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.755 * * * * [progress]: [ 134 / 141 ] simplifiying candidate # 8.756 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (- 1/8 (- (+ (/ 1/8 (* (* x x) x)) (/ 15/64 (pow x 7))) (/ 3/16 (pow x 5)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.756 * * * * [progress]: [ 135 / 141 ] simplifiying candidate # 8.756 * [simplify]: Simplified (2 1 1 2) to (λ (x) (/ (/ (- 1/8 (- (- (/ 3/16 (pow x 5)) (/ 1/8 (* (* x x) x))) (/ 15/64 (pow x 7)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.756 * * * * [progress]: [ 136 / 141 ] simplifiying candidate # 8.756 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (fma 3/2 (* x x) (fma 3/8 (* (* x x) (* x x)) 1)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.756 * * * * [progress]: [ 137 / 141 ] simplifiying candidate # 8.756 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (fma 3/2 x (fma (* x x) x (/ 3/8 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.756 * * * * [progress]: [ 138 / 141 ] simplifiying candidate # 8.756 * [simplify]: Simplified (2 1 1 2 2) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (- (* -3/2 x) (fma (* x x) x (/ 3/8 x))))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.756 * * * * [progress]: [ 139 / 141 ] simplifiying candidate # 8.756 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (fma x x 1) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.756 * * * * [progress]: [ 140 / 141 ] simplifiying candidate # 8.757 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (fma x x 1) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.757 * * * * [progress]: [ 141 / 141 ] simplifiying candidate # 8.757 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (x) (/ (/ (- 1/8 (/ 1/8 (* (fma x x 1) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) 8.757 * * * [progress]: adding candidates to table 10.580 * [progress]: [Phase 3 of 3] Extracting. 10.581 * * [regime]: Finding splitpoints for: (# # # #) 10.586 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 10.586 * * * * [regimes]: Trying to branch on x from (# # # #) 10.624 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 10.684 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 10.723 * * * [regime]: Found split indices: #