34.640 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.062 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.062 * * [simplify]: iteration 0: 9 enodes 0.065 * * [simplify]: iteration 1: 21 enodes 0.072 * * [simplify]: iteration 2: 43 enodes 0.079 * * [simplify]: iteration 3: 69 enodes 0.092 * * [simplify]: iteration 4: 89 enodes 0.112 * * [simplify]: iteration 5: 111 enodes 0.153 * * [simplify]: iteration 6: 114 enodes 0.166 * * [simplify]: iteration complete: 114 enodes 0.166 * * [simplify]: Extracting #0: cost 1 inf + 0 0.166 * * [simplify]: Extracting #1: cost 4 inf + 0 0.166 * * [simplify]: Extracting #2: cost 4 inf + 1 0.166 * * [simplify]: Extracting #3: cost 8 inf + 1 0.166 * * [simplify]: Extracting #4: cost 9 inf + 2 0.166 * * [simplify]: Extracting #5: cost 10 inf + 2 0.166 * * [simplify]: Extracting #6: cost 9 inf + 3 0.166 * * [simplify]: Extracting #7: cost 6 inf + 255 0.167 * * [simplify]: Extracting #8: cost 1 inf + 1024 0.167 * * [simplify]: Extracting #9: cost 0 inf + 1242 0.167 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.171 * * [progress]: iteration 1 / 4 0.171 * * * [progress]: picking best candidate 0.174 * * * * [pick]: Picked # 0.174 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.281 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.293 * * * [progress]: generating series expansions 0.293 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.293 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.293 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.293 * [taylor]: Taking taylor expansion of 1 in x 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.293 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.293 * [taylor]: Taking taylor expansion of 1/2 in x 0.293 * [backup-simplify]: Simplify 1/2 into 1/2 0.293 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.293 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.294 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.294 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of 1 in x 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (* x x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (* 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [backup-simplify]: Simplify (sqrt 1) into 1 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.297 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.297 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.298 * [backup-simplify]: Simplify (sqrt 1) into 1 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.299 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.299 * [taylor]: Taking taylor expansion of 1/2 in x 0.299 * [backup-simplify]: Simplify 1/2 into 1/2 0.299 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.299 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.299 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.300 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.300 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (* x x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (* 0 0) into 0 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of 1/2 in x 0.302 * [backup-simplify]: Simplify 1/2 into 1/2 0.303 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.303 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.303 * [backup-simplify]: Simplify (sqrt 1) into 1 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.305 * [backup-simplify]: Simplify (- 1) into -1 0.305 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.307 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.309 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.309 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.310 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.310 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.310 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.310 * [backup-simplify]: Simplify 1/8 into 1/8 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.320 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.320 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.321 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.321 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.322 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.322 * [backup-simplify]: Simplify -11/128 into -11/128 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.335 * [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 0.337 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.337 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.338 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.338 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.339 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.339 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.339 * [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))) 0.339 * [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))) 0.339 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.339 * [taylor]: Taking taylor expansion of 1 in x 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of 1/2 in x 0.339 * [backup-simplify]: Simplify 1/2 into 1/2 0.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.339 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (+ 0 1) into 1 0.341 * [backup-simplify]: Simplify (sqrt 1) into 1 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of 1/2 in x 0.343 * [backup-simplify]: Simplify 1/2 into 1/2 0.344 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.344 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.344 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.344 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.345 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.345 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.345 * [taylor]: Taking taylor expansion of 1 in x 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.345 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.345 * [taylor]: Taking taylor expansion of 1/2 in x 0.345 * [backup-simplify]: Simplify 1/2 into 1/2 0.345 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.346 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.346 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.346 * [taylor]: Taking taylor expansion of 1 in x 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of 1 in x 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (+ 0 1) into 1 0.347 * [backup-simplify]: Simplify (sqrt 1) into 1 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of 1/2 in x 0.349 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.350 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.350 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.350 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.351 * [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)) 0.353 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.353 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.354 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.356 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.359 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.368 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.372 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.375 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.380 * [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))) 0.380 * [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))) 0.380 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of 1/2 in x 0.380 * [backup-simplify]: Simplify 1/2 into 1/2 0.380 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.380 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.380 * [taylor]: Taking taylor expansion of 1 in x 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [backup-simplify]: Simplify -1 into -1 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ -1 1) into -1 0.381 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ -1 1) into -1 0.382 * [backup-simplify]: Simplify (* -1 -1) into 1 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [backup-simplify]: Simplify (sqrt 1) into 1 0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of 1/2 in x 0.387 * [backup-simplify]: Simplify 1/2 into 1/2 0.388 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.388 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.388 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.389 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.390 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.390 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.391 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.391 * [taylor]: Taking taylor expansion of 1/2 in x 0.391 * [backup-simplify]: Simplify 1/2 into 1/2 0.391 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.391 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.391 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.391 * [taylor]: Taking taylor expansion of 1 in x 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of 1 in x 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.391 * [taylor]: Taking taylor expansion of -1 in x 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ -1 1) into -1 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.392 * [taylor]: Taking taylor expansion of -1 in x 0.392 * [backup-simplify]: Simplify -1 into -1 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ -1 1) into -1 0.393 * [backup-simplify]: Simplify (* -1 -1) into 1 0.393 * [backup-simplify]: Simplify (+ 0 1) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [taylor]: Taking taylor expansion of 1/2 in x 0.397 * [backup-simplify]: Simplify 1/2 into 1/2 0.398 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.398 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.399 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.399 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.400 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.401 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.403 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.404 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.405 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.409 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.411 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.421 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.425 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.427 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.433 * [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)) 0.433 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.433 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.433 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of 1/2 in x 0.433 * [backup-simplify]: Simplify 1/2 into 1/2 0.433 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.433 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.433 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.433 * [taylor]: Taking taylor expansion of 1 in x 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [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 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.438 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.438 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1/2 in x 0.438 * [backup-simplify]: Simplify 1/2 into 1/2 0.438 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.438 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.438 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.438 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [taylor]: Taking taylor expansion of (* x x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (* 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (sqrt 1) into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.443 * [backup-simplify]: Simplify 1/2 into 1/2 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.446 * [backup-simplify]: Simplify (+ 0 1) into 1 0.447 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.448 * [backup-simplify]: Simplify -1/4 into -1/4 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.462 * [backup-simplify]: Simplify 3/16 into 3/16 0.462 * [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))) 0.463 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.463 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.463 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.463 * [taylor]: Taking taylor expansion of 1/2 in x 0.463 * [backup-simplify]: Simplify 1/2 into 1/2 0.463 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.463 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.463 * [taylor]: Taking taylor expansion of 1 in x 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of 1 in x 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 0 1) into 1 0.465 * [backup-simplify]: Simplify (sqrt 1) into 1 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.469 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.469 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of 1/2 in x 0.469 * [backup-simplify]: Simplify 1/2 into 1/2 0.469 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.469 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.469 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.472 * [backup-simplify]: Simplify (sqrt 1) into 1 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.475 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.476 * [backup-simplify]: Simplify 1/2 into 1/2 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.483 * [backup-simplify]: Simplify -1/4 into -1/4 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.497 * [backup-simplify]: Simplify 3/16 into 3/16 0.498 * [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)))) 0.498 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.498 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.498 * [taylor]: Taking taylor expansion of 1/2 in x 0.498 * [backup-simplify]: Simplify 1/2 into 1/2 0.498 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.498 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.498 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.498 * [taylor]: Taking taylor expansion of 1 in x 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of 1 in x 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [backup-simplify]: Simplify -1 into -1 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ -1 1) into -1 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [backup-simplify]: Simplify -1 into -1 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ -1 1) into -1 0.500 * [backup-simplify]: Simplify (* -1 -1) into 1 0.501 * [backup-simplify]: Simplify (+ 0 1) into 1 0.501 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.505 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.505 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1/2 in x 0.505 * [backup-simplify]: Simplify 1/2 into 1/2 0.505 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.505 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.505 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.506 * [taylor]: Taking taylor expansion of 1 in x 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of 1 in x 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [backup-simplify]: Simplify -1 into -1 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (/ -1 1) into -1 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [backup-simplify]: Simplify -1 into -1 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (/ -1 1) into -1 0.507 * [backup-simplify]: Simplify (* -1 -1) into 1 0.508 * [backup-simplify]: Simplify (+ 0 1) into 1 0.508 * [backup-simplify]: Simplify (sqrt 1) into 1 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.512 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.512 * [backup-simplify]: Simplify 1/2 into 1/2 0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.516 * [backup-simplify]: Simplify (+ 1 0) into 1 0.517 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.518 * [backup-simplify]: Simplify -1/4 into -1/4 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.526 * [backup-simplify]: Simplify 3/16 into 3/16 0.526 * [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)))) 0.527 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.527 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 x))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.527 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.527 * [taylor]: Taking taylor expansion of 1/2 in x 0.527 * [backup-simplify]: Simplify 1/2 into 1/2 0.527 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.527 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.527 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.527 * [taylor]: Taking taylor expansion of 1 in x 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of 1 in x 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of (* x x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (* 0 0) into 0 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [backup-simplify]: Simplify (sqrt 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of 1/2 in x 0.530 * [backup-simplify]: Simplify 1/2 into 1/2 0.530 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of 1/2 in x 0.530 * [backup-simplify]: Simplify 1/2 into 1/2 0.530 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.530 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.530 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.530 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.530 * [taylor]: Taking taylor expansion of 1 in x 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of 1 in x 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of (* x x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (* 0 0) into 0 0.531 * [backup-simplify]: Simplify (+ 1 0) into 1 0.531 * [backup-simplify]: Simplify (sqrt 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of 1/2 in x 0.533 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.533 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.536 * [backup-simplify]: Simplify (+ 0 1) into 1 0.536 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.538 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.538 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.538 * [backup-simplify]: Simplify -1/4 into -1/4 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.546 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.547 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.547 * [backup-simplify]: Simplify 3/16 into 3/16 0.547 * [backup-simplify]: Simplify (+ (* 3/16 (pow x 4)) (+ (* -1/4 (pow x 2)) 1)) into (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) 0.547 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.547 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.547 * [taylor]: Taking taylor expansion of 1/2 in x 0.547 * [backup-simplify]: Simplify 1/2 into 1/2 0.547 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.547 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.547 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.547 * [taylor]: Taking taylor expansion of 1 in x 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of 1 in x 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (+ 0 1) into 1 0.550 * [backup-simplify]: Simplify (sqrt 1) into 1 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [taylor]: Taking taylor expansion of 1/2 in x 0.554 * [backup-simplify]: Simplify 1/2 into 1/2 0.554 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of 1/2 in x 0.554 * [backup-simplify]: Simplify 1/2 into 1/2 0.554 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.554 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.554 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (+ 0 1) into 1 0.556 * [backup-simplify]: Simplify (sqrt 1) into 1 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [taylor]: Taking taylor expansion of 1/2 in x 0.560 * [backup-simplify]: Simplify 1/2 into 1/2 0.561 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.561 * [backup-simplify]: Simplify 1/2 into 1/2 0.561 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.562 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.562 * [backup-simplify]: Simplify 1/2 into 1/2 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.568 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.571 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.571 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.571 * [backup-simplify]: Simplify -1/4 into -1/4 0.571 * [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)))) 0.572 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.572 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.572 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.572 * [taylor]: Taking taylor expansion of 1/2 in x 0.572 * [backup-simplify]: Simplify 1/2 into 1/2 0.572 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.572 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.572 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.572 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.572 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.572 * [taylor]: Taking taylor expansion of 1 in x 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of 1 in x 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ -1 1) into -1 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [backup-simplify]: Simplify -1 into -1 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (/ -1 1) into -1 0.574 * [backup-simplify]: Simplify (* -1 -1) into 1 0.574 * [backup-simplify]: Simplify (+ 0 1) into 1 0.575 * [backup-simplify]: Simplify (sqrt 1) into 1 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [taylor]: Taking taylor expansion of 1/2 in x 0.581 * [backup-simplify]: Simplify 1/2 into 1/2 0.581 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.581 * [taylor]: Taking taylor expansion of 1/2 in x 0.581 * [backup-simplify]: Simplify 1/2 into 1/2 0.581 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.581 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.581 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.581 * [taylor]: Taking taylor expansion of 1 in x 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [taylor]: Taking taylor expansion of 1 in x 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [backup-simplify]: Simplify -1 into -1 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ -1 1) into -1 0.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [backup-simplify]: Simplify -1 into -1 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ -1 1) into -1 0.583 * [backup-simplify]: Simplify (* -1 -1) into 1 0.584 * [backup-simplify]: Simplify (+ 0 1) into 1 0.584 * [backup-simplify]: Simplify (sqrt 1) into 1 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of 1/2 in x 0.588 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.589 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.590 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.596 * [backup-simplify]: Simplify (+ 1 0) into 1 0.597 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.599 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.600 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.600 * [backup-simplify]: Simplify -1/4 into -1/4 0.600 * [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))) 0.600 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.600 * [backup-simplify]: Simplify (hypot 1 x) into (hypot 1 x) 0.600 * [approximate]: Taking taylor expansion of (hypot 1 x) in (x) around 0 0.600 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.600 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.600 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.600 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.601 * [taylor]: Taking taylor expansion of 1 in x 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of 1 in x 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of (* x x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (* 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ 1 0) into 1 0.603 * [backup-simplify]: Simplify (sqrt 1) into 1 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (* 0 0) into 0 0.606 * [backup-simplify]: Simplify (+ 1 0) into 1 0.606 * [backup-simplify]: Simplify (sqrt 1) into 1 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.609 * [backup-simplify]: Simplify (+ 0 1) into 1 0.609 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.609 * [backup-simplify]: Simplify 1/2 into 1/2 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.614 * [backup-simplify]: Simplify -1/8 into -1/8 0.614 * [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))) 0.614 * [backup-simplify]: Simplify (hypot 1 (/ 1 x)) into (hypot 1 (/ 1 x)) 0.614 * [approximate]: Taking taylor expansion of (hypot 1 (/ 1 x)) in (x) around 0 0.614 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.614 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.614 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.614 * [taylor]: Taking taylor expansion of 1 in x 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of 1 in x 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (+ 0 1) into 1 0.616 * [backup-simplify]: Simplify (sqrt 1) into 1 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.618 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.618 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (+ 0 1) into 1 0.619 * [backup-simplify]: Simplify (sqrt 1) into 1 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.623 * [backup-simplify]: Simplify (+ 1 0) into 1 0.624 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.624 * [backup-simplify]: Simplify 1/2 into 1/2 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.630 * [backup-simplify]: Simplify -1/8 into -1/8 0.631 * [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)))) 0.631 * [backup-simplify]: Simplify (hypot 1 (/ 1 (- x))) into (hypot 1 (/ -1 x)) 0.631 * [approximate]: Taking taylor expansion of (hypot 1 (/ -1 x)) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.631 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.631 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.631 * [taylor]: Taking taylor expansion of 1 in x 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of 1 in x 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [backup-simplify]: Simplify -1 into -1 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ -1 1) into -1 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [backup-simplify]: Simplify -1 into -1 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ -1 1) into -1 0.632 * [backup-simplify]: Simplify (* -1 -1) into 1 0.632 * [backup-simplify]: Simplify (+ 0 1) into 1 0.632 * [backup-simplify]: Simplify (sqrt 1) into 1 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.634 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.635 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.635 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.635 * [taylor]: Taking taylor expansion of 1 in x 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [taylor]: Taking taylor expansion of 1 in x 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [backup-simplify]: Simplify -1 into -1 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (/ -1 1) into -1 0.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.635 * [taylor]: Taking taylor expansion of -1 in x 0.635 * [backup-simplify]: Simplify -1 into -1 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (/ -1 1) into -1 0.636 * [backup-simplify]: Simplify (* -1 -1) into 1 0.636 * [backup-simplify]: Simplify (+ 0 1) into 1 0.636 * [backup-simplify]: Simplify (sqrt 1) into 1 0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.644 * [backup-simplify]: Simplify (+ 1 0) into 1 0.645 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.645 * [backup-simplify]: Simplify 1/2 into 1/2 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.657 * [backup-simplify]: Simplify -1/8 into -1/8 0.658 * [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)))) 0.658 * * * [progress]: simplifying candidates 0.658 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 0.658 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 0.658 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 0.658 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 0.658 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 0.659 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 22 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 29 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 0.660 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 0.661 * * * * [progress]: [ 46 / 117 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.662 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 57 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 0.662 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 0.663 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 76 / 117 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.664 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 0.664 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 93 / 117 ] simplifiying candidate #real (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.665 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 0.665 * * * * [progress]: [ 105 / 117 ] simplifiying candidate #real (real->posit16 (hypot 1 x))))))))> 0.665 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 107 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 0.666 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 0.669 * [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 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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 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (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)) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 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)))) 0.674 * * [simplify]: iteration 0: 212 enodes 0.785 * * [simplify]: iteration 1: 511 enodes 1.084 * * [simplify]: iteration 2: 1393 enodes 2.969 * * [simplify]: iteration 3: 4680 enodes 3.994 * * [simplify]: iteration complete: 5000 enodes 3.994 * * [simplify]: Extracting #0: cost 89 inf + 0 3.997 * * [simplify]: Extracting #1: cost 553 inf + 3 4.007 * * [simplify]: Extracting #2: cost 1008 inf + 6912 4.045 * * [simplify]: Extracting #3: cost 604 inf + 65967 4.087 * * [simplify]: Extracting #4: cost 254 inf + 143072 4.157 * * [simplify]: Extracting #5: cost 20 inf + 217936 4.216 * * [simplify]: Extracting #6: cost 0 inf + 224265 4.276 * [simplify]: Simplified to: (- 1 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1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 0) (expm1 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log1p (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (log1p (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (log (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (fma (/ 1/2 (hypot 1 x)) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) 1/8) (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4) (+ (/ (/ -1/4 (hypot 1 x)) (hypot 1 x)) 1/4) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) 1/2) (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2)) (expm1 (hypot 1 x)) (log1p (hypot 1 x)) (fma x x 1) (log (hypot 1 x)) (exp (hypot 1 x)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) (sqrt (hypot 1 x)) (sqrt (hypot 1 x)) (real->posit16 (hypot 1 x)) (fma 1/8 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (* (* (* x x) (* x x)) -11/128))) (fma (/ (/ 1 (* x x)) (sqrt 1/2)) 1/16 (- 1 (+ (/ (/ 1/4 x) (sqrt 1/2)) (sqrt 1/2)))) (- (fma (/ 1/4 x) (/ 1 (sqrt 1/2)) (fma (* (/ 1 (sqrt 1/2)) 1/16) (/ 1 (* x x)) 1)) (sqrt 1/2)) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (- (/ 1/2 x) (fma (/ (/ 1/2 x) x) (/ 1/2 x) (/ -3/16 (pow x 5)))) (fma (/ (/ 1/2 x) x) (/ 1/2 x) (- (/ -3/16 (pow x 5)) (/ 1/2 x))) (fma (* x x) -1/4 (fma (* (* x x) (* x x)) 3/16 1)) (- 1/2 (fma (/ (/ 1/2 x) x) (/ 1/2 x) (/ -1/2 x))) (fma (/ (/ 1/2 x) x) (/ 1/2 x) (- 1/2 (/ 1/2 x))) (fma (* x x) (* (* x x) -1/8) (fma (* x x) 1/2 1)) (+ (- x (/ (/ 1/8 x) (* x x))) (/ 1/2 x)) (+ (/ (/ 1/8 x) (* x x)) (- (/ -1/2 x) x)) 4.291 * * * [progress]: adding candidates to table 4.743 * * [progress]: iteration 2 / 4 4.743 * * * [progress]: picking best candidate 4.762 * * * * [pick]: Picked # 4.762 * * * [progress]: localizing error 4.800 * * * [progress]: generating rewritten candidates 4.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.809 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.938 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.048 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 5.056 * * * [progress]: generating series expansions 5.056 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.056 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 5.056 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 5.056 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 5.056 * [taylor]: Taking taylor expansion of 1 in x 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.056 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.056 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.056 * [taylor]: Taking taylor expansion of 1/2 in x 5.056 * [backup-simplify]: Simplify 1/2 into 1/2 5.057 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.057 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.057 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.057 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.057 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.057 * [taylor]: Taking taylor expansion of 1 in x 5.057 * [backup-simplify]: Simplify 1 into 1 5.057 * [taylor]: Taking taylor expansion of 1 in x 5.057 * [backup-simplify]: Simplify 1 into 1 5.057 * [taylor]: Taking taylor expansion of (* x x) in x 5.057 * [taylor]: Taking taylor expansion of x in x 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 1 into 1 5.057 * [taylor]: Taking taylor expansion of x in x 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (* 1 1) into 1 5.058 * [backup-simplify]: Simplify (* 0 0) into 0 5.058 * [backup-simplify]: Simplify (+ 1 0) into 1 5.059 * [backup-simplify]: Simplify (sqrt 1) into 1 5.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.059 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.060 * [backup-simplify]: Simplify (+ 0 0) into 0 5.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.060 * [taylor]: Taking taylor expansion of 1/2 in x 5.060 * [backup-simplify]: Simplify 1/2 into 1/2 5.061 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.061 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.061 * [backup-simplify]: Simplify (* 1 1) into 1 5.062 * [backup-simplify]: Simplify (* 1 1) into 1 5.062 * [backup-simplify]: Simplify (sqrt 1) into 1 5.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.064 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 5.064 * [taylor]: Taking taylor expansion of 1 in x 5.064 * [backup-simplify]: Simplify 1 into 1 5.064 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.064 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.064 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.064 * [taylor]: Taking taylor expansion of 1/2 in x 5.064 * [backup-simplify]: Simplify 1/2 into 1/2 5.064 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.064 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.064 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.064 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.064 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.065 * [taylor]: Taking taylor expansion of 1 in x 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [taylor]: Taking taylor expansion of 1 in x 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [taylor]: Taking taylor expansion of (* x x) in x 5.065 * [taylor]: Taking taylor expansion of x in x 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [taylor]: Taking taylor expansion of x in x 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (* 1 1) into 1 5.065 * [backup-simplify]: Simplify (* 0 0) into 0 5.065 * [backup-simplify]: Simplify (+ 1 0) into 1 5.066 * [backup-simplify]: Simplify (sqrt 1) into 1 5.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.067 * [backup-simplify]: Simplify (+ 0 0) into 0 5.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.067 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [taylor]: Taking taylor expansion of 1/2 in x 5.067 * [backup-simplify]: Simplify 1/2 into 1/2 5.068 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.068 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.068 * [backup-simplify]: Simplify (* 1 1) into 1 5.068 * [backup-simplify]: Simplify (* 1 1) into 1 5.069 * [backup-simplify]: Simplify (sqrt 1) into 1 5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.071 * [backup-simplify]: Simplify (- 1) into -1 5.072 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify (- 0) into 0 5.072 * [backup-simplify]: Simplify (+ 0 0) into 0 5.072 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.073 * [backup-simplify]: Simplify (+ 0 1) into 1 5.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.075 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.076 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.076 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 5.077 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 5.077 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 5.078 * [backup-simplify]: Simplify (- -3/8) into 3/8 5.078 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 5.078 * [backup-simplify]: Simplify 3/8 into 3/8 5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.080 * [backup-simplify]: Simplify (+ 0 0) into 0 5.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 5.085 * [backup-simplify]: Simplify (- 0) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.086 * [backup-simplify]: Simplify (+ 0 0) into 0 5.090 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.092 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.092 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.093 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 5.094 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 5.095 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 5.096 * [backup-simplify]: Simplify (- 39/128) into -39/128 5.096 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 5.096 * [backup-simplify]: Simplify -39/128 into -39/128 5.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.098 * [backup-simplify]: Simplify (+ 0 0) into 0 5.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 5.101 * [backup-simplify]: Simplify (+ 0 0) into 0 5.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 5.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 5.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 5.105 * [backup-simplify]: Simplify (- 0) into 0 5.106 * [backup-simplify]: Simplify (+ 0 0) into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.108 * [backup-simplify]: Simplify (+ 0 0) into 0 5.109 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.110 * [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 5.111 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 5.112 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 5.113 * [backup-simplify]: Simplify (+ (* 1 -5/32) (+ (* 0 0) (+ (* -1/4 3/16) (+ (* 0 0) (+ (* 3/16 -1/4) (+ (* 0 0) (* -5/32 1))))))) into -13/32 5.114 * [backup-simplify]: Simplify (+ (* 1 -13/32) (+ (* 0 0) (+ (* -1/4 7/16) (+ (* 0 0) (+ (* 3/16 -1/2) (+ (* 0 0) (* -5/32 1))))))) into -49/64 5.115 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 5.116 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 5.116 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 5.116 * [backup-simplify]: Simplify 275/1024 into 275/1024 5.116 * [backup-simplify]: Simplify (+ (* 275/1024 (pow x 6)) (+ (* -39/128 (pow x 4)) (* 3/8 (pow x 2)))) into (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) 5.117 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 5.117 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 5.117 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.117 * [taylor]: Taking taylor expansion of 1 in x 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.117 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.117 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.117 * [taylor]: Taking taylor expansion of 1/2 in x 5.117 * [backup-simplify]: Simplify 1/2 into 1/2 5.117 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.117 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.117 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.117 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.117 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.117 * [taylor]: Taking taylor expansion of 1 in x 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of 1 in x 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.117 * [taylor]: Taking taylor expansion of x in x 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (/ 1 1) into 1 5.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.117 * [taylor]: Taking taylor expansion of x in x 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (/ 1 1) into 1 5.118 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (+ 0 1) into 1 5.118 * [backup-simplify]: Simplify (sqrt 1) into 1 5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.120 * [backup-simplify]: Simplify (+ 0 0) into 0 5.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [taylor]: Taking taylor expansion of 1/2 in x 5.121 * [backup-simplify]: Simplify 1/2 into 1/2 5.121 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.121 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.121 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.122 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.122 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.122 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.123 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.123 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.124 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.124 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.124 * [taylor]: Taking taylor expansion of 1 in x 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.124 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.124 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.124 * [taylor]: Taking taylor expansion of 1/2 in x 5.124 * [backup-simplify]: Simplify 1/2 into 1/2 5.124 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.124 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.124 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.124 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.124 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.124 * [taylor]: Taking taylor expansion of 1 in x 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [taylor]: Taking taylor expansion of 1 in x 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.124 * [taylor]: Taking taylor expansion of x in x 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.125 * [taylor]: Taking taylor expansion of x in x 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [backup-simplify]: Simplify (* 1 1) into 1 5.125 * [backup-simplify]: Simplify (+ 0 1) into 1 5.126 * [backup-simplify]: Simplify (sqrt 1) into 1 5.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.127 * [backup-simplify]: Simplify (+ 0 0) into 0 5.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.128 * [backup-simplify]: Simplify (/ 1 1) into 1 5.128 * [taylor]: Taking taylor expansion of 1/2 in x 5.128 * [backup-simplify]: Simplify 1/2 into 1/2 5.128 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.128 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.129 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.129 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.130 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.130 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.130 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.131 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.131 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.132 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.133 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.133 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 5.134 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.137 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.138 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.139 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.140 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.143 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 5.149 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 5.153 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 5.157 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 5.162 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 x) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 x)) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) 5.162 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 5.162 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 5.162 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 5.162 * [taylor]: Taking taylor expansion of 1 in x 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.162 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.162 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.163 * [taylor]: Taking taylor expansion of 1/2 in x 5.163 * [backup-simplify]: Simplify 1/2 into 1/2 5.163 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.163 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.163 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.163 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.163 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.163 * [taylor]: Taking taylor expansion of 1 in x 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [taylor]: Taking taylor expansion of 1 in x 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.163 * [taylor]: Taking taylor expansion of -1 in x 5.163 * [backup-simplify]: Simplify -1 into -1 5.163 * [taylor]: Taking taylor expansion of x in x 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ -1 1) into -1 5.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.163 * [taylor]: Taking taylor expansion of -1 in x 5.163 * [backup-simplify]: Simplify -1 into -1 5.163 * [taylor]: Taking taylor expansion of x in x 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ -1 1) into -1 5.164 * [backup-simplify]: Simplify (* -1 -1) into 1 5.164 * [backup-simplify]: Simplify (+ 0 1) into 1 5.164 * [backup-simplify]: Simplify (sqrt 1) into 1 5.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.166 * [backup-simplify]: Simplify (+ 0 0) into 0 5.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.167 * [backup-simplify]: Simplify (/ 1 1) into 1 5.167 * [taylor]: Taking taylor expansion of 1/2 in x 5.167 * [backup-simplify]: Simplify 1/2 into 1/2 5.167 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.167 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.167 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.168 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.168 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.168 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.168 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.169 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.170 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.170 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 5.170 * [taylor]: Taking taylor expansion of 1 in x 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.170 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.170 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.170 * [taylor]: Taking taylor expansion of 1/2 in x 5.170 * [backup-simplify]: Simplify 1/2 into 1/2 5.170 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.170 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.170 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.170 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.170 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.170 * [taylor]: Taking taylor expansion of 1 in x 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [taylor]: Taking taylor expansion of 1 in x 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.170 * [taylor]: Taking taylor expansion of -1 in x 5.170 * [backup-simplify]: Simplify -1 into -1 5.170 * [taylor]: Taking taylor expansion of x in x 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (/ -1 1) into -1 5.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.171 * [taylor]: Taking taylor expansion of -1 in x 5.171 * [backup-simplify]: Simplify -1 into -1 5.171 * [taylor]: Taking taylor expansion of x in x 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (/ -1 1) into -1 5.171 * [backup-simplify]: Simplify (* -1 -1) into 1 5.172 * [backup-simplify]: Simplify (+ 0 1) into 1 5.172 * [backup-simplify]: Simplify (sqrt 1) into 1 5.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.175 * [backup-simplify]: Simplify (+ 0 0) into 0 5.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.183 * [backup-simplify]: Simplify (/ 1 1) into 1 5.184 * [taylor]: Taking taylor expansion of 1/2 in x 5.184 * [backup-simplify]: Simplify 1/2 into 1/2 5.185 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.185 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.186 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.186 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.186 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.187 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.188 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.188 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.190 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.191 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.193 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.194 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 5.195 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.199 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.201 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.205 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.211 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 5.221 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 5.228 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 5.234 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 5.244 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 (- x))) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) 5.244 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.244 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 5.244 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 5.244 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.244 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.244 * [taylor]: Taking taylor expansion of 1/2 in x 5.245 * [backup-simplify]: Simplify 1/2 into 1/2 5.245 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.245 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.245 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.245 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.245 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.245 * [taylor]: Taking taylor expansion of 1 in x 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [taylor]: Taking taylor expansion of 1 in x 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [taylor]: Taking taylor expansion of (* x x) in x 5.245 * [taylor]: Taking taylor expansion of x in x 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [taylor]: Taking taylor expansion of x in x 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [backup-simplify]: Simplify (* 1 1) into 1 5.246 * [backup-simplify]: Simplify (* 0 0) into 0 5.246 * [backup-simplify]: Simplify (+ 1 0) into 1 5.247 * [backup-simplify]: Simplify (sqrt 1) into 1 5.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.248 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.249 * [backup-simplify]: Simplify (/ 1 1) into 1 5.249 * [taylor]: Taking taylor expansion of 1/2 in x 5.249 * [backup-simplify]: Simplify 1/2 into 1/2 5.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.250 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.251 * [backup-simplify]: Simplify (* 1 1) into 1 5.251 * [backup-simplify]: Simplify (* 1 1) into 1 5.252 * [backup-simplify]: Simplify (sqrt 1) into 1 5.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.254 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.256 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.256 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.256 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.256 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.256 * [taylor]: Taking taylor expansion of 1/2 in x 5.256 * [backup-simplify]: Simplify 1/2 into 1/2 5.256 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.256 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.256 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.256 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.256 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.256 * [taylor]: Taking taylor expansion of 1 in x 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [taylor]: Taking taylor expansion of 1 in x 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [taylor]: Taking taylor expansion of (* x x) in x 5.256 * [taylor]: Taking taylor expansion of x in x 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [taylor]: Taking taylor expansion of x in x 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.257 * [backup-simplify]: Simplify (* 1 1) into 1 5.257 * [backup-simplify]: Simplify (* 0 0) into 0 5.258 * [backup-simplify]: Simplify (+ 1 0) into 1 5.258 * [backup-simplify]: Simplify (sqrt 1) into 1 5.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.259 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.260 * [backup-simplify]: Simplify (+ 0 0) into 0 5.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.261 * [backup-simplify]: Simplify (/ 1 1) into 1 5.261 * [taylor]: Taking taylor expansion of 1/2 in x 5.261 * [backup-simplify]: Simplify 1/2 into 1/2 5.261 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.262 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.262 * [backup-simplify]: Simplify (* 1 1) into 1 5.263 * [backup-simplify]: Simplify (* 1 1) into 1 5.263 * [backup-simplify]: Simplify (sqrt 1) into 1 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.269 * [backup-simplify]: Simplify (+ 0 1) into 1 5.270 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.272 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.273 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.274 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 5.275 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 5.276 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 5.276 * [backup-simplify]: Simplify -3/8 into -3/8 5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.277 * [backup-simplify]: Simplify (+ 0 0) into 0 5.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.284 * [backup-simplify]: Simplify (+ 0 0) into 0 5.285 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.287 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.287 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.288 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 5.289 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 5.290 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 5.290 * [backup-simplify]: Simplify 39/128 into 39/128 5.290 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 5.291 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 5.291 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 5.291 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.291 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.291 * [taylor]: Taking taylor expansion of 1/2 in x 5.291 * [backup-simplify]: Simplify 1/2 into 1/2 5.291 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.291 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.291 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.291 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.291 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.291 * [taylor]: Taking taylor expansion of 1 in x 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of 1 in x 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.291 * [taylor]: Taking taylor expansion of x in x 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (/ 1 1) into 1 5.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.291 * [taylor]: Taking taylor expansion of x in x 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.292 * [backup-simplify]: Simplify (/ 1 1) into 1 5.292 * [backup-simplify]: Simplify (* 1 1) into 1 5.292 * [backup-simplify]: Simplify (+ 0 1) into 1 5.292 * [backup-simplify]: Simplify (sqrt 1) into 1 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.294 * [backup-simplify]: Simplify (+ 0 0) into 0 5.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.295 * [backup-simplify]: Simplify (/ 1 1) into 1 5.295 * [taylor]: Taking taylor expansion of 1/2 in x 5.295 * [backup-simplify]: Simplify 1/2 into 1/2 5.295 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.295 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.295 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.296 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.296 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.296 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.296 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.297 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.298 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.298 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.298 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.298 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.298 * [taylor]: Taking taylor expansion of 1/2 in x 5.298 * [backup-simplify]: Simplify 1/2 into 1/2 5.298 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.298 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.298 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.298 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.298 * [taylor]: Taking taylor expansion of 1 in x 5.298 * [backup-simplify]: Simplify 1 into 1 5.298 * [taylor]: Taking taylor expansion of 1 in x 5.298 * [backup-simplify]: Simplify 1 into 1 5.298 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.298 * [taylor]: Taking taylor expansion of x in x 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.299 * [taylor]: Taking taylor expansion of x in x 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [backup-simplify]: Simplify (* 1 1) into 1 5.300 * [backup-simplify]: Simplify (+ 0 1) into 1 5.300 * [backup-simplify]: Simplify (sqrt 1) into 1 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.302 * [backup-simplify]: Simplify (+ 0 0) into 0 5.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.302 * [backup-simplify]: Simplify (/ 1 1) into 1 5.302 * [taylor]: Taking taylor expansion of 1/2 in x 5.302 * [backup-simplify]: Simplify 1/2 into 1/2 5.303 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.303 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.303 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.303 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.304 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.304 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.305 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.310 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.310 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.311 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.313 * [backup-simplify]: Simplify (+ 0 0) into 0 5.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.315 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.321 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 5.329 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 5.339 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 5.339 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 5.339 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 5.339 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.339 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.339 * [taylor]: Taking taylor expansion of 1/2 in x 5.339 * [backup-simplify]: Simplify 1/2 into 1/2 5.339 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.339 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.339 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.339 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.340 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.340 * [taylor]: Taking taylor expansion of 1 in x 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [taylor]: Taking taylor expansion of 1 in x 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.340 * [taylor]: Taking taylor expansion of -1 in x 5.340 * [backup-simplify]: Simplify -1 into -1 5.340 * [taylor]: Taking taylor expansion of x in x 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (/ -1 1) into -1 5.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.340 * [taylor]: Taking taylor expansion of -1 in x 5.340 * [backup-simplify]: Simplify -1 into -1 5.340 * [taylor]: Taking taylor expansion of x in x 5.340 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (/ -1 1) into -1 5.341 * [backup-simplify]: Simplify (* -1 -1) into 1 5.342 * [backup-simplify]: Simplify (+ 0 1) into 1 5.342 * [backup-simplify]: Simplify (sqrt 1) into 1 5.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.345 * [backup-simplify]: Simplify (+ 0 0) into 0 5.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.346 * [backup-simplify]: Simplify (/ 1 1) into 1 5.346 * [taylor]: Taking taylor expansion of 1/2 in x 5.346 * [backup-simplify]: Simplify 1/2 into 1/2 5.347 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.347 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.348 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.348 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.349 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.349 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.349 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.351 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.352 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.352 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.352 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.352 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.352 * [taylor]: Taking taylor expansion of 1/2 in x 5.352 * [backup-simplify]: Simplify 1/2 into 1/2 5.352 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.353 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.353 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.353 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.353 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.353 * [taylor]: Taking taylor expansion of 1 in x 5.353 * [backup-simplify]: Simplify 1 into 1 5.353 * [taylor]: Taking taylor expansion of 1 in x 5.353 * [backup-simplify]: Simplify 1 into 1 5.353 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.353 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.353 * [taylor]: Taking taylor expansion of -1 in x 5.353 * [backup-simplify]: Simplify -1 into -1 5.353 * [taylor]: Taking taylor expansion of x in x 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (/ -1 1) into -1 5.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.354 * [taylor]: Taking taylor expansion of -1 in x 5.354 * [backup-simplify]: Simplify -1 into -1 5.354 * [taylor]: Taking taylor expansion of x in x 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (/ -1 1) into -1 5.355 * [backup-simplify]: Simplify (* -1 -1) into 1 5.355 * [backup-simplify]: Simplify (+ 0 1) into 1 5.355 * [backup-simplify]: Simplify (sqrt 1) into 1 5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.358 * [backup-simplify]: Simplify (+ 0 0) into 0 5.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.359 * [backup-simplify]: Simplify (/ 1 1) into 1 5.359 * [taylor]: Taking taylor expansion of 1/2 in x 5.360 * [backup-simplify]: Simplify 1/2 into 1/2 5.360 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.360 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.361 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.361 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.362 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.362 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.363 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.363 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.365 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.365 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.366 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.369 * [backup-simplify]: Simplify (+ 0 0) into 0 5.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.371 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.376 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 5.384 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 5.394 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 5.394 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.394 * [backup-simplify]: Simplify (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 5.394 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 5.394 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.394 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.394 * [taylor]: Taking taylor expansion of 1/2 in x 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.394 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.395 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.395 * [taylor]: Taking taylor expansion of 1 in x 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [taylor]: Taking taylor expansion of 1 in x 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [taylor]: Taking taylor expansion of (* x x) in x 5.395 * [taylor]: Taking taylor expansion of x in x 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [taylor]: Taking taylor expansion of x in x 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [backup-simplify]: Simplify (* 1 1) into 1 5.396 * [backup-simplify]: Simplify (* 0 0) into 0 5.396 * [backup-simplify]: Simplify (+ 1 0) into 1 5.397 * [backup-simplify]: Simplify (sqrt 1) into 1 5.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.398 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.398 * [backup-simplify]: Simplify (+ 0 0) into 0 5.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.399 * [backup-simplify]: Simplify (/ 1 1) into 1 5.399 * [taylor]: Taking taylor expansion of 1/2 in x 5.400 * [backup-simplify]: Simplify 1/2 into 1/2 5.400 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.400 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.401 * [backup-simplify]: Simplify (sqrt 1) into 1 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.403 * [backup-simplify]: Simplify (+ 0 0) into 0 5.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.404 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.404 * [taylor]: Taking taylor expansion of 1/2 in x 5.404 * [backup-simplify]: Simplify 1/2 into 1/2 5.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.404 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.404 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.404 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.404 * [taylor]: Taking taylor expansion of 1 in x 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [taylor]: Taking taylor expansion of 1 in x 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [taylor]: Taking taylor expansion of (* x x) in x 5.404 * [taylor]: Taking taylor expansion of x in x 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [taylor]: Taking taylor expansion of x in x 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (* 1 1) into 1 5.405 * [backup-simplify]: Simplify (* 0 0) into 0 5.406 * [backup-simplify]: Simplify (+ 1 0) into 1 5.406 * [backup-simplify]: Simplify (sqrt 1) into 1 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.408 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.408 * [backup-simplify]: Simplify (+ 0 0) into 0 5.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.409 * [backup-simplify]: Simplify (/ 1 1) into 1 5.409 * [taylor]: Taking taylor expansion of 1/2 in x 5.409 * [backup-simplify]: Simplify 1/2 into 1/2 5.409 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.409 * [taylor]: Taking taylor expansion of 1/2 in x 5.409 * [backup-simplify]: Simplify 1/2 into 1/2 5.409 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.409 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.410 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.410 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.410 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.410 * [taylor]: Taking taylor expansion of 1 in x 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [taylor]: Taking taylor expansion of 1 in x 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [taylor]: Taking taylor expansion of (* x x) in x 5.410 * [taylor]: Taking taylor expansion of x in x 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [taylor]: Taking taylor expansion of x in x 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 1 into 1 5.411 * [backup-simplify]: Simplify (* 1 1) into 1 5.411 * [backup-simplify]: Simplify (* 0 0) into 0 5.412 * [backup-simplify]: Simplify (+ 1 0) into 1 5.412 * [backup-simplify]: Simplify (sqrt 1) into 1 5.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.413 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.415 * [backup-simplify]: Simplify (/ 1 1) into 1 5.415 * [taylor]: Taking taylor expansion of 1/2 in x 5.415 * [backup-simplify]: Simplify 1/2 into 1/2 5.415 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.416 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.416 * [backup-simplify]: Simplify (sqrt 1) into 1 5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.419 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.419 * [taylor]: Taking taylor expansion of 1/2 in x 5.419 * [backup-simplify]: Simplify 1/2 into 1/2 5.419 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.419 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.419 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.419 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.419 * [taylor]: Taking taylor expansion of 1 in x 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [taylor]: Taking taylor expansion of 1 in x 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [taylor]: Taking taylor expansion of (* x x) in x 5.420 * [taylor]: Taking taylor expansion of x in x 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [taylor]: Taking taylor expansion of x in x 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (* 1 1) into 1 5.421 * [backup-simplify]: Simplify (* 0 0) into 0 5.421 * [backup-simplify]: Simplify (+ 1 0) into 1 5.421 * [backup-simplify]: Simplify (sqrt 1) into 1 5.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.423 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.423 * [backup-simplify]: Simplify (+ 0 0) into 0 5.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.424 * [backup-simplify]: Simplify (/ 1 1) into 1 5.424 * [taylor]: Taking taylor expansion of 1/2 in x 5.424 * [backup-simplify]: Simplify 1/2 into 1/2 5.425 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.425 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.425 * [backup-simplify]: Simplify (+ 1 1) into 2 5.425 * [backup-simplify]: Simplify 2 into 2 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.430 * [backup-simplify]: Simplify (+ 0 1) into 1 5.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.433 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.433 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.433 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 5.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.435 * [backup-simplify]: Simplify (+ 0 1) into 1 5.435 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.437 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.437 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.437 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 5.437 * [backup-simplify]: Simplify -3/8 into -3/8 5.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.439 * [backup-simplify]: Simplify (+ 0 0) into 0 5.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (+ 0 0) into 0 5.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.443 * [backup-simplify]: Simplify (+ 0 0) into 0 5.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.453 * [backup-simplify]: Simplify (+ 0 0) into 0 5.453 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.455 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.456 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.456 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 5.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.458 * [backup-simplify]: Simplify (+ 0 0) into 0 5.459 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.462 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.463 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.463 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 5.463 * [backup-simplify]: Simplify 35/128 into 35/128 5.464 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 2)) into (- (+ (* 35/128 (pow x 4)) 2) (* 3/8 (pow x 2))) 5.464 * [backup-simplify]: Simplify (+ (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) 5.464 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in (x) around 0 5.464 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 5.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.464 * [taylor]: Taking taylor expansion of 1/2 in x 5.464 * [backup-simplify]: Simplify 1/2 into 1/2 5.464 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.464 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.464 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.465 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.465 * [taylor]: Taking taylor expansion of 1 in x 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [taylor]: Taking taylor expansion of 1 in x 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.466 * [backup-simplify]: Simplify (/ 1 1) into 1 5.466 * [backup-simplify]: Simplify (* 1 1) into 1 5.467 * [backup-simplify]: Simplify (+ 0 1) into 1 5.467 * [backup-simplify]: Simplify (sqrt 1) into 1 5.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.470 * [backup-simplify]: Simplify (+ 0 0) into 0 5.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.471 * [backup-simplify]: Simplify (/ 1 1) into 1 5.471 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 5.471 * [taylor]: Taking taylor expansion of 1/2 in x 5.471 * [backup-simplify]: Simplify 1/2 into 1/2 5.471 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.471 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.471 * [taylor]: Taking taylor expansion of 1/2 in x 5.471 * [backup-simplify]: Simplify 1/2 into 1/2 5.471 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.471 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.471 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.471 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.471 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.471 * [taylor]: Taking taylor expansion of 1 in x 5.471 * [backup-simplify]: Simplify 1 into 1 5.471 * [taylor]: Taking taylor expansion of 1 in x 5.471 * [backup-simplify]: Simplify 1 into 1 5.471 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.471 * [taylor]: Taking taylor expansion of x in x 5.471 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ 1 1) into 1 5.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.472 * [taylor]: Taking taylor expansion of x in x 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ 1 1) into 1 5.473 * [backup-simplify]: Simplify (* 1 1) into 1 5.473 * [backup-simplify]: Simplify (+ 0 1) into 1 5.474 * [backup-simplify]: Simplify (sqrt 1) into 1 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.476 * [backup-simplify]: Simplify (+ 0 0) into 0 5.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.478 * [backup-simplify]: Simplify (/ 1 1) into 1 5.478 * [taylor]: Taking taylor expansion of 1/2 in x 5.478 * [backup-simplify]: Simplify 1/2 into 1/2 5.478 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.479 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.479 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.479 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.481 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.481 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 5.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.481 * [taylor]: Taking taylor expansion of 1/2 in x 5.481 * [backup-simplify]: Simplify 1/2 into 1/2 5.481 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.481 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.481 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.481 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.482 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.482 * [taylor]: Taking taylor expansion of 1 in x 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [taylor]: Taking taylor expansion of 1 in x 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.482 * [taylor]: Taking taylor expansion of x in x 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.482 * [taylor]: Taking taylor expansion of x in x 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.483 * [backup-simplify]: Simplify (/ 1 1) into 1 5.483 * [backup-simplify]: Simplify (* 1 1) into 1 5.484 * [backup-simplify]: Simplify (+ 0 1) into 1 5.484 * [backup-simplify]: Simplify (sqrt 1) into 1 5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.487 * [backup-simplify]: Simplify (+ 0 0) into 0 5.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.488 * [backup-simplify]: Simplify (/ 1 1) into 1 5.488 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 5.488 * [taylor]: Taking taylor expansion of 1/2 in x 5.488 * [backup-simplify]: Simplify 1/2 into 1/2 5.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.488 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.488 * [taylor]: Taking taylor expansion of 1/2 in x 5.488 * [backup-simplify]: Simplify 1/2 into 1/2 5.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.488 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.488 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.488 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.488 * [taylor]: Taking taylor expansion of 1 in x 5.488 * [backup-simplify]: Simplify 1 into 1 5.488 * [taylor]: Taking taylor expansion of 1 in x 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.489 * [taylor]: Taking taylor expansion of x in x 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.489 * [taylor]: Taking taylor expansion of x in x 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.490 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [backup-simplify]: Simplify (* 1 1) into 1 5.490 * [backup-simplify]: Simplify (+ 0 1) into 1 5.491 * [backup-simplify]: Simplify (sqrt 1) into 1 5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.494 * [backup-simplify]: Simplify (+ 0 0) into 0 5.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.495 * [backup-simplify]: Simplify (/ 1 1) into 1 5.495 * [taylor]: Taking taylor expansion of 1/2 in x 5.495 * [backup-simplify]: Simplify 1/2 into 1/2 5.495 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.496 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.496 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.496 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.498 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.499 * [backup-simplify]: Simplify (+ 1/2 (sqrt 1/2)) into (+ (sqrt 1/2) 1/2) 5.501 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 1/2)) into (+ (sqrt 1/2) 1/2) 5.501 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1/2) into (+ (sqrt 1/2) 1/2) 5.502 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.504 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (sqrt 1/2))) into (* 1/4 (/ 1 (sqrt 1/2))) 5.506 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 5.509 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.512 * [backup-simplify]: Simplify (+ 0 0) into 0 5.515 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.517 * [backup-simplify]: Simplify (+ 0 (/ -1/32 (pow (sqrt 1/2) 3))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.520 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.522 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.527 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 x)) (+ (sqrt 1/2) 1/2))) into (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1/2))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 5.527 * [backup-simplify]: Simplify (+ (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) 5.527 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in (x) around 0 5.527 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 5.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.527 * [taylor]: Taking taylor expansion of 1/2 in x 5.527 * [backup-simplify]: Simplify 1/2 into 1/2 5.527 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.527 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.527 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.527 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.527 * [taylor]: Taking taylor expansion of 1 in x 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [taylor]: Taking taylor expansion of 1 in x 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.527 * [taylor]: Taking taylor expansion of -1 in x 5.527 * [backup-simplify]: Simplify -1 into -1 5.527 * [taylor]: Taking taylor expansion of x in x 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.528 * [backup-simplify]: Simplify (/ -1 1) into -1 5.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.528 * [taylor]: Taking taylor expansion of -1 in x 5.528 * [backup-simplify]: Simplify -1 into -1 5.528 * [taylor]: Taking taylor expansion of x in x 5.528 * [backup-simplify]: Simplify 0 into 0 5.528 * [backup-simplify]: Simplify 1 into 1 5.528 * [backup-simplify]: Simplify (/ -1 1) into -1 5.528 * [backup-simplify]: Simplify (* -1 -1) into 1 5.529 * [backup-simplify]: Simplify (+ 0 1) into 1 5.529 * [backup-simplify]: Simplify (sqrt 1) into 1 5.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.530 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.530 * [backup-simplify]: Simplify (+ 0 0) into 0 5.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.531 * [backup-simplify]: Simplify (/ 1 1) into 1 5.531 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 5.531 * [taylor]: Taking taylor expansion of 1/2 in x 5.531 * [backup-simplify]: Simplify 1/2 into 1/2 5.531 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.531 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.531 * [taylor]: Taking taylor expansion of 1/2 in x 5.531 * [backup-simplify]: Simplify 1/2 into 1/2 5.531 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.531 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.531 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.531 * [taylor]: Taking taylor expansion of 1 in x 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [taylor]: Taking taylor expansion of 1 in x 5.531 * [backup-simplify]: Simplify 1 into 1 5.532 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.532 * [taylor]: Taking taylor expansion of -1 in x 5.532 * [backup-simplify]: Simplify -1 into -1 5.532 * [taylor]: Taking taylor expansion of x in x 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ -1 1) into -1 5.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.532 * [taylor]: Taking taylor expansion of -1 in x 5.532 * [backup-simplify]: Simplify -1 into -1 5.532 * [taylor]: Taking taylor expansion of x in x 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ -1 1) into -1 5.532 * [backup-simplify]: Simplify (* -1 -1) into 1 5.533 * [backup-simplify]: Simplify (+ 0 1) into 1 5.533 * [backup-simplify]: Simplify (sqrt 1) into 1 5.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.535 * [backup-simplify]: Simplify (+ 0 0) into 0 5.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.535 * [backup-simplify]: Simplify (/ 1 1) into 1 5.535 * [taylor]: Taking taylor expansion of 1/2 in x 5.535 * [backup-simplify]: Simplify 1/2 into 1/2 5.536 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.536 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.536 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.537 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.537 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.538 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 5.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.538 * [taylor]: Taking taylor expansion of 1/2 in x 5.538 * [backup-simplify]: Simplify 1/2 into 1/2 5.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.538 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.538 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.538 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.538 * [taylor]: Taking taylor expansion of 1 in x 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of 1 in x 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.538 * [taylor]: Taking taylor expansion of -1 in x 5.538 * [backup-simplify]: Simplify -1 into -1 5.538 * [taylor]: Taking taylor expansion of x in x 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [backup-simplify]: Simplify (/ -1 1) into -1 5.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.538 * [taylor]: Taking taylor expansion of -1 in x 5.538 * [backup-simplify]: Simplify -1 into -1 5.538 * [taylor]: Taking taylor expansion of x in x 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.539 * [backup-simplify]: Simplify (/ -1 1) into -1 5.539 * [backup-simplify]: Simplify (* -1 -1) into 1 5.539 * [backup-simplify]: Simplify (+ 0 1) into 1 5.539 * [backup-simplify]: Simplify (sqrt 1) into 1 5.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.542 * [backup-simplify]: Simplify (+ 0 0) into 0 5.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.543 * [backup-simplify]: Simplify (/ 1 1) into 1 5.543 * [taylor]: Taking taylor expansion of (+ 1/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 5.543 * [taylor]: Taking taylor expansion of 1/2 in x 5.543 * [backup-simplify]: Simplify 1/2 into 1/2 5.543 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.543 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.543 * [taylor]: Taking taylor expansion of 1/2 in x 5.543 * [backup-simplify]: Simplify 1/2 into 1/2 5.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.543 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.543 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.543 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.543 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.544 * [taylor]: Taking taylor expansion of 1 in x 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [taylor]: Taking taylor expansion of 1 in x 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.544 * [taylor]: Taking taylor expansion of -1 in x 5.544 * [backup-simplify]: Simplify -1 into -1 5.544 * [taylor]: Taking taylor expansion of x in x 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [backup-simplify]: Simplify (/ -1 1) into -1 5.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.544 * [taylor]: Taking taylor expansion of -1 in x 5.544 * [backup-simplify]: Simplify -1 into -1 5.544 * [taylor]: Taking taylor expansion of x in x 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify (/ -1 1) into -1 5.545 * [backup-simplify]: Simplify (* -1 -1) into 1 5.546 * [backup-simplify]: Simplify (+ 0 1) into 1 5.546 * [backup-simplify]: Simplify (sqrt 1) into 1 5.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.549 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.549 * [backup-simplify]: Simplify (+ 0 0) into 0 5.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.550 * [backup-simplify]: Simplify (/ 1 1) into 1 5.550 * [taylor]: Taking taylor expansion of 1/2 in x 5.550 * [backup-simplify]: Simplify 1/2 into 1/2 5.551 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.551 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.551 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.552 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.554 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.555 * [backup-simplify]: Simplify (+ 1/2 (sqrt 1/2)) into (+ (sqrt 1/2) 1/2) 5.556 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 1/2)) into (+ (sqrt 1/2) 1/2) 5.557 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1/2) into (+ (sqrt 1/2) 1/2) 5.557 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.559 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (sqrt 1/2))) into (* 1/4 (/ 1 (sqrt 1/2))) 5.561 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 5.563 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 5.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.567 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.577 * [backup-simplify]: Simplify (+ 0 (/ -1/32 (pow (sqrt 1/2) 3))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.580 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.582 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.587 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (/ 1 (- x))) (+ (sqrt 1/2) 1/2))) into (- (+ (sqrt 1/2) 1/2) (+ (* 1/2 (/ 1 x)) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) 5.587 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 5.587 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 5.587 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 5.587 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.587 * [taylor]: Taking taylor expansion of 1/2 in x 5.587 * [backup-simplify]: Simplify 1/2 into 1/2 5.587 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.587 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.587 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.587 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.587 * [taylor]: Taking taylor expansion of 1 in x 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [taylor]: Taking taylor expansion of 1 in x 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [taylor]: Taking taylor expansion of (* x x) in x 5.587 * [taylor]: Taking taylor expansion of x in x 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [taylor]: Taking taylor expansion of x in x 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (* 1 1) into 1 5.588 * [backup-simplify]: Simplify (* 0 0) into 0 5.588 * [backup-simplify]: Simplify (+ 1 0) into 1 5.588 * [backup-simplify]: Simplify (sqrt 1) into 1 5.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.589 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.590 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 5.590 * [taylor]: Taking taylor expansion of 1/2 in x 5.590 * [backup-simplify]: Simplify 1/2 into 1/2 5.590 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.590 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.590 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.590 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.590 * [taylor]: Taking taylor expansion of 1 in x 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [taylor]: Taking taylor expansion of 1 in x 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [taylor]: Taking taylor expansion of (* x x) in x 5.590 * [taylor]: Taking taylor expansion of x in x 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [taylor]: Taking taylor expansion of x in x 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (* 1 1) into 1 5.591 * [backup-simplify]: Simplify (* 0 0) into 0 5.591 * [backup-simplify]: Simplify (+ 1 0) into 1 5.591 * [backup-simplify]: Simplify (sqrt 1) into 1 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.592 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.592 * [backup-simplify]: Simplify (+ 0 0) into 0 5.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.593 * [backup-simplify]: Simplify 1/2 into 1/2 5.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.595 * [backup-simplify]: Simplify (+ 0 1) into 1 5.595 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.596 * [backup-simplify]: Simplify -1/4 into -1/4 5.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.598 * [backup-simplify]: Simplify (+ 0 0) into 0 5.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.601 * [backup-simplify]: Simplify (+ 0 0) into 0 5.602 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.603 * [backup-simplify]: Simplify 3/16 into 3/16 5.603 * [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))) 5.603 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 5.603 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 5.603 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.603 * [taylor]: Taking taylor expansion of 1/2 in x 5.603 * [backup-simplify]: Simplify 1/2 into 1/2 5.603 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.603 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.603 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.603 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.603 * [taylor]: Taking taylor expansion of 1 in x 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [taylor]: Taking taylor expansion of 1 in x 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.603 * [taylor]: Taking taylor expansion of x in x 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.604 * [taylor]: Taking taylor expansion of x in x 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.604 * [backup-simplify]: Simplify (* 1 1) into 1 5.604 * [backup-simplify]: Simplify (+ 0 1) into 1 5.605 * [backup-simplify]: Simplify (sqrt 1) into 1 5.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.606 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.607 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.607 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 5.607 * [taylor]: Taking taylor expansion of 1/2 in x 5.607 * [backup-simplify]: Simplify 1/2 into 1/2 5.607 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.607 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.607 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.607 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.607 * [taylor]: Taking taylor expansion of 1 in x 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [taylor]: Taking taylor expansion of 1 in x 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.607 * [taylor]: Taking taylor expansion of x in x 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.608 * [taylor]: Taking taylor expansion of x in x 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [backup-simplify]: Simplify (* 1 1) into 1 5.608 * [backup-simplify]: Simplify (+ 0 1) into 1 5.609 * [backup-simplify]: Simplify (sqrt 1) into 1 5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.610 * [backup-simplify]: Simplify (+ 0 0) into 0 5.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.611 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.611 * [backup-simplify]: Simplify 1/2 into 1/2 5.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.614 * [backup-simplify]: Simplify (+ 1 0) into 1 5.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.615 * [backup-simplify]: Simplify -1/4 into -1/4 5.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.623 * [backup-simplify]: Simplify 3/16 into 3/16 5.624 * [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)))) 5.624 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 5.624 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 5.624 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.624 * [taylor]: Taking taylor expansion of 1/2 in x 5.624 * [backup-simplify]: Simplify 1/2 into 1/2 5.624 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.624 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.624 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.624 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.624 * [taylor]: Taking taylor expansion of 1 in x 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of 1 in x 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.624 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.624 * [taylor]: Taking taylor expansion of -1 in x 5.624 * [backup-simplify]: Simplify -1 into -1 5.624 * [taylor]: Taking taylor expansion of x in x 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ -1 1) into -1 5.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.625 * [taylor]: Taking taylor expansion of -1 in x 5.625 * [backup-simplify]: Simplify -1 into -1 5.625 * [taylor]: Taking taylor expansion of x in x 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (/ -1 1) into -1 5.625 * [backup-simplify]: Simplify (* -1 -1) into 1 5.625 * [backup-simplify]: Simplify (+ 0 1) into 1 5.626 * [backup-simplify]: Simplify (sqrt 1) into 1 5.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.628 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 5.628 * [taylor]: Taking taylor expansion of 1/2 in x 5.628 * [backup-simplify]: Simplify 1/2 into 1/2 5.628 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.628 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.628 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.628 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.628 * [taylor]: Taking taylor expansion of 1 in x 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [taylor]: Taking taylor expansion of 1 in x 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.628 * [taylor]: Taking taylor expansion of -1 in x 5.628 * [backup-simplify]: Simplify -1 into -1 5.628 * [taylor]: Taking taylor expansion of x in x 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (/ -1 1) into -1 5.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.629 * [taylor]: Taking taylor expansion of -1 in x 5.629 * [backup-simplify]: Simplify -1 into -1 5.629 * [taylor]: Taking taylor expansion of x in x 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (/ -1 1) into -1 5.629 * [backup-simplify]: Simplify (* -1 -1) into 1 5.630 * [backup-simplify]: Simplify (+ 0 1) into 1 5.630 * [backup-simplify]: Simplify (sqrt 1) into 1 5.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.632 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.632 * [backup-simplify]: Simplify 1/2 into 1/2 5.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify (* 1 1) into 1 5.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.635 * [backup-simplify]: Simplify (+ 1 0) into 1 5.636 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 5.637 * [backup-simplify]: Simplify -1/4 into -1/4 5.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.639 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.639 * [backup-simplify]: Simplify (+ 0 0) into 0 5.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 5.645 * [backup-simplify]: Simplify 3/16 into 3/16 5.646 * [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)))) 5.646 * * * [progress]: simplifying candidates 5.646 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 5.646 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 16 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 23 / 137 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))> 5.647 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 5.647 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 46 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 5.648 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 64 / 137 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))> 5.649 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 76 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 5.649 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 94 / 137 ] simplifiying candidate #real (real->posit16 (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) 1)))> 5.650 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 5.650 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 124 / 137 ] simplifiying candidate # 5.651 * * * * [progress]: [ 125 / 137 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))) 1)))> 5.651 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 5.652 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 5.653 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (fma (sqrt 1) (sqrt 1) (- (* (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (- 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(sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (* (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (+ (/ 1/2 (hypot 1 x)) 1/2)) (real->posit16 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (expm1 (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log1p (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (log (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (exp (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (+ (+ (/ 1/2 (hypot 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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))) (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) (- (+ (* 35/128 (pow x 4)) 2) (* 3/8 (pow x 2))) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1/2))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (+ (sqrt 1/2) 1/2) (+ (* 1/2 (/ 1 x)) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) 5.656 * * [simplify]: iteration 0: 272 enodes 5.770 * * [simplify]: iteration 1: 768 enodes 6.304 * * [simplify]: iteration 2: 2741 enodes 7.374 * * [simplify]: iteration complete: 5008 enodes 7.375 * * [simplify]: Extracting #0: cost 114 inf + 0 7.378 * * [simplify]: Extracting #1: cost 625 inf + 45 7.384 * * [simplify]: Extracting #2: cost 1066 inf + 5814 7.404 * * [simplify]: Extracting #3: cost 818 inf + 64357 7.465 * * [simplify]: Extracting #4: cost 274 inf + 210058 7.566 * * [simplify]: Extracting #5: cost 79 inf + 266518 7.702 * * [simplify]: Extracting #6: cost 31 inf + 280847 7.813 * * [simplify]: Extracting #7: cost 3 inf + 285930 7.925 * * [simplify]: Extracting #8: cost 0 inf + 286809 8.063 * [simplify]: Simplified to: (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (+ 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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (+ 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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (+ 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)))))) (expm1 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log1p (- 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)))))) (* (+ 1/2 (/ 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)))))) (exp (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (log (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (exp (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (cbrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (sqrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (sqrt (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (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 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x)))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (real->posit16 (- 1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (expm1 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) 3/2 3/2 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3/2 3/2 (log (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 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)))) (* (* (+ 1/2 (/ 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))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8) (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8))) (* (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)))) (* (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4))) (- (/ 1/2 (hypot 1 x)) 1/2)) (* (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) (* (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) (* (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (- (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2) (* (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 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)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 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))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 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))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) (real->posit16 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 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)))) (+ 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)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4))) (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8) (* (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)))) (* (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)))) (fma (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8) (* (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)))) (* (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) (fma (sqrt (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (- (/ 1/2 (hypot 1 x)) 1/2) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4))) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (fma -1/2 (/ 1/2 (hypot 1 x)) 1/4))) (- (/ 1/2 (hypot 1 x)) 1/2)) (fma (- (/ 1/2 (hypot 1 x)) 1/2) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4))) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (- (/ 1/2 (hypot 1 x)) 1/2)) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (fma (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (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))))) (+ 1/2 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (fma (* x x) 3/8 (fma 275/1024 (* (* x (* x x)) (* x (* x x))) (* (* (* x x) (* x x)) -39/128))) (+ (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8)) (- 1 (+ (+ (/ (/ 3/16 (sqrt 1/8)) (* x x)) (/ (/ 3/16 (sqrt 1/8)) x)) (sqrt 1/8)))) (+ (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8)) (- (- (+ (/ (/ 3/16 (sqrt 1/8)) x) 1) (sqrt 1/8)) (/ (/ 3/16 (sqrt 1/8)) (* x x)))) (fma -3/8 (* x x) (fma (* x x) (* (* x x) 39/128) 1)) (- (+ (+ (/ (/ 3/16 (sqrt 1/8)) (* x x)) (/ (/ 3/16 (sqrt 1/8)) x)) (sqrt 1/8)) (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8))) (- (+ (/ (/ 3/16 (sqrt 1/8)) (* x x)) (sqrt 1/8)) (+ (/ (/ 3/16 (sqrt 1/8)) x) (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8)))) (fma (* x x) -3/8 (fma (* 35/128 (* x x)) (* x x) 2)) (- (fma (/ 1/2 (sqrt 1/2)) (/ 1/2 x) (+ (+ 1/2 (sqrt 1/2)) (/ 1/2 x))) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))) (- (+ 1/2 (sqrt 1/2)) (+ (fma (/ 1/2 (sqrt 1/2)) (/ 1/2 x) (/ 1/2 x)) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))))) (fma -1/4 (* x x) (fma (* 3/16 (* x x)) (* x x) 1/2)) (+ (+ (/ 3/16 (pow x 5)) (/ 1/2 x)) (/ -1/4 (* x (* x x)))) (- (- (/ (/ 1/4 (* x x)) x) (/ 1/2 x)) (/ 3/16 (pow x 5))) 8.094 * * * [progress]: adding candidates to table 8.936 * * [progress]: iteration 3 / 4 8.936 * * * [progress]: picking best candidate 8.959 * * * * [pick]: Picked # 8.960 * * * [progress]: localizing error 9.023 * * * [progress]: generating rewritten candidates 9.023 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.029 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 9.332 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 9.463 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 9.616 * * * [progress]: generating series expansions 9.617 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.618 * [backup-simplify]: Simplify (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 9.618 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 9.618 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 9.618 * [taylor]: Taking taylor expansion of 1 in x 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 9.618 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 9.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.618 * [taylor]: Taking taylor expansion of 1/2 in x 9.618 * [backup-simplify]: Simplify 1/2 into 1/2 9.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.618 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.618 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.618 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.618 * [taylor]: Taking taylor expansion of 1 in x 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of 1 in x 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of (* x x) in x 9.618 * [taylor]: Taking taylor expansion of x in x 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of x in x 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.619 * [backup-simplify]: Simplify (* 1 1) into 1 9.619 * [backup-simplify]: Simplify (* 0 0) into 0 9.620 * [backup-simplify]: Simplify (+ 1 0) into 1 9.620 * [backup-simplify]: Simplify (sqrt 1) into 1 9.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.621 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.621 * [backup-simplify]: Simplify (+ 0 0) into 0 9.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.622 * [backup-simplify]: Simplify (/ 1 1) into 1 9.622 * [taylor]: Taking taylor expansion of 1/2 in x 9.622 * [backup-simplify]: Simplify 1/2 into 1/2 9.622 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.622 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.623 * [backup-simplify]: Simplify (* 1 1) into 1 9.623 * [backup-simplify]: Simplify (* 1 1) into 1 9.623 * [backup-simplify]: Simplify (sqrt 1) into 1 9.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.624 * [backup-simplify]: Simplify (+ 0 0) into 0 9.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.625 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 9.625 * [taylor]: Taking taylor expansion of 1 in x 9.625 * [backup-simplify]: Simplify 1 into 1 9.625 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 9.625 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 9.625 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.625 * [taylor]: Taking taylor expansion of 1/2 in x 9.625 * [backup-simplify]: Simplify 1/2 into 1/2 9.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.626 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.626 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.626 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.626 * [taylor]: Taking taylor expansion of 1 in x 9.626 * [backup-simplify]: Simplify 1 into 1 9.626 * [taylor]: Taking taylor expansion of 1 in x 9.626 * [backup-simplify]: Simplify 1 into 1 9.626 * [taylor]: Taking taylor expansion of (* x x) in x 9.626 * [taylor]: Taking taylor expansion of x in x 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify 1 into 1 9.626 * [taylor]: Taking taylor expansion of x in x 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify 1 into 1 9.626 * [backup-simplify]: Simplify (* 1 1) into 1 9.626 * [backup-simplify]: Simplify (* 0 0) into 0 9.627 * [backup-simplify]: Simplify (+ 1 0) into 1 9.627 * [backup-simplify]: Simplify (sqrt 1) into 1 9.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.628 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.628 * [backup-simplify]: Simplify (+ 0 0) into 0 9.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.629 * [backup-simplify]: Simplify (/ 1 1) into 1 9.629 * [taylor]: Taking taylor expansion of 1/2 in x 9.629 * [backup-simplify]: Simplify 1/2 into 1/2 9.629 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.629 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.629 * [backup-simplify]: Simplify (* 1 1) into 1 9.630 * [backup-simplify]: Simplify (* 1 1) into 1 9.630 * [backup-simplify]: Simplify (sqrt 1) into 1 9.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.631 * [backup-simplify]: Simplify (+ 0 0) into 0 9.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.632 * [backup-simplify]: Simplify (- 1) into -1 9.633 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.633 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify (- 0) into 0 9.633 * [backup-simplify]: Simplify (+ 0 0) into 0 9.633 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.634 * [backup-simplify]: Simplify (+ 0 1) into 1 9.635 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.636 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.636 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.637 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 9.638 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 9.638 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 9.639 * [backup-simplify]: Simplify (- -3/8) into 3/8 9.639 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 9.639 * [backup-simplify]: Simplify 3/8 into 3/8 9.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.640 * [backup-simplify]: Simplify (+ 0 0) into 0 9.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.643 * [backup-simplify]: Simplify (+ 0 0) into 0 9.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 9.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 9.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 9.645 * [backup-simplify]: Simplify (- 0) into 0 9.646 * [backup-simplify]: Simplify (+ 0 0) into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.647 * [backup-simplify]: Simplify (+ 0 0) into 0 9.648 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.650 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.650 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 9.651 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 9.652 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 9.653 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 9.653 * [backup-simplify]: Simplify (- 39/128) into -39/128 9.654 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 9.654 * [backup-simplify]: Simplify -39/128 into -39/128 9.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.656 * [backup-simplify]: Simplify (+ 0 0) into 0 9.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 9.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 9.659 * [backup-simplify]: Simplify (+ 0 0) into 0 9.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 9.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 9.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 9.663 * [backup-simplify]: Simplify (- 0) into 0 9.663 * [backup-simplify]: Simplify (+ 0 0) into 0 9.663 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.666 * [backup-simplify]: Simplify (+ 0 0) into 0 9.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.668 * [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 9.669 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 9.669 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 9.671 * [backup-simplify]: Simplify (+ (* 1 -5/32) (+ (* 0 0) (+ (* -1/4 3/16) (+ (* 0 0) (+ (* 3/16 -1/4) (+ (* 0 0) (* -5/32 1))))))) into -13/32 9.672 * [backup-simplify]: Simplify (+ (* 1 -13/32) (+ (* 0 0) (+ (* -1/4 7/16) (+ (* 0 0) (+ (* 3/16 -1/2) (+ (* 0 0) (* -5/32 1))))))) into -49/64 9.673 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 9.674 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 9.674 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 9.674 * [backup-simplify]: Simplify 275/1024 into 275/1024 9.674 * [backup-simplify]: Simplify (+ (* 275/1024 (pow x 6)) (+ (* -39/128 (pow x 4)) (* 3/8 (pow x 2)))) into (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) 9.675 * [backup-simplify]: Simplify (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 9.675 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 9.675 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 9.675 * [taylor]: Taking taylor expansion of 1 in x 9.675 * [backup-simplify]: Simplify 1 into 1 9.675 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 9.675 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 9.675 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.675 * [taylor]: Taking taylor expansion of 1/2 in x 9.675 * [backup-simplify]: Simplify 1/2 into 1/2 9.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.675 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.675 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.675 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.675 * [taylor]: Taking taylor expansion of 1 in x 9.675 * [backup-simplify]: Simplify 1 into 1 9.675 * [taylor]: Taking taylor expansion of 1 in x 9.675 * [backup-simplify]: Simplify 1 into 1 9.675 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.675 * [taylor]: Taking taylor expansion of x in x 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify 1 into 1 9.675 * [backup-simplify]: Simplify (/ 1 1) into 1 9.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.676 * [taylor]: Taking taylor expansion of x in x 9.676 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify 1 into 1 9.676 * [backup-simplify]: Simplify (/ 1 1) into 1 9.676 * [backup-simplify]: Simplify (* 1 1) into 1 9.676 * [backup-simplify]: Simplify (+ 0 1) into 1 9.677 * [backup-simplify]: Simplify (sqrt 1) into 1 9.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.678 * [backup-simplify]: Simplify (+ 0 0) into 0 9.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.679 * [backup-simplify]: Simplify (/ 1 1) into 1 9.679 * [taylor]: Taking taylor expansion of 1/2 in x 9.679 * [backup-simplify]: Simplify 1/2 into 1/2 9.679 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.679 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.680 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.680 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.680 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.681 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.681 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.681 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.689 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.689 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 9.689 * [taylor]: Taking taylor expansion of 1 in x 9.689 * [backup-simplify]: Simplify 1 into 1 9.689 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 9.689 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 9.690 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.690 * [taylor]: Taking taylor expansion of 1/2 in x 9.690 * [backup-simplify]: Simplify 1/2 into 1/2 9.690 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.690 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.690 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.690 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.690 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.690 * [taylor]: Taking taylor expansion of 1 in x 9.690 * [backup-simplify]: Simplify 1 into 1 9.690 * [taylor]: Taking taylor expansion of 1 in x 9.690 * [backup-simplify]: Simplify 1 into 1 9.690 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.690 * [taylor]: Taking taylor expansion of x in x 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify 1 into 1 9.690 * [backup-simplify]: Simplify (/ 1 1) into 1 9.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.690 * [taylor]: Taking taylor expansion of x in x 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify 1 into 1 9.691 * [backup-simplify]: Simplify (/ 1 1) into 1 9.691 * [backup-simplify]: Simplify (* 1 1) into 1 9.691 * [backup-simplify]: Simplify (+ 0 1) into 1 9.692 * [backup-simplify]: Simplify (sqrt 1) into 1 9.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.694 * [backup-simplify]: Simplify (+ 0 0) into 0 9.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.694 * [backup-simplify]: Simplify (/ 1 1) into 1 9.694 * [taylor]: Taking taylor expansion of 1/2 in x 9.694 * [backup-simplify]: Simplify 1/2 into 1/2 9.695 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.695 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.695 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.695 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.696 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.696 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.696 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.697 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.698 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.698 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 9.699 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 9.700 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 9.701 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 9.703 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 9.704 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 9.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.705 * [backup-simplify]: Simplify (+ 0 0) into 0 9.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 9.707 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 9.711 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.716 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 9.721 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 9.724 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 9.730 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 x) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 x)) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) 9.730 * [backup-simplify]: Simplify (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 9.730 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 9.730 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 9.730 * [taylor]: Taking taylor expansion of 1 in x 9.730 * [backup-simplify]: Simplify 1 into 1 9.730 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 9.730 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 9.730 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.730 * [taylor]: Taking taylor expansion of 1/2 in x 9.730 * [backup-simplify]: Simplify 1/2 into 1/2 9.730 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.730 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.730 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.730 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.730 * [taylor]: Taking taylor expansion of 1 in x 9.730 * [backup-simplify]: Simplify 1 into 1 9.730 * [taylor]: Taking taylor expansion of 1 in x 9.730 * [backup-simplify]: Simplify 1 into 1 9.730 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.730 * [taylor]: Taking taylor expansion of -1 in x 9.731 * [backup-simplify]: Simplify -1 into -1 9.731 * [taylor]: Taking taylor expansion of x in x 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [backup-simplify]: Simplify (/ -1 1) into -1 9.731 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.731 * [taylor]: Taking taylor expansion of -1 in x 9.731 * [backup-simplify]: Simplify -1 into -1 9.731 * [taylor]: Taking taylor expansion of x in x 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [backup-simplify]: Simplify (/ -1 1) into -1 9.731 * [backup-simplify]: Simplify (* -1 -1) into 1 9.732 * [backup-simplify]: Simplify (+ 0 1) into 1 9.732 * [backup-simplify]: Simplify (sqrt 1) into 1 9.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.735 * [backup-simplify]: Simplify (+ 0 0) into 0 9.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.736 * [backup-simplify]: Simplify (/ 1 1) into 1 9.736 * [taylor]: Taking taylor expansion of 1/2 in x 9.736 * [backup-simplify]: Simplify 1/2 into 1/2 9.737 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.737 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.738 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.738 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.739 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.739 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.739 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.740 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.742 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.742 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 9.742 * [taylor]: Taking taylor expansion of 1 in x 9.742 * [backup-simplify]: Simplify 1 into 1 9.742 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 9.742 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 9.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.742 * [taylor]: Taking taylor expansion of 1/2 in x 9.742 * [backup-simplify]: Simplify 1/2 into 1/2 9.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.742 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.742 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.742 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.742 * [taylor]: Taking taylor expansion of 1 in x 9.742 * [backup-simplify]: Simplify 1 into 1 9.743 * [taylor]: Taking taylor expansion of 1 in x 9.743 * [backup-simplify]: Simplify 1 into 1 9.743 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.743 * [taylor]: Taking taylor expansion of -1 in x 9.743 * [backup-simplify]: Simplify -1 into -1 9.743 * [taylor]: Taking taylor expansion of x in x 9.743 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify 1 into 1 9.743 * [backup-simplify]: Simplify (/ -1 1) into -1 9.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.743 * [taylor]: Taking taylor expansion of -1 in x 9.743 * [backup-simplify]: Simplify -1 into -1 9.743 * [taylor]: Taking taylor expansion of x in x 9.743 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify 1 into 1 9.744 * [backup-simplify]: Simplify (/ -1 1) into -1 9.744 * [backup-simplify]: Simplify (* -1 -1) into 1 9.745 * [backup-simplify]: Simplify (+ 0 1) into 1 9.745 * [backup-simplify]: Simplify (sqrt 1) into 1 9.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.747 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.748 * [backup-simplify]: Simplify (+ 0 0) into 0 9.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.749 * [backup-simplify]: Simplify (/ 1 1) into 1 9.749 * [taylor]: Taking taylor expansion of 1/2 in x 9.749 * [backup-simplify]: Simplify 1/2 into 1/2 9.749 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.750 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.750 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.751 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.751 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.752 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.752 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.752 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.753 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.754 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 9.755 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 9.755 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 9.756 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 9.758 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 9.760 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 9.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.761 * [backup-simplify]: Simplify (+ 0 0) into 0 9.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 9.762 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 9.765 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.770 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 9.775 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 9.778 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 9.791 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 (- x))) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) 9.791 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 9.792 * [backup-simplify]: Simplify (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 9.792 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 9.792 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 9.792 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 9.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.792 * [taylor]: Taking taylor expansion of 1/2 in x 9.792 * [backup-simplify]: Simplify 1/2 into 1/2 9.792 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.792 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.792 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.792 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.792 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.792 * [taylor]: Taking taylor expansion of 1 in x 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of 1 in x 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of (* x x) in x 9.792 * [taylor]: Taking taylor expansion of x in x 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 1 into 1 9.793 * [taylor]: Taking taylor expansion of x in x 9.793 * [backup-simplify]: Simplify 0 into 0 9.793 * [backup-simplify]: Simplify 1 into 1 9.793 * [backup-simplify]: Simplify (* 1 1) into 1 9.793 * [backup-simplify]: Simplify (* 0 0) into 0 9.794 * [backup-simplify]: Simplify (+ 1 0) into 1 9.794 * [backup-simplify]: Simplify (sqrt 1) into 1 9.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.795 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.796 * [backup-simplify]: Simplify (+ 0 0) into 0 9.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.797 * [backup-simplify]: Simplify (/ 1 1) into 1 9.797 * [taylor]: Taking taylor expansion of 1/2 in x 9.797 * [backup-simplify]: Simplify 1/2 into 1/2 9.797 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.798 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.798 * [backup-simplify]: Simplify (* 1 1) into 1 9.798 * [backup-simplify]: Simplify (* 1 1) into 1 9.799 * [backup-simplify]: Simplify (sqrt 1) into 1 9.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.801 * [backup-simplify]: Simplify (+ 0 0) into 0 9.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.803 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 9.803 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 9.803 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.803 * [taylor]: Taking taylor expansion of 1/2 in x 9.803 * [backup-simplify]: Simplify 1/2 into 1/2 9.803 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.803 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.803 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.803 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.803 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.803 * [taylor]: Taking taylor expansion of 1 in x 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [taylor]: Taking taylor expansion of 1 in x 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [taylor]: Taking taylor expansion of (* x x) in x 9.803 * [taylor]: Taking taylor expansion of x in x 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [taylor]: Taking taylor expansion of x in x 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.804 * [backup-simplify]: Simplify (* 1 1) into 1 9.804 * [backup-simplify]: Simplify (* 0 0) into 0 9.805 * [backup-simplify]: Simplify (+ 1 0) into 1 9.805 * [backup-simplify]: Simplify (sqrt 1) into 1 9.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.806 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.807 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.808 * [backup-simplify]: Simplify (/ 1 1) into 1 9.808 * [taylor]: Taking taylor expansion of 1/2 in x 9.808 * [backup-simplify]: Simplify 1/2 into 1/2 9.808 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.808 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.808 * [backup-simplify]: Simplify (* 1 1) into 1 9.809 * [backup-simplify]: Simplify (* 1 1) into 1 9.809 * [backup-simplify]: Simplify (sqrt 1) into 1 9.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.810 * [backup-simplify]: Simplify (+ 0 0) into 0 9.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.811 * [backup-simplify]: Simplify 1 into 1 9.811 * [backup-simplify]: Simplify 0 into 0 9.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.813 * [backup-simplify]: Simplify (+ 0 1) into 1 9.813 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.814 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.815 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.815 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 9.816 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 9.817 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 9.817 * [backup-simplify]: Simplify -3/8 into -3/8 9.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.818 * [backup-simplify]: Simplify (+ 0 0) into 0 9.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.821 * [backup-simplify]: Simplify (+ 0 0) into 0 9.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 9.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 9.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 9.823 * [backup-simplify]: Simplify 0 into 0 9.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.825 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.827 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.828 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 9.828 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 9.829 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 9.830 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 9.830 * [backup-simplify]: Simplify 39/128 into 39/128 9.831 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 9.831 * [backup-simplify]: Simplify (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 9.831 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 9.831 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 9.831 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 9.831 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.831 * [taylor]: Taking taylor expansion of 1/2 in x 9.831 * [backup-simplify]: Simplify 1/2 into 1/2 9.831 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.831 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.831 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.831 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.831 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.831 * [taylor]: Taking taylor expansion of 1 in x 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [taylor]: Taking taylor expansion of 1 in x 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.831 * [taylor]: Taking taylor expansion of x in x 9.831 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify 1 into 1 9.832 * [backup-simplify]: Simplify (/ 1 1) into 1 9.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.832 * [taylor]: Taking taylor expansion of x in x 9.832 * [backup-simplify]: Simplify 0 into 0 9.832 * [backup-simplify]: Simplify 1 into 1 9.832 * [backup-simplify]: Simplify (/ 1 1) into 1 9.832 * [backup-simplify]: Simplify (* 1 1) into 1 9.832 * [backup-simplify]: Simplify (+ 0 1) into 1 9.833 * [backup-simplify]: Simplify (sqrt 1) into 1 9.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.834 * [backup-simplify]: Simplify (+ 0 0) into 0 9.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.835 * [backup-simplify]: Simplify (/ 1 1) into 1 9.835 * [taylor]: Taking taylor expansion of 1/2 in x 9.835 * [backup-simplify]: Simplify 1/2 into 1/2 9.835 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.835 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.836 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.836 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.836 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.836 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.837 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.837 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.838 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.838 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 9.838 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 9.838 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.838 * [taylor]: Taking taylor expansion of 1/2 in x 9.838 * [backup-simplify]: Simplify 1/2 into 1/2 9.838 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.838 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.838 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.838 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.838 * [taylor]: Taking taylor expansion of 1 in x 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [taylor]: Taking taylor expansion of 1 in x 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.838 * [taylor]: Taking taylor expansion of x in x 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify 1 into 1 9.839 * [backup-simplify]: Simplify (/ 1 1) into 1 9.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.839 * [taylor]: Taking taylor expansion of x in x 9.839 * [backup-simplify]: Simplify 0 into 0 9.839 * [backup-simplify]: Simplify 1 into 1 9.839 * [backup-simplify]: Simplify (/ 1 1) into 1 9.839 * [backup-simplify]: Simplify (* 1 1) into 1 9.840 * [backup-simplify]: Simplify (+ 0 1) into 1 9.840 * [backup-simplify]: Simplify (sqrt 1) into 1 9.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.843 * [backup-simplify]: Simplify (+ 0 0) into 0 9.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.844 * [backup-simplify]: Simplify (/ 1 1) into 1 9.844 * [taylor]: Taking taylor expansion of 1/2 in x 9.844 * [backup-simplify]: Simplify 1/2 into 1/2 9.844 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.845 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.845 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.846 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.846 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.847 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.847 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.848 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.849 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.850 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.851 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 9.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.853 * [backup-simplify]: Simplify (+ 0 0) into 0 9.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 9.855 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 9.862 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.870 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.879 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 9.880 * [backup-simplify]: Simplify (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 9.880 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 9.880 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 9.880 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 9.880 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.880 * [taylor]: Taking taylor expansion of 1/2 in x 9.880 * [backup-simplify]: Simplify 1/2 into 1/2 9.880 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.880 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.880 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.880 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.881 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.881 * [taylor]: Taking taylor expansion of 1 in x 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [taylor]: Taking taylor expansion of 1 in x 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.881 * [taylor]: Taking taylor expansion of -1 in x 9.881 * [backup-simplify]: Simplify -1 into -1 9.881 * [taylor]: Taking taylor expansion of x in x 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [backup-simplify]: Simplify (/ -1 1) into -1 9.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.881 * [taylor]: Taking taylor expansion of -1 in x 9.881 * [backup-simplify]: Simplify -1 into -1 9.881 * [taylor]: Taking taylor expansion of x in x 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.882 * [backup-simplify]: Simplify (/ -1 1) into -1 9.882 * [backup-simplify]: Simplify (* -1 -1) into 1 9.883 * [backup-simplify]: Simplify (+ 0 1) into 1 9.883 * [backup-simplify]: Simplify (sqrt 1) into 1 9.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.886 * [backup-simplify]: Simplify (+ 0 0) into 0 9.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.887 * [backup-simplify]: Simplify (/ 1 1) into 1 9.887 * [taylor]: Taking taylor expansion of 1/2 in x 9.887 * [backup-simplify]: Simplify 1/2 into 1/2 9.887 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.888 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.888 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.889 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.889 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.890 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.890 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.891 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.892 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.892 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 9.892 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 9.892 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.892 * [taylor]: Taking taylor expansion of 1/2 in x 9.892 * [backup-simplify]: Simplify 1/2 into 1/2 9.892 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.892 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.892 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.892 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.892 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.892 * [taylor]: Taking taylor expansion of 1 in x 9.892 * [backup-simplify]: Simplify 1 into 1 9.892 * [taylor]: Taking taylor expansion of 1 in x 9.892 * [backup-simplify]: Simplify 1 into 1 9.892 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.892 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.892 * [taylor]: Taking taylor expansion of -1 in x 9.892 * [backup-simplify]: Simplify -1 into -1 9.892 * [taylor]: Taking taylor expansion of x in x 9.892 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify 1 into 1 9.893 * [backup-simplify]: Simplify (/ -1 1) into -1 9.893 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.893 * [taylor]: Taking taylor expansion of -1 in x 9.893 * [backup-simplify]: Simplify -1 into -1 9.893 * [taylor]: Taking taylor expansion of x in x 9.893 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify 1 into 1 9.893 * [backup-simplify]: Simplify (/ -1 1) into -1 9.893 * [backup-simplify]: Simplify (* -1 -1) into 1 9.894 * [backup-simplify]: Simplify (+ 0 1) into 1 9.894 * [backup-simplify]: Simplify (sqrt 1) into 1 9.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.895 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.895 * [backup-simplify]: Simplify (+ 0 0) into 0 9.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.896 * [backup-simplify]: Simplify (/ 1 1) into 1 9.896 * [taylor]: Taking taylor expansion of 1/2 in x 9.896 * [backup-simplify]: Simplify 1/2 into 1/2 9.896 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.897 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.897 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.897 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.897 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.898 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.898 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.898 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.904 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.904 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.905 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 9.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.906 * [backup-simplify]: Simplify (+ 0 0) into 0 9.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 9.907 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 9.910 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.914 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.919 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 9.919 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 9.920 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 9.920 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 9.920 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 9.920 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 9.920 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.920 * [taylor]: Taking taylor expansion of 1/2 in x 9.920 * [backup-simplify]: Simplify 1/2 into 1/2 9.920 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.920 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.920 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.920 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.920 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.920 * [taylor]: Taking taylor expansion of 1 in x 9.920 * [backup-simplify]: Simplify 1 into 1 9.920 * [taylor]: Taking taylor expansion of 1 in x 9.920 * [backup-simplify]: Simplify 1 into 1 9.920 * [taylor]: Taking taylor expansion of (* x x) in x 9.920 * [taylor]: Taking taylor expansion of x in x 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 1 into 1 9.920 * [taylor]: Taking taylor expansion of x in x 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 1 into 1 9.920 * [backup-simplify]: Simplify (* 1 1) into 1 9.921 * [backup-simplify]: Simplify (* 0 0) into 0 9.921 * [backup-simplify]: Simplify (+ 1 0) into 1 9.921 * [backup-simplify]: Simplify (sqrt 1) into 1 9.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.922 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.922 * [backup-simplify]: Simplify (+ 0 0) into 0 9.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.923 * [backup-simplify]: Simplify (/ 1 1) into 1 9.923 * [taylor]: Taking taylor expansion of 1/2 in x 9.923 * [backup-simplify]: Simplify 1/2 into 1/2 9.923 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.923 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.924 * [backup-simplify]: Simplify (* 1 1) into 1 9.924 * [backup-simplify]: Simplify (* 1 1) into 1 9.924 * [backup-simplify]: Simplify (sqrt 1) into 1 9.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.926 * [backup-simplify]: Simplify (+ 0 0) into 0 9.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.929 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 9.929 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 9.929 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 9.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 9.929 * [taylor]: Taking taylor expansion of 1/2 in x 9.929 * [backup-simplify]: Simplify 1/2 into 1/2 9.929 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 9.929 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 9.929 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 9.929 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 9.929 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.929 * [taylor]: Taking taylor expansion of 1 in x 9.929 * [backup-simplify]: Simplify 1 into 1 9.929 * [taylor]: Taking taylor expansion of 1 in x 9.929 * [backup-simplify]: Simplify 1 into 1 9.929 * [taylor]: Taking taylor expansion of (* x x) in x 9.929 * [taylor]: Taking taylor expansion of x in x 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 1 into 1 9.929 * [taylor]: Taking taylor expansion of x in x 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 1 into 1 9.930 * [backup-simplify]: Simplify (* 1 1) into 1 9.930 * [backup-simplify]: Simplify (* 0 0) into 0 9.931 * [backup-simplify]: Simplify (+ 1 0) into 1 9.931 * [backup-simplify]: Simplify (sqrt 1) into 1 9.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.932 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.933 * [backup-simplify]: Simplify (+ 0 0) into 0 9.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.934 * [backup-simplify]: Simplify (/ 1 1) into 1 9.934 * [taylor]: Taking taylor expansion of 1/2 in x 9.934 * [backup-simplify]: Simplify 1/2 into 1/2 9.934 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.935 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 9.935 * [backup-simplify]: Simplify (* 1 1) into 1 9.935 * [backup-simplify]: Simplify (* 1 1) into 1 9.936 * [backup-simplify]: Simplify (sqrt 1) into 1 9.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.937 * [backup-simplify]: Simplify (+ 0 0) into 0 9.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.940 * [backup-simplify]: Simplify 1 into 1 9.940 * [backup-simplify]: Simplify 0 into 0 9.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.942 * [backup-simplify]: Simplify (+ 0 1) into 1 9.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 9.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 9.946 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 9.946 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 9.947 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 9.948 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 9.949 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 9.949 * [backup-simplify]: Simplify -3/8 into -3/8 9.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.952 * [backup-simplify]: Simplify (+ 0 0) into 0 9.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 9.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 9.954 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 9.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 9.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 9.957 * [backup-simplify]: Simplify 0 into 0 9.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.958 * [backup-simplify]: Simplify (+ 0 0) into 0 9.959 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 9.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 9.961 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 9.961 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 9.962 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 9.963 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 9.964 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 9.964 * [backup-simplify]: Simplify 39/128 into 39/128 9.964 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 9.965 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 9.965 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 9.965 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 9.965 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 9.965 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.965 * [taylor]: Taking taylor expansion of 1/2 in x 9.965 * [backup-simplify]: Simplify 1/2 into 1/2 9.965 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.965 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.965 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.965 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.965 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.965 * [taylor]: Taking taylor expansion of 1 in x 9.965 * [backup-simplify]: Simplify 1 into 1 9.965 * [taylor]: Taking taylor expansion of 1 in x 9.965 * [backup-simplify]: Simplify 1 into 1 9.965 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.965 * [taylor]: Taking taylor expansion of x in x 9.965 * [backup-simplify]: Simplify 0 into 0 9.965 * [backup-simplify]: Simplify 1 into 1 9.965 * [backup-simplify]: Simplify (/ 1 1) into 1 9.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.965 * [taylor]: Taking taylor expansion of x in x 9.965 * [backup-simplify]: Simplify 0 into 0 9.965 * [backup-simplify]: Simplify 1 into 1 9.966 * [backup-simplify]: Simplify (/ 1 1) into 1 9.966 * [backup-simplify]: Simplify (* 1 1) into 1 9.966 * [backup-simplify]: Simplify (+ 0 1) into 1 9.966 * [backup-simplify]: Simplify (sqrt 1) into 1 9.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.968 * [backup-simplify]: Simplify (+ 0 0) into 0 9.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.969 * [backup-simplify]: Simplify (/ 1 1) into 1 9.969 * [taylor]: Taking taylor expansion of 1/2 in x 9.969 * [backup-simplify]: Simplify 1/2 into 1/2 9.969 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.969 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.969 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.970 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.970 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.970 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.971 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.971 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.972 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.972 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 9.972 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 9.972 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 9.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 9.972 * [taylor]: Taking taylor expansion of 1/2 in x 9.972 * [backup-simplify]: Simplify 1/2 into 1/2 9.972 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 9.972 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 9.973 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 9.973 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 9.973 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.973 * [taylor]: Taking taylor expansion of 1 in x 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [taylor]: Taking taylor expansion of 1 in x 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 9.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.973 * [taylor]: Taking taylor expansion of x in x 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (/ 1 1) into 1 9.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.973 * [taylor]: Taking taylor expansion of x in x 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 1 into 1 9.973 * [backup-simplify]: Simplify (/ 1 1) into 1 9.974 * [backup-simplify]: Simplify (* 1 1) into 1 9.974 * [backup-simplify]: Simplify (+ 0 1) into 1 9.974 * [backup-simplify]: Simplify (sqrt 1) into 1 9.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.976 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.976 * [backup-simplify]: Simplify (/ 1 1) into 1 9.976 * [taylor]: Taking taylor expansion of 1/2 in x 9.976 * [backup-simplify]: Simplify 1/2 into 1/2 9.977 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.977 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.977 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 9.978 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.978 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.978 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.978 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 9.979 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 9.980 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 9.980 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 9.981 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 9.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.982 * [backup-simplify]: Simplify (+ 0 0) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 9.983 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 9.987 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.991 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 9.996 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 9.997 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 9.997 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 9.997 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 9.997 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 9.997 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 9.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 9.997 * [taylor]: Taking taylor expansion of 1/2 in x 9.997 * [backup-simplify]: Simplify 1/2 into 1/2 9.997 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 9.997 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 9.997 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 9.997 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 9.997 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.997 * [taylor]: Taking taylor expansion of 1 in x 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [taylor]: Taking taylor expansion of 1 in x 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 9.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.997 * [taylor]: Taking taylor expansion of -1 in x 9.997 * [backup-simplify]: Simplify -1 into -1 9.997 * [taylor]: Taking taylor expansion of x in x 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [backup-simplify]: Simplify (/ -1 1) into -1 9.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.998 * [taylor]: Taking taylor expansion of -1 in x 9.998 * [backup-simplify]: Simplify -1 into -1 9.998 * [taylor]: Taking taylor expansion of x in x 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 1 into 1 9.998 * [backup-simplify]: Simplify (/ -1 1) into -1 9.998 * [backup-simplify]: Simplify (* -1 -1) into 1 9.999 * [backup-simplify]: Simplify (+ 0 1) into 1 10.003 * [backup-simplify]: Simplify (sqrt 1) into 1 10.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.007 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.007 * [backup-simplify]: Simplify (+ 0 0) into 0 10.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.008 * [backup-simplify]: Simplify (/ 1 1) into 1 10.008 * [taylor]: Taking taylor expansion of 1/2 in x 10.008 * [backup-simplify]: Simplify 1/2 into 1/2 10.008 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.009 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.009 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.009 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.010 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.010 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.010 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.011 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.012 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.012 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 10.012 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 10.012 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.012 * [taylor]: Taking taylor expansion of 1/2 in x 10.012 * [backup-simplify]: Simplify 1/2 into 1/2 10.012 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.012 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.012 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.012 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.012 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.012 * [taylor]: Taking taylor expansion of 1 in x 10.012 * [backup-simplify]: Simplify 1 into 1 10.012 * [taylor]: Taking taylor expansion of 1 in x 10.012 * [backup-simplify]: Simplify 1 into 1 10.012 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.012 * [taylor]: Taking taylor expansion of -1 in x 10.012 * [backup-simplify]: Simplify -1 into -1 10.012 * [taylor]: Taking taylor expansion of x in x 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (/ -1 1) into -1 10.013 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.013 * [taylor]: Taking taylor expansion of -1 in x 10.013 * [backup-simplify]: Simplify -1 into -1 10.013 * [taylor]: Taking taylor expansion of x in x 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (/ -1 1) into -1 10.013 * [backup-simplify]: Simplify (* -1 -1) into 1 10.013 * [backup-simplify]: Simplify (+ 0 1) into 1 10.014 * [backup-simplify]: Simplify (sqrt 1) into 1 10.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.015 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.015 * [backup-simplify]: Simplify (+ 0 0) into 0 10.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.016 * [backup-simplify]: Simplify (/ 1 1) into 1 10.016 * [taylor]: Taking taylor expansion of 1/2 in x 10.016 * [backup-simplify]: Simplify 1/2 into 1/2 10.016 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.017 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.017 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.017 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.017 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.018 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.018 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.018 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.019 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.020 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.020 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 10.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.021 * [backup-simplify]: Simplify (+ 0 0) into 0 10.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 10.022 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 10.026 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 10.031 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 10.041 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 10.041 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 10.041 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 10.041 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 10.041 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 10.041 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 10.041 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.041 * [taylor]: Taking taylor expansion of 1/2 in x 10.041 * [backup-simplify]: Simplify 1/2 into 1/2 10.041 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.041 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.042 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.042 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.042 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.042 * [taylor]: Taking taylor expansion of 1 in x 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of 1 in x 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of (* x x) in x 10.042 * [taylor]: Taking taylor expansion of x in x 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of x in x 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (* 1 1) into 1 10.043 * [backup-simplify]: Simplify (* 0 0) into 0 10.043 * [backup-simplify]: Simplify (+ 1 0) into 1 10.043 * [backup-simplify]: Simplify (sqrt 1) into 1 10.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.045 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.045 * [backup-simplify]: Simplify (/ 1 1) into 1 10.045 * [taylor]: Taking taylor expansion of 1/2 in x 10.045 * [backup-simplify]: Simplify 1/2 into 1/2 10.046 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.046 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.046 * [backup-simplify]: Simplify (* 1 1) into 1 10.046 * [backup-simplify]: Simplify (* 1 1) into 1 10.046 * [backup-simplify]: Simplify (sqrt 1) into 1 10.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.048 * [backup-simplify]: Simplify (+ 0 0) into 0 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.049 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 10.049 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 10.049 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.049 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.049 * [taylor]: Taking taylor expansion of 1/2 in x 10.049 * [backup-simplify]: Simplify 1/2 into 1/2 10.049 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.049 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.049 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.049 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.049 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.049 * [taylor]: Taking taylor expansion of 1 in x 10.049 * [backup-simplify]: Simplify 1 into 1 10.049 * [taylor]: Taking taylor expansion of 1 in x 10.049 * [backup-simplify]: Simplify 1 into 1 10.049 * [taylor]: Taking taylor expansion of (* x x) in x 10.049 * [taylor]: Taking taylor expansion of x in x 10.049 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify 1 into 1 10.049 * [taylor]: Taking taylor expansion of x in x 10.049 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify 1 into 1 10.049 * [backup-simplify]: Simplify (* 1 1) into 1 10.050 * [backup-simplify]: Simplify (* 0 0) into 0 10.050 * [backup-simplify]: Simplify (+ 1 0) into 1 10.050 * [backup-simplify]: Simplify (sqrt 1) into 1 10.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.051 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.051 * [backup-simplify]: Simplify (+ 0 0) into 0 10.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.052 * [backup-simplify]: Simplify (/ 1 1) into 1 10.052 * [taylor]: Taking taylor expansion of 1/2 in x 10.052 * [backup-simplify]: Simplify 1/2 into 1/2 10.052 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.052 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.053 * [backup-simplify]: Simplify (* 1 1) into 1 10.053 * [backup-simplify]: Simplify (* 1 1) into 1 10.053 * [backup-simplify]: Simplify (sqrt 1) into 1 10.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.054 * [backup-simplify]: Simplify (+ 0 0) into 0 10.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.055 * [backup-simplify]: Simplify 1 into 1 10.055 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.057 * [backup-simplify]: Simplify (+ 0 1) into 1 10.057 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.059 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.059 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.059 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 10.060 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 10.061 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 10.061 * [backup-simplify]: Simplify -3/8 into -3/8 10.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.062 * [backup-simplify]: Simplify (+ 0 0) into 0 10.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.065 * [backup-simplify]: Simplify (+ 0 0) into 0 10.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 10.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 10.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.069 * [backup-simplify]: Simplify (+ 0 0) into 0 10.070 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.072 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.072 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.074 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 10.076 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 10.077 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 10.078 * [backup-simplify]: Simplify 39/128 into 39/128 10.078 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 10.078 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 10.078 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 10.078 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 10.078 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 10.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.079 * [taylor]: Taking taylor expansion of 1/2 in x 10.079 * [backup-simplify]: Simplify 1/2 into 1/2 10.079 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.079 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.079 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.079 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.079 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.079 * [taylor]: Taking taylor expansion of 1 in x 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [taylor]: Taking taylor expansion of 1 in x 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.079 * [taylor]: Taking taylor expansion of x in x 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [backup-simplify]: Simplify (/ 1 1) into 1 10.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.079 * [taylor]: Taking taylor expansion of x in x 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [backup-simplify]: Simplify (/ 1 1) into 1 10.080 * [backup-simplify]: Simplify (* 1 1) into 1 10.081 * [backup-simplify]: Simplify (+ 0 1) into 1 10.081 * [backup-simplify]: Simplify (sqrt 1) into 1 10.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.084 * [backup-simplify]: Simplify (+ 0 0) into 0 10.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.085 * [backup-simplify]: Simplify (/ 1 1) into 1 10.085 * [taylor]: Taking taylor expansion of 1/2 in x 10.085 * [backup-simplify]: Simplify 1/2 into 1/2 10.085 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.086 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.086 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.087 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.087 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.087 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.088 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.088 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.089 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.089 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 10.089 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 10.089 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.089 * [taylor]: Taking taylor expansion of 1/2 in x 10.089 * [backup-simplify]: Simplify 1/2 into 1/2 10.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.089 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.089 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.089 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.089 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.089 * [taylor]: Taking taylor expansion of 1 in x 10.089 * [backup-simplify]: Simplify 1 into 1 10.089 * [taylor]: Taking taylor expansion of 1 in x 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.090 * [taylor]: Taking taylor expansion of x in x 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [backup-simplify]: Simplify (/ 1 1) into 1 10.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.090 * [taylor]: Taking taylor expansion of x in x 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.090 * [backup-simplify]: Simplify (/ 1 1) into 1 10.090 * [backup-simplify]: Simplify (* 1 1) into 1 10.091 * [backup-simplify]: Simplify (+ 0 1) into 1 10.091 * [backup-simplify]: Simplify (sqrt 1) into 1 10.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.092 * [backup-simplify]: Simplify (+ 0 0) into 0 10.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.093 * [backup-simplify]: Simplify (/ 1 1) into 1 10.093 * [taylor]: Taking taylor expansion of 1/2 in x 10.093 * [backup-simplify]: Simplify 1/2 into 1/2 10.093 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.094 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.094 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.094 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.094 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.095 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.095 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.095 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.096 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.097 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.097 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 10.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.098 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 10.100 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 10.108 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 10.115 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 10.124 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 10.124 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 10.124 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 10.124 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 10.124 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 10.124 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.124 * [taylor]: Taking taylor expansion of 1/2 in x 10.124 * [backup-simplify]: Simplify 1/2 into 1/2 10.124 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.124 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.125 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.125 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.125 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.125 * [taylor]: Taking taylor expansion of 1 in x 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [taylor]: Taking taylor expansion of 1 in x 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.125 * [taylor]: Taking taylor expansion of -1 in x 10.125 * [backup-simplify]: Simplify -1 into -1 10.125 * [taylor]: Taking taylor expansion of x in x 10.125 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [backup-simplify]: Simplify (/ -1 1) into -1 10.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.126 * [taylor]: Taking taylor expansion of -1 in x 10.126 * [backup-simplify]: Simplify -1 into -1 10.126 * [taylor]: Taking taylor expansion of x in x 10.126 * [backup-simplify]: Simplify 0 into 0 10.126 * [backup-simplify]: Simplify 1 into 1 10.126 * [backup-simplify]: Simplify (/ -1 1) into -1 10.127 * [backup-simplify]: Simplify (* -1 -1) into 1 10.127 * [backup-simplify]: Simplify (+ 0 1) into 1 10.127 * [backup-simplify]: Simplify (sqrt 1) into 1 10.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.130 * [backup-simplify]: Simplify (+ 0 0) into 0 10.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.131 * [backup-simplify]: Simplify (/ 1 1) into 1 10.131 * [taylor]: Taking taylor expansion of 1/2 in x 10.131 * [backup-simplify]: Simplify 1/2 into 1/2 10.132 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.132 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.133 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.133 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.133 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.134 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.134 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.135 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.136 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.136 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 10.137 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 10.137 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.137 * [taylor]: Taking taylor expansion of 1/2 in x 10.137 * [backup-simplify]: Simplify 1/2 into 1/2 10.137 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.137 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.137 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.137 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.137 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.137 * [taylor]: Taking taylor expansion of 1 in x 10.137 * [backup-simplify]: Simplify 1 into 1 10.137 * [taylor]: Taking taylor expansion of 1 in x 10.137 * [backup-simplify]: Simplify 1 into 1 10.137 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.137 * [taylor]: Taking taylor expansion of -1 in x 10.137 * [backup-simplify]: Simplify -1 into -1 10.137 * [taylor]: Taking taylor expansion of x in x 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 1 into 1 10.138 * [backup-simplify]: Simplify (/ -1 1) into -1 10.138 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.138 * [taylor]: Taking taylor expansion of -1 in x 10.138 * [backup-simplify]: Simplify -1 into -1 10.138 * [taylor]: Taking taylor expansion of x in x 10.138 * [backup-simplify]: Simplify 0 into 0 10.138 * [backup-simplify]: Simplify 1 into 1 10.138 * [backup-simplify]: Simplify (/ -1 1) into -1 10.138 * [backup-simplify]: Simplify (* -1 -1) into 1 10.139 * [backup-simplify]: Simplify (+ 0 1) into 1 10.139 * [backup-simplify]: Simplify (sqrt 1) into 1 10.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.142 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.142 * [backup-simplify]: Simplify (+ 0 0) into 0 10.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.143 * [backup-simplify]: Simplify (/ 1 1) into 1 10.143 * [taylor]: Taking taylor expansion of 1/2 in x 10.143 * [backup-simplify]: Simplify 1/2 into 1/2 10.144 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.144 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.144 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.145 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.146 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.146 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.147 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.150 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.151 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.152 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 10.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.154 * [backup-simplify]: Simplify (+ 0 0) into 0 10.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 10.156 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 10.160 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 10.167 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 10.176 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 10.176 * * * [progress]: simplifying candidates 10.176 * * * * [progress]: [ 1 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 2 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 3 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 4 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 5 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 6 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 7 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 8 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 9 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 10 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 11 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 12 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 13 / 286 ] simplifiying candidate # 10.176 * * * * [progress]: [ 14 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 15 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 16 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 17 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 18 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 19 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 20 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 21 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 22 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 23 / 286 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))> 10.177 * * * * [progress]: [ 24 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 25 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 26 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 27 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 28 / 286 ] simplifiying candidate # 10.177 * * * * [progress]: [ 29 / 286 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simplifiying candidate # 10.190 * * * * [progress]: [ 277 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 278 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 279 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 280 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 281 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 282 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 283 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 284 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 285 / 286 ] simplifiying candidate # 10.191 * * * * [progress]: [ 286 / 286 ] simplifiying candidate # 10.195 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma 1 1 (- (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (expm1 (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (log1p (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (exp 1) (exp (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (log (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (exp (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (cbrt (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (cbrt (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (* (* (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (sqrt (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (- (pow 1 3) (pow (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) 3)) (+ (* 1 1) (+ (* (* (sqrt (* 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1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 3/2 3/2 (log (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (* (+ 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))))) (* (+ 1/2 (/ 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)))))) (+ 1/2 (/ 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))))) (* (+ 1/2 (/ 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)))))) (sqrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) (+ (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) (* (sqrt (+ (- 1/4 (/ 1/4 (hypot 1 x))) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (+ (- 1/4 (/ 1/4 (hypot 1 x))) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 1/8)) (+ (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) -1/4)) (* (sqrt (+ (- 1/4 (/ 1/4 (hypot 1 x))) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (- (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (fma (/ 1/2 (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 1/8)) (* (+ (- 1/4 (/ 1/4 (hypot 1 x))) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (* (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (- (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (/ 1/2 (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 1/2 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (/ 1/2 (hypot 1 x)) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* 1/2 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 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))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (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 (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) 1/8)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (+ 1/2 (/ 1/2 (hypot 1 x)))) (real->posit16 (* (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (fma (* (* (* x x) (* x x)) (* x x)) 275/1024 (fma 3/8 (* x x) (* -39/128 (* (* x x) (* x x))))) (+ (- (- (- 1 (/ 3/16 (* (sqrt 1/8) (* x x)))) (/ 3/16 (* (sqrt 1/8) x))) (sqrt 1/8)) (/ 9/512 (* (* 1/8 (sqrt 1/8)) (* x x)))) (- (+ (/ 3/16 (* (sqrt 1/8) x)) (- 1 (sqrt 1/8))) (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (/ -9/512 (* (* 1/8 (sqrt 1/8)) (* x x))))) (fma (* x x) -3/8 (fma (* (* x x) (* x x)) 39/128 1)) (+ (/ 3/16 (* (sqrt 1/8) x)) (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (- (sqrt 1/8) (/ 9/512 (* (* 1/8 (sqrt 1/8)) (* x x)))))) (- (sqrt 1/8) (- (+ (/ 9/512 (* (* 1/8 (sqrt 1/8)) (* x x))) (/ 3/16 (* (sqrt 1/8) x))) (/ 3/16 (* (sqrt 1/8) (* x x))))) (fma (* x x) -3/8 (fma (* (* x x) (* x x)) 39/128 1)) (+ (/ 3/16 (* (sqrt 1/8) x)) (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (- (sqrt 1/8) (/ 9/512 (* (* 1/8 (sqrt 1/8)) (* x x)))))) (- (sqrt 1/8) (- (+ (/ 9/512 (* (* 1/8 (sqrt 1/8)) (* x x))) (/ 3/16 (* (sqrt 1/8) x))) (/ 3/16 (* (sqrt 1/8) (* x x))))) (fma (* x x) -3/8 (fma (* (* x x) (* x x)) 39/128 1)) (+ (/ 3/16 (* (sqrt 1/8) x)) (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (- (sqrt 1/8) (/ 9/512 (* (* 1/8 (sqrt 1/8)) (* x x)))))) (- (sqrt 1/8) (- (+ (/ 9/512 (* (* 1/8 (sqrt 1/8)) (* x x))) (/ 3/16 (* (sqrt 1/8) x))) (/ 3/16 (* (sqrt 1/8) (* x x))))) 12.570 * * * [progress]: adding candidates to table 14.574 * * [progress]: iteration 4 / 4 14.574 * * * [progress]: picking best candidate 14.618 * * * * [pick]: Picked # 14.618 * * * [progress]: localizing error 14.685 * * * [progress]: generating rewritten candidates 14.685 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 14.696 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 14.996 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 15.033 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 15.165 * * * [progress]: generating series expansions 15.166 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 15.167 * [backup-simplify]: Simplify (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 15.167 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 15.167 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 15.167 * [taylor]: Taking taylor expansion of 1 in x 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 15.167 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 15.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.167 * [taylor]: Taking taylor expansion of 1/2 in x 15.167 * [backup-simplify]: Simplify 1/2 into 1/2 15.167 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.167 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.167 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.167 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.167 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.167 * [taylor]: Taking taylor expansion of 1 in x 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [taylor]: Taking taylor expansion of 1 in x 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [taylor]: Taking taylor expansion of (* x x) in x 15.167 * [taylor]: Taking taylor expansion of x in x 15.167 * [backup-simplify]: Simplify 0 into 0 15.168 * [backup-simplify]: Simplify 1 into 1 15.168 * [taylor]: Taking taylor expansion of x in x 15.168 * [backup-simplify]: Simplify 0 into 0 15.168 * [backup-simplify]: Simplify 1 into 1 15.168 * [backup-simplify]: Simplify (* 1 1) into 1 15.169 * [backup-simplify]: Simplify (* 0 0) into 0 15.169 * [backup-simplify]: Simplify (+ 1 0) into 1 15.170 * [backup-simplify]: Simplify (sqrt 1) into 1 15.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.171 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.172 * [backup-simplify]: Simplify (+ 0 0) into 0 15.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.173 * [backup-simplify]: Simplify (/ 1 1) into 1 15.173 * [taylor]: Taking taylor expansion of 1/2 in x 15.173 * [backup-simplify]: Simplify 1/2 into 1/2 15.173 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.174 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.174 * [backup-simplify]: Simplify (* 1 1) into 1 15.174 * [backup-simplify]: Simplify (* 1 1) into 1 15.175 * [backup-simplify]: Simplify (sqrt 1) into 1 15.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.177 * [backup-simplify]: Simplify (+ 0 0) into 0 15.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.179 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 15.179 * [taylor]: Taking taylor expansion of 1 in x 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 15.179 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 15.179 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.179 * [taylor]: Taking taylor expansion of 1/2 in x 15.179 * [backup-simplify]: Simplify 1/2 into 1/2 15.179 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.179 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.179 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.179 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.179 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.179 * [taylor]: Taking taylor expansion of 1 in x 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [taylor]: Taking taylor expansion of 1 in x 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [taylor]: Taking taylor expansion of (* x x) in x 15.179 * [taylor]: Taking taylor expansion of x in x 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [taylor]: Taking taylor expansion of x in x 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 1 into 1 15.180 * [backup-simplify]: Simplify (* 1 1) into 1 15.180 * [backup-simplify]: Simplify (* 0 0) into 0 15.180 * [backup-simplify]: Simplify (+ 1 0) into 1 15.181 * [backup-simplify]: Simplify (sqrt 1) into 1 15.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.182 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.183 * [backup-simplify]: Simplify (+ 0 0) into 0 15.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.184 * [backup-simplify]: Simplify (/ 1 1) into 1 15.184 * [taylor]: Taking taylor expansion of 1/2 in x 15.184 * [backup-simplify]: Simplify 1/2 into 1/2 15.184 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.184 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.185 * [backup-simplify]: Simplify (* 1 1) into 1 15.185 * [backup-simplify]: Simplify (* 1 1) into 1 15.186 * [backup-simplify]: Simplify (sqrt 1) into 1 15.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.187 * [backup-simplify]: Simplify (+ 0 0) into 0 15.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.190 * [backup-simplify]: Simplify (- 1) into -1 15.190 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.190 * [backup-simplify]: Simplify 0 into 0 15.191 * [backup-simplify]: Simplify (- 0) into 0 15.191 * [backup-simplify]: Simplify (+ 0 0) into 0 15.191 * [backup-simplify]: Simplify 0 into 0 15.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.193 * [backup-simplify]: Simplify (+ 0 1) into 1 15.193 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.194 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.195 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 15.195 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 15.196 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 15.197 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 15.197 * [backup-simplify]: Simplify (- -3/8) into 3/8 15.197 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 15.197 * [backup-simplify]: Simplify 3/8 into 3/8 15.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.199 * [backup-simplify]: Simplify (+ 0 0) into 0 15.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 15.201 * [backup-simplify]: Simplify (+ 0 0) into 0 15.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 15.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 15.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 15.207 * [backup-simplify]: Simplify (- 0) into 0 15.207 * [backup-simplify]: Simplify (+ 0 0) into 0 15.207 * [backup-simplify]: Simplify 0 into 0 15.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.209 * [backup-simplify]: Simplify (+ 0 0) into 0 15.209 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.211 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 15.211 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 15.212 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 15.213 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 15.214 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 15.214 * [backup-simplify]: Simplify (- 39/128) into -39/128 15.215 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 15.215 * [backup-simplify]: Simplify -39/128 into -39/128 15.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 15.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 15.216 * [backup-simplify]: Simplify (+ 0 0) into 0 15.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 15.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 15.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 15.220 * [backup-simplify]: Simplify (+ 0 0) into 0 15.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 15.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 15.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 15.227 * [backup-simplify]: Simplify (- 0) into 0 15.228 * [backup-simplify]: Simplify (+ 0 0) into 0 15.228 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 15.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 15.232 * [backup-simplify]: Simplify (+ 0 0) into 0 15.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 15.236 * [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 15.239 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 15.239 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 15.242 * [backup-simplify]: Simplify (+ (* 1 -5/32) (+ (* 0 0) (+ (* -1/4 3/16) (+ (* 0 0) (+ (* 3/16 -1/4) (+ (* 0 0) (* -5/32 1))))))) into -13/32 15.245 * [backup-simplify]: Simplify (+ (* 1 -13/32) (+ (* 0 0) (+ (* -1/4 7/16) (+ (* 0 0) (+ (* 3/16 -1/2) (+ (* 0 0) (* -5/32 1))))))) into -49/64 15.247 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 15.247 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 15.248 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 15.248 * [backup-simplify]: Simplify 275/1024 into 275/1024 15.249 * [backup-simplify]: Simplify (+ (* 275/1024 (pow x 6)) (+ (* -39/128 (pow x 4)) (* 3/8 (pow x 2)))) into (- (+ (* 3/8 (pow x 2)) (* 275/1024 (pow x 6))) (* 39/128 (pow x 4))) 15.250 * [backup-simplify]: Simplify (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) 3/2)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 15.250 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 15.250 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 15.250 * [taylor]: Taking taylor expansion of 1 in x 15.250 * [backup-simplify]: Simplify 1 into 1 15.250 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 15.250 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 15.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.250 * [taylor]: Taking taylor expansion of 1/2 in x 15.250 * [backup-simplify]: Simplify 1/2 into 1/2 15.250 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.250 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.250 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.250 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.250 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.250 * [taylor]: Taking taylor expansion of 1 in x 15.250 * [backup-simplify]: Simplify 1 into 1 15.250 * [taylor]: Taking taylor expansion of 1 in x 15.250 * [backup-simplify]: Simplify 1 into 1 15.250 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.250 * [taylor]: Taking taylor expansion of x in x 15.250 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (/ 1 1) into 1 15.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.251 * [taylor]: Taking taylor expansion of x in x 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (/ 1 1) into 1 15.252 * [backup-simplify]: Simplify (* 1 1) into 1 15.252 * [backup-simplify]: Simplify (+ 0 1) into 1 15.253 * [backup-simplify]: Simplify (sqrt 1) into 1 15.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.255 * [backup-simplify]: Simplify (+ 0 0) into 0 15.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.256 * [backup-simplify]: Simplify (/ 1 1) into 1 15.256 * [taylor]: Taking taylor expansion of 1/2 in x 15.256 * [backup-simplify]: Simplify 1/2 into 1/2 15.256 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.257 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.257 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.258 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.258 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.258 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.259 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.260 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.261 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.261 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 15.261 * [taylor]: Taking taylor expansion of 1 in x 15.261 * [backup-simplify]: Simplify 1 into 1 15.261 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 15.261 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 15.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.261 * [taylor]: Taking taylor expansion of 1/2 in x 15.261 * [backup-simplify]: Simplify 1/2 into 1/2 15.261 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.261 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.262 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.262 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.262 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.262 * [taylor]: Taking taylor expansion of 1 in x 15.262 * [backup-simplify]: Simplify 1 into 1 15.262 * [taylor]: Taking taylor expansion of 1 in x 15.262 * [backup-simplify]: Simplify 1 into 1 15.262 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.262 * [taylor]: Taking taylor expansion of x in x 15.262 * [backup-simplify]: Simplify 0 into 0 15.262 * [backup-simplify]: Simplify 1 into 1 15.262 * [backup-simplify]: Simplify (/ 1 1) into 1 15.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.262 * [taylor]: Taking taylor expansion of x in x 15.262 * [backup-simplify]: Simplify 0 into 0 15.262 * [backup-simplify]: Simplify 1 into 1 15.263 * [backup-simplify]: Simplify (/ 1 1) into 1 15.263 * [backup-simplify]: Simplify (* 1 1) into 1 15.263 * [backup-simplify]: Simplify (+ 0 1) into 1 15.264 * [backup-simplify]: Simplify (sqrt 1) into 1 15.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.266 * [backup-simplify]: Simplify (+ 0 0) into 0 15.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.267 * [backup-simplify]: Simplify (/ 1 1) into 1 15.267 * [taylor]: Taking taylor expansion of 1/2 in x 15.267 * [backup-simplify]: Simplify 1/2 into 1/2 15.268 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.268 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.268 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.269 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.269 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.269 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.270 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.270 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.272 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.273 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 15.274 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 15.275 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 15.276 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 15.279 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 15.281 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 15.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.283 * [backup-simplify]: Simplify (+ 0 0) into 0 15.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 15.285 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 15.290 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.300 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 15.308 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 15.314 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 15.324 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 x) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 x)) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) 1) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8)))) 15.324 * [backup-simplify]: Simplify (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) 3/2)))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 15.324 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 15.324 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 15.324 * [taylor]: Taking taylor expansion of 1 in x 15.324 * [backup-simplify]: Simplify 1 into 1 15.324 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 15.324 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 15.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.324 * [taylor]: Taking taylor expansion of 1/2 in x 15.324 * [backup-simplify]: Simplify 1/2 into 1/2 15.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.325 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.325 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.325 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.325 * [taylor]: Taking taylor expansion of 1 in x 15.325 * [backup-simplify]: Simplify 1 into 1 15.325 * [taylor]: Taking taylor expansion of 1 in x 15.325 * [backup-simplify]: Simplify 1 into 1 15.325 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.325 * [taylor]: Taking taylor expansion of -1 in x 15.325 * [backup-simplify]: Simplify -1 into -1 15.325 * [taylor]: Taking taylor expansion of x in x 15.325 * [backup-simplify]: Simplify 0 into 0 15.325 * [backup-simplify]: Simplify 1 into 1 15.325 * [backup-simplify]: Simplify (/ -1 1) into -1 15.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.325 * [taylor]: Taking taylor expansion of -1 in x 15.325 * [backup-simplify]: Simplify -1 into -1 15.325 * [taylor]: Taking taylor expansion of x in x 15.325 * [backup-simplify]: Simplify 0 into 0 15.325 * [backup-simplify]: Simplify 1 into 1 15.325 * [backup-simplify]: Simplify (/ -1 1) into -1 15.326 * [backup-simplify]: Simplify (* -1 -1) into 1 15.326 * [backup-simplify]: Simplify (+ 0 1) into 1 15.326 * [backup-simplify]: Simplify (sqrt 1) into 1 15.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.328 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.328 * [backup-simplify]: Simplify (+ 0 0) into 0 15.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.329 * [backup-simplify]: Simplify (/ 1 1) into 1 15.329 * [taylor]: Taking taylor expansion of 1/2 in x 15.329 * [backup-simplify]: Simplify 1/2 into 1/2 15.329 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.329 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.329 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.330 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.330 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.330 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.331 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.331 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.336 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.336 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 15.336 * [taylor]: Taking taylor expansion of 1 in x 15.336 * [backup-simplify]: Simplify 1 into 1 15.336 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 15.336 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 15.336 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.336 * [taylor]: Taking taylor expansion of 1/2 in x 15.336 * [backup-simplify]: Simplify 1/2 into 1/2 15.336 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.336 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.336 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.336 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.336 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.336 * [taylor]: Taking taylor expansion of 1 in x 15.336 * [backup-simplify]: Simplify 1 into 1 15.336 * [taylor]: Taking taylor expansion of 1 in x 15.336 * [backup-simplify]: Simplify 1 into 1 15.336 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.336 * [taylor]: Taking taylor expansion of -1 in x 15.336 * [backup-simplify]: Simplify -1 into -1 15.337 * [taylor]: Taking taylor expansion of x in x 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify 1 into 1 15.337 * [backup-simplify]: Simplify (/ -1 1) into -1 15.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.337 * [taylor]: Taking taylor expansion of -1 in x 15.337 * [backup-simplify]: Simplify -1 into -1 15.337 * [taylor]: Taking taylor expansion of x in x 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify 1 into 1 15.337 * [backup-simplify]: Simplify (/ -1 1) into -1 15.338 * [backup-simplify]: Simplify (* -1 -1) into 1 15.338 * [backup-simplify]: Simplify (+ 0 1) into 1 15.338 * [backup-simplify]: Simplify (sqrt 1) into 1 15.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.340 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.340 * [backup-simplify]: Simplify (+ 0 0) into 0 15.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.341 * [backup-simplify]: Simplify (/ 1 1) into 1 15.341 * [taylor]: Taking taylor expansion of 1/2 in x 15.341 * [backup-simplify]: Simplify 1/2 into 1/2 15.341 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.341 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.341 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.342 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.342 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.342 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.343 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.343 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.344 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.344 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 15.345 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 15.346 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 15.347 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 15.349 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 15.350 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 15.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.352 * [backup-simplify]: Simplify (+ 0 0) into 0 15.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 15.353 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 15.356 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.361 * [backup-simplify]: Simplify (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 15.365 * [backup-simplify]: Simplify (+ 0 (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 15.369 * [backup-simplify]: Simplify (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) 15.374 * [backup-simplify]: Simplify (+ (* (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 3/16 (/ 1 (sqrt 1/8)))) (/ 1 (- x))) (- 1 (sqrt 1/8)))) into (- (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) 1)) (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8))) 15.374 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 15.374 * [backup-simplify]: Simplify (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 15.375 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 15.375 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 15.375 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 15.375 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.375 * [taylor]: Taking taylor expansion of 1/2 in x 15.375 * [backup-simplify]: Simplify 1/2 into 1/2 15.375 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.375 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.375 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.375 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.375 * [taylor]: Taking taylor expansion of 1 in x 15.375 * [backup-simplify]: Simplify 1 into 1 15.375 * [taylor]: Taking taylor expansion of 1 in x 15.375 * [backup-simplify]: Simplify 1 into 1 15.375 * [taylor]: Taking taylor expansion of (* x x) in x 15.375 * [taylor]: Taking taylor expansion of x in x 15.375 * [backup-simplify]: Simplify 0 into 0 15.375 * [backup-simplify]: Simplify 1 into 1 15.375 * [taylor]: Taking taylor expansion of x in x 15.375 * [backup-simplify]: Simplify 0 into 0 15.375 * [backup-simplify]: Simplify 1 into 1 15.375 * [backup-simplify]: Simplify (* 1 1) into 1 15.375 * [backup-simplify]: Simplify (* 0 0) into 0 15.376 * [backup-simplify]: Simplify (+ 1 0) into 1 15.376 * [backup-simplify]: Simplify (sqrt 1) into 1 15.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.377 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.377 * [backup-simplify]: Simplify (+ 0 0) into 0 15.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.378 * [backup-simplify]: Simplify (/ 1 1) into 1 15.378 * [taylor]: Taking taylor expansion of 1/2 in x 15.378 * [backup-simplify]: Simplify 1/2 into 1/2 15.378 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.378 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.378 * [backup-simplify]: Simplify (* 1 1) into 1 15.379 * [backup-simplify]: Simplify (* 1 1) into 1 15.379 * [backup-simplify]: Simplify (sqrt 1) into 1 15.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.380 * [backup-simplify]: Simplify (+ 0 0) into 0 15.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.382 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 15.382 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 15.382 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.382 * [taylor]: Taking taylor expansion of 1/2 in x 15.382 * [backup-simplify]: Simplify 1/2 into 1/2 15.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.382 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.382 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.382 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.382 * [taylor]: Taking taylor expansion of 1 in x 15.382 * [backup-simplify]: Simplify 1 into 1 15.382 * [taylor]: Taking taylor expansion of 1 in x 15.382 * [backup-simplify]: Simplify 1 into 1 15.382 * [taylor]: Taking taylor expansion of (* x x) in x 15.383 * [taylor]: Taking taylor expansion of x in x 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 1 into 1 15.383 * [taylor]: Taking taylor expansion of x in x 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 1 into 1 15.383 * [backup-simplify]: Simplify (* 1 1) into 1 15.383 * [backup-simplify]: Simplify (* 0 0) into 0 15.384 * [backup-simplify]: Simplify (+ 1 0) into 1 15.384 * [backup-simplify]: Simplify (sqrt 1) into 1 15.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.385 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.385 * [backup-simplify]: Simplify (+ 0 0) into 0 15.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.386 * [backup-simplify]: Simplify (/ 1 1) into 1 15.386 * [taylor]: Taking taylor expansion of 1/2 in x 15.386 * [backup-simplify]: Simplify 1/2 into 1/2 15.387 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.387 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.388 * [backup-simplify]: Simplify (* 1 1) into 1 15.388 * [backup-simplify]: Simplify (* 1 1) into 1 15.388 * [backup-simplify]: Simplify (sqrt 1) into 1 15.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.390 * [backup-simplify]: Simplify (+ 0 0) into 0 15.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.392 * [backup-simplify]: Simplify 1 into 1 15.392 * [backup-simplify]: Simplify 0 into 0 15.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.394 * [backup-simplify]: Simplify (+ 0 1) into 1 15.395 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.398 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.398 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 15.399 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 15.401 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 15.402 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 15.402 * [backup-simplify]: Simplify -3/8 into -3/8 15.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.404 * [backup-simplify]: Simplify (+ 0 0) into 0 15.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 15.408 * [backup-simplify]: Simplify (+ 0 0) into 0 15.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 15.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 15.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 15.412 * [backup-simplify]: Simplify 0 into 0 15.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.415 * [backup-simplify]: Simplify (+ 0 0) into 0 15.417 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.421 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 15.421 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 15.422 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 15.424 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 15.426 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 15.426 * [backup-simplify]: Simplify 39/128 into 39/128 15.426 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 15.427 * [backup-simplify]: Simplify (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) 3/2))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 15.427 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 15.427 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 15.427 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 15.427 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.427 * [taylor]: Taking taylor expansion of 1/2 in x 15.427 * [backup-simplify]: Simplify 1/2 into 1/2 15.427 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.427 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.427 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.427 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.427 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.427 * [taylor]: Taking taylor expansion of 1 in x 15.427 * [backup-simplify]: Simplify 1 into 1 15.427 * [taylor]: Taking taylor expansion of 1 in x 15.427 * [backup-simplify]: Simplify 1 into 1 15.427 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.428 * [taylor]: Taking taylor expansion of x in x 15.428 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify 1 into 1 15.428 * [backup-simplify]: Simplify (/ 1 1) into 1 15.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.428 * [taylor]: Taking taylor expansion of x in x 15.428 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify 1 into 1 15.428 * [backup-simplify]: Simplify (/ 1 1) into 1 15.429 * [backup-simplify]: Simplify (* 1 1) into 1 15.429 * [backup-simplify]: Simplify (+ 0 1) into 1 15.430 * [backup-simplify]: Simplify (sqrt 1) into 1 15.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.432 * [backup-simplify]: Simplify (+ 0 0) into 0 15.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.433 * [backup-simplify]: Simplify (/ 1 1) into 1 15.433 * [taylor]: Taking taylor expansion of 1/2 in x 15.433 * [backup-simplify]: Simplify 1/2 into 1/2 15.434 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.434 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.435 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.435 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.436 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.436 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.437 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.439 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.439 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 15.439 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 15.439 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.439 * [taylor]: Taking taylor expansion of 1/2 in x 15.439 * [backup-simplify]: Simplify 1/2 into 1/2 15.439 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.439 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.439 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.439 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.439 * [taylor]: Taking taylor expansion of 1 in x 15.439 * [backup-simplify]: Simplify 1 into 1 15.439 * [taylor]: Taking taylor expansion of 1 in x 15.439 * [backup-simplify]: Simplify 1 into 1 15.439 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.439 * [taylor]: Taking taylor expansion of x in x 15.439 * [backup-simplify]: Simplify 0 into 0 15.439 * [backup-simplify]: Simplify 1 into 1 15.440 * [backup-simplify]: Simplify (/ 1 1) into 1 15.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.440 * [taylor]: Taking taylor expansion of x in x 15.440 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify 1 into 1 15.440 * [backup-simplify]: Simplify (/ 1 1) into 1 15.441 * [backup-simplify]: Simplify (* 1 1) into 1 15.441 * [backup-simplify]: Simplify (+ 0 1) into 1 15.441 * [backup-simplify]: Simplify (sqrt 1) into 1 15.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.450 * [backup-simplify]: Simplify (+ 0 0) into 0 15.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.451 * [backup-simplify]: Simplify (/ 1 1) into 1 15.451 * [taylor]: Taking taylor expansion of 1/2 in x 15.451 * [backup-simplify]: Simplify 1/2 into 1/2 15.452 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.452 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.452 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.453 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.453 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.454 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.455 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.455 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.457 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.457 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.458 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 15.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.460 * [backup-simplify]: Simplify (+ 0 0) into 0 15.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 15.462 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 15.467 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.473 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.481 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 15.481 * [backup-simplify]: Simplify (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) 3/2))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 15.481 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 15.481 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 15.481 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 15.481 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.481 * [taylor]: Taking taylor expansion of 1/2 in x 15.481 * [backup-simplify]: Simplify 1/2 into 1/2 15.481 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.481 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.482 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.482 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.482 * [taylor]: Taking taylor expansion of 1 in x 15.482 * [backup-simplify]: Simplify 1 into 1 15.482 * [taylor]: Taking taylor expansion of 1 in x 15.482 * [backup-simplify]: Simplify 1 into 1 15.482 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.482 * [taylor]: Taking taylor expansion of -1 in x 15.482 * [backup-simplify]: Simplify -1 into -1 15.482 * [taylor]: Taking taylor expansion of x in x 15.482 * [backup-simplify]: Simplify 0 into 0 15.482 * [backup-simplify]: Simplify 1 into 1 15.482 * [backup-simplify]: Simplify (/ -1 1) into -1 15.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.482 * [taylor]: Taking taylor expansion of -1 in x 15.482 * [backup-simplify]: Simplify -1 into -1 15.482 * [taylor]: Taking taylor expansion of x in x 15.482 * [backup-simplify]: Simplify 0 into 0 15.482 * [backup-simplify]: Simplify 1 into 1 15.483 * [backup-simplify]: Simplify (/ -1 1) into -1 15.483 * [backup-simplify]: Simplify (* -1 -1) into 1 15.484 * [backup-simplify]: Simplify (+ 0 1) into 1 15.484 * [backup-simplify]: Simplify (sqrt 1) into 1 15.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.486 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.486 * [backup-simplify]: Simplify (+ 0 0) into 0 15.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.487 * [backup-simplify]: Simplify (/ 1 1) into 1 15.487 * [taylor]: Taking taylor expansion of 1/2 in x 15.487 * [backup-simplify]: Simplify 1/2 into 1/2 15.488 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.488 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.488 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.489 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.489 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.490 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.490 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.491 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.492 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.492 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 15.492 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 15.492 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.492 * [taylor]: Taking taylor expansion of 1/2 in x 15.492 * [backup-simplify]: Simplify 1/2 into 1/2 15.492 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.492 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.492 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.492 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.492 * [taylor]: Taking taylor expansion of 1 in x 15.492 * [backup-simplify]: Simplify 1 into 1 15.492 * [taylor]: Taking taylor expansion of 1 in x 15.492 * [backup-simplify]: Simplify 1 into 1 15.492 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.493 * [taylor]: Taking taylor expansion of -1 in x 15.493 * [backup-simplify]: Simplify -1 into -1 15.493 * [taylor]: Taking taylor expansion of x in x 15.493 * [backup-simplify]: Simplify 0 into 0 15.493 * [backup-simplify]: Simplify 1 into 1 15.493 * [backup-simplify]: Simplify (/ -1 1) into -1 15.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.493 * [taylor]: Taking taylor expansion of -1 in x 15.493 * [backup-simplify]: Simplify -1 into -1 15.493 * [taylor]: Taking taylor expansion of x in x 15.493 * [backup-simplify]: Simplify 0 into 0 15.493 * [backup-simplify]: Simplify 1 into 1 15.493 * [backup-simplify]: Simplify (/ -1 1) into -1 15.494 * [backup-simplify]: Simplify (* -1 -1) into 1 15.494 * [backup-simplify]: Simplify (+ 0 1) into 1 15.494 * [backup-simplify]: Simplify (sqrt 1) into 1 15.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.497 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.497 * [backup-simplify]: Simplify (+ 0 0) into 0 15.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.498 * [backup-simplify]: Simplify (/ 1 1) into 1 15.498 * [taylor]: Taking taylor expansion of 1/2 in x 15.498 * [backup-simplify]: Simplify 1/2 into 1/2 15.498 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.499 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.499 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.499 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.500 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.500 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.500 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.501 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.502 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.503 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.504 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 15.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.505 * [backup-simplify]: Simplify (+ 0 0) into 0 15.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 15.507 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 15.513 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.519 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.527 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 15.527 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 15.527 * [backup-simplify]: Simplify (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2) into (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3/2) 15.527 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3/2) in (x) around 0 15.527 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3/2) in x 15.527 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) in x 15.527 * [taylor]: Taking taylor expansion of (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 15.527 * [taylor]: Taking taylor expansion of 3/2 in x 15.527 * [backup-simplify]: Simplify 3/2 into 3/2 15.527 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 15.527 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.527 * [taylor]: Taking taylor expansion of 1/2 in x 15.527 * [backup-simplify]: Simplify 1/2 into 1/2 15.527 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.527 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.527 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.528 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.528 * [taylor]: Taking taylor expansion of 1 in x 15.528 * [backup-simplify]: Simplify 1 into 1 15.528 * [taylor]: Taking taylor expansion of 1 in x 15.528 * [backup-simplify]: Simplify 1 into 1 15.528 * [taylor]: Taking taylor expansion of (* x x) in x 15.528 * [taylor]: Taking taylor expansion of x in x 15.528 * [backup-simplify]: Simplify 0 into 0 15.528 * [backup-simplify]: Simplify 1 into 1 15.528 * [taylor]: Taking taylor expansion of x in x 15.528 * [backup-simplify]: Simplify 0 into 0 15.528 * [backup-simplify]: Simplify 1 into 1 15.528 * [backup-simplify]: Simplify (* 1 1) into 1 15.528 * [backup-simplify]: Simplify (* 0 0) into 0 15.528 * [backup-simplify]: Simplify (+ 1 0) into 1 15.529 * [backup-simplify]: Simplify (sqrt 1) into 1 15.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.529 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.530 * [backup-simplify]: Simplify (+ 0 0) into 0 15.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.530 * [backup-simplify]: Simplify (/ 1 1) into 1 15.530 * [taylor]: Taking taylor expansion of 1/2 in x 15.530 * [backup-simplify]: Simplify 1/2 into 1/2 15.531 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.531 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.531 * [backup-simplify]: Simplify (log 1) into 0 15.531 * [backup-simplify]: Simplify (* 3/2 0) into 0 15.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.533 * [backup-simplify]: Simplify (+ 0 0) into 0 15.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.534 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 0)) into 0 15.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.535 * [backup-simplify]: Simplify (+ 0 1) into 1 15.536 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.537 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.537 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 15.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/4) 1)) (pow 1 1)))) 2) into -1/4 15.539 * [backup-simplify]: Simplify (+ (* 3/2 -1/4) (+ (* 0 0) (* 0 0))) into -3/8 15.539 * [backup-simplify]: Simplify (exp 0) into 1 15.539 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3/2) in x 15.539 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))) in x 15.539 * [taylor]: Taking taylor expansion of (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 15.539 * [taylor]: Taking taylor expansion of 3/2 in x 15.539 * [backup-simplify]: Simplify 3/2 into 3/2 15.539 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 15.539 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.539 * [taylor]: Taking taylor expansion of 1/2 in x 15.539 * [backup-simplify]: Simplify 1/2 into 1/2 15.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.539 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.540 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.540 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.540 * [taylor]: Taking taylor expansion of 1 in x 15.540 * [backup-simplify]: Simplify 1 into 1 15.540 * [taylor]: Taking taylor expansion of 1 in x 15.540 * [backup-simplify]: Simplify 1 into 1 15.540 * [taylor]: Taking taylor expansion of (* x x) in x 15.540 * [taylor]: Taking taylor expansion of x in x 15.540 * [backup-simplify]: Simplify 0 into 0 15.540 * [backup-simplify]: Simplify 1 into 1 15.540 * [taylor]: Taking taylor expansion of x in x 15.540 * [backup-simplify]: Simplify 0 into 0 15.540 * [backup-simplify]: Simplify 1 into 1 15.540 * [backup-simplify]: Simplify (* 1 1) into 1 15.540 * [backup-simplify]: Simplify (* 0 0) into 0 15.541 * [backup-simplify]: Simplify (+ 1 0) into 1 15.541 * [backup-simplify]: Simplify (sqrt 1) into 1 15.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.542 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.542 * [backup-simplify]: Simplify (+ 0 0) into 0 15.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.542 * [backup-simplify]: Simplify (/ 1 1) into 1 15.542 * [taylor]: Taking taylor expansion of 1/2 in x 15.543 * [backup-simplify]: Simplify 1/2 into 1/2 15.543 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.543 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.543 * [backup-simplify]: Simplify (log 1) into 0 15.543 * [backup-simplify]: Simplify (* 3/2 0) into 0 15.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.545 * [backup-simplify]: Simplify (+ 0 0) into 0 15.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.546 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 0)) into 0 15.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.547 * [backup-simplify]: Simplify (+ 0 1) into 1 15.548 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.549 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.549 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 15.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/4) 1)) (pow 1 1)))) 2) into -1/4 15.552 * [backup-simplify]: Simplify (+ (* 3/2 -1/4) (+ (* 0 0) (* 0 0))) into -3/8 15.552 * [backup-simplify]: Simplify (exp 0) into 1 15.552 * [backup-simplify]: Simplify 1 into 1 15.552 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 15.552 * [backup-simplify]: Simplify 0 into 0 15.553 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/8 1) 1)))) into -3/8 15.553 * [backup-simplify]: Simplify -3/8 into -3/8 15.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.555 * [backup-simplify]: Simplify (+ 0 0) into 0 15.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 15.562 * [backup-simplify]: Simplify (+ 0 0) into 0 15.565 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/4) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.566 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 0)))) into 0 15.567 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/8 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.567 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.569 * [backup-simplify]: Simplify (+ 0 0) into 0 15.570 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.572 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 15.572 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 15.578 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/4) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/4) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 3/16) 1)) (pow 1 1)))) 24) into 5/32 15.579 * [backup-simplify]: Simplify (+ (* 3/2 5/32) (+ (* 0 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 0))))) into 15/64 15.582 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/8 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/8 2) 2)) (* (/ (pow 15/64 1) 1)))) into 39/128 15.582 * [backup-simplify]: Simplify 39/128 into 39/128 15.582 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 15.582 * [backup-simplify]: Simplify (pow (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) 3/2) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3/2) 15.582 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3/2) in (x) around 0 15.582 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3/2) in x 15.582 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 15.582 * [taylor]: Taking taylor expansion of (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 15.582 * [taylor]: Taking taylor expansion of 3/2 in x 15.582 * [backup-simplify]: Simplify 3/2 into 3/2 15.582 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 15.582 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.582 * [taylor]: Taking taylor expansion of 1/2 in x 15.582 * [backup-simplify]: Simplify 1/2 into 1/2 15.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.583 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.583 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.583 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.583 * [taylor]: Taking taylor expansion of 1 in x 15.583 * [backup-simplify]: Simplify 1 into 1 15.583 * [taylor]: Taking taylor expansion of 1 in x 15.583 * [backup-simplify]: Simplify 1 into 1 15.583 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.583 * [taylor]: Taking taylor expansion of x in x 15.583 * [backup-simplify]: Simplify 0 into 0 15.583 * [backup-simplify]: Simplify 1 into 1 15.583 * [backup-simplify]: Simplify (/ 1 1) into 1 15.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.583 * [taylor]: Taking taylor expansion of x in x 15.583 * [backup-simplify]: Simplify 0 into 0 15.583 * [backup-simplify]: Simplify 1 into 1 15.583 * [backup-simplify]: Simplify (/ 1 1) into 1 15.584 * [backup-simplify]: Simplify (* 1 1) into 1 15.584 * [backup-simplify]: Simplify (+ 0 1) into 1 15.584 * [backup-simplify]: Simplify (sqrt 1) into 1 15.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.586 * [backup-simplify]: Simplify (+ 0 0) into 0 15.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.586 * [backup-simplify]: Simplify (/ 1 1) into 1 15.586 * [taylor]: Taking taylor expansion of 1/2 in x 15.586 * [backup-simplify]: Simplify 1/2 into 1/2 15.587 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.587 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 15.587 * [backup-simplify]: Simplify (* 3/2 (log 1/2)) into (* 3/2 (log 1/2)) 15.588 * [backup-simplify]: Simplify (exp (* 3/2 (log 1/2))) into (pow 1/2 3/2) 15.588 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3/2) in x 15.588 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 15.588 * [taylor]: Taking taylor expansion of (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 15.588 * [taylor]: Taking taylor expansion of 3/2 in x 15.588 * [backup-simplify]: Simplify 3/2 into 3/2 15.588 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 15.588 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.588 * [taylor]: Taking taylor expansion of 1/2 in x 15.589 * [backup-simplify]: Simplify 1/2 into 1/2 15.589 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.589 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.589 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.589 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.589 * [taylor]: Taking taylor expansion of 1 in x 15.589 * [backup-simplify]: Simplify 1 into 1 15.589 * [taylor]: Taking taylor expansion of 1 in x 15.589 * [backup-simplify]: Simplify 1 into 1 15.589 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.589 * [taylor]: Taking taylor expansion of x in x 15.589 * [backup-simplify]: Simplify 0 into 0 15.589 * [backup-simplify]: Simplify 1 into 1 15.589 * [backup-simplify]: Simplify (/ 1 1) into 1 15.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.589 * [taylor]: Taking taylor expansion of x in x 15.589 * [backup-simplify]: Simplify 0 into 0 15.589 * [backup-simplify]: Simplify 1 into 1 15.589 * [backup-simplify]: Simplify (/ 1 1) into 1 15.590 * [backup-simplify]: Simplify (* 1 1) into 1 15.590 * [backup-simplify]: Simplify (+ 0 1) into 1 15.590 * [backup-simplify]: Simplify (sqrt 1) into 1 15.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.592 * [backup-simplify]: Simplify (+ 0 0) into 0 15.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.592 * [backup-simplify]: Simplify (/ 1 1) into 1 15.592 * [taylor]: Taking taylor expansion of 1/2 in x 15.592 * [backup-simplify]: Simplify 1/2 into 1/2 15.593 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.593 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 15.593 * [backup-simplify]: Simplify (* 3/2 (log 1/2)) into (* 3/2 (log 1/2)) 15.594 * [backup-simplify]: Simplify (exp (* 3/2 (log 1/2))) into (pow 1/2 3/2) 15.595 * [backup-simplify]: Simplify (pow 1/2 3/2) into (pow 1/2 3/2) 15.595 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.595 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 15.597 * [backup-simplify]: Simplify (+ (* 3/2 1) (* 0 (log 1/2))) into 3/2 15.600 * [backup-simplify]: Simplify (* (exp (* 3/2 (log 1/2))) (+ (* (/ (pow 3/2 1) 1)))) into (* 3/2 (sqrt (pow 1/2 3))) 15.601 * [backup-simplify]: Simplify (* 3/2 (sqrt (pow 1/2 3))) into (* 3/2 (sqrt 1/8)) 15.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.603 * [backup-simplify]: Simplify (+ 0 0) into 0 15.605 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 15.607 * [backup-simplify]: Simplify (+ (* 3/2 -1/2) (+ (* 0 1) (* 0 (log 1/2)))) into -3/4 15.611 * [backup-simplify]: Simplify (* (exp (* 3/2 (log 1/2))) (+ (* (/ (pow 3/2 2) 2)) (* (/ (pow -3/4 1) 1)))) into (* 3/8 (sqrt (pow 1/2 3))) 15.612 * [backup-simplify]: Simplify (* 3/8 (sqrt (pow 1/2 3))) into (* 3/8 (sqrt 1/8)) 15.614 * [backup-simplify]: Simplify (+ (* (* 3/8 (sqrt 1/8)) (pow (/ 1 x) 2)) (+ (* (* 3/2 (sqrt 1/8)) (/ 1 x)) (pow 1/2 3/2))) into (+ (* 3/8 (/ (sqrt 1/8) (pow x 2))) (+ (* 3/2 (/ (sqrt 1/8) x)) (pow 1/2 3/2))) 15.615 * [backup-simplify]: Simplify (pow (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) 3/2) into (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3/2) 15.615 * [approximate]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3/2) in (x) around 0 15.615 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3/2) in x 15.615 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 15.615 * [taylor]: Taking taylor expansion of (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 15.615 * [taylor]: Taking taylor expansion of 3/2 in x 15.615 * [backup-simplify]: Simplify 3/2 into 3/2 15.615 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 15.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.615 * [taylor]: Taking taylor expansion of 1/2 in x 15.615 * [backup-simplify]: Simplify 1/2 into 1/2 15.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.615 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.615 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.615 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.615 * [taylor]: Taking taylor expansion of 1 in x 15.615 * [backup-simplify]: Simplify 1 into 1 15.615 * [taylor]: Taking taylor expansion of 1 in x 15.615 * [backup-simplify]: Simplify 1 into 1 15.615 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.615 * [taylor]: Taking taylor expansion of -1 in x 15.615 * [backup-simplify]: Simplify -1 into -1 15.615 * [taylor]: Taking taylor expansion of x in x 15.615 * [backup-simplify]: Simplify 0 into 0 15.615 * [backup-simplify]: Simplify 1 into 1 15.616 * [backup-simplify]: Simplify (/ -1 1) into -1 15.616 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.616 * [taylor]: Taking taylor expansion of -1 in x 15.616 * [backup-simplify]: Simplify -1 into -1 15.616 * [taylor]: Taking taylor expansion of x in x 15.616 * [backup-simplify]: Simplify 0 into 0 15.616 * [backup-simplify]: Simplify 1 into 1 15.616 * [backup-simplify]: Simplify (/ -1 1) into -1 15.617 * [backup-simplify]: Simplify (* -1 -1) into 1 15.617 * [backup-simplify]: Simplify (+ 0 1) into 1 15.618 * [backup-simplify]: Simplify (sqrt 1) into 1 15.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.620 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.620 * [backup-simplify]: Simplify (+ 0 0) into 0 15.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.621 * [backup-simplify]: Simplify (/ 1 1) into 1 15.621 * [taylor]: Taking taylor expansion of 1/2 in x 15.621 * [backup-simplify]: Simplify 1/2 into 1/2 15.622 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.622 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 15.623 * [backup-simplify]: Simplify (* 3/2 (log 1/2)) into (* 3/2 (log 1/2)) 15.624 * [backup-simplify]: Simplify (exp (* 3/2 (log 1/2))) into (pow 1/2 3/2) 15.625 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3/2) in x 15.625 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 15.625 * [taylor]: Taking taylor expansion of (* 3/2 (log (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 15.625 * [taylor]: Taking taylor expansion of 3/2 in x 15.625 * [backup-simplify]: Simplify 3/2 into 3/2 15.625 * [taylor]: Taking taylor expansion of (log (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 15.625 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.625 * [taylor]: Taking taylor expansion of 1/2 in x 15.625 * [backup-simplify]: Simplify 1/2 into 1/2 15.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.625 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.625 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.625 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.625 * [taylor]: Taking taylor expansion of 1 in x 15.625 * [backup-simplify]: Simplify 1 into 1 15.625 * [taylor]: Taking taylor expansion of 1 in x 15.625 * [backup-simplify]: Simplify 1 into 1 15.625 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.625 * [taylor]: Taking taylor expansion of -1 in x 15.625 * [backup-simplify]: Simplify -1 into -1 15.625 * [taylor]: Taking taylor expansion of x in x 15.625 * [backup-simplify]: Simplify 0 into 0 15.625 * [backup-simplify]: Simplify 1 into 1 15.626 * [backup-simplify]: Simplify (/ -1 1) into -1 15.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.626 * [taylor]: Taking taylor expansion of -1 in x 15.626 * [backup-simplify]: Simplify -1 into -1 15.626 * [taylor]: Taking taylor expansion of x in x 15.626 * [backup-simplify]: Simplify 0 into 0 15.626 * [backup-simplify]: Simplify 1 into 1 15.626 * [backup-simplify]: Simplify (/ -1 1) into -1 15.627 * [backup-simplify]: Simplify (* -1 -1) into 1 15.627 * [backup-simplify]: Simplify (+ 0 1) into 1 15.627 * [backup-simplify]: Simplify (sqrt 1) into 1 15.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.630 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.630 * [backup-simplify]: Simplify (+ 0 0) into 0 15.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.632 * [backup-simplify]: Simplify (/ 1 1) into 1 15.632 * [taylor]: Taking taylor expansion of 1/2 in x 15.632 * [backup-simplify]: Simplify 1/2 into 1/2 15.632 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.633 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 15.634 * [backup-simplify]: Simplify (* 3/2 (log 1/2)) into (* 3/2 (log 1/2)) 15.636 * [backup-simplify]: Simplify (exp (* 3/2 (log 1/2))) into (pow 1/2 3/2) 15.637 * [backup-simplify]: Simplify (pow 1/2 3/2) into (pow 1/2 3/2) 15.637 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.638 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 15.641 * [backup-simplify]: Simplify (+ (* 3/2 1) (* 0 (log 1/2))) into 3/2 15.645 * [backup-simplify]: Simplify (* (exp (* 3/2 (log 1/2))) (+ (* (/ (pow 3/2 1) 1)))) into (* 3/2 (sqrt (pow 1/2 3))) 15.646 * [backup-simplify]: Simplify (* 3/2 (sqrt (pow 1/2 3))) into (* 3/2 (sqrt 1/8)) 15.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.648 * [backup-simplify]: Simplify (+ 0 0) into 0 15.649 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 15.650 * [backup-simplify]: Simplify (+ (* 3/2 -1/2) (+ (* 0 1) (* 0 (log 1/2)))) into -3/4 15.656 * [backup-simplify]: Simplify (* (exp (* 3/2 (log 1/2))) (+ (* (/ (pow 3/2 2) 2)) (* (/ (pow -3/4 1) 1)))) into (* 3/8 (sqrt (pow 1/2 3))) 15.657 * [backup-simplify]: Simplify (* 3/8 (sqrt (pow 1/2 3))) into (* 3/8 (sqrt 1/8)) 15.660 * [backup-simplify]: Simplify (+ (* (* 3/8 (sqrt 1/8)) (pow (/ 1 (- x)) 2)) (+ (* (* 3/2 (sqrt 1/8)) (/ 1 (- x))) (pow 1/2 3/2))) into (- (+ (* 3/8 (/ (sqrt 1/8) (pow x 2))) (pow 1/2 3/2)) (* 3/2 (/ (sqrt 1/8) x))) 15.660 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 15.660 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 15.660 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 15.660 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 15.660 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 15.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.660 * [taylor]: Taking taylor expansion of 1/2 in x 15.660 * [backup-simplify]: Simplify 1/2 into 1/2 15.660 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.660 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.660 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.660 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.660 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.660 * [taylor]: Taking taylor expansion of 1 in x 15.660 * [backup-simplify]: Simplify 1 into 1 15.660 * [taylor]: Taking taylor expansion of 1 in x 15.661 * [backup-simplify]: Simplify 1 into 1 15.661 * [taylor]: Taking taylor expansion of (* x x) in x 15.661 * [taylor]: Taking taylor expansion of x in x 15.661 * [backup-simplify]: Simplify 0 into 0 15.661 * [backup-simplify]: Simplify 1 into 1 15.661 * [taylor]: Taking taylor expansion of x in x 15.661 * [backup-simplify]: Simplify 0 into 0 15.661 * [backup-simplify]: Simplify 1 into 1 15.661 * [backup-simplify]: Simplify (* 1 1) into 1 15.661 * [backup-simplify]: Simplify (* 0 0) into 0 15.662 * [backup-simplify]: Simplify (+ 1 0) into 1 15.662 * [backup-simplify]: Simplify (sqrt 1) into 1 15.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.663 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.664 * [backup-simplify]: Simplify (+ 0 0) into 0 15.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.665 * [backup-simplify]: Simplify (/ 1 1) into 1 15.665 * [taylor]: Taking taylor expansion of 1/2 in x 15.665 * [backup-simplify]: Simplify 1/2 into 1/2 15.665 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.665 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.666 * [backup-simplify]: Simplify (* 1 1) into 1 15.666 * [backup-simplify]: Simplify (* 1 1) into 1 15.666 * [backup-simplify]: Simplify (sqrt 1) into 1 15.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.668 * [backup-simplify]: Simplify (+ 0 0) into 0 15.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.670 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 15.670 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 15.670 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 15.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 15.670 * [taylor]: Taking taylor expansion of 1/2 in x 15.670 * [backup-simplify]: Simplify 1/2 into 1/2 15.670 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 15.670 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 15.670 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 15.670 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 15.670 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.670 * [taylor]: Taking taylor expansion of 1 in x 15.670 * [backup-simplify]: Simplify 1 into 1 15.670 * [taylor]: Taking taylor expansion of 1 in x 15.670 * [backup-simplify]: Simplify 1 into 1 15.670 * [taylor]: Taking taylor expansion of (* x x) in x 15.670 * [taylor]: Taking taylor expansion of x in x 15.671 * [backup-simplify]: Simplify 0 into 0 15.671 * [backup-simplify]: Simplify 1 into 1 15.671 * [taylor]: Taking taylor expansion of x in x 15.671 * [backup-simplify]: Simplify 0 into 0 15.671 * [backup-simplify]: Simplify 1 into 1 15.671 * [backup-simplify]: Simplify (* 1 1) into 1 15.672 * [backup-simplify]: Simplify (* 0 0) into 0 15.672 * [backup-simplify]: Simplify (+ 1 0) into 1 15.672 * [backup-simplify]: Simplify (sqrt 1) into 1 15.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.679 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.680 * [backup-simplify]: Simplify (+ 0 0) into 0 15.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.681 * [backup-simplify]: Simplify (/ 1 1) into 1 15.681 * [taylor]: Taking taylor expansion of 1/2 in x 15.681 * [backup-simplify]: Simplify 1/2 into 1/2 15.681 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.682 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 15.682 * [backup-simplify]: Simplify (* 1 1) into 1 15.682 * [backup-simplify]: Simplify (* 1 1) into 1 15.683 * [backup-simplify]: Simplify (sqrt 1) into 1 15.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.685 * [backup-simplify]: Simplify (+ 0 0) into 0 15.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.686 * [backup-simplify]: Simplify 1 into 1 15.686 * [backup-simplify]: Simplify 0 into 0 15.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.688 * [backup-simplify]: Simplify (+ 0 1) into 1 15.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 15.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 15.691 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 15.692 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 15.692 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 15.693 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 15.694 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 15.694 * [backup-simplify]: Simplify -3/8 into -3/8 15.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.697 * [backup-simplify]: Simplify (+ 0 0) into 0 15.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 15.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 15.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 15.700 * [backup-simplify]: Simplify (+ 0 0) into 0 15.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 15.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 15.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 15.704 * [backup-simplify]: Simplify 0 into 0 15.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.706 * [backup-simplify]: Simplify (+ 0 0) into 0 15.707 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 15.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 15.709 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 15.710 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 15.710 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 15.711 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 15.712 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 15.712 * [backup-simplify]: Simplify 39/128 into 39/128 15.713 * [backup-simplify]: Simplify (+ (* 39/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 1)) into (- (+ (* 39/128 (pow x 4)) 1) (* 3/8 (pow x 2))) 15.713 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 15.713 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 15.713 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 15.713 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 15.713 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.713 * [taylor]: Taking taylor expansion of 1/2 in x 15.713 * [backup-simplify]: Simplify 1/2 into 1/2 15.713 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.713 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.713 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.713 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.713 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.713 * [taylor]: Taking taylor expansion of 1 in x 15.713 * [backup-simplify]: Simplify 1 into 1 15.713 * [taylor]: Taking taylor expansion of 1 in x 15.713 * [backup-simplify]: Simplify 1 into 1 15.713 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.713 * [taylor]: Taking taylor expansion of x in x 15.713 * [backup-simplify]: Simplify 0 into 0 15.713 * [backup-simplify]: Simplify 1 into 1 15.714 * [backup-simplify]: Simplify (/ 1 1) into 1 15.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.714 * [taylor]: Taking taylor expansion of x in x 15.714 * [backup-simplify]: Simplify 0 into 0 15.714 * [backup-simplify]: Simplify 1 into 1 15.714 * [backup-simplify]: Simplify (/ 1 1) into 1 15.714 * [backup-simplify]: Simplify (* 1 1) into 1 15.714 * [backup-simplify]: Simplify (+ 0 1) into 1 15.715 * [backup-simplify]: Simplify (sqrt 1) into 1 15.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.716 * [backup-simplify]: Simplify (+ 0 0) into 0 15.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.717 * [backup-simplify]: Simplify (/ 1 1) into 1 15.717 * [taylor]: Taking taylor expansion of 1/2 in x 15.717 * [backup-simplify]: Simplify 1/2 into 1/2 15.717 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.717 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.718 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.718 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.718 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.718 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.719 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.719 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.720 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.720 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 15.720 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 15.720 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 15.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 15.720 * [taylor]: Taking taylor expansion of 1/2 in x 15.720 * [backup-simplify]: Simplify 1/2 into 1/2 15.720 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 15.720 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 15.720 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 15.720 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 15.720 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.720 * [taylor]: Taking taylor expansion of 1 in x 15.720 * [backup-simplify]: Simplify 1 into 1 15.720 * [taylor]: Taking taylor expansion of 1 in x 15.720 * [backup-simplify]: Simplify 1 into 1 15.720 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 15.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.720 * [taylor]: Taking taylor expansion of x in x 15.720 * [backup-simplify]: Simplify 0 into 0 15.720 * [backup-simplify]: Simplify 1 into 1 15.721 * [backup-simplify]: Simplify (/ 1 1) into 1 15.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 15.721 * [taylor]: Taking taylor expansion of x in x 15.721 * [backup-simplify]: Simplify 0 into 0 15.721 * [backup-simplify]: Simplify 1 into 1 15.721 * [backup-simplify]: Simplify (/ 1 1) into 1 15.722 * [backup-simplify]: Simplify (* 1 1) into 1 15.722 * [backup-simplify]: Simplify (+ 0 1) into 1 15.722 * [backup-simplify]: Simplify (sqrt 1) into 1 15.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.724 * [backup-simplify]: Simplify (+ 0 0) into 0 15.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.724 * [backup-simplify]: Simplify (/ 1 1) into 1 15.724 * [taylor]: Taking taylor expansion of 1/2 in x 15.724 * [backup-simplify]: Simplify 1/2 into 1/2 15.725 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.725 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.725 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.725 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.726 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.726 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.726 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.726 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.727 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.728 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.729 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 15.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.731 * [backup-simplify]: Simplify (+ 0 0) into 0 15.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 15.733 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 15.739 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.746 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.755 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 x) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 x)) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ 1 (* x (sqrt 1/8)))) (sqrt 1/8))) (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3))))) 15.756 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 15.756 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 15.756 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 15.756 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 15.756 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.756 * [taylor]: Taking taylor expansion of 1/2 in x 15.756 * [backup-simplify]: Simplify 1/2 into 1/2 15.756 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.756 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.756 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.756 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.756 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.756 * [taylor]: Taking taylor expansion of 1 in x 15.756 * [backup-simplify]: Simplify 1 into 1 15.756 * [taylor]: Taking taylor expansion of 1 in x 15.756 * [backup-simplify]: Simplify 1 into 1 15.756 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.756 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.756 * [taylor]: Taking taylor expansion of -1 in x 15.756 * [backup-simplify]: Simplify -1 into -1 15.756 * [taylor]: Taking taylor expansion of x in x 15.756 * [backup-simplify]: Simplify 0 into 0 15.756 * [backup-simplify]: Simplify 1 into 1 15.757 * [backup-simplify]: Simplify (/ -1 1) into -1 15.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.757 * [taylor]: Taking taylor expansion of -1 in x 15.757 * [backup-simplify]: Simplify -1 into -1 15.757 * [taylor]: Taking taylor expansion of x in x 15.757 * [backup-simplify]: Simplify 0 into 0 15.757 * [backup-simplify]: Simplify 1 into 1 15.757 * [backup-simplify]: Simplify (/ -1 1) into -1 15.758 * [backup-simplify]: Simplify (* -1 -1) into 1 15.758 * [backup-simplify]: Simplify (+ 0 1) into 1 15.759 * [backup-simplify]: Simplify (sqrt 1) into 1 15.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.760 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.761 * [backup-simplify]: Simplify (+ 0 0) into 0 15.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.761 * [backup-simplify]: Simplify (/ 1 1) into 1 15.761 * [taylor]: Taking taylor expansion of 1/2 in x 15.761 * [backup-simplify]: Simplify 1/2 into 1/2 15.762 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.762 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.762 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.762 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.763 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.763 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.763 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.764 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.765 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.765 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 15.765 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 15.765 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 15.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 15.765 * [taylor]: Taking taylor expansion of 1/2 in x 15.765 * [backup-simplify]: Simplify 1/2 into 1/2 15.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 15.765 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 15.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 15.765 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 15.765 * [taylor]: Taking taylor expansion of (* 1 1) in x 15.765 * [taylor]: Taking taylor expansion of 1 in x 15.765 * [backup-simplify]: Simplify 1 into 1 15.765 * [taylor]: Taking taylor expansion of 1 in x 15.765 * [backup-simplify]: Simplify 1 into 1 15.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 15.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.765 * [taylor]: Taking taylor expansion of -1 in x 15.765 * [backup-simplify]: Simplify -1 into -1 15.765 * [taylor]: Taking taylor expansion of x in x 15.765 * [backup-simplify]: Simplify 0 into 0 15.765 * [backup-simplify]: Simplify 1 into 1 15.766 * [backup-simplify]: Simplify (/ -1 1) into -1 15.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x 15.766 * [taylor]: Taking taylor expansion of -1 in x 15.766 * [backup-simplify]: Simplify -1 into -1 15.766 * [taylor]: Taking taylor expansion of x in x 15.766 * [backup-simplify]: Simplify 0 into 0 15.766 * [backup-simplify]: Simplify 1 into 1 15.766 * [backup-simplify]: Simplify (/ -1 1) into -1 15.766 * [backup-simplify]: Simplify (* -1 -1) into 1 15.766 * [backup-simplify]: Simplify (+ 0 1) into 1 15.767 * [backup-simplify]: Simplify (sqrt 1) into 1 15.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.768 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.768 * [backup-simplify]: Simplify (+ 0 0) into 0 15.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.769 * [backup-simplify]: Simplify (/ 1 1) into 1 15.769 * [taylor]: Taking taylor expansion of 1/2 in x 15.769 * [backup-simplify]: Simplify 1/2 into 1/2 15.769 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 15.770 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 15.770 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 15.770 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.770 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 15.771 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 15.771 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 15.772 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 15.773 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 15.773 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 15.774 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 15.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.775 * [backup-simplify]: Simplify (+ 0 0) into 0 15.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 15.776 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 15.779 * [backup-simplify]: Simplify (/ (- 3/8 (pow (/ 3/16 (sqrt 1/8)) 2) (+)) (* 2 (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.783 * [backup-simplify]: Simplify (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) into (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) 15.796 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8))) (pow (/ 1 (- x)) 2)) (+ (* (/ 3/16 (sqrt 1/8)) (/ 1 (- x))) (sqrt 1/8))) into (- (+ (* 3/16 (/ 1 (* (pow x 2) (sqrt 1/8)))) (sqrt 1/8)) (+ (* 9/512 (/ 1 (* (pow x 2) (pow (sqrt 1/8) 3)))) (* 3/16 (/ 1 (* x (sqrt 1/8)))))) 15.796 * * * [progress]: simplifying candidates 15.796 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 15.796 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 15.797 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 15.798 * * * * [progress]: [ 21 / 143 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)))))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))> 15.798 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 24 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 15.799 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 15.800 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.801 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 15.802 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 67 / 143 ] simplifiying candidate #real (real->posit16 (* (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)))))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))> 15.803 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 15.803 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 15.804 * * * * [progress]: [ 89 / 143 ] simplifiying candidate #real (real->posit16 (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)))))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))> 15.805 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 15.805 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 111 / 143 ] simplifiying candidate # 15.806 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 15.807 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)))) (+ (+ (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))> 15.808 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 15.808 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 15.809 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 15.813 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2))) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)) (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 3/2)) 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[simplify]: Extracting #3: cost 1365 inf + 63026 17.258 * * [simplify]: Extracting #4: cost 716 inf + 310694 17.410 * * [simplify]: Extracting #5: cost 140 inf + 524974 17.597 * * [simplify]: Extracting #6: cost 10 inf + 562707 17.761 * * [simplify]: Extracting #7: cost 1 inf + 558757 17.914 * * [simplify]: Extracting #8: cost 0 inf + 559050 18.069 * [simplify]: Simplified to: (- 1 (* (sqrt (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 3/2)) (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 (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 3/2))) (sqrt (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 3/2)))) (- 1 (* (sqrt (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 3/2)) (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 (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 3/2))) (sqrt (pow (+ 1/2 (/ 1/2 (hypot 1 x))) 3/2)))) (- 1 (* 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(fma 39/128 (* (* x x) (* x x)) 1)) (+ (+ (/ 3/16 (* (sqrt 1/8) x)) (sqrt 1/8)) (+ (/ -9/512 (* (* (sqrt 1/8) (* x x)) 1/8)) (/ 3/16 (* (sqrt 1/8) (* x x))))) (- (+ (/ 3/16 (* (sqrt 1/8) (* x x))) (+ (sqrt 1/8) (/ -9/512 (* (* (sqrt 1/8) (* x x)) 1/8)))) (/ 3/16 (* (sqrt 1/8) x))) 18.094 * * * [progress]: adding candidates to table 19.125 * [progress]: [Phase 3 of 3] Extracting. 19.125 * * [regime]: Finding splitpoints for: (# # # # # #) 19.127 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 19.127 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # # # #) 19.175 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 19.234 * * * * [regimes]: Trying to branch on x from (# # # # # #) 19.294 * * * [regime]: Found split indices: #