37.455 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.105 * [progress]: [Phase 2 of 3] Improving. 0.105 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.106 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.106 * * [simplify]: iteration 1: (9 enodes) 0.110 * * [simplify]: iteration 2: (19 enodes) 0.116 * * [simplify]: iteration 3: (23 enodes) 0.121 * * [simplify]: iteration 4: (25 enodes) 0.127 * * [simplify]: Extracting #0: cost 1 inf + 0 0.127 * * [simplify]: Extracting #1: cost 4 inf + 0 0.127 * * [simplify]: Extracting #2: cost 4 inf + 1 0.127 * * [simplify]: Extracting #3: cost 8 inf + 1 0.127 * * [simplify]: Extracting #4: cost 8 inf + 2 0.127 * * [simplify]: Extracting #5: cost 9 inf + 2 0.127 * * [simplify]: Extracting #6: cost 0 inf + 1204 0.128 * * [simplify]: Extracting #7: cost 0 inf + 1144 0.128 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.139 * * [progress]: iteration 1 / 4 0.139 * * * [progress]: picking best candidate 0.143 * * * * [pick]: Picked # 0.143 * * * [progress]: localizing error 0.194 * * * [progress]: generating rewritten candidates 0.194 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.243 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.243 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.256 * * * [progress]: generating series expansions 0.256 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.256 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.256 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.256 * [taylor]: Taking taylor expansion of 1 in x 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of 1/2 in x 0.257 * [backup-simplify]: Simplify 1/2 into 1/2 0.257 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.257 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.257 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.257 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of 1 in x 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (* x x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (* 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (sqrt 1) into 1 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of 1/2 in x 0.260 * [backup-simplify]: Simplify 1/2 into 1/2 0.260 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.260 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.261 * [backup-simplify]: Simplify (sqrt 1) into 1 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.262 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.262 * [taylor]: Taking taylor expansion of 1 in x 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.262 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of 1/2 in x 0.262 * [backup-simplify]: Simplify 1/2 into 1/2 0.262 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.262 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.262 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.262 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.262 * [taylor]: Taking taylor expansion of 1 in x 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of 1 in x 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (* x x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (* 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (sqrt 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of 1/2 in x 0.265 * [backup-simplify]: Simplify 1/2 into 1/2 0.266 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.266 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.266 * [backup-simplify]: Simplify (sqrt 1) into 1 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.268 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.268 * [backup-simplify]: Simplify 0 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 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.270 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.277 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.278 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.279 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.279 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.279 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.280 * [backup-simplify]: Simplify 1/8 into 1/8 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.300 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.301 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.303 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.303 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.304 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.304 * [backup-simplify]: Simplify -11/128 into -11/128 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.325 * [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 0.328 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.328 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.330 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.331 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.331 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.331 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.332 * [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))) 0.332 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) 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 0.332 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.332 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (* 1 1) 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 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 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 x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [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 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of 1/2 in x 0.338 * [backup-simplify]: Simplify 1/2 into 1/2 0.339 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.339 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.340 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.340 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.342 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.342 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.342 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.342 * [taylor]: Taking taylor expansion of 1/2 in x 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.342 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.342 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ 0 1) into 1 0.344 * [backup-simplify]: Simplify (sqrt 1) into 1 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of 1/2 in x 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.349 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.349 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.350 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.352 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.352 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.354 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.355 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.357 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.360 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.363 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.373 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.377 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.379 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.385 * [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))) 0.385 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.385 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.385 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of 1/2 in x 0.385 * [backup-simplify]: Simplify 1/2 into 1/2 0.385 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.385 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.385 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [backup-simplify]: Simplify -1 into -1 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ -1 1) into -1 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [backup-simplify]: Simplify -1 into -1 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (/ -1 1) into -1 0.387 * [backup-simplify]: Simplify (* -1 -1) into 1 0.387 * [backup-simplify]: Simplify (+ 0 1) into 1 0.388 * [backup-simplify]: Simplify (sqrt 1) into 1 0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of 1/2 in x 0.392 * [backup-simplify]: Simplify 1/2 into 1/2 0.392 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.393 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.393 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.394 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.395 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.395 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.395 * [taylor]: Taking taylor expansion of 1 in x 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.395 * [taylor]: Taking taylor expansion of 1/2 in x 0.395 * [backup-simplify]: Simplify 1/2 into 1/2 0.395 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ -1 1) into -1 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [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 0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of 1/2 in x 0.402 * [backup-simplify]: Simplify 1/2 into 1/2 0.403 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.403 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.404 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.404 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.406 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.406 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.408 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.409 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.410 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.414 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.416 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.424 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.426 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.428 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.431 * [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)) 0.431 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.431 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.431 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.431 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.431 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.431 * [taylor]: Taking taylor expansion of 1 in x 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [taylor]: Taking taylor expansion of 1 in x 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [taylor]: Taking taylor expansion of (* x x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (* 0 0) into 0 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.432 * [backup-simplify]: Simplify (sqrt 1) into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.434 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.434 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.434 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.434 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (* x x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (* 0 0) into 0 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (sqrt 1) into 1 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.438 * [backup-simplify]: Simplify (+ 0 1) into 1 0.439 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.439 * [backup-simplify]: Simplify 1/2 into 1/2 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.444 * [backup-simplify]: Simplify -1/8 into -1/8 0.444 * [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))) 0.444 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.444 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.444 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.444 * [taylor]: Taking taylor expansion of 1 in x 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [taylor]: Taking taylor expansion of 1 in x 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (+ 0 1) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.450 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.450 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.450 * [taylor]: Taking taylor expansion of 1 in x 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [taylor]: Taking taylor expansion of 1 in x 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (+ 0 1) into 1 0.453 * [backup-simplify]: Simplify (sqrt 1) into 1 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.461 * [backup-simplify]: Simplify 1/2 into 1/2 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.473 * [backup-simplify]: Simplify -1/8 into -1/8 0.473 * [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)))) 0.473 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.473 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.473 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.473 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.473 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.473 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [backup-simplify]: Simplify -1 into -1 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ -1 1) into -1 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [backup-simplify]: Simplify -1 into -1 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ -1 1) into -1 0.475 * [backup-simplify]: Simplify (* -1 -1) into 1 0.475 * [backup-simplify]: Simplify (+ 0 1) into 1 0.476 * [backup-simplify]: Simplify (sqrt 1) into 1 0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.479 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ -1 1) into -1 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.480 * [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 0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.490 * [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 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.502 * [backup-simplify]: Simplify -1/8 into -1/8 0.503 * [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)))) 0.503 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.503 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.503 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (/ 1/2 (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 (hypot 1 x) in x 0.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.503 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.503 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.503 * [taylor]: Taking taylor expansion of 1 in x 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of 1 in x 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of (* x x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [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 0.504 * [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 0.506 * [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 (/ 1/2 1) into 1/2 0.508 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of 1/2 in x 0.508 * [backup-simplify]: Simplify 1/2 into 1/2 0.508 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.508 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.508 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.508 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.508 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of (* x x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (* 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ 1 0) into 1 0.510 * [backup-simplify]: Simplify (sqrt 1) into 1 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.513 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.513 * [backup-simplify]: Simplify 1/2 into 1/2 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.517 * [backup-simplify]: Simplify (+ 0 1) into 1 0.518 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.519 * [backup-simplify]: Simplify -1/4 into -1/4 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.530 * [backup-simplify]: Simplify 3/16 into 3/16 0.530 * [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))) 0.531 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.531 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of 1/2 in x 0.531 * [backup-simplify]: Simplify 1/2 into 1/2 0.531 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (+ 0 1) into 1 0.533 * [backup-simplify]: Simplify (sqrt 1) into 1 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.537 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.537 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of 1/2 in x 0.537 * [backup-simplify]: Simplify 1/2 into 1/2 0.537 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.537 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.537 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of 1 in x 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (+ 0 1) into 1 0.539 * [backup-simplify]: Simplify (sqrt 1) into 1 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.543 * [backup-simplify]: Simplify 1/2 into 1/2 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.552 * [backup-simplify]: Simplify -1/4 into -1/4 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.567 * [backup-simplify]: Simplify 3/16 into 3/16 0.567 * [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)))) 0.568 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.568 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.568 * [taylor]: Taking taylor expansion of 1/2 in x 0.568 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.568 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.568 * [taylor]: Taking taylor expansion of 1 in x 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of 1 in x 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [backup-simplify]: Simplify -1 into -1 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (/ -1 1) into -1 0.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.569 * [taylor]: Taking taylor expansion of -1 in x 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (/ -1 1) into -1 0.570 * [backup-simplify]: Simplify (* -1 -1) into 1 0.570 * [backup-simplify]: Simplify (+ 0 1) into 1 0.571 * [backup-simplify]: Simplify (sqrt 1) into 1 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.574 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.574 * [taylor]: Taking taylor expansion of 1/2 in x 0.574 * [backup-simplify]: Simplify 1/2 into 1/2 0.574 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.575 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.575 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.575 * [taylor]: Taking taylor expansion of -1 in x 0.575 * [backup-simplify]: Simplify -1 into -1 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (/ -1 1) into -1 0.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.575 * [taylor]: Taking taylor expansion of -1 in x 0.575 * [backup-simplify]: Simplify -1 into -1 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ -1 1) into -1 0.576 * [backup-simplify]: Simplify (* -1 -1) into 1 0.577 * [backup-simplify]: Simplify (+ 0 1) into 1 0.577 * [backup-simplify]: Simplify (sqrt 1) into 1 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.581 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.581 * [backup-simplify]: Simplify 1/2 into 1/2 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.586 * [backup-simplify]: Simplify (+ 1 0) into 1 0.587 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.588 * [backup-simplify]: Simplify -1/4 into -1/4 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.604 * [backup-simplify]: Simplify 3/16 into 3/16 0.604 * [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)))) 0.604 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.605 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.605 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.605 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.605 * [taylor]: Taking taylor expansion of 1/2 in x 0.605 * [backup-simplify]: Simplify 1/2 into 1/2 0.605 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.605 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.605 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.605 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.605 * [taylor]: Taking taylor expansion of 1 in x 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of 1 in x 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of (* x x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (* 0 0) into 0 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.607 * [backup-simplify]: Simplify (sqrt 1) into 1 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [backup-simplify]: Simplify 1/2 into 1/2 0.610 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.611 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.611 * [backup-simplify]: Simplify (sqrt 1) into 1 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.615 * [taylor]: Taking taylor expansion of 1/2 in x 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.615 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.615 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of (* x x) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (* 0 0) into 0 0.617 * [backup-simplify]: Simplify (+ 1 0) into 1 0.617 * [backup-simplify]: Simplify (sqrt 1) into 1 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [taylor]: Taking taylor expansion of 1/2 in x 0.620 * [backup-simplify]: Simplify 1/2 into 1/2 0.621 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.621 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.621 * [backup-simplify]: Simplify (sqrt 1) into 1 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.626 * [backup-simplify]: Simplify (+ 0 1) into 1 0.627 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.630 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.630 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.631 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.631 * [backup-simplify]: Simplify -1/8 into -1/8 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.647 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.648 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.649 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.649 * [backup-simplify]: Simplify 11/128 into 11/128 0.650 * [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))) 0.650 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.650 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.650 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.650 * [taylor]: Taking taylor expansion of 1/2 in x 0.650 * [backup-simplify]: Simplify 1/2 into 1/2 0.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.650 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.650 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.650 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.650 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.650 * [taylor]: Taking taylor expansion of 1 in x 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of 1 in x 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [backup-simplify]: Simplify (sqrt 1) into 1 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.656 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [taylor]: Taking taylor expansion of 1/2 in x 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.657 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.657 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.658 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.658 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.660 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.660 * [taylor]: Taking taylor expansion of 1/2 in x 0.660 * [backup-simplify]: Simplify 1/2 into 1/2 0.660 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.660 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.660 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.660 * [taylor]: Taking taylor expansion of 1 in x 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of 1 in x 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (+ 0 1) into 1 0.663 * [backup-simplify]: Simplify (sqrt 1) into 1 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [taylor]: Taking taylor expansion of 1/2 in x 0.666 * [backup-simplify]: Simplify 1/2 into 1/2 0.667 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.667 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.668 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.668 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.670 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.670 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.671 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.680 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.683 * [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))))) 0.684 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.684 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.684 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.684 * [taylor]: Taking taylor expansion of 1/2 in x 0.684 * [backup-simplify]: Simplify 1/2 into 1/2 0.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.684 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.684 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.684 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.684 * [taylor]: Taking taylor expansion of 1 in x 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [taylor]: Taking taylor expansion of 1 in x 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.684 * [taylor]: Taking taylor expansion of -1 in x 0.684 * [backup-simplify]: Simplify -1 into -1 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ -1 1) into -1 0.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.685 * [taylor]: Taking taylor expansion of -1 in x 0.685 * [backup-simplify]: Simplify -1 into -1 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ -1 1) into -1 0.686 * [backup-simplify]: Simplify (* -1 -1) into 1 0.686 * [backup-simplify]: Simplify (+ 0 1) into 1 0.686 * [backup-simplify]: Simplify (sqrt 1) into 1 0.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of 1/2 in x 0.690 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.691 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.692 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.694 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.696 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.696 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.696 * [taylor]: Taking taylor expansion of 1/2 in x 0.696 * [backup-simplify]: Simplify 1/2 into 1/2 0.696 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.696 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.696 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.696 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.696 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.696 * [taylor]: Taking taylor expansion of 1 in x 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [taylor]: Taking taylor expansion of 1 in x 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.696 * [taylor]: Taking taylor expansion of -1 in x 0.696 * [backup-simplify]: Simplify -1 into -1 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ -1 1) into -1 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [backup-simplify]: Simplify -1 into -1 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ -1 1) into -1 0.698 * [backup-simplify]: Simplify (* -1 -1) into 1 0.698 * [backup-simplify]: Simplify (+ 0 1) into 1 0.699 * [backup-simplify]: Simplify (sqrt 1) into 1 0.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.702 * [taylor]: Taking taylor expansion of 1/2 in x 0.702 * [backup-simplify]: Simplify 1/2 into 1/2 0.703 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.703 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.704 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.704 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.706 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.706 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.707 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.716 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.719 * [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)))))) 0.719 * * * [progress]: simplifying candidates 0.719 * * * * [progress]: [ 1 / 120 ] simplifiying candidate # 0.719 * * * * [progress]: [ 2 / 120 ] simplifiying candidate # 0.719 * * * * [progress]: [ 3 / 120 ] simplifiying candidate # 0.719 * * * * [progress]: [ 4 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 5 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 6 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 7 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 8 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 9 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 10 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 11 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 12 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 13 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 14 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 15 / 120 ] simplifiying candidate # 0.720 * * * * [progress]: [ 16 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 17 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 18 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 19 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 20 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 21 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 22 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 23 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 24 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 25 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 26 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 27 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 28 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 29 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 30 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 31 / 120 ] simplifiying candidate # 0.721 * * * * [progress]: [ 32 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 33 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 34 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 35 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 36 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 37 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 38 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 39 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 40 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 41 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 42 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 43 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 44 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 45 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 46 / 120 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.722 * * * * [progress]: [ 47 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 48 / 120 ] simplifiying candidate # 0.722 * * * * [progress]: [ 49 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 50 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 51 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 52 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 53 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 54 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 55 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 56 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 57 / 120 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))))))> 0.723 * * * * [progress]: [ 58 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 59 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 60 / 120 ] simplifiying candidate # 0.723 * * * * [progress]: [ 61 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 62 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 63 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 64 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 65 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 66 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 67 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 68 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 69 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 70 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 71 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 72 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 73 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 74 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 75 / 120 ] simplifiying candidate # 0.724 * * * * [progress]: [ 76 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 77 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 78 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 79 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 80 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 81 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 82 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 83 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 84 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 85 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 86 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 87 / 120 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.725 * * * * [progress]: [ 88 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 89 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 90 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 91 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 92 / 120 ] simplifiying candidate # 0.725 * * * * [progress]: [ 93 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 94 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 95 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 96 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 97 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 98 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 99 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 100 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 101 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 102 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 103 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 104 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 105 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 106 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 107 / 120 ] simplifiying candidate # 0.726 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.726 * * * * [progress]: [ 109 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 110 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 111 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 112 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 113 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 114 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 115 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 116 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 117 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 118 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 119 / 120 ] simplifiying candidate # 0.727 * * * * [progress]: [ 120 / 120 ] simplifiying candidate # 0.730 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (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))))))))) (fma (- (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)))))) (* (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)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 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))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 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))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt 1) (sqrt 1) (- (* (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))))))))) (fma (- (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)))))) (* (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)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 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))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 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))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma 1 1 (- (* (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))))))))) (fma (- (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)))))) (* (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)))))))) (fma 1 1 (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma 1 1 (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 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))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma 1 1 (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 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))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma 1 1 (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (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) (exp (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)))))) (- (pow 1 3) (pow (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 3)) (+ (* 1 1) (+ (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 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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 (/ 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 (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))))) (* (* (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 (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (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))))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 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))))) (- (+ (* 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)) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))))) 0.735 * * [simplify]: iteration 1: (212 enodes) 0.913 * * [simplify]: iteration 2: (476 enodes) 1.222 * * [simplify]: iteration 3: (1069 enodes) 2.447 * * [simplify]: Extracting #0: cost 92 inf + 0 2.449 * * [simplify]: Extracting #1: cost 362 inf + 44 2.453 * * [simplify]: Extracting #2: cost 520 inf + 1469 2.459 * * [simplify]: Extracting #3: cost 416 inf + 18117 2.473 * * [simplify]: Extracting #4: cost 228 inf + 55723 2.501 * * [simplify]: Extracting #5: cost 145 inf + 80165 2.546 * * [simplify]: Extracting #6: cost 45 inf + 113864 2.596 * * [simplify]: Extracting #7: cost 4 inf + 128573 2.647 * * [simplify]: Extracting #8: cost 0 inf + 130036 2.699 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (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))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (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))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (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))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (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)))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 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 (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 (/ 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) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (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 (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 (+ (/ (/ 1/8 (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) 1/8)) (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- 1/4 (/ 1/4 (* (hypot 1 x) (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 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 (* (* (* x x) x) (* (* x x) x)) 69/1024 (* (* x x) (- 1/8 (* (* x x) 11/128)))) (+ (/ (/ (/ 1/32 (* x x)) 1/2) (sqrt 1/2)) (- (- 1 (/ 1/4 (* x (sqrt 1/2)))) (sqrt 1/2))) (+ 1 (+ (- (/ 1/4 (* x (sqrt 1/2))) (sqrt 1/2)) (/ (/ (/ 1/32 (* x x)) 1/2) (sqrt 1/2)))) (fma (* (* x x) (* x x)) -1/8 (fma 1/2 (* x x) 1)) (+ (/ -1/8 (* (* x x) x)) (+ (/ 1/2 x) x)) (- (/ (/ 1/8 x) (* x x)) (+ (/ 1/2 x) x)) (fma (* x x) -1/4 (fma (* (* x x) (* x x)) 3/16 1/2)) (+ (+ (/ 3/16 (pow x 5)) (/ -1/4 (* (* x x) x))) (/ 1/2 x)) (+ (+ (/ (/ 1/4 x) (* x x)) (/ -1/2 x)) (/ -3/16 (pow x 5))) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)) (+ (/ -1/32 (* (* 1/2 (* x x)) (sqrt 1/2))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (+ (sqrt 1/2) (- (/ -1/32 (* (* 1/2 (* x x)) (sqrt 1/2))) (/ 1/4 (* x (sqrt 1/2))))) 2.713 * * * [progress]: adding candidates to table 3.765 * * [progress]: iteration 2 / 4 3.765 * * * [progress]: picking best candidate 3.769 * * * * [pick]: Picked # 3.769 * * * [progress]: localizing error 3.789 * * * [progress]: generating rewritten candidates 3.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.800 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 3.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 3.801 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 3.815 * * * [progress]: generating series expansions 3.815 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.815 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.815 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.815 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.815 * [taylor]: Taking taylor expansion of 1/2 in x 3.815 * [backup-simplify]: Simplify 1/2 into 1/2 3.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.815 * [taylor]: Taking taylor expansion of 1/2 in x 3.815 * [backup-simplify]: Simplify 1/2 into 1/2 3.816 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.816 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.816 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.816 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.816 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.816 * [taylor]: Taking taylor expansion of 1 in x 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [taylor]: Taking taylor expansion of 1 in x 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [taylor]: Taking taylor expansion of (* x x) in x 3.816 * [taylor]: Taking taylor expansion of x in x 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [taylor]: Taking taylor expansion of x in x 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (* 1 1) into 1 3.817 * [backup-simplify]: Simplify (* 0 0) into 0 3.817 * [backup-simplify]: Simplify (+ 1 0) into 1 3.818 * [backup-simplify]: Simplify (sqrt 1) into 1 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.819 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.821 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.821 * [taylor]: Taking taylor expansion of 1/2 in x 3.821 * [backup-simplify]: Simplify 1/2 into 1/2 3.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.821 * [taylor]: Taking taylor expansion of 1/2 in x 3.821 * [backup-simplify]: Simplify 1/2 into 1/2 3.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.821 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.821 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.821 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.821 * [taylor]: Taking taylor expansion of 1 in x 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of 1 in x 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of (* x x) in x 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.822 * [backup-simplify]: Simplify (* 1 1) into 1 3.822 * [backup-simplify]: Simplify (* 0 0) into 0 3.823 * [backup-simplify]: Simplify (+ 1 0) into 1 3.823 * [backup-simplify]: Simplify (sqrt 1) into 1 3.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.824 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.826 * [backup-simplify]: Simplify (/ 1 1) into 1 3.826 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.827 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.827 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.831 * [backup-simplify]: Simplify (+ 0 1) into 1 3.832 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.835 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.835 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.836 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.836 * [backup-simplify]: Simplify 1/4 into 1/4 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.843 * [backup-simplify]: Simplify (+ 0 0) into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.846 * [backup-simplify]: Simplify (+ 0 0) into 0 3.847 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.849 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.849 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.850 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.850 * [backup-simplify]: Simplify -3/16 into -3/16 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.857 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.860 * [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 3.861 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.861 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.862 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.862 * [backup-simplify]: Simplify 5/32 into 5/32 3.862 * [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))) 3.862 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.862 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.862 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.862 * [taylor]: Taking taylor expansion of 1/2 in x 3.862 * [backup-simplify]: Simplify 1/2 into 1/2 3.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.862 * [taylor]: Taking taylor expansion of 1/2 in x 3.862 * [backup-simplify]: Simplify 1/2 into 1/2 3.862 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.862 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.862 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.862 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.862 * [taylor]: Taking taylor expansion of 1 in x 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [taylor]: Taking taylor expansion of 1 in x 3.862 * [backup-simplify]: Simplify 1 into 1 3.862 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.862 * [taylor]: Taking taylor expansion of x in x 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (/ 1 1) into 1 3.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.863 * [taylor]: Taking taylor expansion of x in x 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (/ 1 1) into 1 3.863 * [backup-simplify]: Simplify (* 1 1) into 1 3.864 * [backup-simplify]: Simplify (+ 0 1) into 1 3.864 * [backup-simplify]: Simplify (sqrt 1) into 1 3.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.866 * [taylor]: Taking taylor expansion of 1/2 in x 3.866 * [backup-simplify]: Simplify 1/2 into 1/2 3.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.866 * [taylor]: Taking taylor expansion of 1/2 in x 3.866 * [backup-simplify]: Simplify 1/2 into 1/2 3.866 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.866 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.866 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.866 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.866 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.866 * [taylor]: Taking taylor expansion of 1 in x 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [taylor]: Taking taylor expansion of 1 in x 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (+ 0 1) into 1 3.868 * [backup-simplify]: Simplify (sqrt 1) into 1 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.870 * [backup-simplify]: Simplify (/ 1 1) into 1 3.870 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.870 * [backup-simplify]: Simplify 1/2 into 1/2 3.871 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.871 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.871 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.871 * [backup-simplify]: Simplify -1/2 into -1/2 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.872 * [backup-simplify]: Simplify (- 0) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (* 1 1) into 1 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.875 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.877 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.878 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.878 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.878 * [backup-simplify]: Simplify 1/4 into 1/4 3.878 * [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))) 3.878 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.878 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.878 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.878 * [taylor]: Taking taylor expansion of 1/2 in x 3.878 * [backup-simplify]: Simplify 1/2 into 1/2 3.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.878 * [taylor]: Taking taylor expansion of 1/2 in x 3.878 * [backup-simplify]: Simplify 1/2 into 1/2 3.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.878 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.878 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.878 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.878 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.878 * [taylor]: Taking taylor expansion of 1 in x 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [taylor]: Taking taylor expansion of 1 in x 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.879 * [taylor]: Taking taylor expansion of -1 in x 3.879 * [backup-simplify]: Simplify -1 into -1 3.879 * [taylor]: Taking taylor expansion of x in x 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (/ -1 1) into -1 3.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.879 * [taylor]: Taking taylor expansion of -1 in x 3.879 * [backup-simplify]: Simplify -1 into -1 3.879 * [taylor]: Taking taylor expansion of x in x 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (/ -1 1) into -1 3.880 * [backup-simplify]: Simplify (* -1 -1) into 1 3.880 * [backup-simplify]: Simplify (+ 0 1) into 1 3.880 * [backup-simplify]: Simplify (sqrt 1) into 1 3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.883 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.883 * [taylor]: Taking taylor expansion of 1/2 in x 3.883 * [backup-simplify]: Simplify 1/2 into 1/2 3.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.883 * [taylor]: Taking taylor expansion of 1/2 in x 3.883 * [backup-simplify]: Simplify 1/2 into 1/2 3.883 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.883 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.883 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.883 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.883 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.883 * [taylor]: Taking taylor expansion of 1 in x 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of 1 in x 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.883 * [taylor]: Taking taylor expansion of -1 in x 3.883 * [backup-simplify]: Simplify -1 into -1 3.883 * [taylor]: Taking taylor expansion of x in x 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (/ -1 1) into -1 3.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.883 * [taylor]: Taking taylor expansion of -1 in x 3.883 * [backup-simplify]: Simplify -1 into -1 3.883 * [taylor]: Taking taylor expansion of x in x 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (/ -1 1) into -1 3.884 * [backup-simplify]: Simplify (* -1 -1) into 1 3.884 * [backup-simplify]: Simplify (+ 0 1) into 1 3.884 * [backup-simplify]: Simplify (sqrt 1) into 1 3.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.886 * [backup-simplify]: Simplify (+ 0 0) into 0 3.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.887 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.887 * [backup-simplify]: Simplify 1/2 into 1/2 3.888 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.888 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.888 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.888 * [backup-simplify]: Simplify -1/2 into -1/2 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.890 * [backup-simplify]: Simplify (- 0) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (* 1 1) into 1 3.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.894 * [backup-simplify]: Simplify (+ 1 0) into 1 3.895 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.897 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.897 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.898 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.898 * [backup-simplify]: Simplify 1/4 into 1/4 3.898 * [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)))) 3.898 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 3.898 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 3.898 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 3.898 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.898 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.899 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.899 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.899 * [taylor]: Taking taylor expansion of 1 in x 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of 1 in x 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of (* x x) in x 3.899 * [taylor]: Taking taylor expansion of x in x 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [taylor]: Taking taylor expansion of x in x 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (* 1 1) into 1 3.900 * [backup-simplify]: Simplify (* 0 0) into 0 3.900 * [backup-simplify]: Simplify (+ 1 0) into 1 3.900 * [backup-simplify]: Simplify (sqrt 1) into 1 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.903 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.903 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.903 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.903 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.903 * [taylor]: Taking taylor expansion of 1 in x 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [taylor]: Taking taylor expansion of 1 in x 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [taylor]: Taking taylor expansion of (* x x) in x 3.903 * [taylor]: Taking taylor expansion of x in x 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [taylor]: Taking taylor expansion of x in x 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (* 1 1) into 1 3.904 * [backup-simplify]: Simplify (* 0 0) into 0 3.904 * [backup-simplify]: Simplify (+ 1 0) into 1 3.904 * [backup-simplify]: Simplify (sqrt 1) into 1 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.906 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.909 * [backup-simplify]: Simplify (+ 0 1) into 1 3.910 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.910 * [backup-simplify]: Simplify 1/2 into 1/2 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.916 * [backup-simplify]: Simplify (+ 0 0) into 0 3.917 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.917 * [backup-simplify]: Simplify -1/8 into -1/8 3.918 * [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))) 3.918 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 3.918 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 3.918 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.918 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.918 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.918 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.918 * [taylor]: Taking taylor expansion of 1 in x 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [taylor]: Taking taylor expansion of 1 in x 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.918 * [taylor]: Taking taylor expansion of x in x 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.919 * [taylor]: Taking taylor expansion of x in x 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [backup-simplify]: Simplify (* 1 1) into 1 3.920 * [backup-simplify]: Simplify (+ 0 1) into 1 3.920 * [backup-simplify]: Simplify (sqrt 1) into 1 3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.923 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.923 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.923 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.923 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.923 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.923 * [taylor]: Taking taylor expansion of 1 in x 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of 1 in x 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.924 * [taylor]: Taking taylor expansion of x in x 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (/ 1 1) into 1 3.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.924 * [taylor]: Taking taylor expansion of x in x 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (/ 1 1) into 1 3.925 * [backup-simplify]: Simplify (* 1 1) into 1 3.925 * [backup-simplify]: Simplify (+ 0 1) into 1 3.928 * [backup-simplify]: Simplify (sqrt 1) into 1 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (+ 1 0) into 1 3.936 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.936 * [backup-simplify]: Simplify 1/2 into 1/2 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (+ 0 0) into 0 3.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.942 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.943 * [backup-simplify]: Simplify -1/8 into -1/8 3.943 * [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)))) 3.943 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 3.943 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 3.943 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.943 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.943 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.943 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.943 * [taylor]: Taking taylor expansion of 1 in x 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [taylor]: Taking taylor expansion of 1 in x 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.943 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.943 * [taylor]: Taking taylor expansion of -1 in x 3.943 * [backup-simplify]: Simplify -1 into -1 3.943 * [taylor]: Taking taylor expansion of x in x 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (/ -1 1) into -1 3.943 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.943 * [taylor]: Taking taylor expansion of -1 in x 3.943 * [backup-simplify]: Simplify -1 into -1 3.943 * [taylor]: Taking taylor expansion of x in x 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (/ -1 1) into -1 3.944 * [backup-simplify]: Simplify (* -1 -1) into 1 3.944 * [backup-simplify]: Simplify (+ 0 1) into 1 3.944 * [backup-simplify]: Simplify (sqrt 1) into 1 3.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.946 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.947 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.947 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.947 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.947 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.947 * [taylor]: Taking taylor expansion of 1 in x 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [taylor]: Taking taylor expansion of 1 in x 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.947 * [taylor]: Taking taylor expansion of -1 in x 3.947 * [backup-simplify]: Simplify -1 into -1 3.947 * [taylor]: Taking taylor expansion of x in x 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ -1 1) into -1 3.947 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.947 * [taylor]: Taking taylor expansion of -1 in x 3.947 * [backup-simplify]: Simplify -1 into -1 3.947 * [taylor]: Taking taylor expansion of x in x 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ -1 1) into -1 3.948 * [backup-simplify]: Simplify (* -1 -1) into 1 3.948 * [backup-simplify]: Simplify (+ 0 1) into 1 3.948 * [backup-simplify]: Simplify (sqrt 1) into 1 3.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.950 * [backup-simplify]: Simplify (+ 0 0) into 0 3.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify (* 1 1) into 1 3.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.952 * [backup-simplify]: Simplify (+ 1 0) into 1 3.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.953 * [backup-simplify]: Simplify 1/2 into 1/2 3.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.956 * [backup-simplify]: Simplify (+ 0 0) into 0 3.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.956 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.960 * [backup-simplify]: Simplify -1/8 into -1/8 3.960 * [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)))) 3.960 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 3.960 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 3.960 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 3.960 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.960 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.960 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.960 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.960 * [taylor]: Taking taylor expansion of 1 in x 3.960 * [backup-simplify]: Simplify 1 into 1 3.960 * [taylor]: Taking taylor expansion of 1 in x 3.960 * [backup-simplify]: Simplify 1 into 1 3.960 * [taylor]: Taking taylor expansion of (* x x) in x 3.960 * [taylor]: Taking taylor expansion of x in x 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 1 into 1 3.961 * [taylor]: Taking taylor expansion of x in x 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 1 into 1 3.961 * [backup-simplify]: Simplify (* 1 1) into 1 3.961 * [backup-simplify]: Simplify (* 0 0) into 0 3.961 * [backup-simplify]: Simplify (+ 1 0) into 1 3.962 * [backup-simplify]: Simplify (sqrt 1) into 1 3.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.962 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.963 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.963 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.963 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.963 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.963 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.963 * [taylor]: Taking taylor expansion of 1 in x 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of 1 in x 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of (* x x) in x 3.963 * [taylor]: Taking taylor expansion of x in x 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of x in x 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (* 1 1) into 1 3.964 * [backup-simplify]: Simplify (* 0 0) into 0 3.964 * [backup-simplify]: Simplify (+ 1 0) into 1 3.964 * [backup-simplify]: Simplify (sqrt 1) into 1 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.965 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.965 * [backup-simplify]: Simplify (+ 0 0) into 0 3.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.967 * [backup-simplify]: Simplify (+ 0 1) into 1 3.968 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.968 * [backup-simplify]: Simplify 1/2 into 1/2 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.969 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.970 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.973 * [backup-simplify]: Simplify -1/8 into -1/8 3.974 * [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))) 3.974 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 3.974 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 3.974 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.974 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.974 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.974 * [taylor]: Taking taylor expansion of 1 in x 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [taylor]: Taking taylor expansion of 1 in x 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.974 * [taylor]: Taking taylor expansion of x in x 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.975 * [taylor]: Taking taylor expansion of x in x 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [backup-simplify]: Simplify (* 1 1) into 1 3.976 * [backup-simplify]: Simplify (+ 0 1) into 1 3.977 * [backup-simplify]: Simplify (sqrt 1) into 1 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.979 * [backup-simplify]: Simplify (+ 0 0) into 0 3.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.980 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.980 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.980 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.980 * [taylor]: Taking taylor expansion of 1 in x 3.980 * [backup-simplify]: Simplify 1 into 1 3.980 * [taylor]: Taking taylor expansion of 1 in x 3.980 * [backup-simplify]: Simplify 1 into 1 3.981 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.981 * [taylor]: Taking taylor expansion of x in x 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (/ 1 1) into 1 3.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.981 * [taylor]: Taking taylor expansion of x in x 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.982 * [backup-simplify]: Simplify (/ 1 1) into 1 3.982 * [backup-simplify]: Simplify (* 1 1) into 1 3.982 * [backup-simplify]: Simplify (+ 0 1) into 1 3.983 * [backup-simplify]: Simplify (sqrt 1) into 1 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (* 1 1) into 1 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.990 * [backup-simplify]: Simplify (+ 1 0) into 1 3.991 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.991 * [backup-simplify]: Simplify 1/2 into 1/2 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.001 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.001 * [backup-simplify]: Simplify -1/8 into -1/8 4.001 * [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)))) 4.002 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 4.002 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 4.002 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.002 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.002 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.002 * [taylor]: Taking taylor expansion of 1 in x 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [taylor]: Taking taylor expansion of 1 in x 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.002 * [taylor]: Taking taylor expansion of -1 in x 4.002 * [backup-simplify]: Simplify -1 into -1 4.002 * [taylor]: Taking taylor expansion of x in x 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (/ -1 1) into -1 4.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.002 * [taylor]: Taking taylor expansion of -1 in x 4.002 * [backup-simplify]: Simplify -1 into -1 4.002 * [taylor]: Taking taylor expansion of x in x 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (/ -1 1) into -1 4.003 * [backup-simplify]: Simplify (* -1 -1) into 1 4.003 * [backup-simplify]: Simplify (+ 0 1) into 1 4.003 * [backup-simplify]: Simplify (sqrt 1) into 1 4.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.005 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.005 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.005 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.005 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.006 * [taylor]: Taking taylor expansion of 1 in x 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of 1 in x 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.006 * [taylor]: Taking taylor expansion of -1 in x 4.006 * [backup-simplify]: Simplify -1 into -1 4.006 * [taylor]: Taking taylor expansion of x in x 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ -1 1) into -1 4.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.006 * [taylor]: Taking taylor expansion of -1 in x 4.006 * [backup-simplify]: Simplify -1 into -1 4.006 * [taylor]: Taking taylor expansion of x in x 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ -1 1) into -1 4.007 * [backup-simplify]: Simplify (* -1 -1) into 1 4.007 * [backup-simplify]: Simplify (+ 0 1) into 1 4.007 * [backup-simplify]: Simplify (sqrt 1) into 1 4.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (* 1 1) into 1 4.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.012 * [backup-simplify]: Simplify (+ 1 0) into 1 4.013 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.013 * [backup-simplify]: Simplify 1/2 into 1/2 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.020 * [backup-simplify]: Simplify -1/8 into -1/8 4.020 * [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)))) 4.020 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 4.020 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 4.020 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 4.020 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.020 * [taylor]: Taking taylor expansion of 1/2 in x 4.020 * [backup-simplify]: Simplify 1/2 into 1/2 4.020 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.020 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.020 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.020 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.020 * [taylor]: Taking taylor expansion of 1 in x 4.020 * [backup-simplify]: Simplify 1 into 1 4.020 * [taylor]: Taking taylor expansion of 1 in x 4.020 * [backup-simplify]: Simplify 1 into 1 4.020 * [taylor]: Taking taylor expansion of (* x x) in x 4.020 * [taylor]: Taking taylor expansion of x in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [taylor]: Taking taylor expansion of x in x 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (* 1 1) into 1 4.021 * [backup-simplify]: Simplify (* 0 0) into 0 4.022 * [backup-simplify]: Simplify (+ 1 0) into 1 4.022 * [backup-simplify]: Simplify (sqrt 1) into 1 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.023 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.024 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.024 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 4.024 * [taylor]: Taking taylor expansion of 1/2 in x 4.024 * [backup-simplify]: Simplify 1/2 into 1/2 4.024 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.024 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.024 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.024 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.024 * [taylor]: Taking taylor expansion of 1 in x 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [taylor]: Taking taylor expansion of 1 in x 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [taylor]: Taking taylor expansion of (* x x) in x 4.024 * [taylor]: Taking taylor expansion of x in x 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [taylor]: Taking taylor expansion of x in x 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (* 0 0) into 0 4.025 * [backup-simplify]: Simplify (+ 1 0) into 1 4.025 * [backup-simplify]: Simplify (sqrt 1) into 1 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.026 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.027 * [backup-simplify]: Simplify 1/2 into 1/2 4.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.030 * [backup-simplify]: Simplify (+ 0 1) into 1 4.031 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.032 * [backup-simplify]: Simplify -1/4 into -1/4 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.035 * [backup-simplify]: Simplify (+ 0 0) into 0 4.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.044 * [backup-simplify]: Simplify 3/16 into 3/16 4.044 * [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))) 4.045 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 4.045 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 4.045 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.045 * [taylor]: Taking taylor expansion of 1/2 in x 4.045 * [backup-simplify]: Simplify 1/2 into 1/2 4.045 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.045 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.045 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.045 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.045 * [taylor]: Taking taylor expansion of 1 in x 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [taylor]: Taking taylor expansion of 1 in x 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.045 * [taylor]: Taking taylor expansion of x in x 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (/ 1 1) into 1 4.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.046 * [taylor]: Taking taylor expansion of x in x 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [backup-simplify]: Simplify (/ 1 1) into 1 4.046 * [backup-simplify]: Simplify (* 1 1) into 1 4.047 * [backup-simplify]: Simplify (+ 0 1) into 1 4.047 * [backup-simplify]: Simplify (sqrt 1) into 1 4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.051 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 4.051 * [taylor]: Taking taylor expansion of 1/2 in x 4.051 * [backup-simplify]: Simplify 1/2 into 1/2 4.051 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.051 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.051 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.051 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.051 * [taylor]: Taking taylor expansion of 1 in x 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of 1 in x 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.051 * [taylor]: Taking taylor expansion of x in x 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (/ 1 1) into 1 4.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.052 * [taylor]: Taking taylor expansion of x in x 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (/ 1 1) into 1 4.052 * [backup-simplify]: Simplify (* 1 1) into 1 4.053 * [backup-simplify]: Simplify (+ 0 1) into 1 4.053 * [backup-simplify]: Simplify (sqrt 1) into 1 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.057 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.057 * [backup-simplify]: Simplify 1/2 into 1/2 4.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (* 1 1) into 1 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.062 * [backup-simplify]: Simplify (+ 1 0) into 1 4.063 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.064 * [backup-simplify]: Simplify -1/4 into -1/4 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (+ 0 0) into 0 4.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.070 * [backup-simplify]: Simplify (+ 0 0) into 0 4.071 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.072 * [backup-simplify]: Simplify 3/16 into 3/16 4.072 * [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)))) 4.072 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 4.073 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 4.073 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.073 * [taylor]: Taking taylor expansion of 1/2 in x 4.073 * [backup-simplify]: Simplify 1/2 into 1/2 4.073 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.073 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.073 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.073 * [taylor]: Taking taylor expansion of 1 in x 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [taylor]: Taking taylor expansion of 1 in x 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.073 * [taylor]: Taking taylor expansion of -1 in x 4.073 * [backup-simplify]: Simplify -1 into -1 4.073 * [taylor]: Taking taylor expansion of x in x 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ -1 1) into -1 4.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.073 * [taylor]: Taking taylor expansion of -1 in x 4.073 * [backup-simplify]: Simplify -1 into -1 4.073 * [taylor]: Taking taylor expansion of x in x 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ -1 1) into -1 4.074 * [backup-simplify]: Simplify (* -1 -1) into 1 4.074 * [backup-simplify]: Simplify (+ 0 1) into 1 4.074 * [backup-simplify]: Simplify (sqrt 1) into 1 4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.077 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 4.077 * [taylor]: Taking taylor expansion of 1/2 in x 4.077 * [backup-simplify]: Simplify 1/2 into 1/2 4.077 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.077 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.077 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.077 * [taylor]: Taking taylor expansion of 1 in x 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [taylor]: Taking taylor expansion of 1 in x 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.077 * [taylor]: Taking taylor expansion of -1 in x 4.077 * [backup-simplify]: Simplify -1 into -1 4.077 * [taylor]: Taking taylor expansion of x in x 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (/ -1 1) into -1 4.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.077 * [taylor]: Taking taylor expansion of -1 in x 4.077 * [backup-simplify]: Simplify -1 into -1 4.077 * [taylor]: Taking taylor expansion of x in x 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (/ -1 1) into -1 4.078 * [backup-simplify]: Simplify (* -1 -1) into 1 4.078 * [backup-simplify]: Simplify (+ 0 1) into 1 4.078 * [backup-simplify]: Simplify (sqrt 1) into 1 4.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.080 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.080 * [backup-simplify]: Simplify (+ 0 0) into 0 4.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.081 * [backup-simplify]: Simplify 1/2 into 1/2 4.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (* 1 1) into 1 4.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.084 * [backup-simplify]: Simplify (+ 1 0) into 1 4.084 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 4.085 * [backup-simplify]: Simplify -1/4 into -1/4 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 4.093 * [backup-simplify]: Simplify 3/16 into 3/16 4.094 * [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)))) 4.094 * * * [progress]: simplifying candidates 4.094 * * * * [progress]: [ 1 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 2 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 3 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 4 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 5 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 6 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 7 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 8 / 124 ] simplifiying candidate # 4.094 * * * * [progress]: [ 9 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 10 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 11 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 12 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 13 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 14 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 15 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 16 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 17 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 18 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 19 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 20 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 21 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 22 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 23 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 24 / 124 ] simplifiying candidate # 4.095 * * * * [progress]: [ 25 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 26 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 27 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 28 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 29 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 30 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 31 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 32 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 33 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 34 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 35 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 36 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 37 / 124 ] simplifiying candidate # 4.096 * * * * [progress]: [ 38 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 39 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 40 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 41 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 42 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 43 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 44 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 45 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 46 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 47 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 48 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 49 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 50 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 51 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 52 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 53 / 124 ] simplifiying candidate # 4.097 * * * * [progress]: [ 54 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 55 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 56 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 57 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 58 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 59 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 60 / 124 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 4.098 * * * * [progress]: [ 61 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 62 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 63 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 64 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 65 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 66 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 67 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 68 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 69 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 70 / 124 ] simplifiying candidate # 4.098 * * * * [progress]: [ 71 / 124 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))))))))> 4.099 * * * * [progress]: [ 72 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 73 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 74 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 75 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 76 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 77 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 78 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 79 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 80 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 81 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 82 / 124 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 4.099 * * * * [progress]: [ 83 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 84 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 85 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 86 / 124 ] simplifiying candidate # 4.099 * * * * [progress]: [ 87 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 88 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 89 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 90 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 91 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 92 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 93 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 94 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 95 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 96 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 97 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 98 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 99 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 100 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 101 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 102 / 124 ] simplifiying candidate # 4.100 * * * * [progress]: [ 103 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 104 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 105 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 106 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 107 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 108 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 109 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 110 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 111 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 112 / 124 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 4.101 * * * * [progress]: [ 113 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 114 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 115 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 116 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 117 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 118 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 119 / 124 ] simplifiying candidate # 4.101 * * * * [progress]: [ 120 / 124 ] simplifiying candidate # 4.102 * * * * [progress]: [ 121 / 124 ] simplifiying candidate # 4.102 * * * * [progress]: [ 122 / 124 ] simplifiying candidate # 4.102 * * * * [progress]: [ 123 / 124 ] simplifiying candidate # 4.102 * * * * [progress]: [ 124 / 124 ] simplifiying candidate # 4.105 * [simplify]: Simplifying: (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 (- (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)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 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))))) (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))))))) (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)))))) (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)))))) (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))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (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))) (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))))))) (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)))))) (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))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (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))))))) (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)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (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))))) (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) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (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)) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 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))))) (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))))))) (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)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (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))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (fma (- (/ (cbrt 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(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)))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (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))))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (fma 1 1/2 (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 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)))))) (fma 1 1/2 (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 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))))) (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))))))) (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)))))) (fma 1 1/2 (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))) (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))))) (fma 1 1/2 (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))) (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))) (fma 1 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)))))) (fma 1 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))))) (fma 1 1/2 (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))) (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (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)))))) (fma 1 1/2 (- (* (/ 1/2 (sqrt (hypot 1 x))) (/ 1 (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))))) (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))) (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)) (fma 1 1/2 (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (- (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x))) (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (- (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (- (/ 1/2 (hypot 1 x))) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (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 (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 (/ 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))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) 4.110 * * [simplify]: iteration 1: (217 enodes) 4.283 * * [simplify]: iteration 2: (530 enodes) 4.592 * * [simplify]: iteration 3: (1329 enodes) 7.039 * * [simplify]: Extracting #0: cost 77 inf + 0 7.042 * * [simplify]: Extracting #1: cost 461 inf + 44 7.050 * * [simplify]: Extracting #2: cost 731 inf + 9407 7.076 * * [simplify]: Extracting #3: cost 500 inf + 63385 7.124 * * [simplify]: Extracting #4: cost 162 inf + 149855 7.177 * * [simplify]: Extracting #5: cost 13 inf + 197424 7.229 * * [simplify]: Extracting #6: cost 2 inf + 201071 7.269 * * [simplify]: Extracting #7: cost 0 inf + 201561 7.342 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (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 (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 (/ 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))) (fma (* (* x x) (* x x)) -3/16 (fma (* x x) 1/4 (* (* 5/32 (* (* x x) (* x x))) (* x x)))) (- 1/2 (- (/ 1/2 x) (/ 1/4 (* x (* x x))))) (+ 1/2 (- (/ 1/2 x) (/ 1/4 (* x (* x x))))) (fma -1/8 (* (* x x) (* x x)) (fma (* x x) 1/2 1)) (- (+ (/ 1/2 x) x) (/ 1/8 (* x (* x x)))) (+ (- (/ -1/2 x) x) (/ 1/8 (* x (* x x)))) (fma -1/8 (* (* x x) (* x x)) (fma (* x x) 1/2 1)) (- (+ (/ 1/2 x) x) (/ 1/8 (* x (* x x)))) (+ (- (/ -1/2 x) x) (/ 1/8 (* x (* x x)))) (fma -1/4 (* x x) (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (+ (/ 3/16 (pow x 5)) (/ -1/4 (* x (* x x)))) (/ 1/2 x)) (- (+ (/ -3/16 (pow x 5)) (/ 1/4 (* x (* x x)))) (/ 1/2 x)) 7.367 * * * [progress]: adding candidates to table 8.680 * * [progress]: iteration 3 / 4 8.680 * * * [progress]: picking best candidate 8.691 * * * * [pick]: Picked # 8.691 * * * [progress]: localizing error 8.722 * * * [progress]: generating rewritten candidates 8.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.735 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 8.736 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 8.736 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 8.746 * * * [progress]: generating series expansions 8.746 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.747 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 8.747 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 8.747 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.747 * [taylor]: Taking taylor expansion of 1/2 in x 8.747 * [backup-simplify]: Simplify 1/2 into 1/2 8.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.747 * [taylor]: Taking taylor expansion of 1/2 in x 8.747 * [backup-simplify]: Simplify 1/2 into 1/2 8.747 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.747 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.747 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.747 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.747 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.747 * [taylor]: Taking taylor expansion of 1 in x 8.747 * [backup-simplify]: Simplify 1 into 1 8.747 * [taylor]: Taking taylor expansion of 1 in x 8.747 * [backup-simplify]: Simplify 1 into 1 8.747 * [taylor]: Taking taylor expansion of (* x x) in x 8.747 * [taylor]: Taking taylor expansion of x in x 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.747 * [taylor]: Taking taylor expansion of x in x 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.748 * [backup-simplify]: Simplify (* 1 1) into 1 8.748 * [backup-simplify]: Simplify (* 0 0) into 0 8.749 * [backup-simplify]: Simplify (+ 1 0) into 1 8.749 * [backup-simplify]: Simplify (sqrt 1) into 1 8.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.751 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.751 * [backup-simplify]: Simplify (+ 0 0) into 0 8.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.758 * [backup-simplify]: Simplify (/ 1 1) into 1 8.758 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.759 * [taylor]: Taking taylor expansion of 1/2 in x 8.759 * [backup-simplify]: Simplify 1/2 into 1/2 8.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.759 * [taylor]: Taking taylor expansion of 1/2 in x 8.759 * [backup-simplify]: Simplify 1/2 into 1/2 8.759 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.759 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.759 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.759 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.759 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.759 * [taylor]: Taking taylor expansion of 1 in x 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of 1 in x 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of (* x x) in x 8.759 * [taylor]: Taking taylor expansion of x in x 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of x in x 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (* 1 1) into 1 8.760 * [backup-simplify]: Simplify (* 0 0) into 0 8.760 * [backup-simplify]: Simplify (+ 1 0) into 1 8.760 * [backup-simplify]: Simplify (sqrt 1) into 1 8.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.762 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.762 * [backup-simplify]: Simplify (+ 0 0) into 0 8.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.763 * [backup-simplify]: Simplify (/ 1 1) into 1 8.764 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.764 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.765 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.766 * [backup-simplify]: Simplify (- 0) into 0 8.767 * [backup-simplify]: Simplify (+ 0 0) into 0 8.767 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.769 * [backup-simplify]: Simplify (+ 0 1) into 1 8.770 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.772 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.772 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.773 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.773 * [backup-simplify]: Simplify 1/4 into 1/4 8.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.775 * [backup-simplify]: Simplify (+ 0 0) into 0 8.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.779 * [backup-simplify]: Simplify (- 0) into 0 8.780 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.784 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.788 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.788 * [backup-simplify]: Simplify (- 3/16) into -3/16 8.788 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 8.788 * [backup-simplify]: Simplify -3/16 into -3/16 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 8.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 8.799 * [backup-simplify]: Simplify (- 0) into 0 8.799 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.803 * [backup-simplify]: Simplify (+ 0 0) into 0 8.805 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.808 * [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 8.811 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 8.811 * [backup-simplify]: Simplify (- -5/32) into 5/32 8.812 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 8.812 * [backup-simplify]: Simplify 5/32 into 5/32 8.812 * [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))) 8.812 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 8.813 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 8.813 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.813 * [taylor]: Taking taylor expansion of 1/2 in x 8.813 * [backup-simplify]: Simplify 1/2 into 1/2 8.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.813 * [taylor]: Taking taylor expansion of 1/2 in x 8.813 * [backup-simplify]: Simplify 1/2 into 1/2 8.813 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.813 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.813 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.813 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.813 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.813 * [taylor]: Taking taylor expansion of 1 in x 8.813 * [backup-simplify]: Simplify 1 into 1 8.813 * [taylor]: Taking taylor expansion of 1 in x 8.813 * [backup-simplify]: Simplify 1 into 1 8.813 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.813 * [taylor]: Taking taylor expansion of x in x 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify (/ 1 1) into 1 8.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.814 * [taylor]: Taking taylor expansion of x in x 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify (/ 1 1) into 1 8.815 * [backup-simplify]: Simplify (* 1 1) into 1 8.815 * [backup-simplify]: Simplify (+ 0 1) into 1 8.815 * [backup-simplify]: Simplify (sqrt 1) into 1 8.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.817 * [backup-simplify]: Simplify (+ 0 0) into 0 8.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.818 * [backup-simplify]: Simplify (/ 1 1) into 1 8.818 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.818 * [taylor]: Taking taylor expansion of 1/2 in x 8.818 * [backup-simplify]: Simplify 1/2 into 1/2 8.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.818 * [taylor]: Taking taylor expansion of 1/2 in x 8.818 * [backup-simplify]: Simplify 1/2 into 1/2 8.818 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.818 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.818 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.818 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.818 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.818 * [taylor]: Taking taylor expansion of 1 in x 8.818 * [backup-simplify]: Simplify 1 into 1 8.818 * [taylor]: Taking taylor expansion of 1 in x 8.818 * [backup-simplify]: Simplify 1 into 1 8.818 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.818 * [taylor]: Taking taylor expansion of x in x 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 1 into 1 8.818 * [backup-simplify]: Simplify (/ 1 1) into 1 8.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.818 * [taylor]: Taking taylor expansion of x in x 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 1 into 1 8.819 * [backup-simplify]: Simplify (/ 1 1) into 1 8.819 * [backup-simplify]: Simplify (* 1 1) into 1 8.819 * [backup-simplify]: Simplify (+ 0 1) into 1 8.819 * [backup-simplify]: Simplify (sqrt 1) into 1 8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.822 * [backup-simplify]: Simplify (+ 0 0) into 0 8.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.823 * [backup-simplify]: Simplify (/ 1 1) into 1 8.824 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.824 * [backup-simplify]: Simplify 1/2 into 1/2 8.824 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.824 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.825 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.825 * [backup-simplify]: Simplify -1/2 into -1/2 8.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.827 * [backup-simplify]: Simplify (- 0) into 0 8.827 * [backup-simplify]: Simplify (+ 0 0) into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify (* 1 1) into 1 8.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.831 * [backup-simplify]: Simplify (+ 1 0) into 1 8.832 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.834 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.835 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.835 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.835 * [backup-simplify]: Simplify 1/4 into 1/4 8.835 * [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))) 8.836 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 8.836 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 8.836 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.836 * [taylor]: Taking taylor expansion of 1/2 in x 8.836 * [backup-simplify]: Simplify 1/2 into 1/2 8.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.836 * [taylor]: Taking taylor expansion of 1/2 in x 8.836 * [backup-simplify]: Simplify 1/2 into 1/2 8.836 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.836 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.836 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.836 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.836 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.836 * [taylor]: Taking taylor expansion of 1 in x 8.836 * [backup-simplify]: Simplify 1 into 1 8.836 * [taylor]: Taking taylor expansion of 1 in x 8.836 * [backup-simplify]: Simplify 1 into 1 8.836 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.836 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.836 * [taylor]: Taking taylor expansion of -1 in x 8.836 * [backup-simplify]: Simplify -1 into -1 8.836 * [taylor]: Taking taylor expansion of x in x 8.836 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify 1 into 1 8.837 * [backup-simplify]: Simplify (/ -1 1) into -1 8.837 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.837 * [taylor]: Taking taylor expansion of -1 in x 8.837 * [backup-simplify]: Simplify -1 into -1 8.837 * [taylor]: Taking taylor expansion of x in x 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.837 * [backup-simplify]: Simplify (/ -1 1) into -1 8.838 * [backup-simplify]: Simplify (* -1 -1) into 1 8.838 * [backup-simplify]: Simplify (+ 0 1) into 1 8.839 * [backup-simplify]: Simplify (sqrt 1) into 1 8.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.841 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.841 * [backup-simplify]: Simplify (+ 0 0) into 0 8.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.842 * [backup-simplify]: Simplify (/ 1 1) into 1 8.842 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.842 * [taylor]: Taking taylor expansion of 1/2 in x 8.842 * [backup-simplify]: Simplify 1/2 into 1/2 8.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.842 * [taylor]: Taking taylor expansion of 1/2 in x 8.842 * [backup-simplify]: Simplify 1/2 into 1/2 8.842 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.842 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.843 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.843 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.843 * [taylor]: Taking taylor expansion of 1 in x 8.843 * [backup-simplify]: Simplify 1 into 1 8.843 * [taylor]: Taking taylor expansion of 1 in x 8.843 * [backup-simplify]: Simplify 1 into 1 8.843 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.843 * [taylor]: Taking taylor expansion of -1 in x 8.843 * [backup-simplify]: Simplify -1 into -1 8.843 * [taylor]: Taking taylor expansion of x in x 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.843 * [backup-simplify]: Simplify (/ -1 1) into -1 8.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.843 * [taylor]: Taking taylor expansion of -1 in x 8.843 * [backup-simplify]: Simplify -1 into -1 8.843 * [taylor]: Taking taylor expansion of x in x 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.844 * [backup-simplify]: Simplify (/ -1 1) into -1 8.844 * [backup-simplify]: Simplify (* -1 -1) into 1 8.845 * [backup-simplify]: Simplify (+ 0 1) into 1 8.845 * [backup-simplify]: Simplify (sqrt 1) into 1 8.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.847 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.847 * [backup-simplify]: Simplify (+ 0 0) into 0 8.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.849 * [backup-simplify]: Simplify (/ 1 1) into 1 8.849 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.849 * [backup-simplify]: Simplify 1/2 into 1/2 8.850 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.850 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.850 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.850 * [backup-simplify]: Simplify -1/2 into -1/2 8.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.852 * [backup-simplify]: Simplify (- 0) into 0 8.853 * [backup-simplify]: Simplify (+ 0 0) into 0 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify (* 1 1) into 1 8.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.856 * [backup-simplify]: Simplify (+ 1 0) into 1 8.856 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.858 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.858 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.858 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.858 * [backup-simplify]: Simplify 1/4 into 1/4 8.859 * [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)))) 8.859 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 8.859 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 8.859 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 8.859 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.859 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.859 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.859 * [taylor]: Taking taylor expansion of 1 in x 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [taylor]: Taking taylor expansion of 1 in x 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [taylor]: Taking taylor expansion of (* x x) in x 8.859 * [taylor]: Taking taylor expansion of x in x 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [taylor]: Taking taylor expansion of x in x 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [backup-simplify]: Simplify (* 1 1) into 1 8.860 * [backup-simplify]: Simplify (* 0 0) into 0 8.860 * [backup-simplify]: Simplify (+ 1 0) into 1 8.860 * [backup-simplify]: Simplify (sqrt 1) into 1 8.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.861 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.861 * [backup-simplify]: Simplify (+ 0 0) into 0 8.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.862 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.862 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.862 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.862 * [taylor]: Taking taylor expansion of 1 in x 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [taylor]: Taking taylor expansion of 1 in x 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [taylor]: Taking taylor expansion of (* x x) in x 8.862 * [taylor]: Taking taylor expansion of x in x 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [taylor]: Taking taylor expansion of x in x 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [backup-simplify]: Simplify (* 1 1) into 1 8.862 * [backup-simplify]: Simplify (* 0 0) into 0 8.863 * [backup-simplify]: Simplify (+ 1 0) into 1 8.863 * [backup-simplify]: Simplify (sqrt 1) into 1 8.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.864 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.864 * [backup-simplify]: Simplify (+ 0 0) into 0 8.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.865 * [backup-simplify]: Simplify 1 into 1 8.865 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.866 * [backup-simplify]: Simplify (+ 0 1) into 1 8.867 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.867 * [backup-simplify]: Simplify 1/2 into 1/2 8.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.869 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.871 * [backup-simplify]: Simplify (+ 0 0) into 0 8.871 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.871 * [backup-simplify]: Simplify -1/8 into -1/8 8.872 * [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))) 8.872 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 8.872 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 8.872 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.872 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.872 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.872 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.872 * [taylor]: Taking taylor expansion of 1 in x 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [taylor]: Taking taylor expansion of 1 in x 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.872 * [taylor]: Taking taylor expansion of x in x 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ 1 1) into 1 8.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.872 * [taylor]: Taking taylor expansion of x in x 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.873 * [backup-simplify]: Simplify (/ 1 1) into 1 8.873 * [backup-simplify]: Simplify (* 1 1) into 1 8.873 * [backup-simplify]: Simplify (+ 0 1) into 1 8.873 * [backup-simplify]: Simplify (sqrt 1) into 1 8.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.875 * [backup-simplify]: Simplify (+ 0 0) into 0 8.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.875 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.876 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.876 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.876 * [taylor]: Taking taylor expansion of 1 in x 8.876 * [backup-simplify]: Simplify 1 into 1 8.876 * [taylor]: Taking taylor expansion of 1 in x 8.876 * [backup-simplify]: Simplify 1 into 1 8.876 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.876 * [taylor]: Taking taylor expansion of x in x 8.876 * [backup-simplify]: Simplify 0 into 0 8.876 * [backup-simplify]: Simplify 1 into 1 8.876 * [backup-simplify]: Simplify (/ 1 1) into 1 8.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.876 * [taylor]: Taking taylor expansion of x in x 8.876 * [backup-simplify]: Simplify 0 into 0 8.876 * [backup-simplify]: Simplify 1 into 1 8.876 * [backup-simplify]: Simplify (/ 1 1) into 1 8.877 * [backup-simplify]: Simplify (* 1 1) into 1 8.877 * [backup-simplify]: Simplify (+ 0 1) into 1 8.877 * [backup-simplify]: Simplify (sqrt 1) into 1 8.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.879 * [backup-simplify]: Simplify (+ 0 0) into 0 8.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.879 * [backup-simplify]: Simplify 1 into 1 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify (* 1 1) into 1 8.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.886 * [backup-simplify]: Simplify (+ 1 0) into 1 8.887 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.887 * [backup-simplify]: Simplify 1/2 into 1/2 8.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.890 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.894 * [backup-simplify]: Simplify -1/8 into -1/8 8.894 * [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)))) 8.894 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 8.894 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 8.894 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.894 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.894 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.894 * [taylor]: Taking taylor expansion of 1 in x 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [taylor]: Taking taylor expansion of 1 in x 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.894 * [taylor]: Taking taylor expansion of -1 in x 8.894 * [backup-simplify]: Simplify -1 into -1 8.894 * [taylor]: Taking taylor expansion of x in x 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.895 * [backup-simplify]: Simplify (/ -1 1) into -1 8.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.895 * [taylor]: Taking taylor expansion of -1 in x 8.895 * [backup-simplify]: Simplify -1 into -1 8.895 * [taylor]: Taking taylor expansion of x in x 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [backup-simplify]: Simplify (/ -1 1) into -1 8.895 * [backup-simplify]: Simplify (* -1 -1) into 1 8.896 * [backup-simplify]: Simplify (+ 0 1) into 1 8.896 * [backup-simplify]: Simplify (sqrt 1) into 1 8.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.897 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.897 * [backup-simplify]: Simplify (+ 0 0) into 0 8.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.898 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.898 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.898 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.898 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.898 * [taylor]: Taking taylor expansion of 1 in x 8.898 * [backup-simplify]: Simplify 1 into 1 8.898 * [taylor]: Taking taylor expansion of 1 in x 8.898 * [backup-simplify]: Simplify 1 into 1 8.898 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.898 * [taylor]: Taking taylor expansion of -1 in x 8.898 * [backup-simplify]: Simplify -1 into -1 8.898 * [taylor]: Taking taylor expansion of x in x 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 1 into 1 8.898 * [backup-simplify]: Simplify (/ -1 1) into -1 8.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.898 * [taylor]: Taking taylor expansion of -1 in x 8.898 * [backup-simplify]: Simplify -1 into -1 8.899 * [taylor]: Taking taylor expansion of x in x 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.899 * [backup-simplify]: Simplify (/ -1 1) into -1 8.899 * [backup-simplify]: Simplify (* -1 -1) into 1 8.899 * [backup-simplify]: Simplify (+ 0 1) into 1 8.900 * [backup-simplify]: Simplify (sqrt 1) into 1 8.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.901 * [backup-simplify]: Simplify (+ 0 0) into 0 8.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify (* 1 1) into 1 8.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.904 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.904 * [backup-simplify]: Simplify (+ 1 0) into 1 8.905 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.905 * [backup-simplify]: Simplify 1/2 into 1/2 8.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.907 * [backup-simplify]: Simplify (+ 0 0) into 0 8.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.908 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.912 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.912 * [backup-simplify]: Simplify -1/8 into -1/8 8.912 * [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)))) 8.913 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 8.913 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 8.913 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 8.913 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.913 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.913 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.913 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.913 * [taylor]: Taking taylor expansion of 1 in x 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [taylor]: Taking taylor expansion of 1 in x 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [taylor]: Taking taylor expansion of (* x x) in x 8.913 * [taylor]: Taking taylor expansion of x in x 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [taylor]: Taking taylor expansion of x in x 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (* 1 1) into 1 8.913 * [backup-simplify]: Simplify (* 0 0) into 0 8.914 * [backup-simplify]: Simplify (+ 1 0) into 1 8.914 * [backup-simplify]: Simplify (sqrt 1) into 1 8.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.915 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.915 * [backup-simplify]: Simplify (+ 0 0) into 0 8.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.916 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.916 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.916 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.916 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.916 * [taylor]: Taking taylor expansion of 1 in x 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of 1 in x 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of (* x x) in x 8.916 * [taylor]: Taking taylor expansion of x in x 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of x in x 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (* 1 1) into 1 8.917 * [backup-simplify]: Simplify (* 0 0) into 0 8.917 * [backup-simplify]: Simplify (+ 1 0) into 1 8.917 * [backup-simplify]: Simplify (sqrt 1) into 1 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.918 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.918 * [backup-simplify]: Simplify (+ 0 0) into 0 8.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.920 * [backup-simplify]: Simplify (+ 0 1) into 1 8.921 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.921 * [backup-simplify]: Simplify 1/2 into 1/2 8.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.922 * [backup-simplify]: Simplify (+ 0 0) into 0 8.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.923 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.925 * [backup-simplify]: Simplify (+ 0 0) into 0 8.926 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.926 * [backup-simplify]: Simplify -1/8 into -1/8 8.926 * [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))) 8.926 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 8.926 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 8.926 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.926 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.926 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.926 * [taylor]: Taking taylor expansion of 1 in x 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [taylor]: Taking taylor expansion of 1 in x 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.926 * [taylor]: Taking taylor expansion of x in x 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [backup-simplify]: Simplify (/ 1 1) into 1 8.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.926 * [taylor]: Taking taylor expansion of x in x 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (/ 1 1) into 1 8.927 * [backup-simplify]: Simplify (* 1 1) into 1 8.927 * [backup-simplify]: Simplify (+ 0 1) into 1 8.927 * [backup-simplify]: Simplify (sqrt 1) into 1 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.929 * [backup-simplify]: Simplify (+ 0 0) into 0 8.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.929 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.930 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.930 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.930 * [taylor]: Taking taylor expansion of 1 in x 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of 1 in x 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.930 * [taylor]: Taking taylor expansion of x in x 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.930 * [taylor]: Taking taylor expansion of x in x 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.931 * [backup-simplify]: Simplify (* 1 1) into 1 8.931 * [backup-simplify]: Simplify (+ 0 1) into 1 8.931 * [backup-simplify]: Simplify (sqrt 1) into 1 8.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.933 * [backup-simplify]: Simplify (+ 0 0) into 0 8.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.933 * [backup-simplify]: Simplify 1 into 1 8.933 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify (* 1 1) into 1 8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.936 * [backup-simplify]: Simplify (+ 1 0) into 1 8.936 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.939 * [backup-simplify]: Simplify (+ 0 0) into 0 8.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.939 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.943 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.943 * [backup-simplify]: Simplify -1/8 into -1/8 8.943 * [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)))) 8.943 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 8.943 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 8.943 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.943 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.943 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.943 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.943 * [taylor]: Taking taylor expansion of 1 in x 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [taylor]: Taking taylor expansion of 1 in x 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.944 * [taylor]: Taking taylor expansion of -1 in x 8.944 * [backup-simplify]: Simplify -1 into -1 8.944 * [taylor]: Taking taylor expansion of x in x 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ -1 1) into -1 8.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.944 * [taylor]: Taking taylor expansion of -1 in x 8.944 * [backup-simplify]: Simplify -1 into -1 8.944 * [taylor]: Taking taylor expansion of x in x 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (/ -1 1) into -1 8.945 * [backup-simplify]: Simplify (* -1 -1) into 1 8.945 * [backup-simplify]: Simplify (+ 0 1) into 1 8.946 * [backup-simplify]: Simplify (sqrt 1) into 1 8.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.949 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.949 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.949 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.949 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.949 * [taylor]: Taking taylor expansion of 1 in x 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of 1 in x 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.949 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.949 * [taylor]: Taking taylor expansion of -1 in x 8.949 * [backup-simplify]: Simplify -1 into -1 8.949 * [taylor]: Taking taylor expansion of x in x 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (/ -1 1) into -1 8.950 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.950 * [taylor]: Taking taylor expansion of -1 in x 8.950 * [backup-simplify]: Simplify -1 into -1 8.950 * [taylor]: Taking taylor expansion of x in x 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (/ -1 1) into -1 8.951 * [backup-simplify]: Simplify (* -1 -1) into 1 8.951 * [backup-simplify]: Simplify (+ 0 1) into 1 8.951 * [backup-simplify]: Simplify (sqrt 1) into 1 8.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.954 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.954 * [backup-simplify]: Simplify (+ 0 0) into 0 8.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (* 1 1) into 1 8.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.958 * [backup-simplify]: Simplify (+ 1 0) into 1 8.959 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.959 * [backup-simplify]: Simplify 1/2 into 1/2 8.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.963 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.963 * [backup-simplify]: Simplify (+ 0 0) into 0 8.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.969 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 8.970 * [backup-simplify]: Simplify (+ 0 0) into 0 8.971 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.971 * [backup-simplify]: Simplify -1/8 into -1/8 8.971 * [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)))) 8.971 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 8.971 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 8.971 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 8.971 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 8.971 * [taylor]: Taking taylor expansion of 1/2 in x 8.972 * [backup-simplify]: Simplify 1/2 into 1/2 8.972 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.972 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.972 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.972 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.972 * [taylor]: Taking taylor expansion of 1 in x 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [taylor]: Taking taylor expansion of 1 in x 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [taylor]: Taking taylor expansion of (* x x) in x 8.972 * [taylor]: Taking taylor expansion of x in x 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [taylor]: Taking taylor expansion of x in x 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [backup-simplify]: Simplify (* 1 1) into 1 8.973 * [backup-simplify]: Simplify (* 0 0) into 0 8.973 * [backup-simplify]: Simplify (+ 1 0) into 1 8.973 * [backup-simplify]: Simplify (sqrt 1) into 1 8.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.975 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.975 * [backup-simplify]: Simplify (+ 0 0) into 0 8.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.976 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.976 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 8.976 * [taylor]: Taking taylor expansion of 1/2 in x 8.976 * [backup-simplify]: Simplify 1/2 into 1/2 8.976 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.976 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.976 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.976 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.976 * [taylor]: Taking taylor expansion of 1 in x 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [taylor]: Taking taylor expansion of 1 in x 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [taylor]: Taking taylor expansion of (* x x) in x 8.977 * [taylor]: Taking taylor expansion of x in x 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [taylor]: Taking taylor expansion of x in x 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [backup-simplify]: Simplify (* 1 1) into 1 8.977 * [backup-simplify]: Simplify (* 0 0) into 0 8.978 * [backup-simplify]: Simplify (+ 1 0) into 1 8.978 * [backup-simplify]: Simplify (sqrt 1) into 1 8.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.979 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.980 * [backup-simplify]: Simplify (+ 0 0) into 0 8.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.981 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.981 * [backup-simplify]: Simplify 1/2 into 1/2 8.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.984 * [backup-simplify]: Simplify (+ 0 1) into 1 8.985 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 8.986 * [backup-simplify]: Simplify -1/4 into -1/4 8.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.988 * [backup-simplify]: Simplify (+ 0 0) into 0 8.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.999 * [backup-simplify]: Simplify (+ 0 0) into 0 9.000 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 9.002 * [backup-simplify]: Simplify 3/16 into 3/16 9.002 * [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))) 9.002 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 9.002 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 9.002 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 9.002 * [taylor]: Taking taylor expansion of 1/2 in x 9.002 * [backup-simplify]: Simplify 1/2 into 1/2 9.002 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.002 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.002 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.002 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.002 * [taylor]: Taking taylor expansion of 1 in x 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [taylor]: Taking taylor expansion of 1 in x 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.002 * [taylor]: Taking taylor expansion of x in x 9.002 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [backup-simplify]: Simplify (/ 1 1) into 1 9.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.003 * [taylor]: Taking taylor expansion of x in x 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [backup-simplify]: Simplify (/ 1 1) into 1 9.004 * [backup-simplify]: Simplify (* 1 1) into 1 9.004 * [backup-simplify]: Simplify (+ 0 1) into 1 9.004 * [backup-simplify]: Simplify (sqrt 1) into 1 9.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.007 * [backup-simplify]: Simplify (+ 0 0) into 0 9.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.008 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.008 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 9.008 * [taylor]: Taking taylor expansion of 1/2 in x 9.008 * [backup-simplify]: Simplify 1/2 into 1/2 9.008 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.008 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.008 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.008 * [taylor]: Taking taylor expansion of 1 in x 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [taylor]: Taking taylor expansion of 1 in x 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.008 * [taylor]: Taking taylor expansion of x in x 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ 1 1) into 1 9.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.009 * [taylor]: Taking taylor expansion of x in x 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ 1 1) into 1 9.009 * [backup-simplify]: Simplify (* 1 1) into 1 9.010 * [backup-simplify]: Simplify (+ 0 1) into 1 9.010 * [backup-simplify]: Simplify (sqrt 1) into 1 9.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.012 * [backup-simplify]: Simplify (+ 0 0) into 0 9.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.013 * [backup-simplify]: Simplify 1/2 into 1/2 9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (* 1 1) into 1 9.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.018 * [backup-simplify]: Simplify (+ 1 0) into 1 9.019 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.020 * [backup-simplify]: Simplify -1/4 into -1/4 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 9.027 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.032 * [backup-simplify]: Simplify (+ 0 0) into 0 9.033 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 9.035 * [backup-simplify]: Simplify 3/16 into 3/16 9.035 * [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)))) 9.035 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 9.035 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 9.035 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 9.035 * [taylor]: Taking taylor expansion of 1/2 in x 9.035 * [backup-simplify]: Simplify 1/2 into 1/2 9.036 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.036 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.036 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.036 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.036 * [taylor]: Taking taylor expansion of 1 in x 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [taylor]: Taking taylor expansion of 1 in x 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.036 * [taylor]: Taking taylor expansion of -1 in x 9.036 * [backup-simplify]: Simplify -1 into -1 9.036 * [taylor]: Taking taylor expansion of x in x 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (/ -1 1) into -1 9.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.036 * [taylor]: Taking taylor expansion of -1 in x 9.036 * [backup-simplify]: Simplify -1 into -1 9.037 * [taylor]: Taking taylor expansion of x in x 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.037 * [backup-simplify]: Simplify (/ -1 1) into -1 9.037 * [backup-simplify]: Simplify (* -1 -1) into 1 9.038 * [backup-simplify]: Simplify (+ 0 1) into 1 9.038 * [backup-simplify]: Simplify (sqrt 1) into 1 9.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.041 * [backup-simplify]: Simplify (+ 0 0) into 0 9.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.042 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.042 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 9.042 * [taylor]: Taking taylor expansion of 1/2 in x 9.042 * [backup-simplify]: Simplify 1/2 into 1/2 9.042 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.042 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.042 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.042 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.042 * [taylor]: Taking taylor expansion of 1 in x 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [taylor]: Taking taylor expansion of 1 in x 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.042 * [taylor]: Taking taylor expansion of -1 in x 9.042 * [backup-simplify]: Simplify -1 into -1 9.042 * [taylor]: Taking taylor expansion of x in x 9.042 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (/ -1 1) into -1 9.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.043 * [taylor]: Taking taylor expansion of -1 in x 9.043 * [backup-simplify]: Simplify -1 into -1 9.043 * [taylor]: Taking taylor expansion of x in x 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (/ -1 1) into -1 9.044 * [backup-simplify]: Simplify (* -1 -1) into 1 9.044 * [backup-simplify]: Simplify (+ 0 1) into 1 9.045 * [backup-simplify]: Simplify (sqrt 1) into 1 9.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.047 * [backup-simplify]: Simplify (+ 0 0) into 0 9.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.049 * [backup-simplify]: Simplify 1/2 into 1/2 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify (* 1 1) into 1 9.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.054 * [backup-simplify]: Simplify (+ 1 0) into 1 9.055 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 9.056 * [backup-simplify]: Simplify -1/4 into -1/4 9.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 9.069 * [backup-simplify]: Simplify (+ 0 0) into 0 9.071 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 9.073 * [backup-simplify]: Simplify 3/16 into 3/16 9.074 * [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)))) 9.074 * * * [progress]: simplifying candidates 9.074 * * * * [progress]: [ 1 / 124 ] simplifiying candidate # 9.074 * * * * [progress]: [ 2 / 124 ] simplifiying candidate # 9.074 * * * * [progress]: [ 3 / 124 ] simplifiying candidate # 9.074 * * * * [progress]: [ 4 / 124 ] simplifiying candidate # 9.074 * * * * [progress]: [ 5 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 6 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 7 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 8 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 9 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 10 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 11 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 12 / 124 ] simplifiying candidate # 9.075 * * * * [progress]: [ 13 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 14 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 15 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 16 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 17 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 18 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 19 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 20 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 21 / 124 ] simplifiying candidate # 9.076 * * * * [progress]: [ 22 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 23 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 24 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 25 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 26 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 27 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 28 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 29 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 30 / 124 ] simplifiying candidate # 9.077 * * * * [progress]: [ 31 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 32 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 33 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 34 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 35 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 36 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 37 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 38 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 39 / 124 ] simplifiying candidate # 9.078 * * * * [progress]: [ 40 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 41 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 42 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 43 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 44 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 45 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 46 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 47 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 48 / 124 ] simplifiying candidate # 9.079 * * * * [progress]: [ 49 / 124 ] simplifiying candidate # 9.080 * * * * [progress]: [ 50 / 124 ] simplifiying candidate # 9.080 * * * * [progress]: [ 51 / 124 ] simplifiying candidate # 9.080 * * * * [progress]: [ 52 / 124 ] simplifiying candidate # 9.080 * * * * [progress]: [ 53 / 124 ] simplifiying candidate # 9.080 * * * * [progress]: [ 54 / 124 ] simplifiying candidate # 9.080 * * * * [progress]: [ 55 / 124 ] simplifiying candidate # 9.080 * * * * [progress]: [ 56 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 57 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 58 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 59 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 60 / 124 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 9.081 * * * * [progress]: [ 61 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 62 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 63 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 64 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 65 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 66 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 67 / 124 ] simplifiying candidate # 9.081 * * * * [progress]: [ 68 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 69 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 70 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 71 / 124 ] simplifiying candidate #real (real->posit16 (hypot 1 x)))))))))> 9.082 * * * * [progress]: [ 72 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 73 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 74 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 75 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 76 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 77 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 78 / 124 ] simplifiying candidate # 9.082 * * * * [progress]: [ 79 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 80 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 81 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 82 / 124 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 9.083 * * * * [progress]: [ 83 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 84 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 85 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 86 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 87 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 88 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 89 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 90 / 124 ] simplifiying candidate # 9.083 * * * * [progress]: [ 91 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 92 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 93 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 94 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 95 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 96 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 97 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 98 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 99 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 100 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 101 / 124 ] simplifiying candidate # 9.084 * * * * [progress]: [ 102 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 103 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 104 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 105 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 106 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 107 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 108 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 109 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 110 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 111 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 112 / 124 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 9.085 * * * * [progress]: [ 113 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 114 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 115 / 124 ] simplifiying candidate # 9.085 * * * * [progress]: [ 116 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 117 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 118 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 119 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 120 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 121 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 122 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 123 / 124 ] simplifiying candidate # 9.086 * * * * [progress]: [ 124 / 124 ] simplifiying candidate # 9.089 * [simplify]: Simplifying: (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 (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 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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))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (* 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)))) 9.094 * * [simplify]: iteration 1: (217 enodes) 9.269 * * [simplify]: iteration 2: (530 enodes) 9.585 * * [simplify]: iteration 3: (1329 enodes) 12.000 * * [simplify]: Extracting #0: cost 77 inf + 0 12.001 * * [simplify]: Extracting #1: cost 461 inf + 44 12.005 * * [simplify]: Extracting #2: cost 731 inf + 9407 12.018 * * [simplify]: Extracting #3: cost 500 inf + 63385 12.070 * * [simplify]: Extracting #4: cost 162 inf + 149855 12.121 * * [simplify]: Extracting #5: cost 13 inf + 197424 12.167 * * [simplify]: Extracting #6: cost 2 inf + 201071 12.223 * * [simplify]: Extracting #7: cost 0 inf + 201561 12.262 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (/ (* (/ 1 (cbrt (hypot 1 x))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (cbrt (hypot 1 x))) (- 1/2 (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ -1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (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 (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 (/ 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))) (fma (* (* x x) (* x x)) -3/16 (fma (* x x) 1/4 (* (* 5/32 (* (* x x) (* x x))) (* x x)))) (- 1/2 (- (/ 1/2 x) (/ 1/4 (* x (* x x))))) (+ 1/2 (- (/ 1/2 x) (/ 1/4 (* x (* x x))))) (fma -1/8 (* (* x x) (* x x)) (fma (* x x) 1/2 1)) (- (+ (/ 1/2 x) x) (/ 1/8 (* x (* x x)))) (+ (- (/ -1/2 x) x) (/ 1/8 (* x (* x x)))) (fma -1/8 (* (* x x) (* x x)) (fma (* x x) 1/2 1)) (- (+ (/ 1/2 x) x) (/ 1/8 (* x (* x x)))) (+ (- (/ -1/2 x) x) (/ 1/8 (* x (* x x)))) (fma -1/4 (* x x) (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (+ (/ 3/16 (pow x 5)) (/ -1/4 (* x (* x x)))) (/ 1/2 x)) (- (+ (/ -3/16 (pow x 5)) (/ 1/4 (* x (* x x)))) (/ 1/2 x)) 12.275 * * * [progress]: adding candidates to table 13.458 * * [progress]: iteration 4 / 4 13.458 * * * [progress]: picking best candidate 13.471 * * * * [pick]: Picked # 13.471 * * * [progress]: localizing error 13.502 * * * [progress]: generating rewritten candidates 13.502 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 13.509 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 13.519 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 13.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 13.585 * * * [progress]: generating series expansions 13.585 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 13.586 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.586 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 13.586 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.586 * [taylor]: Taking taylor expansion of 1/2 in x 13.586 * [backup-simplify]: Simplify 1/2 into 1/2 13.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.586 * [taylor]: Taking taylor expansion of 1/2 in x 13.586 * [backup-simplify]: Simplify 1/2 into 1/2 13.586 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.586 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.586 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.586 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.586 * [taylor]: Taking taylor expansion of 1 in x 13.586 * [backup-simplify]: Simplify 1 into 1 13.586 * [taylor]: Taking taylor expansion of 1 in x 13.586 * [backup-simplify]: Simplify 1 into 1 13.586 * [taylor]: Taking taylor expansion of (* x x) in x 13.586 * [taylor]: Taking taylor expansion of x in x 13.586 * [backup-simplify]: Simplify 0 into 0 13.586 * [backup-simplify]: Simplify 1 into 1 13.586 * [taylor]: Taking taylor expansion of x in x 13.586 * [backup-simplify]: Simplify 0 into 0 13.586 * [backup-simplify]: Simplify 1 into 1 13.587 * [backup-simplify]: Simplify (* 1 1) into 1 13.587 * [backup-simplify]: Simplify (* 0 0) into 0 13.588 * [backup-simplify]: Simplify (+ 1 0) into 1 13.588 * [backup-simplify]: Simplify (sqrt 1) into 1 13.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.589 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.590 * [backup-simplify]: Simplify (+ 0 0) into 0 13.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.591 * [backup-simplify]: Simplify (/ 1 1) into 1 13.591 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.591 * [taylor]: Taking taylor expansion of 1/2 in x 13.591 * [backup-simplify]: Simplify 1/2 into 1/2 13.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.591 * [taylor]: Taking taylor expansion of 1/2 in x 13.591 * [backup-simplify]: Simplify 1/2 into 1/2 13.591 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.591 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.591 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.591 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.591 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.591 * [taylor]: Taking taylor expansion of 1 in x 13.591 * [backup-simplify]: Simplify 1 into 1 13.591 * [taylor]: Taking taylor expansion of 1 in x 13.591 * [backup-simplify]: Simplify 1 into 1 13.591 * [taylor]: Taking taylor expansion of (* x x) in x 13.591 * [taylor]: Taking taylor expansion of x in x 13.591 * [backup-simplify]: Simplify 0 into 0 13.591 * [backup-simplify]: Simplify 1 into 1 13.591 * [taylor]: Taking taylor expansion of x in x 13.591 * [backup-simplify]: Simplify 0 into 0 13.591 * [backup-simplify]: Simplify 1 into 1 13.592 * [backup-simplify]: Simplify (* 1 1) into 1 13.592 * [backup-simplify]: Simplify (* 0 0) into 0 13.592 * [backup-simplify]: Simplify (+ 1 0) into 1 13.593 * [backup-simplify]: Simplify (sqrt 1) into 1 13.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.594 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.595 * [backup-simplify]: Simplify (+ 0 0) into 0 13.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.596 * [backup-simplify]: Simplify (/ 1 1) into 1 13.596 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.597 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.597 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 13.597 * [backup-simplify]: Simplify 0 into 0 13.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.599 * [backup-simplify]: Simplify (- 0) into 0 13.599 * [backup-simplify]: Simplify (+ 0 0) into 0 13.599 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.601 * [backup-simplify]: Simplify (+ 0 1) into 1 13.602 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.604 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.605 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.605 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.605 * [backup-simplify]: Simplify 1/4 into 1/4 13.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.608 * [backup-simplify]: Simplify (+ 0 0) into 0 13.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.617 * [backup-simplify]: Simplify (- 0) into 0 13.618 * [backup-simplify]: Simplify (+ 0 0) into 0 13.618 * [backup-simplify]: Simplify 0 into 0 13.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.620 * [backup-simplify]: Simplify (+ 0 0) into 0 13.621 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.623 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.623 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.623 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.623 * [backup-simplify]: Simplify -3/16 into -3/16 13.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.625 * [backup-simplify]: Simplify (+ 0 0) into 0 13.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 13.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 13.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 13.629 * [backup-simplify]: Simplify (- 0) into 0 13.629 * [backup-simplify]: Simplify (+ 0 0) into 0 13.629 * [backup-simplify]: Simplify 0 into 0 13.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.631 * [backup-simplify]: Simplify (+ 0 0) into 0 13.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 13.633 * [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 13.635 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 13.635 * [backup-simplify]: Simplify (- -5/32) into 5/32 13.635 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 13.635 * [backup-simplify]: Simplify 5/32 into 5/32 13.636 * [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))) 13.636 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.636 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 13.636 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.636 * [taylor]: Taking taylor expansion of 1/2 in x 13.636 * [backup-simplify]: Simplify 1/2 into 1/2 13.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.636 * [taylor]: Taking taylor expansion of 1/2 in x 13.636 * [backup-simplify]: Simplify 1/2 into 1/2 13.636 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.636 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.636 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.636 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.636 * [taylor]: Taking taylor expansion of 1 in x 13.636 * [backup-simplify]: Simplify 1 into 1 13.636 * [taylor]: Taking taylor expansion of 1 in x 13.636 * [backup-simplify]: Simplify 1 into 1 13.636 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.636 * [taylor]: Taking taylor expansion of x in x 13.636 * [backup-simplify]: Simplify 0 into 0 13.636 * [backup-simplify]: Simplify 1 into 1 13.636 * [backup-simplify]: Simplify (/ 1 1) into 1 13.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.636 * [taylor]: Taking taylor expansion of x in x 13.636 * [backup-simplify]: Simplify 0 into 0 13.636 * [backup-simplify]: Simplify 1 into 1 13.637 * [backup-simplify]: Simplify (/ 1 1) into 1 13.637 * [backup-simplify]: Simplify (* 1 1) into 1 13.637 * [backup-simplify]: Simplify (+ 0 1) into 1 13.637 * [backup-simplify]: Simplify (sqrt 1) into 1 13.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.639 * [backup-simplify]: Simplify (+ 0 0) into 0 13.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.640 * [backup-simplify]: Simplify (/ 1 1) into 1 13.640 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.640 * [taylor]: Taking taylor expansion of 1/2 in x 13.640 * [backup-simplify]: Simplify 1/2 into 1/2 13.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.640 * [taylor]: Taking taylor expansion of 1/2 in x 13.640 * [backup-simplify]: Simplify 1/2 into 1/2 13.640 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.640 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.640 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.641 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.641 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.641 * [taylor]: Taking taylor expansion of 1 in x 13.641 * [backup-simplify]: Simplify 1 into 1 13.641 * [taylor]: Taking taylor expansion of 1 in x 13.641 * [backup-simplify]: Simplify 1 into 1 13.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.641 * [taylor]: Taking taylor expansion of x in x 13.641 * [backup-simplify]: Simplify 0 into 0 13.641 * [backup-simplify]: Simplify 1 into 1 13.641 * [backup-simplify]: Simplify (/ 1 1) into 1 13.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.641 * [taylor]: Taking taylor expansion of x in x 13.641 * [backup-simplify]: Simplify 0 into 0 13.641 * [backup-simplify]: Simplify 1 into 1 13.642 * [backup-simplify]: Simplify (/ 1 1) into 1 13.642 * [backup-simplify]: Simplify (* 1 1) into 1 13.642 * [backup-simplify]: Simplify (+ 0 1) into 1 13.643 * [backup-simplify]: Simplify (sqrt 1) into 1 13.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.645 * [backup-simplify]: Simplify (+ 0 0) into 0 13.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.645 * [backup-simplify]: Simplify (/ 1 1) into 1 13.646 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.646 * [backup-simplify]: Simplify 1/2 into 1/2 13.646 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.646 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.647 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.647 * [backup-simplify]: Simplify -1/2 into -1/2 13.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.648 * [backup-simplify]: Simplify (- 0) into 0 13.648 * [backup-simplify]: Simplify (+ 0 0) into 0 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify (* 1 1) into 1 13.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.650 * [backup-simplify]: Simplify (+ 1 0) into 1 13.651 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.652 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.652 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.653 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.653 * [backup-simplify]: Simplify 1/4 into 1/4 13.653 * [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))) 13.653 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.653 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 13.653 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.653 * [taylor]: Taking taylor expansion of 1/2 in x 13.653 * [backup-simplify]: Simplify 1/2 into 1/2 13.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.653 * [taylor]: Taking taylor expansion of 1/2 in x 13.653 * [backup-simplify]: Simplify 1/2 into 1/2 13.653 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.653 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.653 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.653 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.653 * [taylor]: Taking taylor expansion of 1 in x 13.653 * [backup-simplify]: Simplify 1 into 1 13.653 * [taylor]: Taking taylor expansion of 1 in x 13.653 * [backup-simplify]: Simplify 1 into 1 13.653 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.653 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.653 * [taylor]: Taking taylor expansion of -1 in x 13.653 * [backup-simplify]: Simplify -1 into -1 13.653 * [taylor]: Taking taylor expansion of x in x 13.653 * [backup-simplify]: Simplify 0 into 0 13.653 * [backup-simplify]: Simplify 1 into 1 13.654 * [backup-simplify]: Simplify (/ -1 1) into -1 13.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.654 * [taylor]: Taking taylor expansion of -1 in x 13.654 * [backup-simplify]: Simplify -1 into -1 13.654 * [taylor]: Taking taylor expansion of x in x 13.654 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify 1 into 1 13.654 * [backup-simplify]: Simplify (/ -1 1) into -1 13.654 * [backup-simplify]: Simplify (* -1 -1) into 1 13.655 * [backup-simplify]: Simplify (+ 0 1) into 1 13.655 * [backup-simplify]: Simplify (sqrt 1) into 1 13.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.656 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.657 * [backup-simplify]: Simplify (+ 0 0) into 0 13.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.657 * [backup-simplify]: Simplify (/ 1 1) into 1 13.657 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.657 * [taylor]: Taking taylor expansion of 1/2 in x 13.657 * [backup-simplify]: Simplify 1/2 into 1/2 13.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.657 * [taylor]: Taking taylor expansion of 1/2 in x 13.657 * [backup-simplify]: Simplify 1/2 into 1/2 13.657 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.657 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.657 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.658 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.658 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.658 * [taylor]: Taking taylor expansion of 1 in x 13.658 * [backup-simplify]: Simplify 1 into 1 13.658 * [taylor]: Taking taylor expansion of 1 in x 13.658 * [backup-simplify]: Simplify 1 into 1 13.658 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.658 * [taylor]: Taking taylor expansion of -1 in x 13.658 * [backup-simplify]: Simplify -1 into -1 13.658 * [taylor]: Taking taylor expansion of x in x 13.658 * [backup-simplify]: Simplify 0 into 0 13.658 * [backup-simplify]: Simplify 1 into 1 13.658 * [backup-simplify]: Simplify (/ -1 1) into -1 13.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.658 * [taylor]: Taking taylor expansion of -1 in x 13.658 * [backup-simplify]: Simplify -1 into -1 13.658 * [taylor]: Taking taylor expansion of x in x 13.658 * [backup-simplify]: Simplify 0 into 0 13.658 * [backup-simplify]: Simplify 1 into 1 13.658 * [backup-simplify]: Simplify (/ -1 1) into -1 13.659 * [backup-simplify]: Simplify (* -1 -1) into 1 13.659 * [backup-simplify]: Simplify (+ 0 1) into 1 13.659 * [backup-simplify]: Simplify (sqrt 1) into 1 13.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.661 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.661 * [backup-simplify]: Simplify (+ 0 0) into 0 13.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.661 * [backup-simplify]: Simplify (/ 1 1) into 1 13.662 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.662 * [backup-simplify]: Simplify 1/2 into 1/2 13.662 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.662 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.663 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.663 * [backup-simplify]: Simplify -1/2 into -1/2 13.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.664 * [backup-simplify]: Simplify (- 0) into 0 13.664 * [backup-simplify]: Simplify (+ 0 0) into 0 13.664 * [backup-simplify]: Simplify 0 into 0 13.664 * [backup-simplify]: Simplify (* 1 1) into 1 13.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.666 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.667 * [backup-simplify]: Simplify (+ 1 0) into 1 13.667 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.668 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.669 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.669 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.669 * [backup-simplify]: Simplify 1/4 into 1/4 13.669 * [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)))) 13.669 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 13.670 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.670 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 13.670 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.670 * [taylor]: Taking taylor expansion of 1/2 in x 13.670 * [backup-simplify]: Simplify 1/2 into 1/2 13.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.670 * [taylor]: Taking taylor expansion of 1/2 in x 13.670 * [backup-simplify]: Simplify 1/2 into 1/2 13.670 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.670 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.670 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.670 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.670 * [taylor]: Taking taylor expansion of 1 in x 13.670 * [backup-simplify]: Simplify 1 into 1 13.670 * [taylor]: Taking taylor expansion of 1 in x 13.670 * [backup-simplify]: Simplify 1 into 1 13.670 * [taylor]: Taking taylor expansion of (* x x) in x 13.670 * [taylor]: Taking taylor expansion of x in x 13.670 * [backup-simplify]: Simplify 0 into 0 13.670 * [backup-simplify]: Simplify 1 into 1 13.670 * [taylor]: Taking taylor expansion of x in x 13.670 * [backup-simplify]: Simplify 0 into 0 13.670 * [backup-simplify]: Simplify 1 into 1 13.670 * [backup-simplify]: Simplify (* 1 1) into 1 13.671 * [backup-simplify]: Simplify (* 0 0) into 0 13.671 * [backup-simplify]: Simplify (+ 1 0) into 1 13.671 * [backup-simplify]: Simplify (sqrt 1) into 1 13.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.672 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.673 * [backup-simplify]: Simplify (+ 0 0) into 0 13.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.673 * [backup-simplify]: Simplify (/ 1 1) into 1 13.673 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.673 * [taylor]: Taking taylor expansion of 1/2 in x 13.673 * [backup-simplify]: Simplify 1/2 into 1/2 13.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.673 * [taylor]: Taking taylor expansion of 1/2 in x 13.673 * [backup-simplify]: Simplify 1/2 into 1/2 13.673 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.673 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.673 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.673 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.673 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.673 * [taylor]: Taking taylor expansion of 1 in x 13.673 * [backup-simplify]: Simplify 1 into 1 13.673 * [taylor]: Taking taylor expansion of 1 in x 13.674 * [backup-simplify]: Simplify 1 into 1 13.674 * [taylor]: Taking taylor expansion of (* x x) in x 13.674 * [taylor]: Taking taylor expansion of x in x 13.674 * [backup-simplify]: Simplify 0 into 0 13.674 * [backup-simplify]: Simplify 1 into 1 13.674 * [taylor]: Taking taylor expansion of x in x 13.674 * [backup-simplify]: Simplify 0 into 0 13.674 * [backup-simplify]: Simplify 1 into 1 13.674 * [backup-simplify]: Simplify (* 1 1) into 1 13.674 * [backup-simplify]: Simplify (* 0 0) into 0 13.674 * [backup-simplify]: Simplify (+ 1 0) into 1 13.675 * [backup-simplify]: Simplify (sqrt 1) into 1 13.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.675 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.676 * [backup-simplify]: Simplify (+ 0 0) into 0 13.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.676 * [backup-simplify]: Simplify (/ 1 1) into 1 13.677 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.677 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.677 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 13.677 * [backup-simplify]: Simplify 0 into 0 13.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.678 * [backup-simplify]: Simplify (- 0) into 0 13.679 * [backup-simplify]: Simplify (+ 0 0) into 0 13.679 * [backup-simplify]: Simplify 0 into 0 13.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.680 * [backup-simplify]: Simplify (+ 0 1) into 1 13.680 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.682 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.682 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.682 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.682 * [backup-simplify]: Simplify 1/4 into 1/4 13.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.684 * [backup-simplify]: Simplify (+ 0 0) into 0 13.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.686 * [backup-simplify]: Simplify (- 0) into 0 13.687 * [backup-simplify]: Simplify (+ 0 0) into 0 13.687 * [backup-simplify]: Simplify 0 into 0 13.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.688 * [backup-simplify]: Simplify (+ 0 0) into 0 13.689 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.691 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.691 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.692 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.692 * [backup-simplify]: Simplify -3/16 into -3/16 13.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.693 * [backup-simplify]: Simplify (+ 0 0) into 0 13.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 13.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 13.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 13.697 * [backup-simplify]: Simplify (- 0) into 0 13.697 * [backup-simplify]: Simplify (+ 0 0) into 0 13.697 * [backup-simplify]: Simplify 0 into 0 13.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.699 * [backup-simplify]: Simplify (+ 0 0) into 0 13.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 13.702 * [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 13.708 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 13.709 * [backup-simplify]: Simplify (- -5/32) into 5/32 13.709 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 13.709 * [backup-simplify]: Simplify 5/32 into 5/32 13.710 * [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))) 13.710 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.710 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 13.710 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.710 * [taylor]: Taking taylor expansion of 1/2 in x 13.710 * [backup-simplify]: Simplify 1/2 into 1/2 13.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.710 * [taylor]: Taking taylor expansion of 1/2 in x 13.710 * [backup-simplify]: Simplify 1/2 into 1/2 13.710 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.710 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.710 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.710 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.710 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.710 * [taylor]: Taking taylor expansion of 1 in x 13.710 * [backup-simplify]: Simplify 1 into 1 13.710 * [taylor]: Taking taylor expansion of 1 in x 13.710 * [backup-simplify]: Simplify 1 into 1 13.710 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.710 * [taylor]: Taking taylor expansion of x in x 13.710 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify 1 into 1 13.711 * [backup-simplify]: Simplify (/ 1 1) into 1 13.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.711 * [taylor]: Taking taylor expansion of x in x 13.711 * [backup-simplify]: Simplify 0 into 0 13.711 * [backup-simplify]: Simplify 1 into 1 13.711 * [backup-simplify]: Simplify (/ 1 1) into 1 13.711 * [backup-simplify]: Simplify (* 1 1) into 1 13.712 * [backup-simplify]: Simplify (+ 0 1) into 1 13.712 * [backup-simplify]: Simplify (sqrt 1) into 1 13.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.715 * [backup-simplify]: Simplify (+ 0 0) into 0 13.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.716 * [backup-simplify]: Simplify (/ 1 1) into 1 13.716 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.716 * [taylor]: Taking taylor expansion of 1/2 in x 13.716 * [backup-simplify]: Simplify 1/2 into 1/2 13.716 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.716 * [taylor]: Taking taylor expansion of 1/2 in x 13.716 * [backup-simplify]: Simplify 1/2 into 1/2 13.716 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.716 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.716 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.716 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.716 * [taylor]: Taking taylor expansion of 1 in x 13.716 * [backup-simplify]: Simplify 1 into 1 13.716 * [taylor]: Taking taylor expansion of 1 in x 13.716 * [backup-simplify]: Simplify 1 into 1 13.716 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.716 * [taylor]: Taking taylor expansion of x in x 13.716 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify 1 into 1 13.717 * [backup-simplify]: Simplify (/ 1 1) into 1 13.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.717 * [taylor]: Taking taylor expansion of x in x 13.717 * [backup-simplify]: Simplify 0 into 0 13.717 * [backup-simplify]: Simplify 1 into 1 13.717 * [backup-simplify]: Simplify (/ 1 1) into 1 13.717 * [backup-simplify]: Simplify (* 1 1) into 1 13.718 * [backup-simplify]: Simplify (+ 0 1) into 1 13.718 * [backup-simplify]: Simplify (sqrt 1) into 1 13.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.721 * [backup-simplify]: Simplify (+ 0 0) into 0 13.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.722 * [backup-simplify]: Simplify (/ 1 1) into 1 13.722 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.722 * [backup-simplify]: Simplify 1/2 into 1/2 13.723 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.723 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.723 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.723 * [backup-simplify]: Simplify -1/2 into -1/2 13.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.725 * [backup-simplify]: Simplify (- 0) into 0 13.725 * [backup-simplify]: Simplify (+ 0 0) into 0 13.725 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify (* 1 1) into 1 13.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.727 * [backup-simplify]: Simplify (+ 1 0) into 1 13.727 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.729 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.729 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.729 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.729 * [backup-simplify]: Simplify 1/4 into 1/4 13.729 * [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))) 13.730 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.730 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 13.730 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.730 * [taylor]: Taking taylor expansion of 1/2 in x 13.730 * [backup-simplify]: Simplify 1/2 into 1/2 13.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.730 * [taylor]: Taking taylor expansion of 1/2 in x 13.730 * [backup-simplify]: Simplify 1/2 into 1/2 13.730 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.730 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.730 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.730 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.730 * [taylor]: Taking taylor expansion of 1 in x 13.730 * [backup-simplify]: Simplify 1 into 1 13.730 * [taylor]: Taking taylor expansion of 1 in x 13.730 * [backup-simplify]: Simplify 1 into 1 13.730 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.730 * [taylor]: Taking taylor expansion of -1 in x 13.730 * [backup-simplify]: Simplify -1 into -1 13.730 * [taylor]: Taking taylor expansion of x in x 13.730 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify 1 into 1 13.730 * [backup-simplify]: Simplify (/ -1 1) into -1 13.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.730 * [taylor]: Taking taylor expansion of -1 in x 13.730 * [backup-simplify]: Simplify -1 into -1 13.730 * [taylor]: Taking taylor expansion of x in x 13.730 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify 1 into 1 13.731 * [backup-simplify]: Simplify (/ -1 1) into -1 13.731 * [backup-simplify]: Simplify (* -1 -1) into 1 13.731 * [backup-simplify]: Simplify (+ 0 1) into 1 13.731 * [backup-simplify]: Simplify (sqrt 1) into 1 13.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.733 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.733 * [backup-simplify]: Simplify (+ 0 0) into 0 13.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.734 * [backup-simplify]: Simplify (/ 1 1) into 1 13.734 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.734 * [taylor]: Taking taylor expansion of 1/2 in x 13.734 * [backup-simplify]: Simplify 1/2 into 1/2 13.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.734 * [taylor]: Taking taylor expansion of 1/2 in x 13.734 * [backup-simplify]: Simplify 1/2 into 1/2 13.734 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.734 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.734 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.734 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.734 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.734 * [taylor]: Taking taylor expansion of 1 in x 13.734 * [backup-simplify]: Simplify 1 into 1 13.734 * [taylor]: Taking taylor expansion of 1 in x 13.734 * [backup-simplify]: Simplify 1 into 1 13.734 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.734 * [taylor]: Taking taylor expansion of -1 in x 13.734 * [backup-simplify]: Simplify -1 into -1 13.734 * [taylor]: Taking taylor expansion of x in x 13.734 * [backup-simplify]: Simplify 0 into 0 13.734 * [backup-simplify]: Simplify 1 into 1 13.735 * [backup-simplify]: Simplify (/ -1 1) into -1 13.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.735 * [taylor]: Taking taylor expansion of -1 in x 13.735 * [backup-simplify]: Simplify -1 into -1 13.735 * [taylor]: Taking taylor expansion of x in x 13.735 * [backup-simplify]: Simplify 0 into 0 13.735 * [backup-simplify]: Simplify 1 into 1 13.735 * [backup-simplify]: Simplify (/ -1 1) into -1 13.735 * [backup-simplify]: Simplify (* -1 -1) into 1 13.736 * [backup-simplify]: Simplify (+ 0 1) into 1 13.736 * [backup-simplify]: Simplify (sqrt 1) into 1 13.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.738 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.738 * [backup-simplify]: Simplify (+ 0 0) into 0 13.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.739 * [backup-simplify]: Simplify (/ 1 1) into 1 13.739 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.739 * [backup-simplify]: Simplify 1/2 into 1/2 13.739 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.739 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.740 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.740 * [backup-simplify]: Simplify -1/2 into -1/2 13.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.741 * [backup-simplify]: Simplify (- 0) into 0 13.741 * [backup-simplify]: Simplify (+ 0 0) into 0 13.741 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify (* 1 1) into 1 13.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.743 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.743 * [backup-simplify]: Simplify (+ 1 0) into 1 13.744 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.745 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.745 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.746 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.746 * [backup-simplify]: Simplify 1/4 into 1/4 13.746 * [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)))) 13.746 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 13.746 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 13.746 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 13.746 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.746 * [taylor]: Taking taylor expansion of 1/2 in x 13.746 * [backup-simplify]: Simplify 1/2 into 1/2 13.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.746 * [taylor]: Taking taylor expansion of 1/2 in x 13.746 * [backup-simplify]: Simplify 1/2 into 1/2 13.746 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.746 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.746 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.746 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.746 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.746 * [taylor]: Taking taylor expansion of 1 in x 13.746 * [backup-simplify]: Simplify 1 into 1 13.746 * [taylor]: Taking taylor expansion of 1 in x 13.746 * [backup-simplify]: Simplify 1 into 1 13.746 * [taylor]: Taking taylor expansion of (* x x) in x 13.746 * [taylor]: Taking taylor expansion of x in x 13.746 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify 1 into 1 13.746 * [taylor]: Taking taylor expansion of x in x 13.746 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify 1 into 1 13.747 * [backup-simplify]: Simplify (* 1 1) into 1 13.747 * [backup-simplify]: Simplify (* 0 0) into 0 13.747 * [backup-simplify]: Simplify (+ 1 0) into 1 13.747 * [backup-simplify]: Simplify (sqrt 1) into 1 13.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.748 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.749 * [backup-simplify]: Simplify (+ 0 0) into 0 13.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.749 * [backup-simplify]: Simplify (/ 1 1) into 1 13.749 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.749 * [taylor]: Taking taylor expansion of 1/2 in x 13.749 * [backup-simplify]: Simplify 1/2 into 1/2 13.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.749 * [taylor]: Taking taylor expansion of 1/2 in x 13.749 * [backup-simplify]: Simplify 1/2 into 1/2 13.749 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.749 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.749 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.749 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.749 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.749 * [taylor]: Taking taylor expansion of 1 in x 13.749 * [backup-simplify]: Simplify 1 into 1 13.749 * [taylor]: Taking taylor expansion of 1 in x 13.749 * [backup-simplify]: Simplify 1 into 1 13.749 * [taylor]: Taking taylor expansion of (* x x) in x 13.749 * [taylor]: Taking taylor expansion of x in x 13.749 * [backup-simplify]: Simplify 0 into 0 13.749 * [backup-simplify]: Simplify 1 into 1 13.749 * [taylor]: Taking taylor expansion of x in x 13.750 * [backup-simplify]: Simplify 0 into 0 13.750 * [backup-simplify]: Simplify 1 into 1 13.750 * [backup-simplify]: Simplify (* 1 1) into 1 13.750 * [backup-simplify]: Simplify (* 0 0) into 0 13.750 * [backup-simplify]: Simplify (+ 1 0) into 1 13.750 * [backup-simplify]: Simplify (sqrt 1) into 1 13.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.751 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.752 * [backup-simplify]: Simplify (+ 0 0) into 0 13.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.753 * [backup-simplify]: Simplify (/ 1 1) into 1 13.753 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.754 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.754 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 13.754 * [backup-simplify]: Simplify 0 into 0 13.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.756 * [backup-simplify]: Simplify (- 0) into 0 13.756 * [backup-simplify]: Simplify (+ 0 0) into 0 13.757 * [backup-simplify]: Simplify 0 into 0 13.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.759 * [backup-simplify]: Simplify (+ 0 1) into 1 13.760 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.762 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.762 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.763 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.763 * [backup-simplify]: Simplify 1/4 into 1/4 13.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.765 * [backup-simplify]: Simplify (+ 0 0) into 0 13.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.770 * [backup-simplify]: Simplify (- 0) into 0 13.770 * [backup-simplify]: Simplify (+ 0 0) into 0 13.770 * [backup-simplify]: Simplify 0 into 0 13.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.773 * [backup-simplify]: Simplify (+ 0 0) into 0 13.775 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.778 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.779 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.779 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.779 * [backup-simplify]: Simplify -3/16 into -3/16 13.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.781 * [backup-simplify]: Simplify (+ 0 0) into 0 13.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 13.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 13.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 13.786 * [backup-simplify]: Simplify (- 0) into 0 13.786 * [backup-simplify]: Simplify (+ 0 0) into 0 13.786 * [backup-simplify]: Simplify 0 into 0 13.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.788 * [backup-simplify]: Simplify (+ 0 0) into 0 13.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 13.791 * [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 13.792 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 13.792 * [backup-simplify]: Simplify (- -5/32) into 5/32 13.792 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 13.792 * [backup-simplify]: Simplify 5/32 into 5/32 13.793 * [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))) 13.793 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 13.793 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 13.793 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.793 * [taylor]: Taking taylor expansion of 1/2 in x 13.793 * [backup-simplify]: Simplify 1/2 into 1/2 13.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.793 * [taylor]: Taking taylor expansion of 1/2 in x 13.793 * [backup-simplify]: Simplify 1/2 into 1/2 13.793 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.793 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.793 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.793 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.793 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.793 * [taylor]: Taking taylor expansion of 1 in x 13.793 * [backup-simplify]: Simplify 1 into 1 13.793 * [taylor]: Taking taylor expansion of 1 in x 13.793 * [backup-simplify]: Simplify 1 into 1 13.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.793 * [taylor]: Taking taylor expansion of x in x 13.793 * [backup-simplify]: Simplify 0 into 0 13.793 * [backup-simplify]: Simplify 1 into 1 13.793 * [backup-simplify]: Simplify (/ 1 1) into 1 13.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.793 * [taylor]: Taking taylor expansion of x in x 13.793 * [backup-simplify]: Simplify 0 into 0 13.794 * [backup-simplify]: Simplify 1 into 1 13.794 * [backup-simplify]: Simplify (/ 1 1) into 1 13.794 * [backup-simplify]: Simplify (* 1 1) into 1 13.794 * [backup-simplify]: Simplify (+ 0 1) into 1 13.794 * [backup-simplify]: Simplify (sqrt 1) into 1 13.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.796 * [backup-simplify]: Simplify (+ 0 0) into 0 13.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.797 * [backup-simplify]: Simplify (/ 1 1) into 1 13.797 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.797 * [taylor]: Taking taylor expansion of 1/2 in x 13.797 * [backup-simplify]: Simplify 1/2 into 1/2 13.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.797 * [taylor]: Taking taylor expansion of 1/2 in x 13.797 * [backup-simplify]: Simplify 1/2 into 1/2 13.797 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.797 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.797 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.797 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.797 * [taylor]: Taking taylor expansion of 1 in x 13.797 * [backup-simplify]: Simplify 1 into 1 13.797 * [taylor]: Taking taylor expansion of 1 in x 13.797 * [backup-simplify]: Simplify 1 into 1 13.797 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.797 * [taylor]: Taking taylor expansion of x in x 13.797 * [backup-simplify]: Simplify 0 into 0 13.797 * [backup-simplify]: Simplify 1 into 1 13.797 * [backup-simplify]: Simplify (/ 1 1) into 1 13.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.797 * [taylor]: Taking taylor expansion of x in x 13.797 * [backup-simplify]: Simplify 0 into 0 13.797 * [backup-simplify]: Simplify 1 into 1 13.798 * [backup-simplify]: Simplify (/ 1 1) into 1 13.798 * [backup-simplify]: Simplify (* 1 1) into 1 13.798 * [backup-simplify]: Simplify (+ 0 1) into 1 13.798 * [backup-simplify]: Simplify (sqrt 1) into 1 13.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.800 * [backup-simplify]: Simplify (+ 0 0) into 0 13.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.801 * [backup-simplify]: Simplify (/ 1 1) into 1 13.801 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.801 * [backup-simplify]: Simplify 1/2 into 1/2 13.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.801 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.802 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.802 * [backup-simplify]: Simplify -1/2 into -1/2 13.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.803 * [backup-simplify]: Simplify (- 0) into 0 13.803 * [backup-simplify]: Simplify (+ 0 0) into 0 13.803 * [backup-simplify]: Simplify 0 into 0 13.803 * [backup-simplify]: Simplify (* 1 1) into 1 13.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.806 * [backup-simplify]: Simplify (+ 1 0) into 1 13.806 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.808 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.809 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.809 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.809 * [backup-simplify]: Simplify 1/4 into 1/4 13.809 * [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))) 13.810 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 13.810 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 13.810 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.810 * [taylor]: Taking taylor expansion of 1/2 in x 13.810 * [backup-simplify]: Simplify 1/2 into 1/2 13.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.810 * [taylor]: Taking taylor expansion of 1/2 in x 13.810 * [backup-simplify]: Simplify 1/2 into 1/2 13.810 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.810 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.810 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.810 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.810 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.810 * [taylor]: Taking taylor expansion of 1 in x 13.810 * [backup-simplify]: Simplify 1 into 1 13.810 * [taylor]: Taking taylor expansion of 1 in x 13.810 * [backup-simplify]: Simplify 1 into 1 13.810 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.810 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.810 * [taylor]: Taking taylor expansion of -1 in x 13.810 * [backup-simplify]: Simplify -1 into -1 13.810 * [taylor]: Taking taylor expansion of x in x 13.810 * [backup-simplify]: Simplify 0 into 0 13.810 * [backup-simplify]: Simplify 1 into 1 13.811 * [backup-simplify]: Simplify (/ -1 1) into -1 13.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.811 * [taylor]: Taking taylor expansion of -1 in x 13.811 * [backup-simplify]: Simplify -1 into -1 13.811 * [taylor]: Taking taylor expansion of x in x 13.811 * [backup-simplify]: Simplify 0 into 0 13.811 * [backup-simplify]: Simplify 1 into 1 13.811 * [backup-simplify]: Simplify (/ -1 1) into -1 13.812 * [backup-simplify]: Simplify (* -1 -1) into 1 13.812 * [backup-simplify]: Simplify (+ 0 1) into 1 13.812 * [backup-simplify]: Simplify (sqrt 1) into 1 13.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.821 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.822 * [backup-simplify]: Simplify (+ 0 0) into 0 13.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.823 * [backup-simplify]: Simplify (/ 1 1) into 1 13.823 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.823 * [taylor]: Taking taylor expansion of 1/2 in x 13.823 * [backup-simplify]: Simplify 1/2 into 1/2 13.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.823 * [taylor]: Taking taylor expansion of 1/2 in x 13.823 * [backup-simplify]: Simplify 1/2 into 1/2 13.823 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.823 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.823 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.823 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.823 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.823 * [taylor]: Taking taylor expansion of 1 in x 13.823 * [backup-simplify]: Simplify 1 into 1 13.823 * [taylor]: Taking taylor expansion of 1 in x 13.823 * [backup-simplify]: Simplify 1 into 1 13.823 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.823 * [taylor]: Taking taylor expansion of -1 in x 13.823 * [backup-simplify]: Simplify -1 into -1 13.823 * [taylor]: Taking taylor expansion of x in x 13.823 * [backup-simplify]: Simplify 0 into 0 13.823 * [backup-simplify]: Simplify 1 into 1 13.824 * [backup-simplify]: Simplify (/ -1 1) into -1 13.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.824 * [taylor]: Taking taylor expansion of -1 in x 13.824 * [backup-simplify]: Simplify -1 into -1 13.824 * [taylor]: Taking taylor expansion of x in x 13.824 * [backup-simplify]: Simplify 0 into 0 13.824 * [backup-simplify]: Simplify 1 into 1 13.825 * [backup-simplify]: Simplify (/ -1 1) into -1 13.825 * [backup-simplify]: Simplify (* -1 -1) into 1 13.825 * [backup-simplify]: Simplify (+ 0 1) into 1 13.826 * [backup-simplify]: Simplify (sqrt 1) into 1 13.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.828 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.829 * [backup-simplify]: Simplify (+ 0 0) into 0 13.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.830 * [backup-simplify]: Simplify (/ 1 1) into 1 13.830 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.830 * [backup-simplify]: Simplify 1/2 into 1/2 13.831 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.831 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.832 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.832 * [backup-simplify]: Simplify -1/2 into -1/2 13.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.834 * [backup-simplify]: Simplify (- 0) into 0 13.834 * [backup-simplify]: Simplify (+ 0 0) into 0 13.834 * [backup-simplify]: Simplify 0 into 0 13.835 * [backup-simplify]: Simplify (* 1 1) into 1 13.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.839 * [backup-simplify]: Simplify (+ 1 0) into 1 13.840 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.842 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.843 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.843 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.843 * [backup-simplify]: Simplify 1/4 into 1/4 13.844 * [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)))) 13.844 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 13.844 * [backup-simplify]: Simplify (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) into (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2) 1/3) 13.844 * [approximate]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2) 1/3) in (x) around 0 13.844 * [taylor]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2) 1/3) in x 13.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2)))) in x 13.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2))) in x 13.844 * [taylor]: Taking taylor expansion of 1/3 in x 13.844 * [backup-simplify]: Simplify 1/3 into 1/3 13.844 * [taylor]: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2)) in x 13.844 * [taylor]: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 13.844 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.844 * [taylor]: Taking taylor expansion of 1/2 in x 13.844 * [backup-simplify]: Simplify 1/2 into 1/2 13.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.844 * [taylor]: Taking taylor expansion of 1/2 in x 13.845 * [backup-simplify]: Simplify 1/2 into 1/2 13.845 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.845 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.845 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.845 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.845 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.845 * [taylor]: Taking taylor expansion of 1 in x 13.845 * [backup-simplify]: Simplify 1 into 1 13.845 * [taylor]: Taking taylor expansion of 1 in x 13.845 * [backup-simplify]: Simplify 1 into 1 13.845 * [taylor]: Taking taylor expansion of (* x x) in x 13.845 * [taylor]: Taking taylor expansion of x in x 13.845 * [backup-simplify]: Simplify 0 into 0 13.845 * [backup-simplify]: Simplify 1 into 1 13.845 * [taylor]: Taking taylor expansion of x in x 13.845 * [backup-simplify]: Simplify 0 into 0 13.845 * [backup-simplify]: Simplify 1 into 1 13.845 * [backup-simplify]: Simplify (* 1 1) into 1 13.846 * [backup-simplify]: Simplify (* 0 0) into 0 13.846 * [backup-simplify]: Simplify (+ 1 0) into 1 13.847 * [backup-simplify]: Simplify (sqrt 1) into 1 13.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.848 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.848 * [backup-simplify]: Simplify (+ 0 0) into 0 13.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.850 * [backup-simplify]: Simplify (/ 1 1) into 1 13.850 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.850 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.851 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 13.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.853 * [backup-simplify]: Simplify (- 0) into 0 13.853 * [backup-simplify]: Simplify (+ 0 0) into 0 13.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.855 * [backup-simplify]: Simplify (+ 0 1) into 1 13.857 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.859 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.859 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.860 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.860 * [backup-simplify]: Simplify (* 1/4 1/4) into 1/16 13.861 * [backup-simplify]: Simplify (log 1/16) into (log 1/16) 13.861 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) (log 1/16)) into (+ (log 1/16) (* 4 (log x))) 13.862 * [backup-simplify]: Simplify (* 1/3 (+ (log 1/16) (* 4 (log x)))) into (* 1/3 (+ (log 1/16) (* 4 (log x)))) 13.862 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) into (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) 13.862 * [taylor]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2) 1/3) in x 13.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2)))) in x 13.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2))) in x 13.863 * [taylor]: Taking taylor expansion of 1/3 in x 13.863 * [backup-simplify]: Simplify 1/3 into 1/3 13.863 * [taylor]: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2)) in x 13.863 * [taylor]: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 13.863 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.863 * [taylor]: Taking taylor expansion of 1/2 in x 13.863 * [backup-simplify]: Simplify 1/2 into 1/2 13.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.863 * [taylor]: Taking taylor expansion of 1/2 in x 13.863 * [backup-simplify]: Simplify 1/2 into 1/2 13.863 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.863 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.863 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.863 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.863 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.863 * [taylor]: Taking taylor expansion of 1 in x 13.863 * [backup-simplify]: Simplify 1 into 1 13.863 * [taylor]: Taking taylor expansion of 1 in x 13.863 * [backup-simplify]: Simplify 1 into 1 13.863 * [taylor]: Taking taylor expansion of (* x x) in x 13.863 * [taylor]: Taking taylor expansion of x in x 13.863 * [backup-simplify]: Simplify 0 into 0 13.863 * [backup-simplify]: Simplify 1 into 1 13.863 * [taylor]: Taking taylor expansion of x in x 13.863 * [backup-simplify]: Simplify 0 into 0 13.863 * [backup-simplify]: Simplify 1 into 1 13.864 * [backup-simplify]: Simplify (* 1 1) into 1 13.864 * [backup-simplify]: Simplify (* 0 0) into 0 13.865 * [backup-simplify]: Simplify (+ 1 0) into 1 13.865 * [backup-simplify]: Simplify (sqrt 1) into 1 13.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.866 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.867 * [backup-simplify]: Simplify (+ 0 0) into 0 13.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.868 * [backup-simplify]: Simplify (/ 1 1) into 1 13.868 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.869 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.869 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 13.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.871 * [backup-simplify]: Simplify (- 0) into 0 13.871 * [backup-simplify]: Simplify (+ 0 0) into 0 13.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.874 * [backup-simplify]: Simplify (+ 0 1) into 1 13.875 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.877 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.877 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.878 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.878 * [backup-simplify]: Simplify (* 1/4 1/4) into 1/16 13.878 * [backup-simplify]: Simplify (log 1/16) into (log 1/16) 13.879 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) (log 1/16)) into (+ (log 1/16) (* 4 (log x))) 13.880 * [backup-simplify]: Simplify (* 1/3 (+ (log 1/16) (* 4 (log x)))) into (* 1/3 (+ (log 1/16) (* 4 (log x)))) 13.880 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) into (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) 13.881 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) into (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) 13.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.883 * [backup-simplify]: Simplify (+ 0 0) into 0 13.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.888 * [backup-simplify]: Simplify (- 0) into 0 13.889 * [backup-simplify]: Simplify (+ 0 0) into 0 13.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1/4)) into 0 13.891 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/16 1)))) 1) into 0 13.892 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) (log 1/16)) into (+ (log 1/16) (* 4 (log x))) 13.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/16) (* 4 (log x))))) into 0 13.894 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.894 * [backup-simplify]: Simplify 0 into 0 13.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.897 * [backup-simplify]: Simplify (+ 0 0) into 0 13.898 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.902 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.902 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.903 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.904 * [backup-simplify]: Simplify (+ (* 1/4 -3/16) (+ (* 0 0) (* -3/16 1/4))) into -3/32 13.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/16 2))) (* 1 (/ (* 1 (pow (* 2 -3/32) 1)) (pow 1/16 1)))) 2) into -3/2 13.908 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) (log 1/16)) into (+ (log 1/16) (* 4 (log x))) 13.909 * [backup-simplify]: Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 (+ (log 1/16) (* 4 (log x)))))) into (- 1/2) 13.912 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) 13.912 * [backup-simplify]: Simplify (* -1/2 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) into (* -1/2 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) 13.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.916 * [backup-simplify]: Simplify (+ 0 0) into 0 13.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 13.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 13.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 13.923 * [backup-simplify]: Simplify (- 0) into 0 13.923 * [backup-simplify]: Simplify (+ 0 0) into 0 13.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -3/16) (+ (* -3/16 0) (* 0 1/4)))) into 0 13.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/16 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -3/32) 1)) (pow 1/16 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/16 1)))) 6) into 0 13.932 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) (log 1/16)) into (+ (log 1/16) (* 4 (log x))) 13.933 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (+ (log 1/16) (* 4 (log x))))))) into 0 13.936 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.936 * [backup-simplify]: Simplify 0 into 0 13.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.940 * [backup-simplify]: Simplify (+ 0 0) into 0 13.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 13.945 * [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 13.948 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 13.949 * [backup-simplify]: Simplify (- -5/32) into 5/32 13.949 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 13.951 * [backup-simplify]: Simplify (+ (* 1/4 5/32) (+ (* 0 0) (+ (* -3/16 -3/16) (+ (* 0 0) (* 5/32 1/4))))) into 29/256 13.964 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/16 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -3/32) 1)) (pow 1/16 3))) (* -3 (/ (* 1 (pow (* 2 -3/32) 2)) (pow 1/16 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/16 2))) (* 1 (/ (* 1 1 1 (pow (* 24 29/256) 1)) (pow 1/16 1)))) 24) into 11/16 13.965 * [backup-simplify]: Simplify (+ (* (- -4) (log x)) (log 1/16)) into (+ (log 1/16) (* 4 (log x))) 13.966 * [backup-simplify]: Simplify (+ (* 1/3 11/16) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (+ (log 1/16) (* 4 (log x)))))))) into 11/48 13.978 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 11/48 1) 1)))) into (* 17/48 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) 13.979 * [backup-simplify]: Simplify (* 17/48 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) into (* 17/48 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) 13.981 * [backup-simplify]: Simplify (+ (* (* 17/48 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) (pow x 4)) (+ (* (* -1/2 (exp (* 1/3 (+ (log 1/16) (* 4 (log x)))))) (pow x 2)) (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))))) into (- (+ (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (* 17/48 (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (pow x 4)))) (* 1/2 (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (pow x 2)))) 13.981 * [backup-simplify]: Simplify (* (cbrt (- 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) 1/3) 13.981 * [approximate]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) 1/3) in (x) around 0 13.981 * [taylor]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) 1/3) in x 13.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2)))) in x 13.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2))) in x 13.981 * [taylor]: Taking taylor expansion of 1/3 in x 13.981 * [backup-simplify]: Simplify 1/3 into 1/3 13.981 * [taylor]: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2)) in x 13.981 * [taylor]: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 13.981 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.981 * [taylor]: Taking taylor expansion of 1/2 in x 13.981 * [backup-simplify]: Simplify 1/2 into 1/2 13.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.981 * [taylor]: Taking taylor expansion of 1/2 in x 13.981 * [backup-simplify]: Simplify 1/2 into 1/2 13.981 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.981 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.981 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.982 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.982 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.982 * [taylor]: Taking taylor expansion of 1 in x 13.982 * [backup-simplify]: Simplify 1 into 1 13.982 * [taylor]: Taking taylor expansion of 1 in x 13.982 * [backup-simplify]: Simplify 1 into 1 13.982 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.982 * [taylor]: Taking taylor expansion of x in x 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify 1 into 1 13.982 * [backup-simplify]: Simplify (/ 1 1) into 1 13.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.982 * [taylor]: Taking taylor expansion of x in x 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify 1 into 1 13.983 * [backup-simplify]: Simplify (/ 1 1) into 1 13.983 * [backup-simplify]: Simplify (* 1 1) into 1 13.984 * [backup-simplify]: Simplify (+ 0 1) into 1 13.984 * [backup-simplify]: Simplify (sqrt 1) into 1 13.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.987 * [backup-simplify]: Simplify (+ 0 0) into 0 13.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.988 * [backup-simplify]: Simplify (/ 1 1) into 1 13.988 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.989 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.989 * [backup-simplify]: Simplify (log 1/4) into (log 1/4) 13.990 * [backup-simplify]: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 13.991 * [backup-simplify]: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 13.992 * [taylor]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) 1/3) in x 13.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2)))) in x 13.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2))) in x 13.992 * [taylor]: Taking taylor expansion of 1/3 in x 13.992 * [backup-simplify]: Simplify 1/3 into 1/3 13.992 * [taylor]: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2)) in x 13.992 * [taylor]: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 13.992 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.992 * [taylor]: Taking taylor expansion of 1/2 in x 13.992 * [backup-simplify]: Simplify 1/2 into 1/2 13.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.992 * [taylor]: Taking taylor expansion of 1/2 in x 13.992 * [backup-simplify]: Simplify 1/2 into 1/2 13.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.992 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.992 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.992 * [taylor]: Taking taylor expansion of 1 in x 13.992 * [backup-simplify]: Simplify 1 into 1 13.992 * [taylor]: Taking taylor expansion of 1 in x 13.992 * [backup-simplify]: Simplify 1 into 1 13.992 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.992 * [taylor]: Taking taylor expansion of x in x 13.992 * [backup-simplify]: Simplify 0 into 0 13.992 * [backup-simplify]: Simplify 1 into 1 13.993 * [backup-simplify]: Simplify (/ 1 1) into 1 13.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.993 * [taylor]: Taking taylor expansion of x in x 13.993 * [backup-simplify]: Simplify 0 into 0 13.993 * [backup-simplify]: Simplify 1 into 1 13.993 * [backup-simplify]: Simplify (/ 1 1) into 1 13.993 * [backup-simplify]: Simplify (* 1 1) into 1 13.994 * [backup-simplify]: Simplify (+ 0 1) into 1 13.994 * [backup-simplify]: Simplify (sqrt 1) into 1 13.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.997 * [backup-simplify]: Simplify (+ 0 0) into 0 13.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.998 * [backup-simplify]: Simplify (/ 1 1) into 1 13.998 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.999 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.999 * [backup-simplify]: Simplify (log 1/4) into (log 1/4) 14.000 * [backup-simplify]: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 14.001 * [backup-simplify]: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 14.001 * [backup-simplify]: Simplify (pow 1/4 1/3) into (pow 1/4 1/3) 14.001 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.002 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.002 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.002 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* -1/2 1/2)) into -1/2 14.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/4 1)))) 1) into -2 14.004 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (log 1/4))) into -2/3 14.006 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow 1/4 1/3)) 14.007 * [backup-simplify]: Simplify (* -2/3 (pow 1/4 1/3)) into (* -2/3 (pow 1/4 1/3)) 14.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.008 * [backup-simplify]: Simplify (- 0) into 0 14.008 * [backup-simplify]: Simplify (+ 0 0) into 0 14.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 -1/2) (* 0 1/2))) into 1/4 14.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 14.011 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (log 1/4)))) into -1/3 14.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/9 (pow 1/4 1/3)) 14.015 * [backup-simplify]: Simplify (* -1/9 (pow 1/4 1/3)) into (* -1/9 (pow 1/4 1/3)) 14.016 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow 1/4 1/3)) (pow (/ 1 x) 2)) (+ (* (* -2/3 (pow 1/4 1/3)) (/ 1 x)) (pow 1/4 1/3))) into (- (pow 1/4 1/3) (+ (* 1/9 (* (pow 1/4 1/3) (/ 1 (pow x 2)))) (* 2/3 (* (pow 1/4 1/3) (/ 1 x))))) 14.017 * [backup-simplify]: Simplify (* (cbrt (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) 1/3) 14.017 * [approximate]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) 1/3) in (x) around 0 14.017 * [taylor]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) 1/3) in x 14.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2)))) in x 14.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2))) in x 14.017 * [taylor]: Taking taylor expansion of 1/3 in x 14.017 * [backup-simplify]: Simplify 1/3 into 1/3 14.017 * [taylor]: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2)) in x 14.017 * [taylor]: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 14.017 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 14.017 * [taylor]: Taking taylor expansion of 1/2 in x 14.017 * [backup-simplify]: Simplify 1/2 into 1/2 14.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 14.017 * [taylor]: Taking taylor expansion of 1/2 in x 14.017 * [backup-simplify]: Simplify 1/2 into 1/2 14.017 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 14.017 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.017 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.017 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.017 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.017 * [taylor]: Taking taylor expansion of 1 in x 14.017 * [backup-simplify]: Simplify 1 into 1 14.017 * [taylor]: Taking taylor expansion of 1 in x 14.017 * [backup-simplify]: Simplify 1 into 1 14.017 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.017 * [taylor]: Taking taylor expansion of -1 in x 14.017 * [backup-simplify]: Simplify -1 into -1 14.017 * [taylor]: Taking taylor expansion of x in x 14.017 * [backup-simplify]: Simplify 0 into 0 14.017 * [backup-simplify]: Simplify 1 into 1 14.017 * [backup-simplify]: Simplify (/ -1 1) into -1 14.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.017 * [taylor]: Taking taylor expansion of -1 in x 14.018 * [backup-simplify]: Simplify -1 into -1 14.018 * [taylor]: Taking taylor expansion of x in x 14.018 * [backup-simplify]: Simplify 0 into 0 14.018 * [backup-simplify]: Simplify 1 into 1 14.018 * [backup-simplify]: Simplify (/ -1 1) into -1 14.018 * [backup-simplify]: Simplify (* -1 -1) into 1 14.018 * [backup-simplify]: Simplify (+ 0 1) into 1 14.019 * [backup-simplify]: Simplify (sqrt 1) into 1 14.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.020 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.020 * [backup-simplify]: Simplify (+ 0 0) into 0 14.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.021 * [backup-simplify]: Simplify (/ 1 1) into 1 14.021 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.021 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 14.022 * [backup-simplify]: Simplify (log 1/4) into (log 1/4) 14.022 * [backup-simplify]: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 14.023 * [backup-simplify]: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 14.023 * [taylor]: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) 1/3) in x 14.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2)))) in x 14.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2))) in x 14.023 * [taylor]: Taking taylor expansion of 1/3 in x 14.023 * [backup-simplify]: Simplify 1/3 into 1/3 14.023 * [taylor]: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2)) in x 14.023 * [taylor]: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 14.023 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 14.023 * [taylor]: Taking taylor expansion of 1/2 in x 14.023 * [backup-simplify]: Simplify 1/2 into 1/2 14.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 14.023 * [taylor]: Taking taylor expansion of 1/2 in x 14.023 * [backup-simplify]: Simplify 1/2 into 1/2 14.023 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 14.023 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 14.023 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 14.023 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 14.023 * [taylor]: Taking taylor expansion of (* 1 1) in x 14.023 * [taylor]: Taking taylor expansion of 1 in x 14.024 * [backup-simplify]: Simplify 1 into 1 14.024 * [taylor]: Taking taylor expansion of 1 in x 14.024 * [backup-simplify]: Simplify 1 into 1 14.024 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.024 * [taylor]: Taking taylor expansion of -1 in x 14.024 * [backup-simplify]: Simplify -1 into -1 14.024 * [taylor]: Taking taylor expansion of x in x 14.024 * [backup-simplify]: Simplify 0 into 0 14.024 * [backup-simplify]: Simplify 1 into 1 14.024 * [backup-simplify]: Simplify (/ -1 1) into -1 14.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.024 * [taylor]: Taking taylor expansion of -1 in x 14.024 * [backup-simplify]: Simplify -1 into -1 14.024 * [taylor]: Taking taylor expansion of x in x 14.024 * [backup-simplify]: Simplify 0 into 0 14.024 * [backup-simplify]: Simplify 1 into 1 14.024 * [backup-simplify]: Simplify (/ -1 1) into -1 14.025 * [backup-simplify]: Simplify (* -1 -1) into 1 14.025 * [backup-simplify]: Simplify (+ 0 1) into 1 14.025 * [backup-simplify]: Simplify (sqrt 1) into 1 14.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.027 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.027 * [backup-simplify]: Simplify (+ 0 0) into 0 14.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.028 * [backup-simplify]: Simplify (/ 1 1) into 1 14.028 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.028 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 14.028 * [backup-simplify]: Simplify (log 1/4) into (log 1/4) 14.029 * [backup-simplify]: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 14.030 * [backup-simplify]: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 14.030 * [backup-simplify]: Simplify (pow 1/4 1/3) into (pow 1/4 1/3) 14.031 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.031 * [backup-simplify]: Simplify (- 1/2) into -1/2 14.031 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 14.032 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* -1/2 1/2)) into -1/2 14.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/4 1)))) 1) into -2 14.034 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (log 1/4))) into -2/3 14.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow 1/4 1/3)) 14.039 * [backup-simplify]: Simplify (* -2/3 (pow 1/4 1/3)) into (* -2/3 (pow 1/4 1/3)) 14.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.041 * [backup-simplify]: Simplify (- 0) into 0 14.041 * [backup-simplify]: Simplify (+ 0 0) into 0 14.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 -1/2) (* 0 1/2))) into 1/4 14.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 14.047 * [backup-simplify]: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (log 1/4)))) into -1/3 14.052 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/9 (pow 1/4 1/3)) 14.053 * [backup-simplify]: Simplify (* -1/9 (pow 1/4 1/3)) into (* -1/9 (pow 1/4 1/3)) 14.056 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow 1/4 1/3)) (pow (/ 1 (- x)) 2)) (+ (* (* -2/3 (pow 1/4 1/3)) (/ 1 (- x))) (pow 1/4 1/3))) into (- (+ (* 2/3 (* (pow 1/4 1/3) (/ 1 x))) (pow 1/4 1/3)) (* 1/9 (* (pow 1/4 1/3) (/ 1 (pow x 2))))) 14.056 * * * [progress]: simplifying candidates 14.056 * * * * [progress]: [ 1 / 254 ] simplifiying candidate # 14.056 * * * * [progress]: [ 2 / 254 ] simplifiying candidate # 14.056 * * * * [progress]: [ 3 / 254 ] simplifiying candidate # 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* [progress]: [ 50 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 51 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 52 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 53 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 54 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 55 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 56 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 57 / 254 ] simplifiying candidate # 14.060 * * * * [progress]: [ 58 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 59 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 60 / 254 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 14.061 * * * * [progress]: [ 61 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 62 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 63 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 64 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 65 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 66 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 67 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 68 / 254 ] simplifiying candidate # 14.061 * * * * [progress]: [ 69 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 70 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 71 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 72 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 73 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 74 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 75 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 76 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 77 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 78 / 254 ] simplifiying candidate # 14.062 * * * * [progress]: [ 79 / 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candidate # 14.064 * * * * [progress]: [ 95 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 96 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 97 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 98 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 99 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 100 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 101 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 102 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 103 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 104 / 254 ] simplifiying candidate # 14.064 * * * * [progress]: [ 105 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 106 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 107 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 108 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 109 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 110 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 111 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 112 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 113 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 114 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 115 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 116 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 117 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 118 / 254 ] simplifiying candidate # 14.065 * * * * [progress]: [ 119 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 120 / 254 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 14.066 * * * * [progress]: [ 121 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 122 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 123 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 124 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 125 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 126 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 127 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 128 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 129 / 254 ] simplifiying candidate # 14.066 * * * * [progress]: [ 130 / 254 ] simplifiying candidate # 14.067 * * * * [progress]: [ 131 / 254 ] simplifiying candidate # 14.067 * * * * [progress]: [ 132 / 254 ] simplifiying candidate # 14.067 * * * * [progress]: [ 133 / 254 ] simplifiying candidate # 14.067 * * * * [progress]: [ 134 / 254 ] simplifiying candidate # 14.067 * * * * [progress]: [ 135 / 254 ] simplifiying candidate # 14.067 * * * * [progress]: [ 136 / 254 ] simplifiying candidate # 14.067 * * * * [progress]: [ 137 / 254 ] simplifiying candidate # 14.067 * * * * 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[progress]: [ 153 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 154 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 155 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 156 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 157 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 158 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 159 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 160 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 161 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 162 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 163 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 164 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 165 / 254 ] simplifiying candidate # 14.069 * * * * [progress]: [ 166 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 167 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 168 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 169 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 170 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 171 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 172 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 173 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 174 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 175 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 176 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 177 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 178 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 179 / 254 ] simplifiying candidate # 14.070 * * * * [progress]: [ 180 / 254 ] simplifiying candidate #real (real->posit16 (- 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)))))))> 14.071 * * * * [progress]: [ 181 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 182 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 183 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 184 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 185 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 186 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 187 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 188 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 189 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 190 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 191 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 192 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 193 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 194 / 254 ] simplifiying candidate # 14.071 * * * * [progress]: [ 195 / 254 ] simplifiying candidate # 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[progress]: [ 226 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 227 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 228 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 229 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 230 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 231 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 232 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 233 / 254 ] simplifiying candidate # 14.074 * * * * [progress]: [ 234 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 235 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 236 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 237 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 238 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 239 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 240 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 241 / 254 ] simplifiying candidate #real (real->posit16 (* (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)))))))> 14.075 * * * * [progress]: [ 242 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 243 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 244 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 245 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 246 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 247 / 254 ] simplifiying candidate # 14.075 * * * * [progress]: [ 248 / 254 ] simplifiying candidate # 14.076 * * * * [progress]: [ 249 / 254 ] simplifiying candidate # 14.076 * * * * [progress]: [ 250 / 254 ] simplifiying candidate # 14.076 * * * * [progress]: [ 251 / 254 ] simplifiying candidate # 14.076 * * * * [progress]: [ 252 / 254 ] simplifiying candidate # 14.076 * * * * [progress]: [ 253 / 254 ] simplifiying candidate # 14.076 * * * * [progress]: [ 254 / 254 ] simplifiying candidate # 14.083 * [simplify]: Simplifying: (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 (- (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)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 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))))) (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))))))) (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) 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(* (cbrt (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (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)))) (- (+ (* 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)))) (- (+ (* 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)))) (- (+ (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (* 17/48 (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (pow x 4)))) (* 1/2 (* (exp (* 1/3 (+ (log 1/16) (* 4 (log x))))) (pow x 2)))) (- (pow 1/4 1/3) (+ (* 1/9 (* (pow 1/4 1/3) (/ 1 (pow x 2)))) (* 2/3 (* (pow 1/4 1/3) (/ 1 x))))) (- (+ (* 2/3 (* (pow 1/4 1/3) (/ 1 x))) (pow 1/4 1/3)) (* 1/9 (* (pow 1/4 1/3) (/ 1 (pow x 2))))) 14.095 * * [simplify]: iteration 1: (265 enodes) 14.277 * * [simplify]: iteration 2: (618 enodes) 14.650 * * [simplify]: iteration 3: (1558 enodes) 17.034 * * [simplify]: Extracting #0: cost 66 inf + 0 17.036 * * [simplify]: Extracting #1: cost 377 inf + 3 17.042 * * [simplify]: Extracting #2: cost 854 inf + 1558 17.062 * * [simplify]: Extracting #3: cost 698 inf + 46369 17.117 * * [simplify]: Extracting #4: cost 277 inf + 156254 17.173 * * [simplify]: Extracting #5: cost 48 inf + 238211 17.267 * * [simplify]: Extracting #6: cost 0 inf + 255176 17.355 * * [simplify]: Extracting #7: cost 0 inf + 254557 17.422 * [simplify]: Simplified to: (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) 0) (- 1/2 (/ (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))) (* (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (+ (/ 1/2 (cbrt (hypot 1 x))) (/ 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-1/4 (* (* x x) x)))) (+ 1/2 (+ (/ 1/2 x) (/ -1/4 (* (* x x) x)))) (fma (* (* x x) (* x x)) -3/16 (fma (* x x) 1/4 (* (* 5/32 (* (* x x) (* x x))) (* x x)))) (- 1/2 (+ (/ 1/2 x) (/ -1/4 (* (* x x) x)))) (+ 1/2 (+ (/ 1/2 x) (/ -1/4 (* (* x x) x)))) (fma (* (* x x) (* x x)) -3/16 (fma (* x x) 1/4 (* (* 5/32 (* (* x x) (* x x))) (* x x)))) (- 1/2 (+ (/ 1/2 x) (/ -1/4 (* (* x x) x)))) (+ 1/2 (+ (/ 1/2 x) (/ -1/4 (* (* x x) x)))) (fma (* (exp (* 1/3 (fma (log x) 4 (log 1/16)))) -1/2) (* x x) (fma (* (exp (* 1/3 (fma (log x) 4 (log 1/16)))) 17/48) (* (* x x) (* x x)) (exp (* 1/3 (fma (log x) 4 (log 1/16)))))) (- (cbrt 1/4) (* (cbrt 1/4) (+ (/ 2/3 x) (/ 1/9 (* x x))))) (fma (/ (cbrt 1/4) (* x x)) -1/9 (fma (/ (cbrt 1/4) x) 2/3 (cbrt 1/4))) 17.471 * * * [progress]: adding candidates to table 20.639 * [progress]: [Phase 3 of 3] Extracting. 20.639 * * [regime]: Finding splitpoints for: (# # # #) 20.640 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 20.640 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 20.676 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 20.702 * * * * [regimes]: Trying to branch on x from (# # # #) 20.756 * * * [regime]: Found split indices: #