31.311 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.078 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.078 * * [simplify]: iteration 0: 9 enodes 0.083 * * [simplify]: iteration 1: 21 enodes 0.095 * * [simplify]: iteration 2: 43 enodes 0.127 * * [simplify]: iteration 3: 69 enodes 0.147 * * [simplify]: iteration 4: 89 enodes 0.167 * * [simplify]: iteration 5: 111 enodes 0.187 * * [simplify]: iteration 6: 114 enodes 0.199 * * [simplify]: iteration complete: 114 enodes 0.199 * * [simplify]: Extracting #0: cost 1 inf + 0 0.199 * * [simplify]: Extracting #1: cost 4 inf + 0 0.199 * * [simplify]: Extracting #2: cost 4 inf + 1 0.199 * * [simplify]: Extracting #3: cost 8 inf + 1 0.199 * * [simplify]: Extracting #4: cost 9 inf + 2 0.199 * * [simplify]: Extracting #5: cost 10 inf + 2 0.200 * * [simplify]: Extracting #6: cost 9 inf + 3 0.200 * * [simplify]: Extracting #7: cost 6 inf + 255 0.200 * * [simplify]: Extracting #8: cost 1 inf + 1024 0.201 * * [simplify]: Extracting #9: cost 0 inf + 1242 0.202 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.208 * * [progress]: iteration 1 / 4 0.208 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.237 * * * [progress]: generating rewritten candidates 0.237 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.272 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.280 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.299 * * * [progress]: generating series expansions 0.300 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.300 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.300 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 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 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of 1/2 in x 0.300 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.300 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.300 * [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 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (* 0 0) into 0 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [backup-simplify]: Simplify (sqrt 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1/2 in x 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.304 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.306 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.306 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of 1/2 in x 0.306 * [backup-simplify]: Simplify 1/2 into 1/2 0.306 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.306 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.306 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.306 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of (* x x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (* 0 0) into 0 0.307 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (sqrt 1) into 1 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of 1/2 in x 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.310 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.310 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.310 * [backup-simplify]: Simplify (sqrt 1) into 1 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.312 * [backup-simplify]: Simplify (- 1) into -1 0.313 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.315 * [backup-simplify]: Simplify (+ 0 1) into 1 0.315 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.316 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.317 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.317 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.318 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.318 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.318 * [backup-simplify]: Simplify 1/8 into 1/8 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.328 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.329 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.329 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.330 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.330 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.330 * [backup-simplify]: Simplify -11/128 into -11/128 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.345 * [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 0.346 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.346 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.347 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.348 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.348 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.348 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.348 * [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))) 0.348 * [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))) 0.348 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.348 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.348 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.349 * [taylor]: Taking taylor expansion of 1/2 in x 0.349 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.349 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.349 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ 0 1) into 1 0.350 * [backup-simplify]: Simplify (sqrt 1) into 1 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of 1/2 in x 0.352 * [backup-simplify]: Simplify 1/2 into 1/2 0.353 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.353 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.353 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.353 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.354 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.354 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.354 * [taylor]: Taking taylor expansion of 1 in x 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.354 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.354 * [backup-simplify]: Simplify 1/2 into 1/2 0.354 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.355 * [taylor]: Taking taylor expansion of 1 in x 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of 1 in x 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ 0 1) into 1 0.356 * [backup-simplify]: Simplify (sqrt 1) into 1 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of 1/2 in x 0.359 * [backup-simplify]: Simplify 1/2 into 1/2 0.359 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.360 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.360 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.361 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.362 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.363 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.364 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.365 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.367 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.370 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.373 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.383 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.387 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.390 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.395 * [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))) 0.396 * [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))) 0.396 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.396 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.396 * [taylor]: Taking taylor expansion of 1/2 in x 0.396 * [backup-simplify]: Simplify 1/2 into 1/2 0.396 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.396 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of 1 in x 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ -1 1) into -1 0.397 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.397 * [taylor]: Taking taylor expansion of -1 in x 0.397 * [backup-simplify]: Simplify -1 into -1 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ -1 1) into -1 0.398 * [backup-simplify]: Simplify (* -1 -1) into 1 0.398 * [backup-simplify]: Simplify (+ 0 1) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of 1/2 in x 0.403 * [backup-simplify]: Simplify 1/2 into 1/2 0.403 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.403 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.404 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.405 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.406 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.406 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.406 * [taylor]: Taking taylor expansion of 1 in x 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.406 * [taylor]: Taking taylor expansion of 1/2 in x 0.406 * [backup-simplify]: Simplify 1/2 into 1/2 0.406 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.406 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.406 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.406 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [backup-simplify]: Simplify -1 into -1 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ -1 1) into -1 0.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.407 * [taylor]: Taking taylor expansion of -1 in x 0.407 * [backup-simplify]: Simplify -1 into -1 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ -1 1) into -1 0.408 * [backup-simplify]: Simplify (* -1 -1) into 1 0.408 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [taylor]: Taking taylor expansion of 1/2 in x 0.413 * [backup-simplify]: Simplify 1/2 into 1/2 0.413 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.413 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.414 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.414 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.416 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.417 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.418 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.419 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.421 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.423 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.424 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.430 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.432 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.434 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.437 * [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)) 0.437 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.437 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.437 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of 1/2 in x 0.437 * [backup-simplify]: Simplify 1/2 into 1/2 0.437 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.437 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.437 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.437 * [taylor]: Taking taylor expansion of 1 in x 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of 1 in x 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of (* x x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (* 0 0) into 0 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (sqrt 1) into 1 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.440 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.440 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of 1/2 in x 0.440 * [backup-simplify]: Simplify 1/2 into 1/2 0.440 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.440 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.440 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.440 * [taylor]: Taking taylor expansion of 1 in x 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of 1 in x 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (* x x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (* 0 0) into 0 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.445 * [backup-simplify]: Simplify 1/2 into 1/2 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.447 * [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 0.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.456 * [backup-simplify]: Simplify 3/16 into 3/16 0.456 * [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))) 0.457 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.457 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.457 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.457 * [taylor]: Taking taylor expansion of 1/2 in x 0.457 * [backup-simplify]: Simplify 1/2 into 1/2 0.457 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.457 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.457 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (+ 0 1) into 1 0.459 * [backup-simplify]: Simplify (sqrt 1) into 1 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.463 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 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 0.465 * [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 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.467 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.468 * [backup-simplify]: Simplify 1/2 into 1/2 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.471 * [backup-simplify]: Simplify -1/4 into -1/4 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.480 * [backup-simplify]: Simplify 3/16 into 3/16 0.480 * [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)))) 0.480 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.480 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.480 * [taylor]: Taking taylor expansion of 1/2 in x 0.480 * [backup-simplify]: Simplify 1/2 into 1/2 0.480 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.480 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [backup-simplify]: Simplify (* -1 -1) into 1 0.481 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.484 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.484 * [taylor]: Taking taylor expansion of 1/2 in x 0.484 * [backup-simplify]: Simplify 1/2 into 1/2 0.484 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.484 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.484 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.484 * [taylor]: Taking taylor expansion of 1 in x 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of 1 in x 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [backup-simplify]: Simplify -1 into -1 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ -1 1) into -1 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [backup-simplify]: Simplify -1 into -1 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ -1 1) into -1 0.485 * [backup-simplify]: Simplify (* -1 -1) into 1 0.485 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.488 * [backup-simplify]: Simplify 1/2 into 1/2 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.493 * [backup-simplify]: Simplify -1/4 into -1/4 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.505 * [backup-simplify]: Simplify 3/16 into 3/16 0.506 * [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)))) 0.506 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.506 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 x))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.506 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1/2 in x 0.506 * [backup-simplify]: Simplify 1/2 into 1/2 0.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.506 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.506 * [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 (* x x) in x 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 * [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 (* 0 0) into 0 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.508 * [backup-simplify]: Simplify (sqrt 1) into 1 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of 1/2 in x 0.511 * [backup-simplify]: Simplify 1/2 into 1/2 0.511 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1/2 in x 0.511 * [backup-simplify]: Simplify 1/2 into 1/2 0.511 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.511 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.511 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.511 * [taylor]: Taking taylor expansion of 1 in x 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of 1 in x 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of (* x x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (* 0 0) into 0 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.513 * [backup-simplify]: Simplify (sqrt 1) into 1 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 1/2 in x 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.516 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.517 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.521 * [backup-simplify]: Simplify (+ 0 1) into 1 0.522 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.524 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.524 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.524 * [backup-simplify]: Simplify -1/4 into -1/4 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.535 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.535 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.535 * [backup-simplify]: Simplify 3/16 into 3/16 0.535 * [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))) 0.535 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.535 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.536 * [taylor]: Taking taylor expansion of 1/2 in x 0.536 * [backup-simplify]: Simplify 1/2 into 1/2 0.536 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.536 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.536 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ 0 1) into 1 0.537 * [backup-simplify]: Simplify (sqrt 1) into 1 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.540 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of 1/2 in x 0.540 * [backup-simplify]: Simplify 1/2 into 1/2 0.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.540 * [taylor]: Taking taylor expansion of 1 in x 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of 1 in x 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (+ 0 1) into 1 0.541 * [backup-simplify]: Simplify (sqrt 1) into 1 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of 1/2 in x 0.544 * [backup-simplify]: Simplify 1/2 into 1/2 0.544 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.544 * [backup-simplify]: Simplify 1/2 into 1/2 0.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.544 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.544 * [backup-simplify]: Simplify 1/2 into 1/2 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.550 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.551 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.551 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.551 * [backup-simplify]: Simplify -1/4 into -1/4 0.552 * [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)))) 0.552 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.552 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.552 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.552 * [taylor]: Taking taylor expansion of 1/2 in x 0.552 * [backup-simplify]: Simplify 1/2 into 1/2 0.552 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.552 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [backup-simplify]: Simplify -1 into -1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (/ -1 1) into -1 0.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.552 * [taylor]: Taking taylor expansion of -1 in x 0.552 * [backup-simplify]: Simplify -1 into -1 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ -1 1) into -1 0.553 * [backup-simplify]: Simplify (* -1 -1) into 1 0.553 * [backup-simplify]: Simplify (+ 0 1) into 1 0.553 * [backup-simplify]: Simplify (sqrt 1) into 1 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of 1/2 in x 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.556 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of 1/2 in x 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.556 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.556 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.556 * [taylor]: Taking taylor expansion of 1 in x 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of 1 in x 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ -1 1) into -1 0.557 * [backup-simplify]: Simplify (* -1 -1) into 1 0.557 * [backup-simplify]: Simplify (+ 0 1) into 1 0.557 * [backup-simplify]: Simplify (sqrt 1) into 1 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 0.560 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.560 * [backup-simplify]: Simplify 1/2 into 1/2 0.560 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.561 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.561 * [backup-simplify]: Simplify 1/2 into 1/2 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.566 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.570 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.570 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.570 * [backup-simplify]: Simplify -1/4 into -1/4 0.570 * [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))) 0.570 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.571 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.571 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.571 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.571 * [taylor]: Taking taylor expansion of 1/2 in x 0.571 * [backup-simplify]: Simplify 1/2 into 1/2 0.571 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.571 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.571 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.571 * [taylor]: Taking taylor expansion of 1 in x 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of 1 in x 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of (* x x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (* 0 0) into 0 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.573 * [backup-simplify]: Simplify (sqrt 1) into 1 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.575 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [taylor]: Taking taylor expansion of 1/2 in x 0.575 * [backup-simplify]: Simplify 1/2 into 1/2 0.575 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.575 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.575 * [backup-simplify]: Simplify (sqrt 1) into 1 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.577 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.577 * [taylor]: Taking taylor expansion of 1/2 in x 0.577 * [backup-simplify]: Simplify 1/2 into 1/2 0.577 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.577 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.577 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.577 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.577 * [taylor]: Taking taylor expansion of 1 in x 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of 1 in x 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of (* x x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (* 0 0) into 0 0.578 * [backup-simplify]: Simplify (+ 1 0) into 1 0.578 * [backup-simplify]: Simplify (sqrt 1) into 1 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of 1/2 in x 0.580 * [backup-simplify]: Simplify 1/2 into 1/2 0.580 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.580 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.581 * [backup-simplify]: Simplify (sqrt 1) into 1 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.584 * [backup-simplify]: Simplify (+ 0 1) into 1 0.584 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.585 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.586 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.586 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.586 * [backup-simplify]: Simplify -1/8 into -1/8 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.596 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.596 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.597 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.597 * [backup-simplify]: Simplify 11/128 into 11/128 0.597 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 1)) into (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) 0.597 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.597 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.597 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of 1/2 in x 0.597 * [backup-simplify]: Simplify 1/2 into 1/2 0.597 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.597 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [taylor]: Taking taylor expansion of 1 in x 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (+ 0 1) into 1 0.599 * [backup-simplify]: Simplify (sqrt 1) into 1 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of 1/2 in x 0.601 * [backup-simplify]: Simplify 1/2 into 1/2 0.601 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.602 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.602 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.602 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.603 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.603 * [taylor]: Taking taylor expansion of 1/2 in x 0.603 * [backup-simplify]: Simplify 1/2 into 1/2 0.603 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.603 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.603 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.603 * [taylor]: Taking taylor expansion of 1 in x 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of 1 in x 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (+ 0 1) into 1 0.605 * [backup-simplify]: Simplify (sqrt 1) into 1 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.608 * [backup-simplify]: Simplify (/ 1 1) into 1 0.608 * [taylor]: Taking taylor expansion of 1/2 in x 0.608 * [backup-simplify]: Simplify 1/2 into 1/2 0.609 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.609 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.610 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.610 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.612 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.612 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.613 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.623 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.626 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (sqrt 1/2))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 0.626 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.626 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of 1/2 in x 0.626 * [backup-simplify]: Simplify 1/2 into 1/2 0.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.627 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.627 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.627 * [taylor]: Taking taylor expansion of 1 in x 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of 1 in x 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [backup-simplify]: Simplify -1 into -1 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ -1 1) into -1 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [backup-simplify]: Simplify -1 into -1 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ -1 1) into -1 0.628 * [backup-simplify]: Simplify (* -1 -1) into 1 0.629 * [backup-simplify]: Simplify (+ 0 1) into 1 0.629 * [backup-simplify]: Simplify (sqrt 1) into 1 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [taylor]: Taking taylor expansion of 1/2 in x 0.633 * [backup-simplify]: Simplify 1/2 into 1/2 0.634 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.634 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.634 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.635 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.636 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.636 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.637 * [taylor]: Taking taylor expansion of 1/2 in x 0.637 * [backup-simplify]: Simplify 1/2 into 1/2 0.637 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.637 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.637 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.637 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.637 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.637 * [taylor]: Taking taylor expansion of 1 in x 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of 1 in x 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.637 * [taylor]: Taking taylor expansion of -1 in x 0.637 * [backup-simplify]: Simplify -1 into -1 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (/ -1 1) into -1 0.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.638 * [taylor]: Taking taylor expansion of -1 in x 0.638 * [backup-simplify]: Simplify -1 into -1 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (/ -1 1) into -1 0.639 * [backup-simplify]: Simplify (* -1 -1) into 1 0.639 * [backup-simplify]: Simplify (+ 0 1) into 1 0.640 * [backup-simplify]: Simplify (sqrt 1) into 1 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.643 * [backup-simplify]: Simplify (/ 1 1) into 1 0.644 * [taylor]: Taking taylor expansion of 1/2 in x 0.644 * [backup-simplify]: Simplify 1/2 into 1/2 0.644 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.644 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.645 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.645 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.647 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.647 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.648 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.657 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.660 * [backup-simplify]: Simplify (+ (* (/ -1/32 (pow (sqrt 1/2) 3)) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.660 * * * [progress]: simplifying candidates 0.660 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 0.660 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 0.660 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 0.661 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 0.662 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 0.662 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 0.662 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 0.662 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 0.662 * * * * [progress]: [ 20 / 127 ] 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[progress]: [ 36 / 127 ] simplifiying candidate # 0.663 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 0.663 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 0.663 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 0.663 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 0.663 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 0.663 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 0.663 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.664 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 0.664 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 0.665 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 0.666 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 0.666 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.666 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 0.666 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 0.666 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 0.666 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 0.666 * * * * 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0.667 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 0.667 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.668 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 0.668 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 0.669 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 0.674 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))) (fma (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 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(sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)))) (fma (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (fma (- (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 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(hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (exp 1/2) (exp (/ 1/2 (hypot 1 x)))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1/2 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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3))) (sqrt (+ (* 1/2 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ 1 2) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 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))) (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 0.680 * * [simplify]: iteration 0: 213 enodes 0.785 * * [simplify]: iteration 1: 507 enodes 1.162 * * [simplify]: iteration 2: 1398 enodes 2.218 * * [simplify]: iteration 3: 4713 enodes 3.302 * * [simplify]: iteration complete: 5000 enodes 3.302 * * [simplify]: Extracting #0: cost 95 inf + 0 3.305 * * [simplify]: Extracting #1: cost 573 inf + 3 3.317 * * [simplify]: Extracting #2: cost 1013 inf + 11960 3.339 * * [simplify]: Extracting #3: cost 648 inf + 73113 3.391 * * [simplify]: Extracting #4: cost 275 inf + 156824 3.489 * * [simplify]: Extracting #5: cost 34 inf + 229076 3.598 * * [simplify]: Extracting #6: cost 3 inf + 239928 3.678 * * [simplify]: Extracting #7: cost 0 inf + 240809 3.739 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (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))))) (- 1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (cbrt 1/2)) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ (/ 1 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8) (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4) (- 1/4 (/ 1/4 (* (hypot 1 x) (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 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)) (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- 1/4 (/ 1/4 (* (hypot 1 x) (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* x x) 1/8 (fma (* (* x x) (* (* x x) (* x x))) 69/1024 (* -11/128 (* (* x x) (* x x))))) (fma (/ 1 (* (* (sqrt 1/2) x) x)) 1/16 (- 1 (+ (sqrt 1/2) (/ (/ 1/4 (sqrt 1/2)) x)))) (- (+ (/ (/ 1/4 (sqrt 1/2)) x) 1) (+ (/ (/ -1/32 (sqrt 1/2)) (* 1/2 (* x x))) (sqrt 1/2))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (- (/ 1/2 x) (/ (/ 1/4 x) (* x x))) (/ 3/16 (pow x 5))) (+ (/ -3/16 (pow x 5)) (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x))) (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1)) (+ (+ (/ 1/2 x) 1/2) (/ -1/4 (* (* x x) x))) (fma (/ 1/2 x) (/ 1/2 (* x x)) (- 1/2 (/ 1/2 x))) (fma -1/8 (* x x) (fma 11/128 (* (* x x) (* x x)) 1)) (+ (/ (/ 1/4 (sqrt 1/2)) x) (+ (sqrt 1/2) (/ (/ -1/32 (sqrt 1/2)) (* 1/2 (* x x))))) (+ (/ (/ -1/32 (sqrt 1/2)) (* 1/2 (* x x))) (+ (/ -1/4 (* (sqrt 1/2) x)) (sqrt 1/2))) 3.750 * * * [progress]: adding candidates to table 4.174 * * [progress]: iteration 2 / 4 4.174 * * * [progress]: picking best candidate 4.187 * * * * [pick]: Picked # 4.187 * * * [progress]: localizing error 4.218 * * * [progress]: generating rewritten candidates 4.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.421 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.476 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.741 * * * [progress]: generating series expansions 4.742 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.742 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 4.742 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 4.742 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 4.742 * [taylor]: Taking taylor expansion of 1 in x 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 4.742 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 4.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.742 * [taylor]: Taking taylor expansion of 1/2 in x 4.742 * [backup-simplify]: Simplify 1/2 into 1/2 4.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.742 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.742 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.743 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.743 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.743 * [taylor]: Taking taylor expansion of 1 in x 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [taylor]: Taking taylor expansion of 1 in x 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [taylor]: Taking taylor expansion of (* x x) in x 4.743 * [taylor]: Taking taylor expansion of x in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [taylor]: Taking taylor expansion of x in x 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.744 * [backup-simplify]: Simplify (* 1 1) into 1 4.744 * [backup-simplify]: Simplify (* 0 0) into 0 4.744 * [backup-simplify]: Simplify (+ 1 0) into 1 4.745 * [backup-simplify]: Simplify (sqrt 1) into 1 4.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.746 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.747 * [backup-simplify]: Simplify (+ 0 0) into 0 4.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.748 * [backup-simplify]: Simplify (/ 1 1) into 1 4.748 * [taylor]: Taking taylor expansion of 1/2 in x 4.748 * [backup-simplify]: Simplify 1/2 into 1/2 4.748 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.749 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.749 * [backup-simplify]: Simplify (* 1 1) into 1 4.750 * [backup-simplify]: Simplify (* 1 1) into 1 4.750 * [backup-simplify]: Simplify (sqrt 1) into 1 4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.754 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 4.755 * [taylor]: Taking taylor expansion of 1 in x 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 4.755 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 4.755 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.755 * [taylor]: Taking taylor expansion of 1/2 in x 4.755 * [backup-simplify]: Simplify 1/2 into 1/2 4.755 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.755 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.755 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.755 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.755 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.755 * [taylor]: Taking taylor expansion of 1 in x 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [taylor]: Taking taylor expansion of 1 in x 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [taylor]: Taking taylor expansion of (* x x) in x 4.755 * [taylor]: Taking taylor expansion of x in x 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [taylor]: Taking taylor expansion of x in x 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (* 1 1) into 1 4.756 * [backup-simplify]: Simplify (* 0 0) into 0 4.757 * [backup-simplify]: Simplify (+ 1 0) into 1 4.757 * [backup-simplify]: Simplify (sqrt 1) into 1 4.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.759 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.759 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.760 * [backup-simplify]: Simplify (/ 1 1) into 1 4.760 * [taylor]: Taking taylor expansion of 1/2 in x 4.760 * [backup-simplify]: Simplify 1/2 into 1/2 4.761 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.761 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.762 * [backup-simplify]: Simplify (* 1 1) into 1 4.762 * [backup-simplify]: Simplify (* 1 1) into 1 4.762 * [backup-simplify]: Simplify (sqrt 1) into 1 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.764 * [backup-simplify]: Simplify (+ 0 0) into 0 4.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.767 * [backup-simplify]: Simplify (- 1) into -1 4.767 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (- 0) into 0 4.768 * [backup-simplify]: Simplify (+ 0 0) into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.771 * [backup-simplify]: Simplify (+ 0 1) into 1 4.772 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.775 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.775 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.776 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 4.778 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 4.779 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 4.779 * [backup-simplify]: Simplify (- -3/8) into 3/8 4.780 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 4.780 * [backup-simplify]: Simplify 3/8 into 3/8 4.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 4.797 * [backup-simplify]: Simplify (- 0) into 0 4.797 * [backup-simplify]: Simplify (+ 0 0) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.800 * [backup-simplify]: Simplify (+ 0 0) into 0 4.802 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 4.803 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 4.804 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 4.805 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 4.806 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 4.807 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 4.807 * [backup-simplify]: Simplify (- 39/128) into -39/128 4.807 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 4.807 * [backup-simplify]: Simplify -39/128 into -39/128 4.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.809 * [backup-simplify]: Simplify (+ 0 0) into 0 4.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 4.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 4.813 * [backup-simplify]: Simplify (+ 0 0) into 0 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 4.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 4.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 4.817 * [backup-simplify]: Simplify (- 0) into 0 4.817 * [backup-simplify]: Simplify (+ 0 0) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.819 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 4.825 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 4.826 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 4.828 * [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 4.830 * [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 4.831 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 4.832 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 4.832 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 4.832 * [backup-simplify]: Simplify 275/1024 into 275/1024 4.832 * [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))) 4.832 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 4.833 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 4.833 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 4.833 * [taylor]: Taking taylor expansion of 1 in x 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 4.833 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 4.833 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.833 * [taylor]: Taking taylor expansion of 1/2 in x 4.833 * [backup-simplify]: Simplify 1/2 into 1/2 4.833 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.833 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.833 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.833 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.833 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.833 * [taylor]: Taking taylor expansion of 1 in x 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [taylor]: Taking taylor expansion of 1 in x 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.833 * [taylor]: Taking taylor expansion of x in x 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.833 * [taylor]: Taking taylor expansion of x in x 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify (/ 1 1) into 1 4.834 * [backup-simplify]: Simplify (* 1 1) into 1 4.834 * [backup-simplify]: Simplify (+ 0 1) into 1 4.834 * [backup-simplify]: Simplify (sqrt 1) into 1 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.837 * [backup-simplify]: Simplify (/ 1 1) into 1 4.837 * [taylor]: Taking taylor expansion of 1/2 in x 4.837 * [backup-simplify]: Simplify 1/2 into 1/2 4.837 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.837 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.837 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.838 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.838 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.838 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.839 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.840 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.840 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 4.840 * [taylor]: Taking taylor expansion of 1 in x 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 4.840 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 4.840 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 4.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 4.840 * [taylor]: Taking taylor expansion of 1/2 in x 4.840 * [backup-simplify]: Simplify 1/2 into 1/2 4.840 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 4.840 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 4.840 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 4.840 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.840 * [taylor]: Taking taylor expansion of 1 in x 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [taylor]: Taking taylor expansion of 1 in x 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 4.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.840 * [taylor]: Taking taylor expansion of x in x 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (/ 1 1) into 1 4.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.841 * [taylor]: Taking taylor expansion of x in x 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (/ 1 1) into 1 4.841 * [backup-simplify]: Simplify (* 1 1) into 1 4.841 * [backup-simplify]: Simplify (+ 0 1) into 1 4.842 * [backup-simplify]: Simplify (sqrt 1) into 1 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.844 * [backup-simplify]: Simplify (/ 1 1) into 1 4.844 * [taylor]: Taking taylor expansion of 1/2 in x 4.844 * [backup-simplify]: Simplify 1/2 into 1/2 4.845 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.845 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.845 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.845 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.846 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.846 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.846 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.847 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.848 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.848 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 4.850 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 4.851 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 4.852 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.856 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.859 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.862 * [backup-simplify]: Simplify (+ 0 0) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 4.864 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 4.870 * [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))) 4.877 * [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)))) 4.881 * [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)))) 4.885 * [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)))) 4.890 * [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)))) 4.891 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 4.891 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 4.891 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 4.891 * [taylor]: Taking taylor expansion of 1 in x 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 4.891 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 4.891 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.891 * [taylor]: Taking taylor expansion of 1/2 in x 4.891 * [backup-simplify]: Simplify 1/2 into 1/2 4.891 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.891 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.891 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.891 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.891 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.891 * [taylor]: Taking taylor expansion of 1 in x 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [taylor]: Taking taylor expansion of 1 in x 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.891 * [taylor]: Taking taylor expansion of -1 in x 4.891 * [backup-simplify]: Simplify -1 into -1 4.891 * [taylor]: Taking taylor expansion of x in x 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (/ -1 1) into -1 4.891 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.891 * [taylor]: Taking taylor expansion of -1 in x 4.892 * [backup-simplify]: Simplify -1 into -1 4.892 * [taylor]: Taking taylor expansion of x in x 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [backup-simplify]: Simplify (/ -1 1) into -1 4.892 * [backup-simplify]: Simplify (* -1 -1) into 1 4.892 * [backup-simplify]: Simplify (+ 0 1) into 1 4.893 * [backup-simplify]: Simplify (sqrt 1) into 1 4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.894 * [backup-simplify]: Simplify (+ 0 0) into 0 4.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.895 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [taylor]: Taking taylor expansion of 1/2 in x 4.895 * [backup-simplify]: Simplify 1/2 into 1/2 4.896 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.896 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.896 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.896 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.897 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.897 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.897 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.898 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.899 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.899 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 4.899 * [taylor]: Taking taylor expansion of 1 in x 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 4.899 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 4.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.899 * [taylor]: Taking taylor expansion of 1/2 in x 4.899 * [backup-simplify]: Simplify 1/2 into 1/2 4.899 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.899 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.899 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 4.899 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 4.899 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.899 * [taylor]: Taking taylor expansion of 1 in x 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [taylor]: Taking taylor expansion of 1 in x 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 4.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.899 * [taylor]: Taking taylor expansion of -1 in x 4.899 * [backup-simplify]: Simplify -1 into -1 4.899 * [taylor]: Taking taylor expansion of x in x 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (/ -1 1) into -1 4.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.901 * [taylor]: Taking taylor expansion of -1 in x 4.901 * [backup-simplify]: Simplify -1 into -1 4.901 * [taylor]: Taking taylor expansion of x in x 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (/ -1 1) into -1 4.902 * [backup-simplify]: Simplify (* -1 -1) into 1 4.902 * [backup-simplify]: Simplify (+ 0 1) into 1 4.903 * [backup-simplify]: Simplify (sqrt 1) into 1 4.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.905 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.905 * [backup-simplify]: Simplify (+ 0 0) into 0 4.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.906 * [backup-simplify]: Simplify (/ 1 1) into 1 4.906 * [taylor]: Taking taylor expansion of 1/2 in x 4.906 * [backup-simplify]: Simplify 1/2 into 1/2 4.907 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.907 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.908 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 4.908 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 4.908 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.909 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.909 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 4.910 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 4.911 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 4.912 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 4.914 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 4.915 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 4.916 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.919 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.922 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 4.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.924 * [backup-simplify]: Simplify (+ 0 0) into 0 4.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 4.926 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 4.931 * [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))) 4.941 * [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)))) 4.948 * [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)))) 4.954 * [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)))) 4.963 * [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))) 4.964 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.964 * [backup-simplify]: Simplify (/ (- 1 (* (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))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) 4.964 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in (x) around 0 4.964 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 4.964 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 4.964 * [taylor]: Taking taylor expansion of 1 in x 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 4.964 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 4.964 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.964 * [taylor]: Taking taylor expansion of 1/2 in x 4.964 * [backup-simplify]: Simplify 1/2 into 1/2 4.964 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.964 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.964 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.965 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.965 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.965 * [taylor]: Taking taylor expansion of 1 in x 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [taylor]: Taking taylor expansion of 1 in x 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [taylor]: Taking taylor expansion of (* x x) in x 4.965 * [taylor]: Taking taylor expansion of x in x 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [taylor]: Taking taylor expansion of x in x 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [backup-simplify]: Simplify (* 1 1) into 1 4.966 * [backup-simplify]: Simplify (* 0 0) into 0 4.966 * [backup-simplify]: Simplify (+ 1 0) into 1 4.967 * [backup-simplify]: Simplify (sqrt 1) into 1 4.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.968 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.968 * [backup-simplify]: Simplify (+ 0 0) into 0 4.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.969 * [backup-simplify]: Simplify (/ 1 1) into 1 4.969 * [taylor]: Taking taylor expansion of 1/2 in x 4.969 * [backup-simplify]: Simplify 1/2 into 1/2 4.970 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.970 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.970 * [backup-simplify]: Simplify (* 1 1) into 1 4.971 * [backup-simplify]: Simplify (* 1 1) into 1 4.971 * [backup-simplify]: Simplify (sqrt 1) into 1 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.975 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 4.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 4.975 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 4.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.975 * [taylor]: Taking taylor expansion of 1/2 in x 4.975 * [backup-simplify]: Simplify 1/2 into 1/2 4.975 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.975 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.975 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.975 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.975 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.975 * [taylor]: Taking taylor expansion of 1 in x 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [taylor]: Taking taylor expansion of 1 in x 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [taylor]: Taking taylor expansion of (* x x) in x 4.975 * [taylor]: Taking taylor expansion of x in x 4.975 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of x in x 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (* 1 1) into 1 4.976 * [backup-simplify]: Simplify (* 0 0) into 0 4.977 * [backup-simplify]: Simplify (+ 1 0) into 1 4.977 * [backup-simplify]: Simplify (sqrt 1) into 1 4.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.978 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.979 * [backup-simplify]: Simplify (+ 0 0) into 0 4.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.980 * [backup-simplify]: Simplify (/ 1 1) into 1 4.980 * [taylor]: Taking taylor expansion of 1/2 in x 4.980 * [backup-simplify]: Simplify 1/2 into 1/2 4.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.981 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.981 * [backup-simplify]: Simplify (sqrt 1) into 1 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.983 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.984 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 4.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 4.984 * [taylor]: Taking taylor expansion of 1/2 in x 4.984 * [backup-simplify]: Simplify 1/2 into 1/2 4.984 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 4.984 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 4.984 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 4.984 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 4.984 * [taylor]: Taking taylor expansion of (* 1 1) in x 4.984 * [taylor]: Taking taylor expansion of 1 in x 4.984 * [backup-simplify]: Simplify 1 into 1 4.984 * [taylor]: Taking taylor expansion of 1 in x 4.984 * [backup-simplify]: Simplify 1 into 1 4.984 * [taylor]: Taking taylor expansion of (* x x) in x 4.984 * [taylor]: Taking taylor expansion of x in x 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.984 * [taylor]: Taking taylor expansion of x in x 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (* 0 0) into 0 4.986 * [backup-simplify]: Simplify (+ 1 0) into 1 4.986 * [backup-simplify]: Simplify (sqrt 1) into 1 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.988 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.989 * [backup-simplify]: Simplify (/ 1 1) into 1 4.989 * [taylor]: Taking taylor expansion of 3/2 in x 4.989 * [backup-simplify]: Simplify 3/2 into 3/2 4.990 * [backup-simplify]: Simplify (- 1) into -1 4.990 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.991 * [backup-simplify]: Simplify (- 0) into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.993 * [backup-simplify]: Simplify (+ 0 1) into 1 4.994 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 4.996 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 4.997 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 4.998 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 4.999 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 5.000 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 5.001 * [backup-simplify]: Simplify (- -3/8) into 3/8 5.001 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 5.002 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.002 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 5.003 * [backup-simplify]: Simplify (+ 1 2) into 3 5.003 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 5.003 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 5.003 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 5.003 * [taylor]: Taking taylor expansion of 1 in x 5.003 * [backup-simplify]: Simplify 1 into 1 5.003 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 5.003 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 5.003 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.003 * [taylor]: Taking taylor expansion of 1/2 in x 5.003 * [backup-simplify]: Simplify 1/2 into 1/2 5.003 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.003 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.004 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.004 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.004 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.004 * [taylor]: Taking taylor expansion of 1 in x 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [taylor]: Taking taylor expansion of 1 in x 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [taylor]: Taking taylor expansion of (* x x) in x 5.004 * [taylor]: Taking taylor expansion of x in x 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [taylor]: Taking taylor expansion of x in x 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.004 * [backup-simplify]: Simplify (* 1 1) into 1 5.005 * [backup-simplify]: Simplify (* 0 0) into 0 5.005 * [backup-simplify]: Simplify (+ 1 0) into 1 5.006 * [backup-simplify]: Simplify (sqrt 1) into 1 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.008 * [backup-simplify]: Simplify (+ 0 0) into 0 5.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.009 * [backup-simplify]: Simplify (/ 1 1) into 1 5.009 * [taylor]: Taking taylor expansion of 1/2 in x 5.009 * [backup-simplify]: Simplify 1/2 into 1/2 5.009 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.010 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.010 * [backup-simplify]: Simplify (* 1 1) into 1 5.011 * [backup-simplify]: Simplify (* 1 1) into 1 5.011 * [backup-simplify]: Simplify (sqrt 1) into 1 5.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.013 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.015 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 5.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 5.015 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 5.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.015 * [taylor]: Taking taylor expansion of 1/2 in x 5.015 * [backup-simplify]: Simplify 1/2 into 1/2 5.015 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.015 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.015 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.015 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.015 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.015 * [taylor]: Taking taylor expansion of 1 in x 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [taylor]: Taking taylor expansion of 1 in x 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [taylor]: Taking taylor expansion of (* x x) in x 5.015 * [taylor]: Taking taylor expansion of x in x 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [taylor]: Taking taylor expansion of x in x 5.016 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify 1 into 1 5.016 * [backup-simplify]: Simplify (* 1 1) into 1 5.016 * [backup-simplify]: Simplify (* 0 0) into 0 5.017 * [backup-simplify]: Simplify (+ 1 0) into 1 5.017 * [backup-simplify]: Simplify (sqrt 1) into 1 5.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.018 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.019 * [backup-simplify]: Simplify (+ 0 0) into 0 5.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.020 * [backup-simplify]: Simplify (/ 1 1) into 1 5.020 * [taylor]: Taking taylor expansion of 1/2 in x 5.020 * [backup-simplify]: Simplify 1/2 into 1/2 5.020 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.021 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.021 * [backup-simplify]: Simplify (sqrt 1) into 1 5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.023 * [backup-simplify]: Simplify (+ 0 0) into 0 5.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 5.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 5.024 * [taylor]: Taking taylor expansion of 1/2 in x 5.024 * [backup-simplify]: Simplify 1/2 into 1/2 5.024 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 5.024 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 5.024 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 5.024 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 5.024 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.024 * [taylor]: Taking taylor expansion of 1 in x 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [taylor]: Taking taylor expansion of 1 in x 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [taylor]: Taking taylor expansion of (* x x) in x 5.024 * [taylor]: Taking taylor expansion of x in x 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [taylor]: Taking taylor expansion of x in x 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 1 into 1 5.024 * [backup-simplify]: Simplify (* 1 1) into 1 5.025 * [backup-simplify]: Simplify (* 0 0) into 0 5.025 * [backup-simplify]: Simplify (+ 1 0) into 1 5.026 * [backup-simplify]: Simplify (sqrt 1) into 1 5.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.027 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.027 * [backup-simplify]: Simplify (+ 0 0) into 0 5.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.028 * [backup-simplify]: Simplify (/ 1 1) into 1 5.028 * [taylor]: Taking taylor expansion of 3/2 in x 5.028 * [backup-simplify]: Simplify 3/2 into 3/2 5.029 * [backup-simplify]: Simplify (- 1) into -1 5.029 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.029 * [backup-simplify]: Simplify (- 0) into 0 5.030 * [backup-simplify]: Simplify (+ 0 0) into 0 5.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.032 * [backup-simplify]: Simplify (+ 0 1) into 1 5.033 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.035 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.035 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.036 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 5.037 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 5.041 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 5.042 * [backup-simplify]: Simplify (- -3/8) into 3/8 5.042 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 5.043 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.043 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 5.043 * [backup-simplify]: Simplify (+ 1 2) into 3 5.044 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 5.044 * [backup-simplify]: Simplify 1/8 into 1/8 5.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.047 * [backup-simplify]: Simplify (+ 0 0) into 0 5.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 5.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 5.055 * [backup-simplify]: Simplify (- 0) into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.058 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)))) into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.062 * [backup-simplify]: Simplify (+ 0 0) into 0 5.063 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.067 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.067 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.069 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 5.070 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 5.072 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 5.072 * [backup-simplify]: Simplify (- 39/128) into -39/128 5.073 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 5.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.075 * [backup-simplify]: Simplify (+ 0 1) into 1 5.076 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.078 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.079 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.080 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 5.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.082 * [backup-simplify]: Simplify (+ 0 1) into 1 5.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 5.085 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 5.085 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 5.086 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 5.087 * [backup-simplify]: Simplify (- (/ -39/128 3) (+ (* 1/8 (/ -3/8 3)) (* 0 (/ 0 3)))) into -11/128 5.087 * [backup-simplify]: Simplify -11/128 into -11/128 5.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 5.097 * [backup-simplify]: Simplify (+ 0 0) into 0 5.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 5.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.107 * [backup-simplify]: Simplify (+ 0 0) into 0 5.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.111 * [backup-simplify]: Simplify (+ 0 0) into 0 5.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.115 * [backup-simplify]: Simplify (+ 0 0) into 0 5.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 5.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 5.119 * [backup-simplify]: Simplify (+ 0 0) into 0 5.119 * [backup-simplify]: Simplify (+ 0 0) into 0 5.121 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)) (* 0 (/ -3/8 3)) (* -11/128 (/ 0 3)))) into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.124 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.129 * [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 5.131 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 5.132 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 5.134 * [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 5.137 * [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 5.139 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 5.139 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 5.139 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.141 * [backup-simplify]: Simplify (+ 0 0) into 0 5.142 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.144 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.144 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.145 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 5.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.146 * [backup-simplify]: Simplify (+ 0 0) into 0 5.147 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 5.150 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 5.150 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 5.151 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 5.153 * [backup-simplify]: Simplify (- (/ 275/1024 3) (+ (* 1/8 (/ 35/128 3)) (* 0 (/ 0 3)) (* -11/128 (/ -3/8 3)) (* 0 (/ 0 3)))) into 69/1024 5.153 * [backup-simplify]: Simplify 69/1024 into 69/1024 5.153 * [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))) 5.154 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) 5.154 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in (x) around 0 5.154 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in x 5.154 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.154 * [taylor]: Taking taylor expansion of 1 in x 5.154 * [backup-simplify]: Simplify 1 into 1 5.154 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.154 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.154 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.154 * [taylor]: Taking taylor expansion of 1/2 in x 5.154 * [backup-simplify]: Simplify 1/2 into 1/2 5.154 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.154 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.154 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.154 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.154 * [taylor]: Taking taylor expansion of 1 in x 5.154 * [backup-simplify]: Simplify 1 into 1 5.154 * [taylor]: Taking taylor expansion of 1 in x 5.154 * [backup-simplify]: Simplify 1 into 1 5.154 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.154 * [taylor]: Taking taylor expansion of x in x 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.155 * [taylor]: Taking taylor expansion of x in x 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (/ 1 1) into 1 5.156 * [backup-simplify]: Simplify (* 1 1) into 1 5.156 * [backup-simplify]: Simplify (+ 0 1) into 1 5.157 * [backup-simplify]: Simplify (sqrt 1) into 1 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [taylor]: Taking taylor expansion of 1/2 in x 5.161 * [backup-simplify]: Simplify 1/2 into 1/2 5.161 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.161 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.162 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.162 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.163 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.163 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.164 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.164 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.166 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.166 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 5.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.166 * [taylor]: Taking taylor expansion of 1/2 in x 5.166 * [backup-simplify]: Simplify 1/2 into 1/2 5.166 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.166 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.166 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.166 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.166 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.166 * [taylor]: Taking taylor expansion of 1 in x 5.166 * [backup-simplify]: Simplify 1 into 1 5.166 * [taylor]: Taking taylor expansion of 1 in x 5.166 * [backup-simplify]: Simplify 1 into 1 5.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.166 * [taylor]: Taking taylor expansion of x in x 5.166 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [backup-simplify]: Simplify (/ 1 1) into 1 5.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.167 * [taylor]: Taking taylor expansion of x in x 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [backup-simplify]: Simplify (/ 1 1) into 1 5.168 * [backup-simplify]: Simplify (* 1 1) into 1 5.168 * [backup-simplify]: Simplify (+ 0 1) into 1 5.168 * [backup-simplify]: Simplify (sqrt 1) into 1 5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.171 * [backup-simplify]: Simplify (+ 0 0) into 0 5.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.172 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [taylor]: Taking taylor expansion of 1/2 in x 5.172 * [backup-simplify]: Simplify 1/2 into 1/2 5.175 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.175 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.176 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.176 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.178 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.178 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 5.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.178 * [taylor]: Taking taylor expansion of 1/2 in x 5.178 * [backup-simplify]: Simplify 1/2 into 1/2 5.178 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.178 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.178 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.178 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.178 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.178 * [taylor]: Taking taylor expansion of 1 in x 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [taylor]: Taking taylor expansion of 1 in x 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.178 * [taylor]: Taking taylor expansion of x in x 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (/ 1 1) into 1 5.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.179 * [taylor]: Taking taylor expansion of x in x 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (/ 1 1) into 1 5.179 * [backup-simplify]: Simplify (* 1 1) into 1 5.180 * [backup-simplify]: Simplify (+ 0 1) into 1 5.180 * [backup-simplify]: Simplify (sqrt 1) into 1 5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.182 * [backup-simplify]: Simplify (+ 0 0) into 0 5.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.183 * [backup-simplify]: Simplify (/ 1 1) into 1 5.183 * [taylor]: Taking taylor expansion of 3/2 in x 5.183 * [backup-simplify]: Simplify 3/2 into 3/2 5.183 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.184 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.184 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 5.185 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 5.187 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.187 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2))) in x 5.187 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 5.187 * [taylor]: Taking taylor expansion of 1 in x 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 5.187 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 5.187 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.187 * [taylor]: Taking taylor expansion of 1/2 in x 5.187 * [backup-simplify]: Simplify 1/2 into 1/2 5.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.187 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.187 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.187 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.187 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.187 * [taylor]: Taking taylor expansion of 1 in x 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [taylor]: Taking taylor expansion of 1 in x 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.187 * [taylor]: Taking taylor expansion of x in x 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.188 * [backup-simplify]: Simplify (/ 1 1) into 1 5.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.188 * [taylor]: Taking taylor expansion of x in x 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [backup-simplify]: Simplify (/ 1 1) into 1 5.188 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (+ 0 1) into 1 5.189 * [backup-simplify]: Simplify (sqrt 1) into 1 5.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.190 * [backup-simplify]: Simplify (+ 0 0) into 0 5.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.191 * [backup-simplify]: Simplify (/ 1 1) into 1 5.191 * [taylor]: Taking taylor expansion of 1/2 in x 5.191 * [backup-simplify]: Simplify 1/2 into 1/2 5.191 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.192 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.192 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.192 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.192 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.193 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.193 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.193 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.194 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.194 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 5.194 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 5.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 5.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.194 * [taylor]: Taking taylor expansion of 1/2 in x 5.194 * [backup-simplify]: Simplify 1/2 into 1/2 5.195 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.195 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.195 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.195 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.195 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.195 * [taylor]: Taking taylor expansion of 1 in x 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [taylor]: Taking taylor expansion of 1 in x 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.195 * [taylor]: Taking taylor expansion of x in x 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [backup-simplify]: Simplify (/ 1 1) into 1 5.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.195 * [taylor]: Taking taylor expansion of x in x 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [backup-simplify]: Simplify (/ 1 1) into 1 5.196 * [backup-simplify]: Simplify (* 1 1) into 1 5.196 * [backup-simplify]: Simplify (+ 0 1) into 1 5.196 * [backup-simplify]: Simplify (sqrt 1) into 1 5.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.198 * [backup-simplify]: Simplify (+ 0 0) into 0 5.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.198 * [backup-simplify]: Simplify (/ 1 1) into 1 5.198 * [taylor]: Taking taylor expansion of 1/2 in x 5.198 * [backup-simplify]: Simplify 1/2 into 1/2 5.199 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.199 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.199 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.199 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.200 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.200 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 5.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 5.200 * [taylor]: Taking taylor expansion of 1/2 in x 5.200 * [backup-simplify]: Simplify 1/2 into 1/2 5.200 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 5.200 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 5.200 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 5.200 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 5.201 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.201 * [taylor]: Taking taylor expansion of 1 in x 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [taylor]: Taking taylor expansion of 1 in x 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.201 * [taylor]: Taking taylor expansion of x in x 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (/ 1 1) into 1 5.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.201 * [taylor]: Taking taylor expansion of x in x 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (/ 1 1) into 1 5.201 * [backup-simplify]: Simplify (* 1 1) into 1 5.202 * [backup-simplify]: Simplify (+ 0 1) into 1 5.202 * [backup-simplify]: Simplify (sqrt 1) into 1 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.204 * [backup-simplify]: Simplify (/ 1 1) into 1 5.204 * [taylor]: Taking taylor expansion of 3/2 in x 5.204 * [backup-simplify]: Simplify 3/2 into 3/2 5.205 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.206 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.206 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 5.207 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 5.209 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.211 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.213 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.217 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.217 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.218 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.219 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 5.242 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 5.265 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 5.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.267 * [backup-simplify]: Simplify (+ 0 0) into 0 5.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.268 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.272 * [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))) 5.285 * [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)))) 5.293 * [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)))) 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.295 * [backup-simplify]: Simplify (+ 0 0) into 0 5.298 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.300 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.384 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 5.570 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 5.774 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 x)) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (* 1/4 (/ (sqrt 1/8) (* x (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) 5.775 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) 5.775 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in (x) around 0 5.776 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in x 5.776 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 5.776 * [taylor]: Taking taylor expansion of 1 in x 5.776 * [backup-simplify]: Simplify 1 into 1 5.776 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.776 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.776 * [taylor]: Taking taylor expansion of 1/2 in x 5.776 * [backup-simplify]: Simplify 1/2 into 1/2 5.776 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.776 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.777 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.778 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.778 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.778 * [taylor]: Taking taylor expansion of 1 in x 5.778 * [backup-simplify]: Simplify 1 into 1 5.778 * [taylor]: Taking taylor expansion of 1 in x 5.778 * [backup-simplify]: Simplify 1 into 1 5.778 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.778 * [taylor]: Taking taylor expansion of -1 in x 5.778 * [backup-simplify]: Simplify -1 into -1 5.778 * [taylor]: Taking taylor expansion of x in x 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 1 into 1 5.779 * [backup-simplify]: Simplify (/ -1 1) into -1 5.779 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.779 * [taylor]: Taking taylor expansion of -1 in x 5.779 * [backup-simplify]: Simplify -1 into -1 5.779 * [taylor]: Taking taylor expansion of x in x 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.779 * [backup-simplify]: Simplify (/ -1 1) into -1 5.780 * [backup-simplify]: Simplify (* -1 -1) into 1 5.780 * [backup-simplify]: Simplify (+ 0 1) into 1 5.781 * [backup-simplify]: Simplify (sqrt 1) into 1 5.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.784 * [backup-simplify]: Simplify (+ 0 0) into 0 5.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.785 * [backup-simplify]: Simplify (/ 1 1) into 1 5.785 * [taylor]: Taking taylor expansion of 1/2 in x 5.785 * [backup-simplify]: Simplify 1/2 into 1/2 5.786 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.786 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.786 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.787 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.787 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.788 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.788 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.789 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.790 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.791 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 5.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.791 * [taylor]: Taking taylor expansion of 1/2 in x 5.791 * [backup-simplify]: Simplify 1/2 into 1/2 5.791 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.791 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.791 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.791 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.791 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.791 * [taylor]: Taking taylor expansion of 1 in x 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [taylor]: Taking taylor expansion of 1 in x 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.791 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.791 * [taylor]: Taking taylor expansion of -1 in x 5.791 * [backup-simplify]: Simplify -1 into -1 5.791 * [taylor]: Taking taylor expansion of x in x 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (/ -1 1) into -1 5.792 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.792 * [taylor]: Taking taylor expansion of -1 in x 5.792 * [backup-simplify]: Simplify -1 into -1 5.792 * [taylor]: Taking taylor expansion of x in x 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (/ -1 1) into -1 5.793 * [backup-simplify]: Simplify (* -1 -1) into 1 5.793 * [backup-simplify]: Simplify (+ 0 1) into 1 5.794 * [backup-simplify]: Simplify (sqrt 1) into 1 5.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.796 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.796 * [backup-simplify]: Simplify (+ 0 0) into 0 5.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.797 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 5.797 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.797 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.797 * [taylor]: Taking taylor expansion of 1/2 in x 5.797 * [backup-simplify]: Simplify 1/2 into 1/2 5.797 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.798 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.798 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.798 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.798 * [taylor]: Taking taylor expansion of 1 in x 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of 1 in x 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.798 * [taylor]: Taking taylor expansion of -1 in x 5.798 * [backup-simplify]: Simplify -1 into -1 5.798 * [taylor]: Taking taylor expansion of x in x 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [backup-simplify]: Simplify (/ -1 1) into -1 5.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.798 * [taylor]: Taking taylor expansion of -1 in x 5.798 * [backup-simplify]: Simplify -1 into -1 5.798 * [taylor]: Taking taylor expansion of x in x 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.799 * [backup-simplify]: Simplify (/ -1 1) into -1 5.799 * [backup-simplify]: Simplify (* -1 -1) into 1 5.800 * [backup-simplify]: Simplify (+ 0 1) into 1 5.800 * [backup-simplify]: Simplify (sqrt 1) into 1 5.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.803 * [backup-simplify]: Simplify (+ 0 0) into 0 5.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.804 * [backup-simplify]: Simplify (/ 1 1) into 1 5.804 * [taylor]: Taking taylor expansion of 1/2 in x 5.804 * [backup-simplify]: Simplify 1/2 into 1/2 5.804 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.805 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.805 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.806 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.807 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.807 * [taylor]: Taking taylor expansion of 3/2 in x 5.807 * [backup-simplify]: Simplify 3/2 into 3/2 5.808 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.809 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.810 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 5.812 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 5.815 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.815 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2))) in x 5.815 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 5.815 * [taylor]: Taking taylor expansion of 1 in x 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 5.815 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 5.815 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.815 * [taylor]: Taking taylor expansion of 1/2 in x 5.815 * [backup-simplify]: Simplify 1/2 into 1/2 5.815 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.815 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.815 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.815 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.815 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.815 * [taylor]: Taking taylor expansion of 1 in x 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [taylor]: Taking taylor expansion of 1 in x 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.815 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.815 * [taylor]: Taking taylor expansion of -1 in x 5.816 * [backup-simplify]: Simplify -1 into -1 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [backup-simplify]: Simplify (/ -1 1) into -1 5.816 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.816 * [taylor]: Taking taylor expansion of -1 in x 5.816 * [backup-simplify]: Simplify -1 into -1 5.816 * [taylor]: Taking taylor expansion of x in x 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (/ -1 1) into -1 5.817 * [backup-simplify]: Simplify (* -1 -1) into 1 5.817 * [backup-simplify]: Simplify (+ 0 1) into 1 5.818 * [backup-simplify]: Simplify (sqrt 1) into 1 5.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.820 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.820 * [backup-simplify]: Simplify (+ 0 0) into 0 5.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.821 * [backup-simplify]: Simplify (/ 1 1) into 1 5.821 * [taylor]: Taking taylor expansion of 1/2 in x 5.821 * [backup-simplify]: Simplify 1/2 into 1/2 5.822 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.822 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.823 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 5.823 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 5.824 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.824 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.824 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 5.825 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 5.827 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 5.827 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 5.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.827 * [taylor]: Taking taylor expansion of 1/2 in x 5.827 * [backup-simplify]: Simplify 1/2 into 1/2 5.827 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.827 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.827 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.827 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.827 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.827 * [taylor]: Taking taylor expansion of 1 in x 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [taylor]: Taking taylor expansion of 1 in x 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.827 * [taylor]: Taking taylor expansion of -1 in x 5.827 * [backup-simplify]: Simplify -1 into -1 5.827 * [taylor]: Taking taylor expansion of x in x 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [backup-simplify]: Simplify (/ -1 1) into -1 5.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.828 * [taylor]: Taking taylor expansion of -1 in x 5.828 * [backup-simplify]: Simplify -1 into -1 5.828 * [taylor]: Taking taylor expansion of x in x 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (/ -1 1) into -1 5.829 * [backup-simplify]: Simplify (* -1 -1) into 1 5.830 * [backup-simplify]: Simplify (+ 0 1) into 1 5.830 * [backup-simplify]: Simplify (sqrt 1) into 1 5.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.833 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.833 * [backup-simplify]: Simplify (+ 0 0) into 0 5.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.834 * [backup-simplify]: Simplify (/ 1 1) into 1 5.834 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 5.834 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 5.834 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 5.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 5.834 * [taylor]: Taking taylor expansion of 1/2 in x 5.834 * [backup-simplify]: Simplify 1/2 into 1/2 5.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 5.834 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 5.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 5.834 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 5.834 * [taylor]: Taking taylor expansion of (* 1 1) in x 5.835 * [taylor]: Taking taylor expansion of 1 in x 5.835 * [backup-simplify]: Simplify 1 into 1 5.835 * [taylor]: Taking taylor expansion of 1 in x 5.835 * [backup-simplify]: Simplify 1 into 1 5.835 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.835 * [taylor]: Taking taylor expansion of -1 in x 5.835 * [backup-simplify]: Simplify -1 into -1 5.835 * [taylor]: Taking taylor expansion of x in x 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 1 into 1 5.835 * [backup-simplify]: Simplify (/ -1 1) into -1 5.835 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.835 * [taylor]: Taking taylor expansion of -1 in x 5.835 * [backup-simplify]: Simplify -1 into -1 5.835 * [taylor]: Taking taylor expansion of x in x 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 1 into 1 5.836 * [backup-simplify]: Simplify (/ -1 1) into -1 5.836 * [backup-simplify]: Simplify (* -1 -1) into 1 5.837 * [backup-simplify]: Simplify (+ 0 1) into 1 5.837 * [backup-simplify]: Simplify (sqrt 1) into 1 5.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.840 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.840 * [backup-simplify]: Simplify (+ 0 0) into 0 5.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.841 * [backup-simplify]: Simplify (/ 1 1) into 1 5.841 * [taylor]: Taking taylor expansion of 1/2 in x 5.841 * [backup-simplify]: Simplify 1/2 into 1/2 5.841 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.842 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.844 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.844 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.845 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 5.845 * [taylor]: Taking taylor expansion of 3/2 in x 5.845 * [backup-simplify]: Simplify 3/2 into 3/2 5.846 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 5.847 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 5.847 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 5.848 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 5.850 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.852 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 5.853 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.855 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 5.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.856 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 5.858 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 5.871 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 5.900 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.902 * [backup-simplify]: Simplify (+ 0 0) into 0 5.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 5.903 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 5.906 * [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))) 5.912 * [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)))) 5.916 * [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)))) 5.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.919 * [backup-simplify]: Simplify (+ 0 0) into 0 5.925 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 5.928 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 5.933 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.006 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 6.145 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 6.305 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 (- x))) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) 6.305 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 6.305 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 6.305 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 6.305 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 6.306 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 6.306 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.306 * [taylor]: Taking taylor expansion of 1/2 in x 6.306 * [backup-simplify]: Simplify 1/2 into 1/2 6.306 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.306 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.306 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.306 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.306 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.306 * [taylor]: Taking taylor expansion of 1 in x 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [taylor]: Taking taylor expansion of 1 in x 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [taylor]: Taking taylor expansion of (* x x) in x 6.306 * [taylor]: Taking taylor expansion of x in x 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [taylor]: Taking taylor expansion of x in x 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [backup-simplify]: Simplify (* 1 1) into 1 6.306 * [backup-simplify]: Simplify (* 0 0) into 0 6.307 * [backup-simplify]: Simplify (+ 1 0) into 1 6.307 * [backup-simplify]: Simplify (sqrt 1) into 1 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.308 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.308 * [backup-simplify]: Simplify (+ 0 0) into 0 6.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.309 * [backup-simplify]: Simplify (/ 1 1) into 1 6.309 * [taylor]: Taking taylor expansion of 1/2 in x 6.309 * [backup-simplify]: Simplify 1/2 into 1/2 6.309 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.309 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.309 * [backup-simplify]: Simplify (* 1 1) into 1 6.310 * [backup-simplify]: Simplify (* 1 1) into 1 6.310 * [backup-simplify]: Simplify (sqrt 1) into 1 6.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.312 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 6.312 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 6.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.312 * [taylor]: Taking taylor expansion of 1/2 in x 6.312 * [backup-simplify]: Simplify 1/2 into 1/2 6.312 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.312 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.312 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.312 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.312 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.312 * [taylor]: Taking taylor expansion of 1 in x 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [taylor]: Taking taylor expansion of 1 in x 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [taylor]: Taking taylor expansion of (* x x) in x 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (* 1 1) into 1 6.313 * [backup-simplify]: Simplify (* 0 0) into 0 6.313 * [backup-simplify]: Simplify (+ 1 0) into 1 6.314 * [backup-simplify]: Simplify (sqrt 1) into 1 6.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.314 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.315 * [backup-simplify]: Simplify (+ 0 0) into 0 6.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [taylor]: Taking taylor expansion of 1/2 in x 6.315 * [backup-simplify]: Simplify 1/2 into 1/2 6.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.316 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.316 * [backup-simplify]: Simplify (* 1 1) into 1 6.316 * [backup-simplify]: Simplify (* 1 1) into 1 6.316 * [backup-simplify]: Simplify (sqrt 1) into 1 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.318 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.320 * [backup-simplify]: Simplify (+ 0 1) into 1 6.321 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.322 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.322 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.323 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 6.323 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 6.324 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 6.324 * [backup-simplify]: Simplify -3/8 into -3/8 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.326 * [backup-simplify]: Simplify (+ 0 0) into 0 6.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 6.331 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.335 * [backup-simplify]: Simplify (+ 0 0) into 0 6.336 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.339 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.339 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.341 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 6.342 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 6.344 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 6.344 * [backup-simplify]: Simplify 39/128 into 39/128 6.344 * [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))) 6.345 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 6.345 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 6.345 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 6.345 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 6.345 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.345 * [taylor]: Taking taylor expansion of 1/2 in x 6.345 * [backup-simplify]: Simplify 1/2 into 1/2 6.345 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.345 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.345 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.345 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.345 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.345 * [taylor]: Taking taylor expansion of 1 in x 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [taylor]: Taking taylor expansion of 1 in x 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.345 * [taylor]: Taking taylor expansion of x in x 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (/ 1 1) into 1 6.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.345 * [taylor]: Taking taylor expansion of x in x 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (/ 1 1) into 1 6.346 * [backup-simplify]: Simplify (* 1 1) into 1 6.346 * [backup-simplify]: Simplify (+ 0 1) into 1 6.346 * [backup-simplify]: Simplify (sqrt 1) into 1 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [taylor]: Taking taylor expansion of 1/2 in x 6.349 * [backup-simplify]: Simplify 1/2 into 1/2 6.349 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.349 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.349 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.350 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.350 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.350 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.351 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.351 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.352 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.352 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 6.352 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 6.352 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.352 * [taylor]: Taking taylor expansion of 1/2 in x 6.352 * [backup-simplify]: Simplify 1/2 into 1/2 6.352 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.352 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.352 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.352 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.352 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.352 * [taylor]: Taking taylor expansion of 1 in x 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [taylor]: Taking taylor expansion of 1 in x 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.352 * [taylor]: Taking taylor expansion of x in x 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.353 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [backup-simplify]: Simplify (* 1 1) into 1 6.353 * [backup-simplify]: Simplify (+ 0 1) into 1 6.354 * [backup-simplify]: Simplify (sqrt 1) into 1 6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.355 * [backup-simplify]: Simplify (+ 0 0) into 0 6.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of 1/2 in x 6.356 * [backup-simplify]: Simplify 1/2 into 1/2 6.356 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.356 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.357 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.357 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.357 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.357 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.358 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.358 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.359 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.359 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.360 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 6.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.361 * [backup-simplify]: Simplify (+ 0 0) into 0 6.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 6.362 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 6.365 * [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))) 6.369 * [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))) 6.379 * [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))))) 6.380 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 6.380 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 6.380 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 6.380 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 6.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.380 * [taylor]: Taking taylor expansion of 1/2 in x 6.380 * [backup-simplify]: Simplify 1/2 into 1/2 6.380 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.380 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.380 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.380 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.380 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.380 * [taylor]: Taking taylor expansion of 1 in x 6.380 * [backup-simplify]: Simplify 1 into 1 6.380 * [taylor]: Taking taylor expansion of 1 in x 6.380 * [backup-simplify]: Simplify 1 into 1 6.380 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.380 * [taylor]: Taking taylor expansion of -1 in x 6.380 * [backup-simplify]: Simplify -1 into -1 6.380 * [taylor]: Taking taylor expansion of x in x 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify (/ -1 1) into -1 6.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.381 * [taylor]: Taking taylor expansion of -1 in x 6.381 * [backup-simplify]: Simplify -1 into -1 6.381 * [taylor]: Taking taylor expansion of x in x 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [backup-simplify]: Simplify (/ -1 1) into -1 6.381 * [backup-simplify]: Simplify (* -1 -1) into 1 6.381 * [backup-simplify]: Simplify (+ 0 1) into 1 6.382 * [backup-simplify]: Simplify (sqrt 1) into 1 6.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.383 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.383 * [backup-simplify]: Simplify (+ 0 0) into 0 6.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.384 * [backup-simplify]: Simplify (/ 1 1) into 1 6.384 * [taylor]: Taking taylor expansion of 1/2 in x 6.384 * [backup-simplify]: Simplify 1/2 into 1/2 6.384 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.384 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.385 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.385 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.385 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.386 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.386 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.386 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.387 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.387 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 6.387 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 6.387 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.387 * [taylor]: Taking taylor expansion of 1/2 in x 6.387 * [backup-simplify]: Simplify 1/2 into 1/2 6.387 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.387 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.387 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.387 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.387 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.387 * [taylor]: Taking taylor expansion of 1 in x 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [taylor]: Taking taylor expansion of 1 in x 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.388 * [taylor]: Taking taylor expansion of -1 in x 6.388 * [backup-simplify]: Simplify -1 into -1 6.388 * [taylor]: Taking taylor expansion of x in x 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (/ -1 1) into -1 6.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.388 * [taylor]: Taking taylor expansion of -1 in x 6.388 * [backup-simplify]: Simplify -1 into -1 6.388 * [taylor]: Taking taylor expansion of x in x 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (/ -1 1) into -1 6.388 * [backup-simplify]: Simplify (* -1 -1) into 1 6.389 * [backup-simplify]: Simplify (+ 0 1) into 1 6.389 * [backup-simplify]: Simplify (sqrt 1) into 1 6.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.391 * [backup-simplify]: Simplify (+ 0 0) into 0 6.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.391 * [backup-simplify]: Simplify (/ 1 1) into 1 6.391 * [taylor]: Taking taylor expansion of 1/2 in x 6.391 * [backup-simplify]: Simplify 1/2 into 1/2 6.392 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.392 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.392 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 6.392 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.393 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.393 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.393 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 6.394 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 6.395 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 6.395 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 6.396 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.397 * [backup-simplify]: Simplify (+ 0 0) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 6.398 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 6.401 * [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))) 6.408 * [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))) 6.415 * [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)))))) 6.416 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 6.416 * [backup-simplify]: Simplify (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) 6.416 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in (x) around 0 6.416 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 6.416 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.416 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.416 * [taylor]: Taking taylor expansion of 1/2 in x 6.416 * [backup-simplify]: Simplify 1/2 into 1/2 6.416 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.416 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.416 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.416 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.416 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.416 * [taylor]: Taking taylor expansion of 1 in x 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [taylor]: Taking taylor expansion of 1 in x 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [taylor]: Taking taylor expansion of (* x x) in x 6.416 * [taylor]: Taking taylor expansion of x in x 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [taylor]: Taking taylor expansion of x in x 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (* 1 1) into 1 6.417 * [backup-simplify]: Simplify (* 0 0) into 0 6.418 * [backup-simplify]: Simplify (+ 1 0) into 1 6.418 * [backup-simplify]: Simplify (sqrt 1) into 1 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.419 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.419 * [backup-simplify]: Simplify (+ 0 0) into 0 6.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [taylor]: Taking taylor expansion of 1/2 in x 6.420 * [backup-simplify]: Simplify 1/2 into 1/2 6.421 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.421 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.422 * [backup-simplify]: Simplify (sqrt 1) into 1 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.423 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.424 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 6.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.424 * [taylor]: Taking taylor expansion of 1/2 in x 6.424 * [backup-simplify]: Simplify 1/2 into 1/2 6.424 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.424 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.424 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.424 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.424 * [taylor]: Taking taylor expansion of 1 in x 6.424 * [backup-simplify]: Simplify 1 into 1 6.424 * [taylor]: Taking taylor expansion of 1 in x 6.424 * [backup-simplify]: Simplify 1 into 1 6.424 * [taylor]: Taking taylor expansion of (* x x) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 1 into 1 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 1 into 1 6.425 * [backup-simplify]: Simplify (* 1 1) into 1 6.425 * [backup-simplify]: Simplify (* 0 0) into 0 6.426 * [backup-simplify]: Simplify (+ 1 0) into 1 6.426 * [backup-simplify]: Simplify (sqrt 1) into 1 6.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.428 * [backup-simplify]: Simplify (/ 1 1) into 1 6.428 * [taylor]: Taking taylor expansion of 3/2 in x 6.428 * [backup-simplify]: Simplify 3/2 into 3/2 6.428 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 6.428 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.428 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.429 * [taylor]: Taking taylor expansion of 1/2 in x 6.429 * [backup-simplify]: Simplify 1/2 into 1/2 6.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.429 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.429 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.429 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.429 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.429 * [taylor]: Taking taylor expansion of 1 in x 6.429 * [backup-simplify]: Simplify 1 into 1 6.429 * [taylor]: Taking taylor expansion of 1 in x 6.429 * [backup-simplify]: Simplify 1 into 1 6.429 * [taylor]: Taking taylor expansion of (* x x) in x 6.429 * [taylor]: Taking taylor expansion of x in x 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 1 into 1 6.429 * [taylor]: Taking taylor expansion of x in x 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 1 into 1 6.429 * [backup-simplify]: Simplify (* 1 1) into 1 6.430 * [backup-simplify]: Simplify (* 0 0) into 0 6.430 * [backup-simplify]: Simplify (+ 1 0) into 1 6.430 * [backup-simplify]: Simplify (sqrt 1) into 1 6.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.431 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.432 * [backup-simplify]: Simplify (+ 0 0) into 0 6.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.433 * [backup-simplify]: Simplify (/ 1 1) into 1 6.433 * [taylor]: Taking taylor expansion of 1/2 in x 6.433 * [backup-simplify]: Simplify 1/2 into 1/2 6.433 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.433 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.434 * [backup-simplify]: Simplify (sqrt 1) into 1 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.435 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.436 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 6.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.436 * [taylor]: Taking taylor expansion of 1/2 in x 6.436 * [backup-simplify]: Simplify 1/2 into 1/2 6.436 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.436 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.436 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.436 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.436 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.436 * [taylor]: Taking taylor expansion of 1 in x 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of 1 in x 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of (* x x) in x 6.436 * [taylor]: Taking taylor expansion of x in x 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.436 * [taylor]: Taking taylor expansion of x in x 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.437 * [backup-simplify]: Simplify (* 1 1) into 1 6.437 * [backup-simplify]: Simplify (* 0 0) into 0 6.437 * [backup-simplify]: Simplify (+ 1 0) into 1 6.438 * [backup-simplify]: Simplify (sqrt 1) into 1 6.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.439 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.440 * [backup-simplify]: Simplify (/ 1 1) into 1 6.440 * [taylor]: Taking taylor expansion of 3/2 in x 6.440 * [backup-simplify]: Simplify 3/2 into 3/2 6.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.441 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 6.441 * [backup-simplify]: Simplify (+ 1 2) into 3 6.441 * [backup-simplify]: Simplify 3 into 3 6.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.443 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.445 * [backup-simplify]: Simplify (+ 0 1) into 1 6.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.448 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.448 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.449 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.451 * [backup-simplify]: Simplify (+ 0 1) into 1 6.452 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.454 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.454 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.455 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 6.455 * [backup-simplify]: Simplify -3/8 into -3/8 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (+ 0 0) into 0 6.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 6.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.471 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.479 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.479 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.480 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.482 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.484 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.485 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.485 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 6.485 * [backup-simplify]: Simplify 35/128 into 35/128 6.485 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 4)) (+ (* -3/8 (pow x 2)) 3)) into (- (+ (* 35/128 (pow x 4)) 3) (* 3/8 (pow x 2))) 6.485 * [backup-simplify]: Simplify (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) 6.485 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in (x) around 0 6.485 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 6.485 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.485 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.485 * [taylor]: Taking taylor expansion of 1/2 in x 6.485 * [backup-simplify]: Simplify 1/2 into 1/2 6.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.486 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.486 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.486 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.486 * [taylor]: Taking taylor expansion of 1 in x 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [taylor]: Taking taylor expansion of 1 in x 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.486 * [taylor]: Taking taylor expansion of x in x 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (/ 1 1) into 1 6.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.486 * [taylor]: Taking taylor expansion of x in x 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (/ 1 1) into 1 6.487 * [backup-simplify]: Simplify (* 1 1) into 1 6.487 * [backup-simplify]: Simplify (+ 0 1) into 1 6.487 * [backup-simplify]: Simplify (sqrt 1) into 1 6.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.493 * [backup-simplify]: Simplify (+ 0 0) into 0 6.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.493 * [backup-simplify]: Simplify (/ 1 1) into 1 6.493 * [taylor]: Taking taylor expansion of 1/2 in x 6.493 * [backup-simplify]: Simplify 1/2 into 1/2 6.494 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.494 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.494 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.495 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.496 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.496 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 6.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.496 * [taylor]: Taking taylor expansion of 1/2 in x 6.496 * [backup-simplify]: Simplify 1/2 into 1/2 6.496 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.496 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.496 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.496 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.496 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.496 * [taylor]: Taking taylor expansion of 1 in x 6.496 * [backup-simplify]: Simplify 1 into 1 6.496 * [taylor]: Taking taylor expansion of 1 in x 6.496 * [backup-simplify]: Simplify 1 into 1 6.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.496 * [taylor]: Taking taylor expansion of x in x 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 1 into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.496 * [taylor]: Taking taylor expansion of x in x 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 1 into 1 6.497 * [backup-simplify]: Simplify (/ 1 1) into 1 6.497 * [backup-simplify]: Simplify (* 1 1) into 1 6.497 * [backup-simplify]: Simplify (+ 0 1) into 1 6.497 * [backup-simplify]: Simplify (sqrt 1) into 1 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.500 * [backup-simplify]: Simplify (/ 1 1) into 1 6.500 * [taylor]: Taking taylor expansion of 3/2 in x 6.500 * [backup-simplify]: Simplify 3/2 into 3/2 6.500 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2)) in x 6.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.500 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.500 * [taylor]: Taking taylor expansion of 1/2 in x 6.500 * [backup-simplify]: Simplify 1/2 into 1/2 6.500 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.500 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.500 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.500 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.500 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.500 * [taylor]: Taking taylor expansion of 1 in x 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of 1 in x 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.500 * [taylor]: Taking taylor expansion of x in x 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [backup-simplify]: Simplify (/ 1 1) into 1 6.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.500 * [taylor]: Taking taylor expansion of x in x 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (/ 1 1) into 1 6.501 * [backup-simplify]: Simplify (* 1 1) into 1 6.501 * [backup-simplify]: Simplify (+ 0 1) into 1 6.501 * [backup-simplify]: Simplify (sqrt 1) into 1 6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.503 * [backup-simplify]: Simplify (+ 0 0) into 0 6.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.504 * [backup-simplify]: Simplify (/ 1 1) into 1 6.504 * [taylor]: Taking taylor expansion of 1/2 in x 6.504 * [backup-simplify]: Simplify 1/2 into 1/2 6.504 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.504 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.504 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.505 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.506 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 3/2) in x 6.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.506 * [taylor]: Taking taylor expansion of 1/2 in x 6.506 * [backup-simplify]: Simplify 1/2 into 1/2 6.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.506 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.506 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.506 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.506 * [taylor]: Taking taylor expansion of 1 in x 6.506 * [backup-simplify]: Simplify 1 into 1 6.506 * [taylor]: Taking taylor expansion of 1 in x 6.506 * [backup-simplify]: Simplify 1 into 1 6.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.506 * [taylor]: Taking taylor expansion of x in x 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 1 into 1 6.507 * [backup-simplify]: Simplify (/ 1 1) into 1 6.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.507 * [taylor]: Taking taylor expansion of x in x 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 1 into 1 6.507 * [backup-simplify]: Simplify (/ 1 1) into 1 6.508 * [backup-simplify]: Simplify (* 1 1) into 1 6.508 * [backup-simplify]: Simplify (+ 0 1) into 1 6.508 * [backup-simplify]: Simplify (sqrt 1) into 1 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.511 * [backup-simplify]: Simplify (+ 0 0) into 0 6.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.512 * [backup-simplify]: Simplify (/ 1 1) into 1 6.512 * [taylor]: Taking taylor expansion of 3/2 in x 6.512 * [backup-simplify]: Simplify 3/2 into 3/2 6.512 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 6.513 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.514 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.515 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.516 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.519 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.520 * [backup-simplify]: Simplify (+ 0 0) into 0 6.524 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.525 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.529 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.533 * [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) 3/2))) into (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 3/2))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 6.533 * [backup-simplify]: Simplify (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) 6.533 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in (x) around 0 6.534 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 6.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.534 * [taylor]: Taking taylor expansion of 1/2 in x 6.534 * [backup-simplify]: Simplify 1/2 into 1/2 6.534 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.534 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.534 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.534 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.534 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.534 * [taylor]: Taking taylor expansion of 1 in x 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [taylor]: Taking taylor expansion of 1 in x 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.534 * [taylor]: Taking taylor expansion of -1 in x 6.534 * [backup-simplify]: Simplify -1 into -1 6.534 * [taylor]: Taking taylor expansion of x in x 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify (/ -1 1) into -1 6.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.534 * [taylor]: Taking taylor expansion of -1 in x 6.534 * [backup-simplify]: Simplify -1 into -1 6.534 * [taylor]: Taking taylor expansion of x in x 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (/ -1 1) into -1 6.535 * [backup-simplify]: Simplify (* -1 -1) into 1 6.535 * [backup-simplify]: Simplify (+ 0 1) into 1 6.535 * [backup-simplify]: Simplify (sqrt 1) into 1 6.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.537 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.537 * [backup-simplify]: Simplify (+ 0 0) into 0 6.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.538 * [backup-simplify]: Simplify (/ 1 1) into 1 6.538 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 6.538 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.538 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.538 * [taylor]: Taking taylor expansion of 1/2 in x 6.538 * [backup-simplify]: Simplify 1/2 into 1/2 6.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.538 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.538 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.538 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.538 * [taylor]: Taking taylor expansion of 1 in x 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [taylor]: Taking taylor expansion of 1 in x 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.538 * [taylor]: Taking taylor expansion of -1 in x 6.538 * [backup-simplify]: Simplify -1 into -1 6.538 * [taylor]: Taking taylor expansion of x in x 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (/ -1 1) into -1 6.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.538 * [taylor]: Taking taylor expansion of -1 in x 6.538 * [backup-simplify]: Simplify -1 into -1 6.538 * [taylor]: Taking taylor expansion of x in x 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (/ -1 1) into -1 6.539 * [backup-simplify]: Simplify (* -1 -1) into 1 6.539 * [backup-simplify]: Simplify (+ 0 1) into 1 6.539 * [backup-simplify]: Simplify (sqrt 1) into 1 6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.541 * [backup-simplify]: Simplify (+ 0 0) into 0 6.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.542 * [backup-simplify]: Simplify (/ 1 1) into 1 6.542 * [taylor]: Taking taylor expansion of 1/2 in x 6.542 * [backup-simplify]: Simplify 1/2 into 1/2 6.542 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.542 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.543 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.543 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.544 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.544 * [taylor]: Taking taylor expansion of 3/2 in x 6.544 * [backup-simplify]: Simplify 3/2 into 3/2 6.544 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2)) in x 6.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.544 * [taylor]: Taking taylor expansion of 1/2 in x 6.544 * [backup-simplify]: Simplify 1/2 into 1/2 6.544 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.544 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.544 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.544 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.544 * [taylor]: Taking taylor expansion of 1 in x 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [taylor]: Taking taylor expansion of 1 in x 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.544 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.544 * [taylor]: Taking taylor expansion of -1 in x 6.544 * [backup-simplify]: Simplify -1 into -1 6.544 * [taylor]: Taking taylor expansion of x in x 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.545 * [backup-simplify]: Simplify (/ -1 1) into -1 6.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.545 * [taylor]: Taking taylor expansion of -1 in x 6.545 * [backup-simplify]: Simplify -1 into -1 6.545 * [taylor]: Taking taylor expansion of x in x 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 1 into 1 6.545 * [backup-simplify]: Simplify (/ -1 1) into -1 6.545 * [backup-simplify]: Simplify (* -1 -1) into 1 6.546 * [backup-simplify]: Simplify (+ 0 1) into 1 6.546 * [backup-simplify]: Simplify (sqrt 1) into 1 6.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.548 * [backup-simplify]: Simplify (+ 0 0) into 0 6.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.548 * [backup-simplify]: Simplify (/ 1 1) into 1 6.548 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 3/2) in x 6.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.548 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.548 * [taylor]: Taking taylor expansion of 1/2 in x 6.548 * [backup-simplify]: Simplify 1/2 into 1/2 6.548 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.548 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.548 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.548 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.549 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.549 * [taylor]: Taking taylor expansion of 1 in x 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [taylor]: Taking taylor expansion of 1 in x 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.549 * [taylor]: Taking taylor expansion of -1 in x 6.549 * [backup-simplify]: Simplify -1 into -1 6.549 * [taylor]: Taking taylor expansion of x in x 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [backup-simplify]: Simplify (/ -1 1) into -1 6.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.549 * [taylor]: Taking taylor expansion of -1 in x 6.549 * [backup-simplify]: Simplify -1 into -1 6.549 * [taylor]: Taking taylor expansion of x in x 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [backup-simplify]: Simplify (/ -1 1) into -1 6.550 * [backup-simplify]: Simplify (* -1 -1) into 1 6.550 * [backup-simplify]: Simplify (+ 0 1) into 1 6.551 * [backup-simplify]: Simplify (sqrt 1) into 1 6.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.553 * [backup-simplify]: Simplify (+ 0 0) into 0 6.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.554 * [backup-simplify]: Simplify (/ 1 1) into 1 6.554 * [taylor]: Taking taylor expansion of 1/2 in x 6.554 * [backup-simplify]: Simplify 1/2 into 1/2 6.555 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.555 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.556 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.557 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.557 * [taylor]: Taking taylor expansion of 3/2 in x 6.557 * [backup-simplify]: Simplify 3/2 into 3/2 6.558 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.560 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 6.561 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 6.561 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.562 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 6.565 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.567 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.570 * [backup-simplify]: Simplify (+ 0 0) into 0 6.575 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.578 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.583 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.586 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.592 * [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) 3/2))) into (- (+ (sqrt 1/2) 3/2) (+ (* 1/2 (/ 1 x)) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) 6.593 * * * [progress]: simplifying candidates 6.593 * * * * [progress]: [ 1 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 2 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 3 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 4 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 5 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 6 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 7 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 8 / 165 ] simplifiying candidate # 6.593 * * * * [progress]: [ 9 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 10 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 11 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 12 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 13 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 14 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 15 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 16 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 17 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 18 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 19 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 20 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 21 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 22 / 165 ] simplifiying candidate # 6.594 * * * * [progress]: [ 23 / 165 ] simplifiying candidate #real (real->posit16 (- 1 (* (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))))))> 6.594 * * * * [progress]: [ 24 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 25 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 26 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 27 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 28 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 29 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 30 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 31 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 32 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 33 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 34 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 35 / 165 ] simplifiying candidate # 6.595 * * * * [progress]: [ 36 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 37 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 38 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 39 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 40 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 41 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 42 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 43 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 44 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 45 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 46 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 47 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 48 / 165 ] simplifiying candidate # 6.596 * * * * [progress]: [ 49 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 50 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 51 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 52 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 53 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 54 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 55 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 56 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 57 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 58 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 59 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 60 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 61 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 62 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 63 / 165 ] simplifiying candidate # 6.597 * * * * [progress]: [ 64 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 65 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 66 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 67 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 68 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 69 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 70 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 71 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 72 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 73 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 74 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 75 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 76 / 165 ] simplifiying candidate # 6.598 * * * * [progress]: [ 77 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 78 / 165 ] simplifiying candidate #real (real->posit16 (/ (- 1 (* (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))))))))> 6.599 * * * * [progress]: [ 79 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 80 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 81 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 82 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 83 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 84 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 85 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 86 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 87 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 88 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 89 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 90 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 91 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 92 / 165 ] simplifiying candidate # 6.599 * * * * [progress]: [ 93 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 94 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 95 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 96 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 97 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 98 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 99 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 100 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 101 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 102 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 103 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 104 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 105 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 106 / 165 ] simplifiying candidate # 6.600 * * * * [progress]: [ 107 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 108 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 109 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 110 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 111 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 112 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 113 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 114 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 115 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 116 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 117 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 118 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 119 / 165 ] simplifiying candidate #real (real->posit16 (* (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))))))> 6.601 * * * * [progress]: [ 120 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 121 / 165 ] simplifiying candidate # 6.601 * * * * [progress]: [ 122 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 123 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 124 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 125 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 126 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 127 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 128 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 129 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 130 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 131 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 132 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 133 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 134 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 135 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 136 / 165 ] simplifiying candidate # 6.602 * * * * [progress]: [ 137 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 138 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 139 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 140 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 141 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 142 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 143 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 144 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 145 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 146 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 147 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 148 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 149 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 150 / 165 ] simplifiying candidate # 6.603 * * * * [progress]: [ 151 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 152 / 165 ] simplifiying candidate #real (real->posit16 (+ (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 6.604 * * * * [progress]: [ 153 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 154 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 155 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 156 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 157 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 158 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 159 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 160 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 161 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 162 / 165 ] simplifiying candidate # 6.604 * * * * [progress]: [ 163 / 165 ] simplifiying candidate # 6.605 * * * * [progress]: [ 164 / 165 ] simplifiying candidate # 6.605 * * * * [progress]: [ 165 / 165 ] simplifiying candidate # 6.615 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 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)))))) (fma (sqrt 1) (sqrt 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)))))) (fma 1 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 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (* (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))))) (/ (exp 1) (exp (* 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1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) (- (+ (* 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)) 3) (* 3/8 (pow x 2))) (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 3/2))) (* 1/32 (/ 1 (* (pow x 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(sqrt 1/2) (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2)))))) (/ 1/16 (* (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) 1/2))) (+ (+ (/ (/ 1/4 (* (sqrt 1/2) x)) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2)))) (/ (/ 3/16 (* (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) x)) (+ (/ (/ 1/32 (* (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))) (* 1/2 (sqrt 1/2)))) (* x x)) (/ (/ 9/512 (* x x)) (* (+ 3/2 (sqrt 1/2)) (* 1/8 (sqrt 1/8))))))) (/ (/ 1/2 x) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2)))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (fma (/ (sqrt 1/8) (* (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) 1/2)) 1/16 (fma 1/4 (/ (/ (sqrt 1/8) x) (* (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))) (sqrt 1/2))) (+ (+ (/ (/ 1/4 (/ (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))) (sqrt 1/2)) (fma (/ (sqrt 1/8) (* (* 1/2 (sqrt 1/2)) (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))))) 1/32 (/ 1/4 (/ (* (* (* x (+ 3/2 (sqrt 1/2))) (* x (+ 3/2 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))))) (/ (/ (* 1/2 (sqrt 1/8)) x) (* (+ 3/2 (sqrt 1/2)) (+ 3/2 (sqrt 1/2))))))) (/ (/ 3/16 (* x x)) (* (+ 3/2 (sqrt 1/2)) (sqrt 1/8)))))) (fma (* (* x x) (* x x)) 39/128 (- 1 (* x (* x 3/8)))) (+ (/ (/ 3/16 (sqrt 1/8)) (* x x)) (+ (sqrt 1/8) (- (/ (/ 3/16 (sqrt 1/8)) x) (/ (/ 9/512 (* 1/8 (sqrt 1/8))) (* x x))))) (- (+ (/ (/ 3/16 (sqrt 1/8)) (* x x)) (- (sqrt 1/8) (/ (/ 9/512 (* 1/8 (sqrt 1/8))) (* x x)))) (/ (/ 3/16 (sqrt 1/8)) x)) (- (fma (* (* x x) (* x x)) 35/128 3) (* x (* x 3/8))) (+ (/ 1/2 x) (+ (/ (/ 1/4 (sqrt 1/2)) x) (- (+ 3/2 (sqrt 1/2)) (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2)))))) (+ (sqrt 1/2) (- (- 3/2 (/ 1/2 x)) (+ (/ (/ 1/32 (* x x)) (* 1/2 (sqrt 1/2))) (/ (/ 1/4 (sqrt 1/2)) x)))) 9.673 * * * [progress]: adding candidates to table 10.423 * * [progress]: iteration 3 / 4 10.423 * * * [progress]: picking best candidate 10.439 * * * * [pick]: Picked # 10.440 * * * [progress]: localizing error 10.505 * * * [progress]: generating rewritten candidates 10.505 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.510 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 10.511 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.522 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 10.574 * * * [progress]: generating series expansions 10.574 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.574 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 10.574 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 10.574 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 10.574 * [taylor]: Taking taylor expansion of 1 in x 10.575 * [backup-simplify]: Simplify 1 into 1 10.575 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 10.575 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 10.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.575 * [taylor]: Taking taylor expansion of 1/2 in x 10.575 * [backup-simplify]: Simplify 1/2 into 1/2 10.575 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.575 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.575 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.575 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.575 * [taylor]: Taking taylor expansion of 1 in x 10.575 * [backup-simplify]: Simplify 1 into 1 10.575 * [taylor]: Taking taylor expansion of 1 in x 10.575 * [backup-simplify]: Simplify 1 into 1 10.575 * [taylor]: Taking taylor expansion of (* x x) in x 10.575 * [taylor]: Taking taylor expansion of x in x 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [backup-simplify]: Simplify 1 into 1 10.575 * [taylor]: Taking taylor expansion of x in x 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [backup-simplify]: Simplify 1 into 1 10.575 * [backup-simplify]: Simplify (* 1 1) into 1 10.576 * [backup-simplify]: Simplify (* 0 0) into 0 10.576 * [backup-simplify]: Simplify (+ 1 0) into 1 10.576 * [backup-simplify]: Simplify (sqrt 1) into 1 10.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.577 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.577 * [backup-simplify]: Simplify (+ 0 0) into 0 10.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.578 * [backup-simplify]: Simplify (/ 1 1) into 1 10.578 * [taylor]: Taking taylor expansion of 1/2 in x 10.578 * [backup-simplify]: Simplify 1/2 into 1/2 10.578 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.579 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.579 * [backup-simplify]: Simplify (* 1 1) into 1 10.579 * [backup-simplify]: Simplify (* 1 1) into 1 10.579 * [backup-simplify]: Simplify (sqrt 1) into 1 10.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.580 * [backup-simplify]: Simplify (+ 0 0) into 0 10.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.582 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 10.582 * [taylor]: Taking taylor expansion of 1 in x 10.582 * [backup-simplify]: Simplify 1 into 1 10.582 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 10.582 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 10.582 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.582 * [taylor]: Taking taylor expansion of 1/2 in x 10.582 * [backup-simplify]: Simplify 1/2 into 1/2 10.582 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.582 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.582 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.582 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.582 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.582 * [taylor]: Taking taylor expansion of 1 in x 10.582 * [backup-simplify]: Simplify 1 into 1 10.582 * [taylor]: Taking taylor expansion of 1 in x 10.582 * [backup-simplify]: Simplify 1 into 1 10.582 * [taylor]: Taking taylor expansion of (* x x) in x 10.582 * [taylor]: Taking taylor expansion of x in x 10.582 * [backup-simplify]: Simplify 0 into 0 10.582 * [backup-simplify]: Simplify 1 into 1 10.582 * [taylor]: Taking taylor expansion of x in x 10.582 * [backup-simplify]: Simplify 0 into 0 10.582 * [backup-simplify]: Simplify 1 into 1 10.582 * [backup-simplify]: Simplify (* 1 1) into 1 10.583 * [backup-simplify]: Simplify (* 0 0) into 0 10.583 * [backup-simplify]: Simplify (+ 1 0) into 1 10.583 * [backup-simplify]: Simplify (sqrt 1) into 1 10.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.584 * [backup-simplify]: Simplify (+ 0 0) into 0 10.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.585 * [backup-simplify]: Simplify (/ 1 1) into 1 10.585 * [taylor]: Taking taylor expansion of 1/2 in x 10.585 * [backup-simplify]: Simplify 1/2 into 1/2 10.585 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.585 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.586 * [backup-simplify]: Simplify (* 1 1) into 1 10.586 * [backup-simplify]: Simplify (* 1 1) into 1 10.587 * [backup-simplify]: Simplify (sqrt 1) into 1 10.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.589 * [backup-simplify]: Simplify (+ 0 0) into 0 10.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.591 * [backup-simplify]: Simplify (- 1) into -1 10.592 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.592 * [backup-simplify]: Simplify 0 into 0 10.592 * [backup-simplify]: Simplify (- 0) into 0 10.593 * [backup-simplify]: Simplify (+ 0 0) into 0 10.593 * [backup-simplify]: Simplify 0 into 0 10.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.595 * [backup-simplify]: Simplify (+ 0 1) into 1 10.596 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.598 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.599 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.600 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 10.601 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 10.602 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 10.602 * [backup-simplify]: Simplify (- -3/8) into 3/8 10.602 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 10.602 * [backup-simplify]: Simplify 3/8 into 3/8 10.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.604 * [backup-simplify]: Simplify (+ 0 0) into 0 10.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.606 * [backup-simplify]: Simplify (+ 0 0) into 0 10.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 10.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 10.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 10.609 * [backup-simplify]: Simplify (- 0) into 0 10.609 * [backup-simplify]: Simplify (+ 0 0) into 0 10.609 * [backup-simplify]: Simplify 0 into 0 10.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.611 * [backup-simplify]: Simplify (+ 0 0) into 0 10.612 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.614 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.614 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.615 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 10.616 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 10.617 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 10.617 * [backup-simplify]: Simplify (- 39/128) into -39/128 10.618 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 10.618 * [backup-simplify]: Simplify -39/128 into -39/128 10.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.619 * [backup-simplify]: Simplify (+ 0 0) into 0 10.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 10.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 10.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 10.623 * [backup-simplify]: Simplify (+ 0 0) into 0 10.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 10.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 10.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 10.627 * [backup-simplify]: Simplify (- 0) into 0 10.627 * [backup-simplify]: Simplify (+ 0 0) into 0 10.627 * [backup-simplify]: Simplify 0 into 0 10.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.629 * [backup-simplify]: Simplify (+ 0 0) into 0 10.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 10.632 * [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 10.633 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 10.633 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 10.634 * [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 10.636 * [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 10.637 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 10.637 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 10.638 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 10.638 * [backup-simplify]: Simplify 275/1024 into 275/1024 10.638 * [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))) 10.638 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 10.638 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 10.638 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 10.638 * [taylor]: Taking taylor expansion of 1 in x 10.638 * [backup-simplify]: Simplify 1 into 1 10.638 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 10.638 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 10.638 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.638 * [taylor]: Taking taylor expansion of 1/2 in x 10.638 * [backup-simplify]: Simplify 1/2 into 1/2 10.638 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.638 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.638 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.638 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.639 * [taylor]: Taking taylor expansion of 1 in x 10.639 * [backup-simplify]: Simplify 1 into 1 10.639 * [taylor]: Taking taylor expansion of 1 in x 10.639 * [backup-simplify]: Simplify 1 into 1 10.639 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.639 * [taylor]: Taking taylor expansion of x in x 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 1 into 1 10.639 * [backup-simplify]: Simplify (/ 1 1) into 1 10.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.639 * [taylor]: Taking taylor expansion of x in x 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [backup-simplify]: Simplify 1 into 1 10.639 * [backup-simplify]: Simplify (/ 1 1) into 1 10.639 * [backup-simplify]: Simplify (* 1 1) into 1 10.640 * [backup-simplify]: Simplify (+ 0 1) into 1 10.640 * [backup-simplify]: Simplify (sqrt 1) into 1 10.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.642 * [backup-simplify]: Simplify (+ 0 0) into 0 10.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.642 * [backup-simplify]: Simplify (/ 1 1) into 1 10.642 * [taylor]: Taking taylor expansion of 1/2 in x 10.642 * [backup-simplify]: Simplify 1/2 into 1/2 10.643 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.643 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.643 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.643 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.644 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.644 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.644 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.645 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.645 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.646 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 10.646 * [taylor]: Taking taylor expansion of 1 in x 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 10.646 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 10.646 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.646 * [taylor]: Taking taylor expansion of 1/2 in x 10.646 * [backup-simplify]: Simplify 1/2 into 1/2 10.646 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.646 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.646 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.646 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.646 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.646 * [taylor]: Taking taylor expansion of 1 in x 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [taylor]: Taking taylor expansion of 1 in x 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.646 * [taylor]: Taking taylor expansion of x in x 10.646 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [backup-simplify]: Simplify (/ 1 1) into 1 10.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.646 * [taylor]: Taking taylor expansion of x in x 10.646 * [backup-simplify]: Simplify 0 into 0 10.646 * [backup-simplify]: Simplify 1 into 1 10.646 * [backup-simplify]: Simplify (/ 1 1) into 1 10.647 * [backup-simplify]: Simplify (* 1 1) into 1 10.647 * [backup-simplify]: Simplify (+ 0 1) into 1 10.647 * [backup-simplify]: Simplify (sqrt 1) into 1 10.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.649 * [backup-simplify]: Simplify (+ 0 0) into 0 10.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.649 * [backup-simplify]: Simplify (/ 1 1) into 1 10.649 * [taylor]: Taking taylor expansion of 1/2 in x 10.649 * [backup-simplify]: Simplify 1/2 into 1/2 10.650 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.650 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.650 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.651 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.651 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.651 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.651 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.652 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.653 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.653 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 10.654 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 10.655 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 10.656 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 10.665 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 10.667 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 10.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.669 * [backup-simplify]: Simplify (+ 0 0) into 0 10.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 10.671 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 10.677 * [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))) 10.686 * [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)))) 10.690 * [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)))) 10.693 * [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)))) 10.702 * [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)))) 10.703 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 10.703 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 10.703 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 10.703 * [taylor]: Taking taylor expansion of 1 in x 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 10.703 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 10.703 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.703 * [taylor]: Taking taylor expansion of 1/2 in x 10.703 * [backup-simplify]: Simplify 1/2 into 1/2 10.703 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.703 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.703 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.703 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.703 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.703 * [taylor]: Taking taylor expansion of 1 in x 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [taylor]: Taking taylor expansion of 1 in x 10.703 * [backup-simplify]: Simplify 1 into 1 10.703 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.703 * [taylor]: Taking taylor expansion of -1 in x 10.703 * [backup-simplify]: Simplify -1 into -1 10.703 * [taylor]: Taking taylor expansion of x in x 10.703 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify 1 into 1 10.704 * [backup-simplify]: Simplify (/ -1 1) into -1 10.704 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.704 * [taylor]: Taking taylor expansion of -1 in x 10.704 * [backup-simplify]: Simplify -1 into -1 10.704 * [taylor]: Taking taylor expansion of x in x 10.704 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify 1 into 1 10.705 * [backup-simplify]: Simplify (/ -1 1) into -1 10.705 * [backup-simplify]: Simplify (* -1 -1) into 1 10.705 * [backup-simplify]: Simplify (+ 0 1) into 1 10.706 * [backup-simplify]: Simplify (sqrt 1) into 1 10.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.708 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.709 * [backup-simplify]: Simplify (+ 0 0) into 0 10.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.710 * [backup-simplify]: Simplify (/ 1 1) into 1 10.710 * [taylor]: Taking taylor expansion of 1/2 in x 10.710 * [backup-simplify]: Simplify 1/2 into 1/2 10.710 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.711 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.711 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.711 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.712 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.712 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.713 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.714 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.715 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.715 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 10.715 * [taylor]: Taking taylor expansion of 1 in x 10.715 * [backup-simplify]: Simplify 1 into 1 10.715 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 10.715 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 10.715 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 10.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 10.715 * [taylor]: Taking taylor expansion of 1/2 in x 10.715 * [backup-simplify]: Simplify 1/2 into 1/2 10.715 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 10.715 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.716 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.716 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.716 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.716 * [taylor]: Taking taylor expansion of 1 in x 10.716 * [backup-simplify]: Simplify 1 into 1 10.716 * [taylor]: Taking taylor expansion of 1 in x 10.716 * [backup-simplify]: Simplify 1 into 1 10.716 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.716 * [taylor]: Taking taylor expansion of -1 in x 10.716 * [backup-simplify]: Simplify -1 into -1 10.716 * [taylor]: Taking taylor expansion of x in x 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify 1 into 1 10.716 * [backup-simplify]: Simplify (/ -1 1) into -1 10.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.716 * [taylor]: Taking taylor expansion of -1 in x 10.716 * [backup-simplify]: Simplify -1 into -1 10.716 * [taylor]: Taking taylor expansion of x in x 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [backup-simplify]: Simplify 1 into 1 10.717 * [backup-simplify]: Simplify (/ -1 1) into -1 10.717 * [backup-simplify]: Simplify (* -1 -1) into 1 10.718 * [backup-simplify]: Simplify (+ 0 1) into 1 10.718 * [backup-simplify]: Simplify (sqrt 1) into 1 10.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.720 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.721 * [backup-simplify]: Simplify (+ 0 0) into 0 10.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.722 * [backup-simplify]: Simplify (/ 1 1) into 1 10.722 * [taylor]: Taking taylor expansion of 1/2 in x 10.722 * [backup-simplify]: Simplify 1/2 into 1/2 10.723 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.723 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.723 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 10.724 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 10.724 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.725 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.725 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 10.726 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 10.727 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 10.728 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 10.730 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 10.730 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 10.732 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 10.735 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 10.738 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 10.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.739 * [backup-simplify]: Simplify (+ 0 0) into 0 10.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 10.740 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 10.743 * [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))) 10.748 * [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)))) 10.753 * [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)))) 10.758 * [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)))) 10.767 * [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))) 10.767 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 10.768 * [backup-simplify]: Simplify (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 10.768 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 10.768 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.768 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 10.768 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 10.768 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 10.768 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.768 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.768 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.768 * [taylor]: Taking taylor expansion of 1/2 in x 10.768 * [backup-simplify]: Simplify 1/2 into 1/2 10.768 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.768 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.768 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.768 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.768 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.768 * [taylor]: Taking taylor expansion of 1 in x 10.768 * [backup-simplify]: Simplify 1 into 1 10.768 * [taylor]: Taking taylor expansion of 1 in x 10.768 * [backup-simplify]: Simplify 1 into 1 10.769 * [taylor]: Taking taylor expansion of (* x x) in x 10.769 * [taylor]: Taking taylor expansion of x in x 10.769 * [backup-simplify]: Simplify 0 into 0 10.769 * [backup-simplify]: Simplify 1 into 1 10.769 * [taylor]: Taking taylor expansion of x in x 10.769 * [backup-simplify]: Simplify 0 into 0 10.769 * [backup-simplify]: Simplify 1 into 1 10.769 * [backup-simplify]: Simplify (* 1 1) into 1 10.769 * [backup-simplify]: Simplify (* 0 0) into 0 10.770 * [backup-simplify]: Simplify (+ 1 0) into 1 10.770 * [backup-simplify]: Simplify (sqrt 1) into 1 10.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.772 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.772 * [backup-simplify]: Simplify (+ 0 0) into 0 10.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.773 * [backup-simplify]: Simplify (/ 1 1) into 1 10.773 * [taylor]: Taking taylor expansion of 1/2 in x 10.773 * [backup-simplify]: Simplify 1/2 into 1/2 10.774 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.774 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.774 * [backup-simplify]: Simplify (sqrt 1) into 1 10.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.776 * [backup-simplify]: Simplify (+ 0 0) into 0 10.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.777 * [taylor]: Taking taylor expansion of 1 in x 10.777 * [backup-simplify]: Simplify 1 into 1 10.777 * [backup-simplify]: Simplify (+ 1 1) into 2 10.778 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 10.778 * [backup-simplify]: Simplify (+ 0 0) into 0 10.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 10.779 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 10.779 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.779 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.779 * [taylor]: Taking taylor expansion of 1/2 in x 10.779 * [backup-simplify]: Simplify 1/2 into 1/2 10.779 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.779 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.779 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.779 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.779 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.779 * [taylor]: Taking taylor expansion of 1 in x 10.779 * [backup-simplify]: Simplify 1 into 1 10.779 * [taylor]: Taking taylor expansion of 1 in x 10.779 * [backup-simplify]: Simplify 1 into 1 10.779 * [taylor]: Taking taylor expansion of (* x x) in x 10.779 * [taylor]: Taking taylor expansion of x in x 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify 1 into 1 10.780 * [taylor]: Taking taylor expansion of x in x 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 1 into 1 10.784 * [backup-simplify]: Simplify (* 1 1) into 1 10.784 * [backup-simplify]: Simplify (* 0 0) into 0 10.785 * [backup-simplify]: Simplify (+ 1 0) into 1 10.785 * [backup-simplify]: Simplify (sqrt 1) into 1 10.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.786 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.786 * [backup-simplify]: Simplify (+ 0 0) into 0 10.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.787 * [backup-simplify]: Simplify (/ 1 1) into 1 10.787 * [taylor]: Taking taylor expansion of 1/2 in x 10.787 * [backup-simplify]: Simplify 1/2 into 1/2 10.787 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.787 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.787 * [backup-simplify]: Simplify (sqrt 1) into 1 10.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.789 * [backup-simplify]: Simplify (+ 0 0) into 0 10.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.789 * [taylor]: Taking taylor expansion of 1 in x 10.789 * [backup-simplify]: Simplify 1 into 1 10.789 * [backup-simplify]: Simplify (+ 1 1) into 2 10.789 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 10.790 * [backup-simplify]: Simplify (+ 0 0) into 0 10.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 10.790 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.790 * [taylor]: Taking taylor expansion of 1/2 in x 10.790 * [backup-simplify]: Simplify 1/2 into 1/2 10.790 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.790 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.790 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.790 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.790 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.790 * [taylor]: Taking taylor expansion of 1 in x 10.790 * [backup-simplify]: Simplify 1 into 1 10.790 * [taylor]: Taking taylor expansion of 1 in x 10.790 * [backup-simplify]: Simplify 1 into 1 10.790 * [taylor]: Taking taylor expansion of (* x x) in x 10.790 * [taylor]: Taking taylor expansion of x in x 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 1 into 1 10.790 * [taylor]: Taking taylor expansion of x in x 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 1 into 1 10.791 * [backup-simplify]: Simplify (* 1 1) into 1 10.791 * [backup-simplify]: Simplify (* 0 0) into 0 10.791 * [backup-simplify]: Simplify (+ 1 0) into 1 10.791 * [backup-simplify]: Simplify (sqrt 1) into 1 10.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.792 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.792 * [backup-simplify]: Simplify (+ 0 0) into 0 10.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.793 * [backup-simplify]: Simplify (/ 1 1) into 1 10.793 * [taylor]: Taking taylor expansion of 1/2 in x 10.793 * [backup-simplify]: Simplify 1/2 into 1/2 10.793 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.793 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 10.793 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 10.793 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 10.793 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.793 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.793 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.793 * [taylor]: Taking taylor expansion of 1/2 in x 10.793 * [backup-simplify]: Simplify 1/2 into 1/2 10.793 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.793 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.793 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.793 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.793 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.794 * [taylor]: Taking taylor expansion of 1 in x 10.794 * [backup-simplify]: Simplify 1 into 1 10.794 * [taylor]: Taking taylor expansion of 1 in x 10.794 * [backup-simplify]: Simplify 1 into 1 10.794 * [taylor]: Taking taylor expansion of (* x x) in x 10.794 * [taylor]: Taking taylor expansion of x in x 10.794 * [backup-simplify]: Simplify 0 into 0 10.794 * [backup-simplify]: Simplify 1 into 1 10.794 * [taylor]: Taking taylor expansion of x in x 10.794 * [backup-simplify]: Simplify 0 into 0 10.794 * [backup-simplify]: Simplify 1 into 1 10.794 * [backup-simplify]: Simplify (* 1 1) into 1 10.794 * [backup-simplify]: Simplify (* 0 0) into 0 10.794 * [backup-simplify]: Simplify (+ 1 0) into 1 10.795 * [backup-simplify]: Simplify (sqrt 1) into 1 10.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.795 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.796 * [backup-simplify]: Simplify (+ 0 0) into 0 10.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.796 * [backup-simplify]: Simplify (/ 1 1) into 1 10.796 * [taylor]: Taking taylor expansion of 1/2 in x 10.796 * [backup-simplify]: Simplify 1/2 into 1/2 10.797 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.797 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.797 * [backup-simplify]: Simplify (sqrt 1) into 1 10.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.798 * [backup-simplify]: Simplify (+ 0 0) into 0 10.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.799 * [taylor]: Taking taylor expansion of 1 in x 10.799 * [backup-simplify]: Simplify 1 into 1 10.799 * [backup-simplify]: Simplify (+ 1 1) into 2 10.799 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 10.799 * [backup-simplify]: Simplify (+ 0 0) into 0 10.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 10.800 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 10.800 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 10.800 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 10.800 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.800 * [taylor]: Taking taylor expansion of 1/2 in x 10.800 * [backup-simplify]: Simplify 1/2 into 1/2 10.800 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.800 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.800 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.800 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.800 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.800 * [taylor]: Taking taylor expansion of 1 in x 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [taylor]: Taking taylor expansion of 1 in x 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [taylor]: Taking taylor expansion of (* x x) in x 10.800 * [taylor]: Taking taylor expansion of x in x 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [taylor]: Taking taylor expansion of x in x 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [backup-simplify]: Simplify (* 1 1) into 1 10.801 * [backup-simplify]: Simplify (* 0 0) into 0 10.801 * [backup-simplify]: Simplify (+ 1 0) into 1 10.801 * [backup-simplify]: Simplify (sqrt 1) into 1 10.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.802 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.802 * [backup-simplify]: Simplify (+ 0 0) into 0 10.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.803 * [backup-simplify]: Simplify (/ 1 1) into 1 10.803 * [taylor]: Taking taylor expansion of 1/2 in x 10.803 * [backup-simplify]: Simplify 1/2 into 1/2 10.803 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.803 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.804 * [backup-simplify]: Simplify (sqrt 1) into 1 10.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.805 * [backup-simplify]: Simplify (+ 0 0) into 0 10.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.805 * [taylor]: Taking taylor expansion of 1 in x 10.805 * [backup-simplify]: Simplify 1 into 1 10.805 * [backup-simplify]: Simplify (+ 1 1) into 2 10.806 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 10.806 * [backup-simplify]: Simplify (+ 0 0) into 0 10.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 10.806 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 10.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 10.806 * [taylor]: Taking taylor expansion of 1/2 in x 10.806 * [backup-simplify]: Simplify 1/2 into 1/2 10.806 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 10.806 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.806 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.806 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.807 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.807 * [taylor]: Taking taylor expansion of 1 in x 10.807 * [backup-simplify]: Simplify 1 into 1 10.807 * [taylor]: Taking taylor expansion of 1 in x 10.807 * [backup-simplify]: Simplify 1 into 1 10.807 * [taylor]: Taking taylor expansion of (* x x) in x 10.807 * [taylor]: Taking taylor expansion of x in x 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 1 into 1 10.807 * [taylor]: Taking taylor expansion of x in x 10.807 * [backup-simplify]: Simplify 0 into 0 10.807 * [backup-simplify]: Simplify 1 into 1 10.807 * [backup-simplify]: Simplify (* 1 1) into 1 10.807 * [backup-simplify]: Simplify (* 0 0) into 0 10.807 * [backup-simplify]: Simplify (+ 1 0) into 1 10.808 * [backup-simplify]: Simplify (sqrt 1) into 1 10.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.808 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.809 * [backup-simplify]: Simplify (+ 0 0) into 0 10.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.809 * [backup-simplify]: Simplify (/ 1 1) into 1 10.809 * [taylor]: Taking taylor expansion of 1/2 in x 10.809 * [backup-simplify]: Simplify 1/2 into 1/2 10.810 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 10.810 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.811 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 10.812 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 10.812 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 10.813 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 10.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.815 * [backup-simplify]: Simplify (+ 0 0) into 0 10.815 * [backup-simplify]: Simplify (+ 0 0) into 0 10.815 * [backup-simplify]: Simplify 0 into 0 10.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.817 * [backup-simplify]: Simplify (+ 0 1) into 1 10.818 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.821 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.821 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.823 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 10.823 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 10.826 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 10.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.828 * [backup-simplify]: Simplify (+ 0 1) into 1 10.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.832 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.832 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.833 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 10.834 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 10.836 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 10.843 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (/ -1/16 (sqrt 2)) (sqrt 2)))) into (- 1/8) 10.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.846 * [backup-simplify]: Simplify (+ 0 1) into 1 10.847 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 10.849 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 10.849 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 10.850 * [backup-simplify]: Simplify (+ (- 1/8) -1/4) into -3/8 10.850 * [backup-simplify]: Simplify -3/8 into -3/8 10.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.853 * [backup-simplify]: Simplify (+ 0 0) into 0 10.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.857 * [backup-simplify]: Simplify (+ 0 0) into 0 10.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 10.858 * [backup-simplify]: Simplify (+ 0 0) into 0 10.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 10.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.860 * [backup-simplify]: Simplify (+ 0 0) into 0 10.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.863 * [backup-simplify]: Simplify (+ 0 0) into 0 10.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 10.864 * [backup-simplify]: Simplify (+ 0 0) into 0 10.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 10.866 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ -1/16 (sqrt 2))) (+ (* (/ -1/16 (sqrt 2)) 0) (* 0 (sqrt 2))))) into 0 10.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.867 * [backup-simplify]: Simplify (+ 0 0) into 0 10.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 10.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 10.870 * [backup-simplify]: Simplify (+ 0 0) into 0 10.870 * [backup-simplify]: Simplify (+ 0 0) into 0 10.870 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.871 * [backup-simplify]: Simplify (+ 0 0) into 0 10.872 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.874 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.875 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.875 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 10.876 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 10.880 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 10.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.881 * [backup-simplify]: Simplify (+ 0 0) into 0 10.882 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.884 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.884 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.889 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 10.889 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 10.893 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 10.914 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) (+ (* 0 0) (+ (* (/ -1/16 (sqrt 2)) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2)))))) into 11/128 10.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.917 * [backup-simplify]: Simplify (+ 0 0) into 0 10.918 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 10.922 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 10.922 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 10.923 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 10.923 * [backup-simplify]: Simplify 35/128 into 35/128 10.925 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 4)) (+ (* -3/8 (pow x 2)) (+ (pow (sqrt 2) 2) 1))) into (- (+ (pow (sqrt 2) 2) (+ (* 35/128 (pow x 4)) 1)) (* 3/8 (pow x 2))) 10.925 * [backup-simplify]: Simplify (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 10.925 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 10.925 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.925 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 10.925 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 10.925 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 10.925 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.925 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.925 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.925 * [taylor]: Taking taylor expansion of 1/2 in x 10.925 * [backup-simplify]: Simplify 1/2 into 1/2 10.925 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.925 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.925 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.926 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.926 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.926 * [taylor]: Taking taylor expansion of 1 in x 10.926 * [backup-simplify]: Simplify 1 into 1 10.926 * [taylor]: Taking taylor expansion of 1 in x 10.926 * [backup-simplify]: Simplify 1 into 1 10.926 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.926 * [taylor]: Taking taylor expansion of x in x 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify 1 into 1 10.926 * [backup-simplify]: Simplify (/ 1 1) into 1 10.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.926 * [taylor]: Taking taylor expansion of x in x 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify 1 into 1 10.927 * [backup-simplify]: Simplify (/ 1 1) into 1 10.927 * [backup-simplify]: Simplify (* 1 1) into 1 10.927 * [backup-simplify]: Simplify (+ 0 1) into 1 10.928 * [backup-simplify]: Simplify (sqrt 1) into 1 10.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.930 * [backup-simplify]: Simplify (+ 0 0) into 0 10.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.931 * [backup-simplify]: Simplify (/ 1 1) into 1 10.932 * [taylor]: Taking taylor expansion of 1/2 in x 10.932 * [backup-simplify]: Simplify 1/2 into 1/2 10.932 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.933 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.933 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.934 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.935 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.935 * [taylor]: Taking taylor expansion of 1 in x 10.935 * [backup-simplify]: Simplify 1 into 1 10.936 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.937 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 10.939 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 10.945 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 10.945 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 10.945 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.945 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.945 * [taylor]: Taking taylor expansion of 1/2 in x 10.945 * [backup-simplify]: Simplify 1/2 into 1/2 10.945 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.945 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.945 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.945 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.945 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.945 * [taylor]: Taking taylor expansion of 1 in x 10.945 * [backup-simplify]: Simplify 1 into 1 10.945 * [taylor]: Taking taylor expansion of 1 in x 10.945 * [backup-simplify]: Simplify 1 into 1 10.945 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.945 * [taylor]: Taking taylor expansion of x in x 10.945 * [backup-simplify]: Simplify 0 into 0 10.945 * [backup-simplify]: Simplify 1 into 1 10.946 * [backup-simplify]: Simplify (/ 1 1) into 1 10.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.946 * [taylor]: Taking taylor expansion of x in x 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify 1 into 1 10.946 * [backup-simplify]: Simplify (/ 1 1) into 1 10.946 * [backup-simplify]: Simplify (* 1 1) into 1 10.947 * [backup-simplify]: Simplify (+ 0 1) into 1 10.947 * [backup-simplify]: Simplify (sqrt 1) into 1 10.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.950 * [backup-simplify]: Simplify (+ 0 0) into 0 10.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.951 * [backup-simplify]: Simplify (/ 1 1) into 1 10.951 * [taylor]: Taking taylor expansion of 1/2 in x 10.951 * [backup-simplify]: Simplify 1/2 into 1/2 10.951 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.952 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.952 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.953 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.954 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.954 * [taylor]: Taking taylor expansion of 1 in x 10.954 * [backup-simplify]: Simplify 1 into 1 10.955 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.957 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 10.958 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 10.964 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 10.964 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.964 * [taylor]: Taking taylor expansion of 1/2 in x 10.964 * [backup-simplify]: Simplify 1/2 into 1/2 10.964 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.964 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.964 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.964 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.964 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.964 * [taylor]: Taking taylor expansion of 1 in x 10.964 * [backup-simplify]: Simplify 1 into 1 10.964 * [taylor]: Taking taylor expansion of 1 in x 10.964 * [backup-simplify]: Simplify 1 into 1 10.964 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.964 * [taylor]: Taking taylor expansion of x in x 10.964 * [backup-simplify]: Simplify 0 into 0 10.965 * [backup-simplify]: Simplify 1 into 1 10.965 * [backup-simplify]: Simplify (/ 1 1) into 1 10.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.965 * [taylor]: Taking taylor expansion of x in x 10.965 * [backup-simplify]: Simplify 0 into 0 10.965 * [backup-simplify]: Simplify 1 into 1 10.965 * [backup-simplify]: Simplify (/ 1 1) into 1 10.966 * [backup-simplify]: Simplify (* 1 1) into 1 10.966 * [backup-simplify]: Simplify (+ 0 1) into 1 10.967 * [backup-simplify]: Simplify (sqrt 1) into 1 10.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.969 * [backup-simplify]: Simplify (+ 0 0) into 0 10.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.970 * [backup-simplify]: Simplify (/ 1 1) into 1 10.970 * [taylor]: Taking taylor expansion of 1/2 in x 10.970 * [backup-simplify]: Simplify 1/2 into 1/2 10.970 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.971 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 10.971 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 10.971 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 10.971 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.971 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.971 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.971 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.971 * [taylor]: Taking taylor expansion of 1/2 in x 10.971 * [backup-simplify]: Simplify 1/2 into 1/2 10.971 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.971 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.971 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.971 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.971 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.971 * [taylor]: Taking taylor expansion of 1 in x 10.971 * [backup-simplify]: Simplify 1 into 1 10.971 * [taylor]: Taking taylor expansion of 1 in x 10.971 * [backup-simplify]: Simplify 1 into 1 10.971 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.971 * [taylor]: Taking taylor expansion of x in x 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 1 into 1 10.972 * [backup-simplify]: Simplify (/ 1 1) into 1 10.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.972 * [taylor]: Taking taylor expansion of x in x 10.972 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify 1 into 1 10.972 * [backup-simplify]: Simplify (/ 1 1) into 1 10.972 * [backup-simplify]: Simplify (* 1 1) into 1 10.973 * [backup-simplify]: Simplify (+ 0 1) into 1 10.973 * [backup-simplify]: Simplify (sqrt 1) into 1 10.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.975 * [backup-simplify]: Simplify (+ 0 0) into 0 10.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.975 * [backup-simplify]: Simplify (/ 1 1) into 1 10.975 * [taylor]: Taking taylor expansion of 1/2 in x 10.975 * [backup-simplify]: Simplify 1/2 into 1/2 10.976 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.976 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.976 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.977 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.977 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.978 * [taylor]: Taking taylor expansion of 1 in x 10.978 * [backup-simplify]: Simplify 1 into 1 10.978 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.979 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 10.980 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 10.983 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 10.983 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 10.983 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 10.983 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 10.983 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.983 * [taylor]: Taking taylor expansion of 1/2 in x 10.983 * [backup-simplify]: Simplify 1/2 into 1/2 10.983 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.983 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.983 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.983 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.983 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.983 * [taylor]: Taking taylor expansion of 1 in x 10.983 * [backup-simplify]: Simplify 1 into 1 10.984 * [taylor]: Taking taylor expansion of 1 in x 10.984 * [backup-simplify]: Simplify 1 into 1 10.984 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.984 * [taylor]: Taking taylor expansion of x in x 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify 1 into 1 10.984 * [backup-simplify]: Simplify (/ 1 1) into 1 10.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.984 * [taylor]: Taking taylor expansion of x in x 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify 1 into 1 10.984 * [backup-simplify]: Simplify (/ 1 1) into 1 10.984 * [backup-simplify]: Simplify (* 1 1) into 1 10.985 * [backup-simplify]: Simplify (+ 0 1) into 1 10.985 * [backup-simplify]: Simplify (sqrt 1) into 1 10.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.986 * [backup-simplify]: Simplify (+ 0 0) into 0 10.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.987 * [backup-simplify]: Simplify (/ 1 1) into 1 10.987 * [taylor]: Taking taylor expansion of 1/2 in x 10.987 * [backup-simplify]: Simplify 1/2 into 1/2 10.987 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.988 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 10.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.988 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.989 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 10.989 * [taylor]: Taking taylor expansion of 1 in x 10.989 * [backup-simplify]: Simplify 1 into 1 10.990 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 10.991 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 10.992 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 10.995 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 10.995 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 10.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 10.995 * [taylor]: Taking taylor expansion of 1/2 in x 10.995 * [backup-simplify]: Simplify 1/2 into 1/2 10.995 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 10.995 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.995 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.995 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.995 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.995 * [taylor]: Taking taylor expansion of 1 in x 10.995 * [backup-simplify]: Simplify 1 into 1 10.995 * [taylor]: Taking taylor expansion of 1 in x 10.995 * [backup-simplify]: Simplify 1 into 1 10.995 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.995 * [taylor]: Taking taylor expansion of x in x 10.995 * [backup-simplify]: Simplify 0 into 0 10.995 * [backup-simplify]: Simplify 1 into 1 10.996 * [backup-simplify]: Simplify (/ 1 1) into 1 10.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.996 * [taylor]: Taking taylor expansion of x in x 10.996 * [backup-simplify]: Simplify 0 into 0 10.996 * [backup-simplify]: Simplify 1 into 1 10.996 * [backup-simplify]: Simplify (/ 1 1) into 1 10.996 * [backup-simplify]: Simplify (* 1 1) into 1 10.997 * [backup-simplify]: Simplify (+ 0 1) into 1 11.001 * [backup-simplify]: Simplify (sqrt 1) into 1 11.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.004 * [backup-simplify]: Simplify (+ 0 0) into 0 11.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.005 * [backup-simplify]: Simplify (/ 1 1) into 1 11.005 * [taylor]: Taking taylor expansion of 1/2 in x 11.005 * [backup-simplify]: Simplify 1/2 into 1/2 11.009 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 11.009 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.011 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 11.012 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 11.024 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 11.024 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.024 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.026 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.027 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.029 * [backup-simplify]: Simplify (+ 0 0) into 0 11.032 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.034 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.047 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.049 * [backup-simplify]: Simplify (+ 0 0) into 0 11.055 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.057 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.069 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.126 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.128 * [backup-simplify]: Simplify (+ 0 0) into 0 11.132 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.136 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.141 * [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) 3/2))) into (- (+ (* 1/2 (/ 1 x)) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 3/2))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 11.141 * [backup-simplify]: Simplify (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 11.141 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 11.141 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.141 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 11.141 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 11.141 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.141 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.141 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.141 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.141 * [taylor]: Taking taylor expansion of 1/2 in x 11.141 * [backup-simplify]: Simplify 1/2 into 1/2 11.141 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.141 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.141 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.141 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.141 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.141 * [taylor]: Taking taylor expansion of 1 in x 11.141 * [backup-simplify]: Simplify 1 into 1 11.141 * [taylor]: Taking taylor expansion of 1 in x 11.142 * [backup-simplify]: Simplify 1 into 1 11.142 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.142 * [taylor]: Taking taylor expansion of -1 in x 11.142 * [backup-simplify]: Simplify -1 into -1 11.142 * [taylor]: Taking taylor expansion of x in x 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 1 into 1 11.142 * [backup-simplify]: Simplify (/ -1 1) into -1 11.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.142 * [taylor]: Taking taylor expansion of -1 in x 11.142 * [backup-simplify]: Simplify -1 into -1 11.142 * [taylor]: Taking taylor expansion of x in x 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 1 into 1 11.142 * [backup-simplify]: Simplify (/ -1 1) into -1 11.143 * [backup-simplify]: Simplify (* -1 -1) into 1 11.143 * [backup-simplify]: Simplify (+ 0 1) into 1 11.143 * [backup-simplify]: Simplify (sqrt 1) into 1 11.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.144 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.145 * [backup-simplify]: Simplify (+ 0 0) into 0 11.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.145 * [backup-simplify]: Simplify (/ 1 1) into 1 11.145 * [taylor]: Taking taylor expansion of 1/2 in x 11.145 * [backup-simplify]: Simplify 1/2 into 1/2 11.146 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.146 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.146 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.146 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.147 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.147 * [taylor]: Taking taylor expansion of 1 in x 11.147 * [backup-simplify]: Simplify 1 into 1 11.148 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.149 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.150 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.153 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.153 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.153 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.153 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.153 * [taylor]: Taking taylor expansion of 1/2 in x 11.153 * [backup-simplify]: Simplify 1/2 into 1/2 11.153 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.153 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.154 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.154 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.154 * [taylor]: Taking taylor expansion of 1 in x 11.154 * [backup-simplify]: Simplify 1 into 1 11.154 * [taylor]: Taking taylor expansion of 1 in x 11.154 * [backup-simplify]: Simplify 1 into 1 11.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.154 * [taylor]: Taking taylor expansion of -1 in x 11.154 * [backup-simplify]: Simplify -1 into -1 11.154 * [taylor]: Taking taylor expansion of x in x 11.154 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify 1 into 1 11.154 * [backup-simplify]: Simplify (/ -1 1) into -1 11.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.154 * [taylor]: Taking taylor expansion of -1 in x 11.154 * [backup-simplify]: Simplify -1 into -1 11.154 * [taylor]: Taking taylor expansion of x in x 11.154 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify 1 into 1 11.155 * [backup-simplify]: Simplify (/ -1 1) into -1 11.155 * [backup-simplify]: Simplify (* -1 -1) into 1 11.155 * [backup-simplify]: Simplify (+ 0 1) into 1 11.155 * [backup-simplify]: Simplify (sqrt 1) into 1 11.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.157 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.157 * [backup-simplify]: Simplify (+ 0 0) into 0 11.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.158 * [backup-simplify]: Simplify (/ 1 1) into 1 11.158 * [taylor]: Taking taylor expansion of 1/2 in x 11.158 * [backup-simplify]: Simplify 1/2 into 1/2 11.158 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.158 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.158 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.159 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.160 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.160 * [taylor]: Taking taylor expansion of 1 in x 11.160 * [backup-simplify]: Simplify 1 into 1 11.160 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.161 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.162 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.165 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.165 * [taylor]: Taking taylor expansion of 1/2 in x 11.165 * [backup-simplify]: Simplify 1/2 into 1/2 11.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.165 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.165 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.165 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.165 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.166 * [taylor]: Taking taylor expansion of 1 in x 11.166 * [backup-simplify]: Simplify 1 into 1 11.166 * [taylor]: Taking taylor expansion of 1 in x 11.166 * [backup-simplify]: Simplify 1 into 1 11.166 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.166 * [taylor]: Taking taylor expansion of -1 in x 11.166 * [backup-simplify]: Simplify -1 into -1 11.166 * [taylor]: Taking taylor expansion of x in x 11.166 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify 1 into 1 11.166 * [backup-simplify]: Simplify (/ -1 1) into -1 11.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.166 * [taylor]: Taking taylor expansion of -1 in x 11.166 * [backup-simplify]: Simplify -1 into -1 11.166 * [taylor]: Taking taylor expansion of x in x 11.166 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify 1 into 1 11.167 * [backup-simplify]: Simplify (/ -1 1) into -1 11.167 * [backup-simplify]: Simplify (* -1 -1) into 1 11.168 * [backup-simplify]: Simplify (+ 0 1) into 1 11.168 * [backup-simplify]: Simplify (sqrt 1) into 1 11.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.170 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.171 * [backup-simplify]: Simplify (+ 0 0) into 0 11.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.172 * [backup-simplify]: Simplify (/ 1 1) into 1 11.172 * [taylor]: Taking taylor expansion of 1/2 in x 11.172 * [backup-simplify]: Simplify 1/2 into 1/2 11.172 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.172 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 11.172 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 11.172 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.172 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.172 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.172 * [taylor]: Taking taylor expansion of 1/2 in x 11.172 * [backup-simplify]: Simplify 1/2 into 1/2 11.172 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.172 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.172 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.172 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.172 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.172 * [taylor]: Taking taylor expansion of 1 in x 11.172 * [backup-simplify]: Simplify 1 into 1 11.172 * [taylor]: Taking taylor expansion of 1 in x 11.172 * [backup-simplify]: Simplify 1 into 1 11.172 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.173 * [taylor]: Taking taylor expansion of -1 in x 11.173 * [backup-simplify]: Simplify -1 into -1 11.173 * [taylor]: Taking taylor expansion of x in x 11.173 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify 1 into 1 11.173 * [backup-simplify]: Simplify (/ -1 1) into -1 11.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.173 * [taylor]: Taking taylor expansion of -1 in x 11.173 * [backup-simplify]: Simplify -1 into -1 11.173 * [taylor]: Taking taylor expansion of x in x 11.173 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify 1 into 1 11.174 * [backup-simplify]: Simplify (/ -1 1) into -1 11.174 * [backup-simplify]: Simplify (* -1 -1) into 1 11.174 * [backup-simplify]: Simplify (+ 0 1) into 1 11.175 * [backup-simplify]: Simplify (sqrt 1) into 1 11.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.177 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.178 * [backup-simplify]: Simplify (+ 0 0) into 0 11.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.179 * [backup-simplify]: Simplify (/ 1 1) into 1 11.179 * [taylor]: Taking taylor expansion of 1/2 in x 11.179 * [backup-simplify]: Simplify 1/2 into 1/2 11.179 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.180 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.180 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.180 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.182 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.182 * [taylor]: Taking taylor expansion of 1 in x 11.182 * [backup-simplify]: Simplify 1 into 1 11.183 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.184 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.186 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.191 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.191 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 11.191 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 11.191 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 11.191 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.191 * [taylor]: Taking taylor expansion of 1/2 in x 11.191 * [backup-simplify]: Simplify 1/2 into 1/2 11.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.192 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.192 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.192 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.192 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.192 * [taylor]: Taking taylor expansion of 1 in x 11.192 * [backup-simplify]: Simplify 1 into 1 11.192 * [taylor]: Taking taylor expansion of 1 in x 11.192 * [backup-simplify]: Simplify 1 into 1 11.192 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.192 * [taylor]: Taking taylor expansion of -1 in x 11.192 * [backup-simplify]: Simplify -1 into -1 11.192 * [taylor]: Taking taylor expansion of x in x 11.192 * [backup-simplify]: Simplify 0 into 0 11.192 * [backup-simplify]: Simplify 1 into 1 11.192 * [backup-simplify]: Simplify (/ -1 1) into -1 11.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.193 * [taylor]: Taking taylor expansion of -1 in x 11.193 * [backup-simplify]: Simplify -1 into -1 11.193 * [taylor]: Taking taylor expansion of x in x 11.193 * [backup-simplify]: Simplify 0 into 0 11.193 * [backup-simplify]: Simplify 1 into 1 11.193 * [backup-simplify]: Simplify (/ -1 1) into -1 11.194 * [backup-simplify]: Simplify (* -1 -1) into 1 11.194 * [backup-simplify]: Simplify (+ 0 1) into 1 11.194 * [backup-simplify]: Simplify (sqrt 1) into 1 11.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.198 * [backup-simplify]: Simplify (+ 0 0) into 0 11.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.199 * [backup-simplify]: Simplify (/ 1 1) into 1 11.199 * [taylor]: Taking taylor expansion of 1/2 in x 11.199 * [backup-simplify]: Simplify 1/2 into 1/2 11.199 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.200 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.200 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.201 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.202 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.202 * [taylor]: Taking taylor expansion of 1 in x 11.202 * [backup-simplify]: Simplify 1 into 1 11.203 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.205 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.207 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.212 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.212 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 11.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 11.212 * [taylor]: Taking taylor expansion of 1/2 in x 11.212 * [backup-simplify]: Simplify 1/2 into 1/2 11.212 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 11.213 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.213 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.213 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.213 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.213 * [taylor]: Taking taylor expansion of 1 in x 11.213 * [backup-simplify]: Simplify 1 into 1 11.213 * [taylor]: Taking taylor expansion of 1 in x 11.213 * [backup-simplify]: Simplify 1 into 1 11.213 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.213 * [taylor]: Taking taylor expansion of -1 in x 11.213 * [backup-simplify]: Simplify -1 into -1 11.213 * [taylor]: Taking taylor expansion of x in x 11.213 * [backup-simplify]: Simplify 0 into 0 11.213 * [backup-simplify]: Simplify 1 into 1 11.213 * [backup-simplify]: Simplify (/ -1 1) into -1 11.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.213 * [taylor]: Taking taylor expansion of -1 in x 11.213 * [backup-simplify]: Simplify -1 into -1 11.213 * [taylor]: Taking taylor expansion of x in x 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 1 into 1 11.214 * [backup-simplify]: Simplify (/ -1 1) into -1 11.220 * [backup-simplify]: Simplify (* -1 -1) into 1 11.221 * [backup-simplify]: Simplify (+ 0 1) into 1 11.221 * [backup-simplify]: Simplify (sqrt 1) into 1 11.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.224 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.224 * [backup-simplify]: Simplify (+ 0 0) into 0 11.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.226 * [backup-simplify]: Simplify (/ 1 1) into 1 11.226 * [taylor]: Taking taylor expansion of 1/2 in x 11.226 * [backup-simplify]: Simplify 1/2 into 1/2 11.230 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 11.230 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.232 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 11.233 * [backup-simplify]: Simplify (+ (sqrt 1/2) 3/2) into (+ (sqrt 1/2) 3/2) 11.254 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 11.254 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.255 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.257 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.260 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.262 * [backup-simplify]: Simplify (+ 0 0) into 0 11.269 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.271 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.284 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.285 * [backup-simplify]: Simplify (+ 0 0) into 0 11.288 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.290 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.302 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 11.377 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.379 * [backup-simplify]: Simplify (+ 0 0) into 0 11.384 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.388 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 11.396 * [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) 3/2))) into (- (+ (sqrt 1/2) 3/2) (+ (* 1/2 (/ 1 x)) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) 11.396 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.396 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 11.396 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 11.397 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 11.397 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 11.397 * [taylor]: Taking taylor expansion of 1 in x 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 11.397 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 11.397 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.397 * [taylor]: Taking taylor expansion of 1/2 in x 11.397 * [backup-simplify]: Simplify 1/2 into 1/2 11.397 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.397 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.397 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.397 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.397 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.397 * [taylor]: Taking taylor expansion of 1 in x 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [taylor]: Taking taylor expansion of 1 in x 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [taylor]: Taking taylor expansion of (* x x) in x 11.397 * [taylor]: Taking taylor expansion of x in x 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [taylor]: Taking taylor expansion of x in x 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [backup-simplify]: Simplify (* 1 1) into 1 11.398 * [backup-simplify]: Simplify (* 0 0) into 0 11.398 * [backup-simplify]: Simplify (+ 1 0) into 1 11.398 * [backup-simplify]: Simplify (sqrt 1) into 1 11.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.399 * [backup-simplify]: Simplify (+ 0 0) into 0 11.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.400 * [backup-simplify]: Simplify (/ 1 1) into 1 11.400 * [taylor]: Taking taylor expansion of 1/2 in x 11.400 * [backup-simplify]: Simplify 1/2 into 1/2 11.400 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.400 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.401 * [backup-simplify]: Simplify (* 1 1) into 1 11.401 * [backup-simplify]: Simplify (* 1 1) into 1 11.401 * [backup-simplify]: Simplify (sqrt 1) into 1 11.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.402 * [backup-simplify]: Simplify (+ 0 0) into 0 11.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.404 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.404 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 11.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 11.404 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.404 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.404 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.404 * [taylor]: Taking taylor expansion of 1/2 in x 11.404 * [backup-simplify]: Simplify 1/2 into 1/2 11.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.404 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.404 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.404 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.404 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.404 * [taylor]: Taking taylor expansion of 1 in x 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [taylor]: Taking taylor expansion of 1 in x 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [taylor]: Taking taylor expansion of (* x x) in x 11.404 * [taylor]: Taking taylor expansion of x in x 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [taylor]: Taking taylor expansion of x in x 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [backup-simplify]: Simplify (* 1 1) into 1 11.405 * [backup-simplify]: Simplify (* 0 0) into 0 11.405 * [backup-simplify]: Simplify (+ 1 0) into 1 11.405 * [backup-simplify]: Simplify (sqrt 1) into 1 11.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.406 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.406 * [backup-simplify]: Simplify (+ 0 0) into 0 11.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.407 * [backup-simplify]: Simplify (/ 1 1) into 1 11.407 * [taylor]: Taking taylor expansion of 1/2 in x 11.407 * [backup-simplify]: Simplify 1/2 into 1/2 11.407 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.407 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.408 * [backup-simplify]: Simplify (sqrt 1) into 1 11.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.409 * [backup-simplify]: Simplify (+ 0 0) into 0 11.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.409 * [taylor]: Taking taylor expansion of 1 in x 11.409 * [backup-simplify]: Simplify 1 into 1 11.409 * [backup-simplify]: Simplify (+ 1 1) into 2 11.410 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.410 * [backup-simplify]: Simplify (+ 0 0) into 0 11.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.410 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.410 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.410 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.410 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.410 * [taylor]: Taking taylor expansion of 1/2 in x 11.411 * [backup-simplify]: Simplify 1/2 into 1/2 11.411 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.411 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.411 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.411 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.411 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.411 * [taylor]: Taking taylor expansion of 1 in x 11.411 * [backup-simplify]: Simplify 1 into 1 11.411 * [taylor]: Taking taylor expansion of 1 in x 11.411 * [backup-simplify]: Simplify 1 into 1 11.411 * [taylor]: Taking taylor expansion of (* x x) in x 11.411 * [taylor]: Taking taylor expansion of x in x 11.411 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify 1 into 1 11.411 * [taylor]: Taking taylor expansion of x in x 11.411 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify 1 into 1 11.411 * [backup-simplify]: Simplify (* 1 1) into 1 11.411 * [backup-simplify]: Simplify (* 0 0) into 0 11.412 * [backup-simplify]: Simplify (+ 1 0) into 1 11.412 * [backup-simplify]: Simplify (sqrt 1) into 1 11.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.413 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.413 * [backup-simplify]: Simplify (+ 0 0) into 0 11.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.414 * [backup-simplify]: Simplify (/ 1 1) into 1 11.414 * [taylor]: Taking taylor expansion of 1/2 in x 11.414 * [backup-simplify]: Simplify 1/2 into 1/2 11.414 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.414 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.414 * [backup-simplify]: Simplify (sqrt 1) into 1 11.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.416 * [backup-simplify]: Simplify (+ 0 0) into 0 11.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.416 * [taylor]: Taking taylor expansion of 1 in x 11.416 * [backup-simplify]: Simplify 1 into 1 11.417 * [backup-simplify]: Simplify (+ 1 1) into 2 11.417 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.417 * [backup-simplify]: Simplify (+ 0 0) into 0 11.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.418 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.418 * [taylor]: Taking taylor expansion of 1/2 in x 11.418 * [backup-simplify]: Simplify 1/2 into 1/2 11.418 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.418 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.418 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.418 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.418 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.418 * [taylor]: Taking taylor expansion of 1 in x 11.418 * [backup-simplify]: Simplify 1 into 1 11.418 * [taylor]: Taking taylor expansion of 1 in x 11.418 * [backup-simplify]: Simplify 1 into 1 11.418 * [taylor]: Taking taylor expansion of (* x x) in x 11.418 * [taylor]: Taking taylor expansion of x in x 11.418 * [backup-simplify]: Simplify 0 into 0 11.418 * [backup-simplify]: Simplify 1 into 1 11.418 * [taylor]: Taking taylor expansion of x in x 11.418 * [backup-simplify]: Simplify 0 into 0 11.418 * [backup-simplify]: Simplify 1 into 1 11.418 * [backup-simplify]: Simplify (* 1 1) into 1 11.418 * [backup-simplify]: Simplify (* 0 0) into 0 11.419 * [backup-simplify]: Simplify (+ 1 0) into 1 11.419 * [backup-simplify]: Simplify (sqrt 1) into 1 11.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.420 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.420 * [backup-simplify]: Simplify (+ 0 0) into 0 11.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.421 * [backup-simplify]: Simplify (/ 1 1) into 1 11.421 * [taylor]: Taking taylor expansion of 1/2 in x 11.421 * [backup-simplify]: Simplify 1/2 into 1/2 11.421 * [backup-simplify]: Simplify (- 1) into -1 11.421 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.421 * [backup-simplify]: Simplify (- 0) into 0 11.422 * [backup-simplify]: Simplify (+ 0 0) into 0 11.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.423 * [backup-simplify]: Simplify (+ 0 1) into 1 11.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.425 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.425 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.426 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 11.426 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 11.427 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 11.427 * [backup-simplify]: Simplify (- -3/8) into 3/8 11.427 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 11.428 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 11.428 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.429 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.430 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 11.432 * [backup-simplify]: Simplify (/ 3/8 (+ (pow (sqrt 2) 2) 1)) into (/ 3/8 (+ (pow (sqrt 2) 2) 1)) 11.432 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 11.432 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 11.432 * [taylor]: Taking taylor expansion of 1 in x 11.432 * [backup-simplify]: Simplify 1 into 1 11.432 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 11.432 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 11.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.432 * [taylor]: Taking taylor expansion of 1/2 in x 11.432 * [backup-simplify]: Simplify 1/2 into 1/2 11.432 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.432 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.433 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.433 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.433 * [taylor]: Taking taylor expansion of 1 in x 11.433 * [backup-simplify]: Simplify 1 into 1 11.433 * [taylor]: Taking taylor expansion of 1 in x 11.433 * [backup-simplify]: Simplify 1 into 1 11.433 * [taylor]: Taking taylor expansion of (* x x) in x 11.433 * [taylor]: Taking taylor expansion of x in x 11.433 * [backup-simplify]: Simplify 0 into 0 11.433 * [backup-simplify]: Simplify 1 into 1 11.433 * [taylor]: Taking taylor expansion of x in x 11.433 * [backup-simplify]: Simplify 0 into 0 11.433 * [backup-simplify]: Simplify 1 into 1 11.433 * [backup-simplify]: Simplify (* 1 1) into 1 11.434 * [backup-simplify]: Simplify (* 0 0) into 0 11.434 * [backup-simplify]: Simplify (+ 1 0) into 1 11.434 * [backup-simplify]: Simplify (sqrt 1) into 1 11.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.436 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.436 * [backup-simplify]: Simplify (+ 0 0) into 0 11.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.438 * [backup-simplify]: Simplify (/ 1 1) into 1 11.438 * [taylor]: Taking taylor expansion of 1/2 in x 11.438 * [backup-simplify]: Simplify 1/2 into 1/2 11.438 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.438 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.439 * [backup-simplify]: Simplify (* 1 1) into 1 11.439 * [backup-simplify]: Simplify (* 1 1) into 1 11.440 * [backup-simplify]: Simplify (sqrt 1) into 1 11.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.441 * [backup-simplify]: Simplify (+ 0 0) into 0 11.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.443 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.443 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 11.443 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 11.444 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.444 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.444 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.444 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.444 * [taylor]: Taking taylor expansion of 1/2 in x 11.444 * [backup-simplify]: Simplify 1/2 into 1/2 11.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.444 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.444 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.444 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.444 * [taylor]: Taking taylor expansion of 1 in x 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [taylor]: Taking taylor expansion of 1 in x 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [taylor]: Taking taylor expansion of (* x x) in x 11.444 * [taylor]: Taking taylor expansion of x in x 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [taylor]: Taking taylor expansion of x in x 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [backup-simplify]: Simplify (* 1 1) into 1 11.445 * [backup-simplify]: Simplify (* 0 0) into 0 11.445 * [backup-simplify]: Simplify (+ 1 0) into 1 11.446 * [backup-simplify]: Simplify (sqrt 1) into 1 11.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.447 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.447 * [backup-simplify]: Simplify (+ 0 0) into 0 11.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.448 * [backup-simplify]: Simplify (/ 1 1) into 1 11.448 * [taylor]: Taking taylor expansion of 1/2 in x 11.448 * [backup-simplify]: Simplify 1/2 into 1/2 11.449 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.449 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.449 * [backup-simplify]: Simplify (sqrt 1) into 1 11.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.451 * [backup-simplify]: Simplify (+ 0 0) into 0 11.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.452 * [taylor]: Taking taylor expansion of 1 in x 11.452 * [backup-simplify]: Simplify 1 into 1 11.452 * [backup-simplify]: Simplify (+ 1 1) into 2 11.453 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.453 * [backup-simplify]: Simplify (+ 0 0) into 0 11.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.454 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 11.454 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 11.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 11.454 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.454 * [taylor]: Taking taylor expansion of 1/2 in x 11.454 * [backup-simplify]: Simplify 1/2 into 1/2 11.454 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.454 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.454 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.454 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.454 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.454 * [taylor]: Taking taylor expansion of 1 in x 11.454 * [backup-simplify]: Simplify 1 into 1 11.454 * [taylor]: Taking taylor expansion of 1 in x 11.454 * [backup-simplify]: Simplify 1 into 1 11.454 * [taylor]: Taking taylor expansion of (* x x) in x 11.454 * [taylor]: Taking taylor expansion of x in x 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify 1 into 1 11.454 * [taylor]: Taking taylor expansion of x in x 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify 1 into 1 11.455 * [backup-simplify]: Simplify (* 1 1) into 1 11.455 * [backup-simplify]: Simplify (* 0 0) into 0 11.456 * [backup-simplify]: Simplify (+ 1 0) into 1 11.456 * [backup-simplify]: Simplify (sqrt 1) into 1 11.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.457 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.458 * [backup-simplify]: Simplify (+ 0 0) into 0 11.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.459 * [backup-simplify]: Simplify (/ 1 1) into 1 11.459 * [taylor]: Taking taylor expansion of 1/2 in x 11.459 * [backup-simplify]: Simplify 1/2 into 1/2 11.459 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.460 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.460 * [backup-simplify]: Simplify (sqrt 1) into 1 11.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.462 * [backup-simplify]: Simplify (+ 0 0) into 0 11.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.462 * [taylor]: Taking taylor expansion of 1 in x 11.462 * [backup-simplify]: Simplify 1 into 1 11.462 * [backup-simplify]: Simplify (+ 1 1) into 2 11.462 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.466 * [backup-simplify]: Simplify (+ 0 0) into 0 11.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.467 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 11.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 11.467 * [taylor]: Taking taylor expansion of 1/2 in x 11.467 * [backup-simplify]: Simplify 1/2 into 1/2 11.467 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 11.467 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.467 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.467 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.467 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.467 * [taylor]: Taking taylor expansion of 1 in x 11.467 * [backup-simplify]: Simplify 1 into 1 11.467 * [taylor]: Taking taylor expansion of 1 in x 11.467 * [backup-simplify]: Simplify 1 into 1 11.467 * [taylor]: Taking taylor expansion of (* x x) in x 11.467 * [taylor]: Taking taylor expansion of x in x 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 1 into 1 11.467 * [taylor]: Taking taylor expansion of x in x 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 1 into 1 11.468 * [backup-simplify]: Simplify (* 1 1) into 1 11.468 * [backup-simplify]: Simplify (* 0 0) into 0 11.468 * [backup-simplify]: Simplify (+ 1 0) into 1 11.468 * [backup-simplify]: Simplify (sqrt 1) into 1 11.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.469 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.469 * [backup-simplify]: Simplify (+ 0 0) into 0 11.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.470 * [backup-simplify]: Simplify (/ 1 1) into 1 11.470 * [taylor]: Taking taylor expansion of 1/2 in x 11.470 * [backup-simplify]: Simplify 1/2 into 1/2 11.470 * [backup-simplify]: Simplify (- 1) into -1 11.471 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.471 * [backup-simplify]: Simplify (- 0) into 0 11.471 * [backup-simplify]: Simplify (+ 0 0) into 0 11.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.472 * [backup-simplify]: Simplify (+ 0 1) into 1 11.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.474 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.474 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.475 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 11.476 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 11.476 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 11.477 * [backup-simplify]: Simplify (- -3/8) into 3/8 11.477 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 11.478 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 11.478 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.478 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 11.479 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 11.480 * [backup-simplify]: Simplify (/ 3/8 (+ (pow (sqrt 2) 2) 1)) into (/ 3/8 (+ (pow (sqrt 2) 2) 1)) 11.482 * [backup-simplify]: Simplify (/ 3/8 (+ (pow (sqrt 2) 2) 1)) into (/ 3/8 (+ (pow (sqrt 2) 2) 1)) 11.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.483 * [backup-simplify]: Simplify (+ 0 0) into 0 11.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.486 * [backup-simplify]: Simplify (+ 0 0) into 0 11.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 11.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 11.488 * [backup-simplify]: Simplify (- 0) into 0 11.489 * [backup-simplify]: Simplify (+ 0 0) into 0 11.489 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 11.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.493 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ 0 (+ (pow (sqrt 2) 2) 1))))) into 0 11.493 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.496 * [backup-simplify]: Simplify (+ 0 0) into 0 11.497 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.500 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.501 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.502 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 11.504 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 11.506 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 11.506 * [backup-simplify]: Simplify (- 39/128) into -39/128 11.507 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 11.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.509 * [backup-simplify]: Simplify (+ 0 1) into 1 11.510 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.512 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.512 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.513 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 11.514 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 11.516 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 11.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.519 * [backup-simplify]: Simplify (+ 0 1) into 1 11.520 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.522 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.522 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.523 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 11.524 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 11.526 * [backup-simplify]: Simplify (/ (- -1/8 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -1/16 (sqrt 2)) 11.533 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (/ -1/16 (sqrt 2)) (sqrt 2)))) into (- 1/8) 11.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.535 * [backup-simplify]: Simplify (+ 0 1) into 1 11.536 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 11.538 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 11.538 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 11.539 * [backup-simplify]: Simplify (+ (- 1/8) -1/4) into -3/8 11.553 * [backup-simplify]: Simplify (- (/ -39/128 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ -3/8 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ 0 (+ (pow (sqrt 2) 2) 1))))) into (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) 11.562 * [backup-simplify]: Simplify (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) into (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) 11.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.565 * [backup-simplify]: Simplify (+ 0 0) into 0 11.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 11.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 11.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 11.571 * [backup-simplify]: Simplify (+ 0 0) into 0 11.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 11.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 11.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 11.578 * [backup-simplify]: Simplify (- 0) into 0 11.578 * [backup-simplify]: Simplify (+ 0 0) into 0 11.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.581 * [backup-simplify]: Simplify (+ 0 0) into 0 11.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.585 * [backup-simplify]: Simplify (+ 0 0) into 0 11.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 11.587 * [backup-simplify]: Simplify (+ 0 0) into 0 11.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 11.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.597 * [backup-simplify]: Simplify (+ 0 0) into 0 11.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.601 * [backup-simplify]: Simplify (+ 0 0) into 0 11.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 11.603 * [backup-simplify]: Simplify (+ 0 0) into 0 11.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 11.607 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ -1/16 (sqrt 2))) (+ (* (/ -1/16 (sqrt 2)) 0) (* 0 (sqrt 2))))) into 0 11.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.610 * [backup-simplify]: Simplify (+ 0 0) into 0 11.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 11.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 11.614 * [backup-simplify]: Simplify (+ 0 0) into 0 11.615 * [backup-simplify]: Simplify (+ 0 0) into 0 11.619 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ 0 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ -3/8 (+ (pow (sqrt 2) 2) 1))) (* (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (/ 0 (+ (pow (sqrt 2) 2) 1))))) into 0 11.619 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.622 * [backup-simplify]: Simplify (+ 0 0) into 0 11.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 11.624 * [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 11.626 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 11.626 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 11.627 * [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 11.629 * [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 11.630 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 11.630 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 11.630 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 11.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.632 * [backup-simplify]: Simplify (+ 0 0) into 0 11.633 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.635 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.635 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.636 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 11.636 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 11.640 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 11.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.641 * [backup-simplify]: Simplify (+ 0 0) into 0 11.642 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.644 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.644 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.645 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 11.645 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 11.649 * [backup-simplify]: Simplify (/ (- 11/128 (pow (/ -1/16 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 11.678 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) (+ (* 0 0) (+ (* (/ -1/16 (sqrt 2)) (/ -1/16 (sqrt 2))) (+ (* 0 0) (* (* 1/2 (/ (- 11/128 (* 1/256 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2)))))) into 11/128 11.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.681 * [backup-simplify]: Simplify (+ 0 0) into 0 11.682 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 11.684 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 11.684 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 11.684 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 11.708 * [backup-simplify]: Simplify (- (/ 275/1024 (+ (pow (sqrt 2) 2) 1)) (+ (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (/ 35/128 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ 0 (+ (pow (sqrt 2) 2) 1))) (* (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (/ -3/8 (+ (pow (sqrt 2) 2) 1))) (* 0 (/ 0 (+ (pow (sqrt 2) 2) 1))))) into (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) 11.721 * [backup-simplify]: Simplify (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) into (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) 11.738 * [backup-simplify]: Simplify (+ (* (- (+ (* 27/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 275/1024 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (* 111/512 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2)))) (pow x 6)) (+ (* (- (* 9/64 (/ 1 (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ 1 (+ (pow (sqrt 2) 2) 1)))) (pow x 4)) (* (/ 3/8 (+ (pow (sqrt 2) 2) 1)) (pow x 2)))) into (- (+ (* 275/1024 (/ (pow x 6) (+ (pow (sqrt 2) 2) 1))) (+ (* 3/8 (/ (pow x 2) (+ (pow (sqrt 2) 2) 1))) (+ (* 27/512 (/ (pow x 6) (pow (+ (pow (sqrt 2) 2) 1) 3))) (* 9/64 (/ (pow x 4) (pow (+ (pow (sqrt 2) 2) 1) 2)))))) (+ (* 111/512 (/ (pow x 6) (pow (+ (pow (sqrt 2) 2) 1) 2))) (* 39/128 (/ (pow x 4) (+ (pow (sqrt 2) 2) 1))))) 11.739 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 11.739 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 11.739 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 11.739 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 11.739 * [taylor]: Taking taylor expansion of 1 in x 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 11.739 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 11.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.740 * [taylor]: Taking taylor expansion of 1/2 in x 11.740 * [backup-simplify]: Simplify 1/2 into 1/2 11.740 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.740 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.740 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.740 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.740 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.740 * [taylor]: Taking taylor expansion of 1 in x 11.740 * [backup-simplify]: Simplify 1 into 1 11.740 * [taylor]: Taking taylor expansion of 1 in x 11.740 * [backup-simplify]: Simplify 1 into 1 11.740 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.740 * [taylor]: Taking taylor expansion of x in x 11.740 * [backup-simplify]: Simplify 0 into 0 11.740 * [backup-simplify]: Simplify 1 into 1 11.740 * [backup-simplify]: Simplify (/ 1 1) into 1 11.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.740 * [taylor]: Taking taylor expansion of x in x 11.740 * [backup-simplify]: Simplify 0 into 0 11.741 * [backup-simplify]: Simplify 1 into 1 11.741 * [backup-simplify]: Simplify (/ 1 1) into 1 11.741 * [backup-simplify]: Simplify (* 1 1) into 1 11.742 * [backup-simplify]: Simplify (+ 0 1) into 1 11.742 * [backup-simplify]: Simplify (sqrt 1) into 1 11.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.745 * [backup-simplify]: Simplify (+ 0 0) into 0 11.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.746 * [backup-simplify]: Simplify (/ 1 1) into 1 11.746 * [taylor]: Taking taylor expansion of 1/2 in x 11.746 * [backup-simplify]: Simplify 1/2 into 1/2 11.746 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.747 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 11.747 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 11.747 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 11.748 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.748 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.749 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 11.749 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 11.751 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 11.751 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.751 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 11.751 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 11.751 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.751 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.751 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.751 * [taylor]: Taking taylor expansion of 1/2 in x 11.751 * [backup-simplify]: Simplify 1/2 into 1/2 11.751 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.751 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.751 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.751 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.752 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.752 * [taylor]: Taking taylor expansion of 1 in x 11.752 * [backup-simplify]: Simplify 1 into 1 11.752 * [taylor]: Taking taylor expansion of 1 in x 11.752 * [backup-simplify]: Simplify 1 into 1 11.752 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.752 * [taylor]: Taking taylor expansion of x in x 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify 1 into 1 11.752 * [backup-simplify]: Simplify (/ 1 1) into 1 11.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.752 * [taylor]: Taking taylor expansion of x in x 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify 1 into 1 11.753 * [backup-simplify]: Simplify (/ 1 1) into 1 11.753 * [backup-simplify]: Simplify (* 1 1) into 1 11.753 * [backup-simplify]: Simplify (+ 0 1) into 1 11.754 * [backup-simplify]: Simplify (sqrt 1) into 1 11.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.755 * [backup-simplify]: Simplify (+ 0 0) into 0 11.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.756 * [backup-simplify]: Simplify (/ 1 1) into 1 11.756 * [taylor]: Taking taylor expansion of 1/2 in x 11.756 * [backup-simplify]: Simplify 1/2 into 1/2 11.756 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.756 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.757 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.757 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.758 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.758 * [taylor]: Taking taylor expansion of 1 in x 11.758 * [backup-simplify]: Simplify 1 into 1 11.758 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.759 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.760 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.764 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.765 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.765 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.765 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.765 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.765 * [taylor]: Taking taylor expansion of 1/2 in x 11.765 * [backup-simplify]: Simplify 1/2 into 1/2 11.765 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.765 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.765 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.765 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.765 * [taylor]: Taking taylor expansion of 1 in x 11.765 * [backup-simplify]: Simplify 1 into 1 11.765 * [taylor]: Taking taylor expansion of 1 in x 11.765 * [backup-simplify]: Simplify 1 into 1 11.765 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.765 * [taylor]: Taking taylor expansion of x in x 11.765 * [backup-simplify]: Simplify 0 into 0 11.765 * [backup-simplify]: Simplify 1 into 1 11.766 * [backup-simplify]: Simplify (/ 1 1) into 1 11.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.766 * [taylor]: Taking taylor expansion of x in x 11.766 * [backup-simplify]: Simplify 0 into 0 11.766 * [backup-simplify]: Simplify 1 into 1 11.766 * [backup-simplify]: Simplify (/ 1 1) into 1 11.766 * [backup-simplify]: Simplify (* 1 1) into 1 11.767 * [backup-simplify]: Simplify (+ 0 1) into 1 11.767 * [backup-simplify]: Simplify (sqrt 1) into 1 11.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.770 * [backup-simplify]: Simplify (+ 0 0) into 0 11.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.771 * [backup-simplify]: Simplify (/ 1 1) into 1 11.771 * [taylor]: Taking taylor expansion of 1/2 in x 11.771 * [backup-simplify]: Simplify 1/2 into 1/2 11.771 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.772 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.772 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.772 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.774 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.774 * [taylor]: Taking taylor expansion of 1 in x 11.774 * [backup-simplify]: Simplify 1 into 1 11.775 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.776 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.778 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.782 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.783 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.783 * [taylor]: Taking taylor expansion of 1/2 in x 11.783 * [backup-simplify]: Simplify 1/2 into 1/2 11.783 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.783 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.783 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.783 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.783 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.783 * [taylor]: Taking taylor expansion of 1 in x 11.783 * [backup-simplify]: Simplify 1 into 1 11.783 * [taylor]: Taking taylor expansion of 1 in x 11.783 * [backup-simplify]: Simplify 1 into 1 11.783 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.783 * [taylor]: Taking taylor expansion of x in x 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 1 into 1 11.783 * [backup-simplify]: Simplify (/ 1 1) into 1 11.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.783 * [taylor]: Taking taylor expansion of x in x 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 1 into 1 11.784 * [backup-simplify]: Simplify (/ 1 1) into 1 11.784 * [backup-simplify]: Simplify (* 1 1) into 1 11.785 * [backup-simplify]: Simplify (+ 0 1) into 1 11.785 * [backup-simplify]: Simplify (sqrt 1) into 1 11.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.787 * [backup-simplify]: Simplify (+ 0 0) into 0 11.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.788 * [backup-simplify]: Simplify (/ 1 1) into 1 11.788 * [taylor]: Taking taylor expansion of 1/2 in x 11.788 * [backup-simplify]: Simplify 1/2 into 1/2 11.789 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 11.791 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 11.794 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 11.794 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.796 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 11.799 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 11.799 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 11.799 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 11.799 * [taylor]: Taking taylor expansion of 1 in x 11.799 * [backup-simplify]: Simplify 1 into 1 11.799 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 11.799 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 11.799 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.799 * [taylor]: Taking taylor expansion of 1/2 in x 11.799 * [backup-simplify]: Simplify 1/2 into 1/2 11.799 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.799 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.799 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.799 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.799 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.799 * [taylor]: Taking taylor expansion of 1 in x 11.799 * [backup-simplify]: Simplify 1 into 1 11.799 * [taylor]: Taking taylor expansion of 1 in x 11.799 * [backup-simplify]: Simplify 1 into 1 11.799 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.799 * [taylor]: Taking taylor expansion of x in x 11.799 * [backup-simplify]: Simplify 0 into 0 11.799 * [backup-simplify]: Simplify 1 into 1 11.800 * [backup-simplify]: Simplify (/ 1 1) into 1 11.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.800 * [taylor]: Taking taylor expansion of x in x 11.800 * [backup-simplify]: Simplify 0 into 0 11.800 * [backup-simplify]: Simplify 1 into 1 11.800 * [backup-simplify]: Simplify (/ 1 1) into 1 11.801 * [backup-simplify]: Simplify (* 1 1) into 1 11.801 * [backup-simplify]: Simplify (+ 0 1) into 1 11.801 * [backup-simplify]: Simplify (sqrt 1) into 1 11.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.804 * [backup-simplify]: Simplify (+ 0 0) into 0 11.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.805 * [backup-simplify]: Simplify (/ 1 1) into 1 11.805 * [taylor]: Taking taylor expansion of 1/2 in x 11.805 * [backup-simplify]: Simplify 1/2 into 1/2 11.805 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.806 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 11.806 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 11.806 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 11.807 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.807 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.808 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 11.808 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 11.810 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 11.810 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.810 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 11.810 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 11.810 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.810 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.810 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.810 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.810 * [taylor]: Taking taylor expansion of 1/2 in x 11.810 * [backup-simplify]: Simplify 1/2 into 1/2 11.810 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.810 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.810 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.810 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.810 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.810 * [taylor]: Taking taylor expansion of 1 in x 11.810 * [backup-simplify]: Simplify 1 into 1 11.810 * [taylor]: Taking taylor expansion of 1 in x 11.810 * [backup-simplify]: Simplify 1 into 1 11.810 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.810 * [taylor]: Taking taylor expansion of x in x 11.810 * [backup-simplify]: Simplify 0 into 0 11.810 * [backup-simplify]: Simplify 1 into 1 11.811 * [backup-simplify]: Simplify (/ 1 1) into 1 11.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.811 * [taylor]: Taking taylor expansion of x in x 11.811 * [backup-simplify]: Simplify 0 into 0 11.811 * [backup-simplify]: Simplify 1 into 1 11.816 * [backup-simplify]: Simplify (/ 1 1) into 1 11.817 * [backup-simplify]: Simplify (* 1 1) into 1 11.818 * [backup-simplify]: Simplify (+ 0 1) into 1 11.818 * [backup-simplify]: Simplify (sqrt 1) into 1 11.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.820 * [backup-simplify]: Simplify (+ 0 0) into 0 11.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.821 * [backup-simplify]: Simplify (/ 1 1) into 1 11.821 * [taylor]: Taking taylor expansion of 1/2 in x 11.821 * [backup-simplify]: Simplify 1/2 into 1/2 11.822 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.822 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.822 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.822 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.823 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.823 * [taylor]: Taking taylor expansion of 1 in x 11.823 * [backup-simplify]: Simplify 1 into 1 11.824 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.825 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.826 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.829 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.829 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 11.829 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 11.829 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 11.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.829 * [taylor]: Taking taylor expansion of 1/2 in x 11.829 * [backup-simplify]: Simplify 1/2 into 1/2 11.829 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.829 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.829 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.829 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.829 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.829 * [taylor]: Taking taylor expansion of 1 in x 11.829 * [backup-simplify]: Simplify 1 into 1 11.829 * [taylor]: Taking taylor expansion of 1 in x 11.829 * [backup-simplify]: Simplify 1 into 1 11.829 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.829 * [taylor]: Taking taylor expansion of x in x 11.829 * [backup-simplify]: Simplify 0 into 0 11.829 * [backup-simplify]: Simplify 1 into 1 11.829 * [backup-simplify]: Simplify (/ 1 1) into 1 11.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.829 * [taylor]: Taking taylor expansion of x in x 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.830 * [backup-simplify]: Simplify (/ 1 1) into 1 11.830 * [backup-simplify]: Simplify (* 1 1) into 1 11.831 * [backup-simplify]: Simplify (+ 0 1) into 1 11.831 * [backup-simplify]: Simplify (sqrt 1) into 1 11.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.833 * [backup-simplify]: Simplify (+ 0 0) into 0 11.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.834 * [backup-simplify]: Simplify (/ 1 1) into 1 11.834 * [taylor]: Taking taylor expansion of 1/2 in x 11.834 * [backup-simplify]: Simplify 1/2 into 1/2 11.835 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.835 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.836 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.836 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.837 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 11.837 * [taylor]: Taking taylor expansion of 1 in x 11.837 * [backup-simplify]: Simplify 1 into 1 11.838 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 11.840 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 11.841 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 11.846 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 11.846 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 11.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 11.846 * [taylor]: Taking taylor expansion of 1/2 in x 11.846 * [backup-simplify]: Simplify 1/2 into 1/2 11.846 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 11.846 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.846 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.846 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.846 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.846 * [taylor]: Taking taylor expansion of 1 in x 11.846 * [backup-simplify]: Simplify 1 into 1 11.846 * [taylor]: Taking taylor expansion of 1 in x 11.847 * [backup-simplify]: Simplify 1 into 1 11.847 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.847 * [taylor]: Taking taylor expansion of x in x 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify 1 into 1 11.847 * [backup-simplify]: Simplify (/ 1 1) into 1 11.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.847 * [taylor]: Taking taylor expansion of x in x 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify 1 into 1 11.847 * [backup-simplify]: Simplify (/ 1 1) into 1 11.848 * [backup-simplify]: Simplify (* 1 1) into 1 11.848 * [backup-simplify]: Simplify (+ 0 1) into 1 11.849 * [backup-simplify]: Simplify (sqrt 1) into 1 11.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.851 * [backup-simplify]: Simplify (+ 0 0) into 0 11.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.852 * [backup-simplify]: Simplify (/ 1 1) into 1 11.852 * [taylor]: Taking taylor expansion of 1/2 in x 11.852 * [backup-simplify]: Simplify 1/2 into 1/2 11.853 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 11.854 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 11.857 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 11.858 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.859 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 11.862 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 11.864 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 11.866 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.869 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 11.887 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 11.887 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.888 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.890 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 11.908 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 11.951 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 11.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.953 * [backup-simplify]: Simplify (+ 0 0) into 0 11.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 11.955 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 11.960 * [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))) 11.969 * [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)))) 11.976 * [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)))) 11.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.978 * [backup-simplify]: Simplify (+ 0 0) into 0 11.983 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 11.985 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.004 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 12.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.006 * [backup-simplify]: Simplify (+ 0 0) into 0 12.010 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 12.013 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.032 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 12.098 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.099 * [backup-simplify]: Simplify (+ 0 0) into 0 12.102 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.179 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 12.345 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 12.496 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 x)) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (* 1/4 (/ (sqrt 1/8) (* x (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) 12.496 * [backup-simplify]: Simplify (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1)) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 12.496 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 12.496 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 12.496 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 12.496 * [taylor]: Taking taylor expansion of 1 in x 12.496 * [backup-simplify]: Simplify 1 into 1 12.496 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 12.496 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 12.496 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.497 * [taylor]: Taking taylor expansion of 1/2 in x 12.497 * [backup-simplify]: Simplify 1/2 into 1/2 12.497 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.497 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.497 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.497 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.497 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.497 * [taylor]: Taking taylor expansion of 1 in x 12.497 * [backup-simplify]: Simplify 1 into 1 12.497 * [taylor]: Taking taylor expansion of 1 in x 12.497 * [backup-simplify]: Simplify 1 into 1 12.497 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.497 * [taylor]: Taking taylor expansion of -1 in x 12.497 * [backup-simplify]: Simplify -1 into -1 12.497 * [taylor]: Taking taylor expansion of x in x 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify 1 into 1 12.497 * [backup-simplify]: Simplify (/ -1 1) into -1 12.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.497 * [taylor]: Taking taylor expansion of -1 in x 12.497 * [backup-simplify]: Simplify -1 into -1 12.497 * [taylor]: Taking taylor expansion of x in x 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify 1 into 1 12.498 * [backup-simplify]: Simplify (/ -1 1) into -1 12.498 * [backup-simplify]: Simplify (* -1 -1) into 1 12.498 * [backup-simplify]: Simplify (+ 0 1) into 1 12.498 * [backup-simplify]: Simplify (sqrt 1) into 1 12.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.500 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.500 * [backup-simplify]: Simplify (+ 0 0) into 0 12.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.501 * [backup-simplify]: Simplify (/ 1 1) into 1 12.501 * [taylor]: Taking taylor expansion of 1/2 in x 12.501 * [backup-simplify]: Simplify 1/2 into 1/2 12.501 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.501 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.502 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 12.502 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 12.503 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.503 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.503 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 12.504 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 12.506 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 12.506 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 12.506 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 12.506 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 12.506 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 12.506 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 12.506 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 12.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.506 * [taylor]: Taking taylor expansion of 1/2 in x 12.506 * [backup-simplify]: Simplify 1/2 into 1/2 12.506 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.506 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.506 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.506 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.506 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.506 * [taylor]: Taking taylor expansion of 1 in x 12.506 * [backup-simplify]: Simplify 1 into 1 12.506 * [taylor]: Taking taylor expansion of 1 in x 12.506 * [backup-simplify]: Simplify 1 into 1 12.507 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.507 * [taylor]: Taking taylor expansion of -1 in x 12.507 * [backup-simplify]: Simplify -1 into -1 12.507 * [taylor]: Taking taylor expansion of x in x 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [backup-simplify]: Simplify (/ -1 1) into -1 12.507 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.507 * [taylor]: Taking taylor expansion of -1 in x 12.507 * [backup-simplify]: Simplify -1 into -1 12.507 * [taylor]: Taking taylor expansion of x in x 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.508 * [backup-simplify]: Simplify (/ -1 1) into -1 12.508 * [backup-simplify]: Simplify (* -1 -1) into 1 12.509 * [backup-simplify]: Simplify (+ 0 1) into 1 12.509 * [backup-simplify]: Simplify (sqrt 1) into 1 12.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.512 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.512 * [backup-simplify]: Simplify (+ 0 0) into 0 12.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.513 * [backup-simplify]: Simplify (/ 1 1) into 1 12.513 * [taylor]: Taking taylor expansion of 1/2 in x 12.513 * [backup-simplify]: Simplify 1/2 into 1/2 12.513 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.514 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.514 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.515 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.515 * [taylor]: Taking taylor expansion of 1 in x 12.515 * [backup-simplify]: Simplify 1 into 1 12.516 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.517 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.518 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.521 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.521 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 12.521 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 12.521 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 12.521 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.521 * [taylor]: Taking taylor expansion of 1/2 in x 12.521 * [backup-simplify]: Simplify 1/2 into 1/2 12.521 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.521 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.521 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.521 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.521 * [taylor]: Taking taylor expansion of 1 in x 12.521 * [backup-simplify]: Simplify 1 into 1 12.521 * [taylor]: Taking taylor expansion of 1 in x 12.521 * [backup-simplify]: Simplify 1 into 1 12.521 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.521 * [taylor]: Taking taylor expansion of -1 in x 12.521 * [backup-simplify]: Simplify -1 into -1 12.521 * [taylor]: Taking taylor expansion of x in x 12.521 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify 1 into 1 12.522 * [backup-simplify]: Simplify (/ -1 1) into -1 12.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.522 * [taylor]: Taking taylor expansion of -1 in x 12.522 * [backup-simplify]: Simplify -1 into -1 12.522 * [taylor]: Taking taylor expansion of x in x 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 1 into 1 12.522 * [backup-simplify]: Simplify (/ -1 1) into -1 12.522 * [backup-simplify]: Simplify (* -1 -1) into 1 12.522 * [backup-simplify]: Simplify (+ 0 1) into 1 12.523 * [backup-simplify]: Simplify (sqrt 1) into 1 12.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.524 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.524 * [backup-simplify]: Simplify (+ 0 0) into 0 12.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.525 * [backup-simplify]: Simplify (/ 1 1) into 1 12.525 * [taylor]: Taking taylor expansion of 1/2 in x 12.525 * [backup-simplify]: Simplify 1/2 into 1/2 12.525 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.526 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.526 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.526 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.527 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.527 * [taylor]: Taking taylor expansion of 1 in x 12.527 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.529 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.530 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.533 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.533 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.533 * [taylor]: Taking taylor expansion of 1/2 in x 12.533 * [backup-simplify]: Simplify 1/2 into 1/2 12.533 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.533 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.533 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.533 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.533 * [taylor]: Taking taylor expansion of 1 in x 12.533 * [backup-simplify]: Simplify 1 into 1 12.533 * [taylor]: Taking taylor expansion of 1 in x 12.533 * [backup-simplify]: Simplify 1 into 1 12.533 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.533 * [taylor]: Taking taylor expansion of -1 in x 12.533 * [backup-simplify]: Simplify -1 into -1 12.533 * [taylor]: Taking taylor expansion of x in x 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify (/ -1 1) into -1 12.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.539 * [taylor]: Taking taylor expansion of -1 in x 12.539 * [backup-simplify]: Simplify -1 into -1 12.539 * [taylor]: Taking taylor expansion of x in x 12.539 * [backup-simplify]: Simplify 0 into 0 12.539 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify (/ -1 1) into -1 12.540 * [backup-simplify]: Simplify (* -1 -1) into 1 12.541 * [backup-simplify]: Simplify (+ 0 1) into 1 12.541 * [backup-simplify]: Simplify (sqrt 1) into 1 12.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.543 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.544 * [backup-simplify]: Simplify (+ 0 0) into 0 12.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.545 * [backup-simplify]: Simplify (/ 1 1) into 1 12.545 * [taylor]: Taking taylor expansion of 1/2 in x 12.545 * [backup-simplify]: Simplify 1/2 into 1/2 12.546 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 12.548 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 12.551 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 12.552 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.554 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 12.556 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 12.556 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 12.556 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 12.556 * [taylor]: Taking taylor expansion of 1 in x 12.557 * [backup-simplify]: Simplify 1 into 1 12.557 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 12.557 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 12.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.557 * [taylor]: Taking taylor expansion of 1/2 in x 12.557 * [backup-simplify]: Simplify 1/2 into 1/2 12.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.557 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.557 * [taylor]: Taking taylor expansion of 1 in x 12.557 * [backup-simplify]: Simplify 1 into 1 12.557 * [taylor]: Taking taylor expansion of 1 in x 12.557 * [backup-simplify]: Simplify 1 into 1 12.557 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.557 * [taylor]: Taking taylor expansion of -1 in x 12.557 * [backup-simplify]: Simplify -1 into -1 12.557 * [taylor]: Taking taylor expansion of x in x 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 1 into 1 12.558 * [backup-simplify]: Simplify (/ -1 1) into -1 12.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.558 * [taylor]: Taking taylor expansion of -1 in x 12.558 * [backup-simplify]: Simplify -1 into -1 12.558 * [taylor]: Taking taylor expansion of x in x 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify 1 into 1 12.558 * [backup-simplify]: Simplify (/ -1 1) into -1 12.559 * [backup-simplify]: Simplify (* -1 -1) into 1 12.559 * [backup-simplify]: Simplify (+ 0 1) into 1 12.560 * [backup-simplify]: Simplify (sqrt 1) into 1 12.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.562 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.562 * [backup-simplify]: Simplify (+ 0 0) into 0 12.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.564 * [backup-simplify]: Simplify (/ 1 1) into 1 12.564 * [taylor]: Taking taylor expansion of 1/2 in x 12.564 * [backup-simplify]: Simplify 1/2 into 1/2 12.564 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.564 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.565 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 12.565 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 12.566 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.566 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.567 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 12.567 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 12.569 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 12.569 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 12.569 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 12.569 * [taylor]: Taking taylor expansion of (* (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 12.569 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 12.569 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 12.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 12.569 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.569 * [taylor]: Taking taylor expansion of 1/2 in x 12.569 * [backup-simplify]: Simplify 1/2 into 1/2 12.569 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.569 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.569 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.569 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.569 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.570 * [taylor]: Taking taylor expansion of 1 in x 12.570 * [backup-simplify]: Simplify 1 into 1 12.570 * [taylor]: Taking taylor expansion of 1 in x 12.570 * [backup-simplify]: Simplify 1 into 1 12.570 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.570 * [taylor]: Taking taylor expansion of -1 in x 12.570 * [backup-simplify]: Simplify -1 into -1 12.570 * [taylor]: Taking taylor expansion of x in x 12.570 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify 1 into 1 12.570 * [backup-simplify]: Simplify (/ -1 1) into -1 12.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.570 * [taylor]: Taking taylor expansion of -1 in x 12.570 * [backup-simplify]: Simplify -1 into -1 12.570 * [taylor]: Taking taylor expansion of x in x 12.570 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify 1 into 1 12.571 * [backup-simplify]: Simplify (/ -1 1) into -1 12.571 * [backup-simplify]: Simplify (* -1 -1) into 1 12.572 * [backup-simplify]: Simplify (+ 0 1) into 1 12.572 * [backup-simplify]: Simplify (sqrt 1) into 1 12.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.574 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.575 * [backup-simplify]: Simplify (+ 0 0) into 0 12.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.576 * [backup-simplify]: Simplify (/ 1 1) into 1 12.576 * [taylor]: Taking taylor expansion of 1/2 in x 12.576 * [backup-simplify]: Simplify 1/2 into 1/2 12.576 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.577 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.577 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.578 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.579 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.579 * [taylor]: Taking taylor expansion of 1 in x 12.579 * [backup-simplify]: Simplify 1 into 1 12.580 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.581 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.583 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.588 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.589 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 12.589 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 12.589 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 12.589 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.589 * [taylor]: Taking taylor expansion of 1/2 in x 12.589 * [backup-simplify]: Simplify 1/2 into 1/2 12.589 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.589 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.589 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.589 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.589 * [taylor]: Taking taylor expansion of 1 in x 12.589 * [backup-simplify]: Simplify 1 into 1 12.589 * [taylor]: Taking taylor expansion of 1 in x 12.589 * [backup-simplify]: Simplify 1 into 1 12.589 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.589 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.589 * [taylor]: Taking taylor expansion of -1 in x 12.589 * [backup-simplify]: Simplify -1 into -1 12.589 * [taylor]: Taking taylor expansion of x in x 12.589 * [backup-simplify]: Simplify 0 into 0 12.589 * [backup-simplify]: Simplify 1 into 1 12.590 * [backup-simplify]: Simplify (/ -1 1) into -1 12.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.590 * [taylor]: Taking taylor expansion of -1 in x 12.590 * [backup-simplify]: Simplify -1 into -1 12.590 * [taylor]: Taking taylor expansion of x in x 12.590 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify 1 into 1 12.590 * [backup-simplify]: Simplify (/ -1 1) into -1 12.591 * [backup-simplify]: Simplify (* -1 -1) into 1 12.591 * [backup-simplify]: Simplify (+ 0 1) into 1 12.591 * [backup-simplify]: Simplify (sqrt 1) into 1 12.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.594 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.594 * [backup-simplify]: Simplify (+ 0 0) into 0 12.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.595 * [backup-simplify]: Simplify (/ 1 1) into 1 12.595 * [taylor]: Taking taylor expansion of 1/2 in x 12.595 * [backup-simplify]: Simplify 1/2 into 1/2 12.596 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.596 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.597 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.597 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.599 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 12.599 * [taylor]: Taking taylor expansion of 1 in x 12.599 * [backup-simplify]: Simplify 1 into 1 12.600 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 12.602 * [backup-simplify]: Simplify (sqrt (+ (sqrt 1/2) 1)) into (sqrt (+ (sqrt 1/2) 1)) 12.603 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 12.609 * [backup-simplify]: Simplify (/ (* 1/4 (/ 1 (sqrt 1/2))) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 12.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 12.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.609 * [taylor]: Taking taylor expansion of 1/2 in x 12.609 * [backup-simplify]: Simplify 1/2 into 1/2 12.609 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.609 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.609 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.609 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.609 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.609 * [taylor]: Taking taylor expansion of 1 in x 12.609 * [backup-simplify]: Simplify 1 into 1 12.609 * [taylor]: Taking taylor expansion of 1 in x 12.609 * [backup-simplify]: Simplify 1 into 1 12.609 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.609 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.609 * [taylor]: Taking taylor expansion of -1 in x 12.609 * [backup-simplify]: Simplify -1 into -1 12.609 * [taylor]: Taking taylor expansion of x in x 12.609 * [backup-simplify]: Simplify 0 into 0 12.609 * [backup-simplify]: Simplify 1 into 1 12.610 * [backup-simplify]: Simplify (/ -1 1) into -1 12.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.610 * [taylor]: Taking taylor expansion of -1 in x 12.610 * [backup-simplify]: Simplify -1 into -1 12.610 * [taylor]: Taking taylor expansion of x in x 12.610 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify 1 into 1 12.610 * [backup-simplify]: Simplify (/ -1 1) into -1 12.611 * [backup-simplify]: Simplify (* -1 -1) into 1 12.611 * [backup-simplify]: Simplify (+ 0 1) into 1 12.612 * [backup-simplify]: Simplify (sqrt 1) into 1 12.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.614 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.614 * [backup-simplify]: Simplify (+ 0 0) into 0 12.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.615 * [backup-simplify]: Simplify (/ 1 1) into 1 12.615 * [taylor]: Taking taylor expansion of 1/2 in x 12.615 * [backup-simplify]: Simplify 1/2 into 1/2 12.616 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 12.617 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 12.621 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1/2) 1)) (sqrt (+ (sqrt 1/2) 1))) into (+ (sqrt 1/2) 1) 12.622 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 12.623 * [backup-simplify]: Simplify (+ (+ (sqrt 1/2) 1) 1/2) into (+ (sqrt 1/2) 3/2) 12.626 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 12.629 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 12.630 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 12.634 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 12.652 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (sqrt (+ (sqrt 1/2) 1)))) into (* 1/4 (/ 1 (sqrt 1/2))) 12.652 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.652 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 12.654 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 12.670 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 12.699 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 12.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.702 * [backup-simplify]: Simplify (+ 0 0) into 0 12.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 12.704 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 12.709 * [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))) 12.719 * [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)))) 12.727 * [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)))) 12.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.729 * [backup-simplify]: Simplify (+ 0 0) into 0 12.734 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 12.737 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.751 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 12.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.752 * [backup-simplify]: Simplify (+ 0 0) into 0 12.756 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 12.758 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.769 * [backup-simplify]: Simplify (/ (- (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) 2) (+)) (* 2 (sqrt (+ (sqrt 1/2) 1)))) into (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) 12.829 * [backup-simplify]: Simplify (+ (* (sqrt (+ (sqrt 1/2) 1)) (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2)))) (* 1/8 (* (sqrt (/ 1 (+ (sqrt 1/2) 1))) (/ 1 (sqrt 1/2))))) (* (* -1/2 (* (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (+ (sqrt 1/2) 1) (pow (sqrt 1/2) 2))))) (sqrt (/ 1 (+ (sqrt 1/2) 1))))) (sqrt (+ (sqrt 1/2) 1))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.830 * [backup-simplify]: Simplify (+ 0 0) into 0 12.833 * [backup-simplify]: Simplify (+ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 12.919 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 13.072 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 13.225 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 (- x))) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) 13.225 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 13.226 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) 13.226 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in (x) around 0 13.226 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 13.226 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 13.226 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 13.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.226 * [taylor]: Taking taylor expansion of 1/2 in x 13.226 * [backup-simplify]: Simplify 1/2 into 1/2 13.226 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.226 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.226 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.226 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.226 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.226 * [taylor]: Taking taylor expansion of 1 in x 13.226 * [backup-simplify]: Simplify 1 into 1 13.226 * [taylor]: Taking taylor expansion of 1 in x 13.226 * [backup-simplify]: Simplify 1 into 1 13.226 * [taylor]: Taking taylor expansion of (* x x) in x 13.226 * [taylor]: Taking taylor expansion of x in x 13.226 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify 1 into 1 13.226 * [taylor]: Taking taylor expansion of x in x 13.226 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify 1 into 1 13.226 * [backup-simplify]: Simplify (* 1 1) into 1 13.226 * [backup-simplify]: Simplify (* 0 0) into 0 13.227 * [backup-simplify]: Simplify (+ 1 0) into 1 13.227 * [backup-simplify]: Simplify (sqrt 1) into 1 13.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.228 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.228 * [backup-simplify]: Simplify (+ 0 0) into 0 13.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.229 * [backup-simplify]: Simplify (/ 1 1) into 1 13.229 * [taylor]: Taking taylor expansion of 1/2 in x 13.229 * [backup-simplify]: Simplify 1/2 into 1/2 13.229 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.229 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 13.230 * [backup-simplify]: Simplify (* 1 1) into 1 13.230 * [backup-simplify]: Simplify (* 1 1) into 1 13.230 * [backup-simplify]: Simplify (sqrt 1) into 1 13.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.232 * [backup-simplify]: Simplify (+ 0 0) into 0 13.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.234 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 13.234 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 13.234 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 13.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.235 * [taylor]: Taking taylor expansion of 1/2 in x 13.235 * [backup-simplify]: Simplify 1/2 into 1/2 13.235 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.235 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.235 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.235 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.235 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.235 * [taylor]: Taking taylor expansion of 1 in x 13.235 * [backup-simplify]: Simplify 1 into 1 13.235 * [taylor]: Taking taylor expansion of 1 in x 13.235 * [backup-simplify]: Simplify 1 into 1 13.235 * [taylor]: Taking taylor expansion of (* x x) in x 13.235 * [taylor]: Taking taylor expansion of x in x 13.235 * [backup-simplify]: Simplify 0 into 0 13.235 * [backup-simplify]: Simplify 1 into 1 13.235 * [taylor]: Taking taylor expansion of x in x 13.235 * [backup-simplify]: Simplify 0 into 0 13.235 * [backup-simplify]: Simplify 1 into 1 13.235 * [backup-simplify]: Simplify (* 1 1) into 1 13.236 * [backup-simplify]: Simplify (* 0 0) into 0 13.236 * [backup-simplify]: Simplify (+ 1 0) into 1 13.237 * [backup-simplify]: Simplify (sqrt 1) into 1 13.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.238 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.238 * [backup-simplify]: Simplify (+ 0 0) into 0 13.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.238 * [backup-simplify]: Simplify (/ 1 1) into 1 13.238 * [taylor]: Taking taylor expansion of 1/2 in x 13.238 * [backup-simplify]: Simplify 1/2 into 1/2 13.239 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.239 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 13.239 * [backup-simplify]: Simplify (* 1 1) into 1 13.239 * [backup-simplify]: Simplify (* 1 1) into 1 13.240 * [backup-simplify]: Simplify (sqrt 1) into 1 13.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.241 * [backup-simplify]: Simplify (+ 0 0) into 0 13.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.242 * [backup-simplify]: Simplify 1 into 1 13.242 * [backup-simplify]: Simplify 0 into 0 13.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.248 * [backup-simplify]: Simplify (+ 0 1) into 1 13.249 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.250 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.250 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 13.251 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 13.252 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 13.252 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 13.252 * [backup-simplify]: Simplify -3/8 into -3/8 13.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.254 * [backup-simplify]: Simplify (+ 0 0) into 0 13.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.256 * [backup-simplify]: Simplify (+ 0 0) into 0 13.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 13.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 13.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 13.259 * [backup-simplify]: Simplify 0 into 0 13.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.260 * [backup-simplify]: Simplify (+ 0 0) into 0 13.261 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.265 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.265 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 13.267 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 13.269 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 13.271 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 13.271 * [backup-simplify]: Simplify 39/128 into 39/128 13.271 * [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))) 13.271 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) 13.271 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in (x) around 0 13.271 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 13.271 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 13.271 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 13.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.271 * [taylor]: Taking taylor expansion of 1/2 in x 13.271 * [backup-simplify]: Simplify 1/2 into 1/2 13.271 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.272 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.272 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.272 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.272 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.272 * [taylor]: Taking taylor expansion of 1 in x 13.272 * [backup-simplify]: Simplify 1 into 1 13.272 * [taylor]: Taking taylor expansion of 1 in x 13.272 * [backup-simplify]: Simplify 1 into 1 13.272 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.272 * [taylor]: Taking taylor expansion of x in x 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify 1 into 1 13.272 * [backup-simplify]: Simplify (/ 1 1) into 1 13.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.272 * [taylor]: Taking taylor expansion of x in x 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify 1 into 1 13.273 * [backup-simplify]: Simplify (/ 1 1) into 1 13.273 * [backup-simplify]: Simplify (* 1 1) into 1 13.274 * [backup-simplify]: Simplify (+ 0 1) into 1 13.274 * [backup-simplify]: Simplify (sqrt 1) into 1 13.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.277 * [backup-simplify]: Simplify (+ 0 0) into 0 13.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.278 * [backup-simplify]: Simplify (/ 1 1) into 1 13.278 * [taylor]: Taking taylor expansion of 1/2 in x 13.278 * [backup-simplify]: Simplify 1/2 into 1/2 13.278 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.279 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.279 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.279 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.280 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.280 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.281 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.281 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.283 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.283 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 13.283 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 13.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 13.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.283 * [taylor]: Taking taylor expansion of 1/2 in x 13.283 * [backup-simplify]: Simplify 1/2 into 1/2 13.283 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.283 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.283 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.283 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.283 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.283 * [taylor]: Taking taylor expansion of 1 in x 13.283 * [backup-simplify]: Simplify 1 into 1 13.283 * [taylor]: Taking taylor expansion of 1 in x 13.284 * [backup-simplify]: Simplify 1 into 1 13.284 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.284 * [taylor]: Taking taylor expansion of x in x 13.284 * [backup-simplify]: Simplify 0 into 0 13.284 * [backup-simplify]: Simplify 1 into 1 13.284 * [backup-simplify]: Simplify (/ 1 1) into 1 13.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.284 * [taylor]: Taking taylor expansion of x in x 13.284 * [backup-simplify]: Simplify 0 into 0 13.284 * [backup-simplify]: Simplify 1 into 1 13.284 * [backup-simplify]: Simplify (/ 1 1) into 1 13.285 * [backup-simplify]: Simplify (* 1 1) into 1 13.285 * [backup-simplify]: Simplify (+ 0 1) into 1 13.286 * [backup-simplify]: Simplify (sqrt 1) into 1 13.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.288 * [backup-simplify]: Simplify (+ 0 0) into 0 13.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.289 * [backup-simplify]: Simplify (/ 1 1) into 1 13.289 * [taylor]: Taking taylor expansion of 1/2 in x 13.289 * [backup-simplify]: Simplify 1/2 into 1/2 13.290 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.290 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.291 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.291 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.291 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.292 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.292 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.293 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.295 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.295 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.296 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 13.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.298 * [backup-simplify]: Simplify (+ 0 0) into 0 13.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 13.300 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 13.305 * [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))) 13.312 * [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))) 13.321 * [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))))) 13.322 * [backup-simplify]: Simplify (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) 13.322 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in (x) around 0 13.322 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 13.322 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 13.322 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.322 * [taylor]: Taking taylor expansion of 1/2 in x 13.322 * [backup-simplify]: Simplify 1/2 into 1/2 13.322 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.322 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.322 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.322 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.322 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.322 * [taylor]: Taking taylor expansion of 1 in x 13.323 * [backup-simplify]: Simplify 1 into 1 13.323 * [taylor]: Taking taylor expansion of 1 in x 13.323 * [backup-simplify]: Simplify 1 into 1 13.323 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.323 * [taylor]: Taking taylor expansion of -1 in x 13.323 * [backup-simplify]: Simplify -1 into -1 13.323 * [taylor]: Taking taylor expansion of x in x 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify 1 into 1 13.323 * [backup-simplify]: Simplify (/ -1 1) into -1 13.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.323 * [taylor]: Taking taylor expansion of -1 in x 13.323 * [backup-simplify]: Simplify -1 into -1 13.323 * [taylor]: Taking taylor expansion of x in x 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify 1 into 1 13.324 * [backup-simplify]: Simplify (/ -1 1) into -1 13.324 * [backup-simplify]: Simplify (* -1 -1) into 1 13.325 * [backup-simplify]: Simplify (+ 0 1) into 1 13.325 * [backup-simplify]: Simplify (sqrt 1) into 1 13.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.328 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.328 * [backup-simplify]: Simplify (+ 0 0) into 0 13.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.329 * [backup-simplify]: Simplify (/ 1 1) into 1 13.329 * [taylor]: Taking taylor expansion of 1/2 in x 13.329 * [backup-simplify]: Simplify 1/2 into 1/2 13.330 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.330 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.331 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.331 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.331 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.332 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.332 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.333 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.335 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.335 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 13.335 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 13.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 13.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.335 * [taylor]: Taking taylor expansion of 1/2 in x 13.335 * [backup-simplify]: Simplify 1/2 into 1/2 13.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.335 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.335 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.335 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.335 * [taylor]: Taking taylor expansion of 1 in x 13.335 * [backup-simplify]: Simplify 1 into 1 13.335 * [taylor]: Taking taylor expansion of 1 in x 13.335 * [backup-simplify]: Simplify 1 into 1 13.335 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.336 * [taylor]: Taking taylor expansion of -1 in x 13.336 * [backup-simplify]: Simplify -1 into -1 13.336 * [taylor]: Taking taylor expansion of x in x 13.336 * [backup-simplify]: Simplify 0 into 0 13.336 * [backup-simplify]: Simplify 1 into 1 13.336 * [backup-simplify]: Simplify (/ -1 1) into -1 13.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.336 * [taylor]: Taking taylor expansion of -1 in x 13.336 * [backup-simplify]: Simplify -1 into -1 13.336 * [taylor]: Taking taylor expansion of x in x 13.336 * [backup-simplify]: Simplify 0 into 0 13.336 * [backup-simplify]: Simplify 1 into 1 13.337 * [backup-simplify]: Simplify (/ -1 1) into -1 13.337 * [backup-simplify]: Simplify (* -1 -1) into 1 13.338 * [backup-simplify]: Simplify (+ 0 1) into 1 13.338 * [backup-simplify]: Simplify (sqrt 1) into 1 13.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.341 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.341 * [backup-simplify]: Simplify (+ 0 0) into 0 13.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.342 * [backup-simplify]: Simplify (/ 1 1) into 1 13.342 * [taylor]: Taking taylor expansion of 1/2 in x 13.342 * [backup-simplify]: Simplify 1/2 into 1/2 13.343 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.343 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.344 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 13.344 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.345 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.345 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.346 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 13.346 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 13.348 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 13.349 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 13.350 * [backup-simplify]: Simplify (/ 3/16 (sqrt 1/8)) into (/ 3/16 (sqrt 1/8)) 13.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.351 * [backup-simplify]: Simplify (+ 0 0) into 0 13.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 13.352 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 13.357 * [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))) 13.364 * [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))) 13.372 * [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)))))) 13.373 * * * [progress]: simplifying candidates 13.373 * * * * [progress]: [ 1 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 2 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 3 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 4 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 5 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 6 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 7 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 8 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 9 / 121 ] simplifiying candidate # 13.373 * * * * [progress]: [ 10 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 11 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 12 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 13 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 14 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 15 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 16 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 17 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 18 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 19 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 20 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 21 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 22 / 121 ] simplifiying candidate # 13.374 * * * * [progress]: [ 23 / 121 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))> 13.375 * * * * [progress]: [ 24 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 25 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 26 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 27 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 28 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 29 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 30 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 31 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 32 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 33 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 34 / 121 ] simplifiying candidate #real (real->posit16 (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 13.375 * * * * [progress]: [ 35 / 121 ] simplifiying candidate # 13.375 * * * * [progress]: [ 36 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 37 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 38 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 39 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 40 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 41 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 42 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 43 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 44 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 45 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 46 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 47 / 121 ] simplifiying candidate # 13.376 * * * * [progress]: [ 48 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 49 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 50 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 51 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 52 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 53 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 54 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 55 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 56 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 57 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 58 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 59 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 60 / 121 ] simplifiying candidate # 13.377 * * * * [progress]: [ 61 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 62 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 63 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 64 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 65 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 66 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 67 / 121 ] simplifiying candidate #real (real->posit16 (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 13.378 * * * * [progress]: [ 68 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 69 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 70 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 71 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 72 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 73 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 74 / 121 ] simplifiying candidate # 13.378 * * * * [progress]: [ 75 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 76 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 77 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 78 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 79 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 80 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 81 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 82 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 83 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 84 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 85 / 121 ] simplifiying candidate # 13.379 * * * * [progress]: [ 86 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 87 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 88 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 89 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 90 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 91 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 92 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 93 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 94 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 95 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 96 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 97 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 98 / 121 ] simplifiying candidate # 13.380 * * * * [progress]: [ 99 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 100 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 101 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 102 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 103 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 104 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 105 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 106 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 107 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 108 / 121 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))))> 13.381 * * * * [progress]: [ 109 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 110 / 121 ] simplifiying candidate # 13.381 * * * * [progress]: [ 111 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 112 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 113 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 114 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 115 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 116 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 117 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 118 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 119 / 121 ] simplifiying candidate # 13.382 * * * * [progress]: [ 120 / 121 ] simplifiying candidate # 13.383 * * * * [progress]: [ 121 / 121 ] simplifiying candidate # 13.392 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 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)))))) (fma (sqrt 1) (sqrt 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)))))) (fma 1 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 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (* (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))))) (/ (exp 1) (exp (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (pow 1 3) (pow (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3)) (+ (* 1 1) (+ (* (* (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)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (* 1 1) (* (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1/2)) (- 1 (* 1/2 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (log1p (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (log (fma (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (fma (sqrt (+ (sqrt (+ 1/2 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15.341 * * [simplify]: Extracting #2: cost 1013 inf + 17 15.354 * * [simplify]: Extracting #3: cost 1301 inf + 5951 15.386 * * [simplify]: Extracting #4: cost 1155 inf + 58372 15.464 * * [simplify]: Extracting #5: cost 745 inf + 180180 15.592 * * [simplify]: Extracting #6: cost 348 inf + 352444 15.802 * * [simplify]: Extracting #7: cost 86 inf + 531916 16.106 * * [simplify]: Extracting #8: cost 6 inf + 609770 16.469 * * [simplify]: Extracting #9: cost 0 inf + 613889 16.789 * * [simplify]: Extracting #10: cost 0 inf + 611302 17.193 * * [simplify]: Extracting #11: cost 0 inf + 611212 17.596 * [simplify]: Simplified to: (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (- (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (sqrt (+ 1/2 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(hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (+ 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))))) 3/2 3/2 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) 3/2 3/2 (log (* (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))))) (* (* (* (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))))) (* (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))))) (* (+ (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1/8) (sqrt (+ (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1/8))) (* (sqrt (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (* (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x))) (sqrt (fma (/ (/ 1/4 (hypot 1 x)) (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)) 1/2) 1/4))) (* (sqrt (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (fma (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)) (/ 1/2 (hypot 1 x)) 1/8)) (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (- (/ 1/2 (hypot 1 x)) 1/2) 1/4)) (* (sqrt (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (- 1/4 (/ (/ 1/4 (hypot 1 x)) (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)))))) (* (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)))) 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)))) (/ 1/2 (hypot 1 x))) (* (* (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 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(+ (- 1 (fma (/ 3/16 (* x x)) (/ 1 (sqrt 1/8)) (fma (/ 3/16 x) (/ 1 (sqrt 1/8)) (sqrt 1/8)))) (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8))) (+ (+ (/ (/ 3/16 x) (sqrt 1/8)) 1) (- (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8)) (+ (/ (/ 3/16 (* x x)) (sqrt 1/8)) (sqrt 1/8)))) (fma -3/8 (* x x) (+ 3 (* 35/128 (* (* x x) (* x x))))) (- (+ (+ (/ 1/2 x) (fma (/ 1/2 (sqrt 1/2)) (/ 1/2 x) (sqrt 1/2))) 3/2) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (- (- (+ 3/2 (- (sqrt 1/2) (/ 1/2 x))) (/ 1/4 (* (sqrt 1/2) x))) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (fma 275/1024 (/ (* x (* x x)) (/ 3 (* x (* x x)))) (+ (+ (* 9/512 (/ (* (* x (* x x)) (* x (* x x))) 9)) (/ (* x x) 8)) (- (* 3/64 (/ (* (* x x) (* x x)) 3)) (fma 39/128 (/ (* (* x x) (* x x)) 3) (* 37/512 (/ (* x (* x x)) (/ 3 (* x (* x x))))))))) (- (+ (+ (/ 3/64 (* (* (sqrt 1/8) (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))) (sqrt 1/2))) (+ (+ (fma (/ 1/2 x) (/ (sqrt 1/8) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (+ (+ (/ (/ 1/16 (* (* x x) 1/2)) (* (+ (sqrt 1/2) 3/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))) (/ (/ 1/4 (* (* (+ (sqrt 1/2) 3/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (sqrt 1/2))) (* x x))) (+ (fma (/ 1/4 (* (sqrt 1/2) x)) (/ (sqrt 1/8) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (/ 1/32 (* (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)) (* (* (* x x) 1/2) (sqrt 1/2))))) (/ (/ 9/512 (* (* x x) (+ (sqrt 1/2) 3/2))) (* (sqrt 1/8) 1/8))))) (/ (/ 3/32 (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))) (sqrt 1/8))) (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))))) (/ 1 (+ (sqrt 1/2) 3/2))) (+ (fma (/ 3/16 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))) (/ 1 (* x x)) (+ (fma (/ 1/16 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (sqrt 1/8) 1/2) (/ (/ 1/2 x) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))) (+ (fma (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (sqrt 1/8) (sqrt 1/2)) (+ (fma 1/4 (/ (sqrt 1/8) (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (* (sqrt 1/8) 1/32) (* (* (sqrt 1/2) 1/2) (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))))) (/ (/ 1/4 x) (* (sqrt 1/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))))) (/ (/ 3/16 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))) x)))) (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)))) (+ (+ (+ (+ (/ 3/64 (* (* (* x x) (sqrt 1/8)) (* (sqrt 1/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))))) (+ (/ (/ 1/2 x) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))) (/ 3/32 (* (* (* x x) (sqrt 1/8)) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)))))) (+ (+ (fma (/ 1/16 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) 2 (/ (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (sqrt 1/2))) (+ (+ (/ (/ 3/16 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))) x) (/ (/ 1/4 x) (* (sqrt 1/2) (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2))))) (/ (/ 1/32 (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))) (* (sqrt 1/2) 1/2)))) (/ (/ 9/512 (* (* x x) (+ (sqrt 1/2) 3/2))) (* (sqrt 1/8) 1/8)))) (- (/ 1/4 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (+ (+ (/ 3/16 (* (* (* x x) (sqrt 1/8)) (+ (sqrt 1/2) 3/2))) (fma (/ 1/16 (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (sqrt 1/8) 1/2) (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)))) (fma (/ 1/4 (* (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)) x)) (/ (sqrt 1/8) (sqrt 1/2)) (fma 1/4 (/ (sqrt 1/8) (* (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2)) (sqrt 1/2))) (fma (/ (sqrt 1/8) (* (* (+ (sqrt 1/2) 3/2) (+ (sqrt 1/2) 3/2)) x)) 1/2 (fma 1/4 (/ (sqrt 1/8) (* (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x)) (+ (sqrt 1/2) 3/2))) (/ (* (sqrt 1/8) 1/32) (* (* (sqrt 1/2) 1/2) (* (* (+ (sqrt 1/2) 3/2) x) (* (+ (sqrt 1/2) 3/2) x))))))))))) (/ 1 (+ (sqrt 1/2) 3/2))) (fma (* (* x x) (* x x)) 39/128 (- 1 (* 3/8 (* x x)))) (+ (/ -9/512 (* (* (* x x) (sqrt 1/8)) 1/8)) (fma (/ 3/16 (* x x)) (/ 1 (sqrt 1/8)) (fma (/ 3/16 x) (/ 1 (sqrt 1/8)) (sqrt 1/8)))) (- (- (+ (/ (/ 3/16 (* x x)) (sqrt 1/8)) (sqrt 1/8)) (/ (/ 3/16 x) (sqrt 1/8))) (/ (/ 9/512 (* x x)) (* (sqrt 1/8) 1/8))) 17.612 * * * [progress]: adding candidates to table 18.382 * * [progress]: iteration 4 / 4 18.382 * * * [progress]: picking best candidate 18.393 * * * * [pick]: Picked # 18.393 * * * [progress]: localizing error 18.467 * * * [progress]: generating rewritten candidates 18.467 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 18.472 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 18.477 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 18.486 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 19.076 * * * [progress]: generating series expansions 19.076 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 19.076 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 19.076 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 19.076 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.076 * [taylor]: Taking taylor expansion of 1 in x 19.076 * [backup-simplify]: Simplify 1 into 1 19.076 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.076 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.076 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.077 * [taylor]: Taking taylor expansion of 1/2 in x 19.077 * [backup-simplify]: Simplify 1/2 into 1/2 19.077 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.077 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.077 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.077 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.077 * [taylor]: Taking taylor expansion of 1 in x 19.077 * [backup-simplify]: Simplify 1 into 1 19.077 * [taylor]: Taking taylor expansion of 1 in x 19.077 * [backup-simplify]: Simplify 1 into 1 19.077 * [taylor]: Taking taylor expansion of (* x x) in x 19.077 * [taylor]: Taking taylor expansion of x in x 19.077 * [backup-simplify]: Simplify 0 into 0 19.077 * [backup-simplify]: Simplify 1 into 1 19.077 * [taylor]: Taking taylor expansion of x in x 19.077 * [backup-simplify]: Simplify 0 into 0 19.077 * [backup-simplify]: Simplify 1 into 1 19.078 * [backup-simplify]: Simplify (* 1 1) into 1 19.079 * [backup-simplify]: Simplify (* 0 0) into 0 19.079 * [backup-simplify]: Simplify (+ 1 0) into 1 19.079 * [backup-simplify]: Simplify (sqrt 1) into 1 19.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.081 * [backup-simplify]: Simplify (+ 0 0) into 0 19.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.082 * [backup-simplify]: Simplify (/ 1 1) into 1 19.082 * [taylor]: Taking taylor expansion of 1/2 in x 19.083 * [backup-simplify]: Simplify 1/2 into 1/2 19.083 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.083 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.084 * [backup-simplify]: Simplify (* 1 1) into 1 19.084 * [backup-simplify]: Simplify (* 1 1) into 1 19.085 * [backup-simplify]: Simplify (sqrt 1) into 1 19.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.086 * [backup-simplify]: Simplify (+ 0 0) into 0 19.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.087 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.087 * [taylor]: Taking taylor expansion of 1 in x 19.087 * [backup-simplify]: Simplify 1 into 1 19.087 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.087 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.087 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.087 * [taylor]: Taking taylor expansion of 1/2 in x 19.087 * [backup-simplify]: Simplify 1/2 into 1/2 19.087 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.087 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.087 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.087 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.087 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.087 * [taylor]: Taking taylor expansion of 1 in x 19.087 * [backup-simplify]: Simplify 1 into 1 19.088 * [taylor]: Taking taylor expansion of 1 in x 19.088 * [backup-simplify]: Simplify 1 into 1 19.088 * [taylor]: Taking taylor expansion of (* x x) in x 19.088 * [taylor]: Taking taylor expansion of x in x 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * [backup-simplify]: Simplify 1 into 1 19.088 * [taylor]: Taking taylor expansion of x in x 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * [backup-simplify]: Simplify 1 into 1 19.088 * [backup-simplify]: Simplify (* 1 1) into 1 19.088 * [backup-simplify]: Simplify (* 0 0) into 0 19.088 * [backup-simplify]: Simplify (+ 1 0) into 1 19.089 * [backup-simplify]: Simplify (sqrt 1) into 1 19.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.090 * [backup-simplify]: Simplify (+ 0 0) into 0 19.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.090 * [backup-simplify]: Simplify (/ 1 1) into 1 19.090 * [taylor]: Taking taylor expansion of 1/2 in x 19.090 * [backup-simplify]: Simplify 1/2 into 1/2 19.091 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.091 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.091 * [backup-simplify]: Simplify (* 1 1) into 1 19.091 * [backup-simplify]: Simplify (* 1 1) into 1 19.092 * [backup-simplify]: Simplify (sqrt 1) into 1 19.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.093 * [backup-simplify]: Simplify (+ 0 0) into 0 19.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.094 * [backup-simplify]: Simplify (- 1) into -1 19.095 * [backup-simplify]: Simplify (+ 1 -1) into 0 19.095 * [backup-simplify]: Simplify 0 into 0 19.095 * [backup-simplify]: Simplify (- 0) into 0 19.095 * [backup-simplify]: Simplify (+ 0 0) into 0 19.095 * [backup-simplify]: Simplify 0 into 0 19.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 19.097 * [backup-simplify]: Simplify (+ 0 1) into 1 19.097 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 19.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 19.099 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 19.099 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 19.099 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 19.100 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 19.101 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 19.101 * [backup-simplify]: Simplify (- -3/8) into 3/8 19.101 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 19.101 * [backup-simplify]: Simplify 3/8 into 3/8 19.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 19.103 * [backup-simplify]: Simplify (+ 0 0) into 0 19.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 19.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 19.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 19.105 * [backup-simplify]: Simplify (+ 0 0) into 0 19.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 19.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 19.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 19.108 * [backup-simplify]: Simplify (- 0) into 0 19.108 * [backup-simplify]: Simplify (+ 0 0) into 0 19.108 * [backup-simplify]: Simplify 0 into 0 19.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.110 * [backup-simplify]: Simplify (+ 0 0) into 0 19.111 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 19.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 19.113 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 19.113 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 19.114 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 19.115 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 19.116 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 19.116 * [backup-simplify]: Simplify (- 39/128) into -39/128 19.116 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 19.116 * [backup-simplify]: Simplify -39/128 into -39/128 19.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 19.119 * [backup-simplify]: Simplify (+ 0 0) into 0 19.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 19.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 19.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 19.126 * [backup-simplify]: Simplify (+ 0 0) into 0 19.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 19.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 19.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 19.133 * [backup-simplify]: Simplify (- 0) into 0 19.133 * [backup-simplify]: Simplify (+ 0 0) into 0 19.133 * [backup-simplify]: Simplify 0 into 0 19.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 19.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 19.135 * [backup-simplify]: Simplify (+ 0 0) into 0 19.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 19.138 * [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 19.139 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 19.140 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 19.141 * [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 19.143 * [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 19.144 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 19.144 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 19.144 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 19.144 * [backup-simplify]: Simplify 275/1024 into 275/1024 19.145 * [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))) 19.145 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 19.145 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 19.145 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.145 * [taylor]: Taking taylor expansion of 1 in x 19.145 * [backup-simplify]: Simplify 1 into 1 19.145 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.145 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.145 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.145 * [taylor]: Taking taylor expansion of 1/2 in x 19.145 * [backup-simplify]: Simplify 1/2 into 1/2 19.145 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.145 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.145 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.145 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.145 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.145 * [taylor]: Taking taylor expansion of 1 in x 19.145 * [backup-simplify]: Simplify 1 into 1 19.145 * [taylor]: Taking taylor expansion of 1 in x 19.145 * [backup-simplify]: Simplify 1 into 1 19.145 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.145 * [taylor]: Taking taylor expansion of x in x 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [backup-simplify]: Simplify 1 into 1 19.145 * [backup-simplify]: Simplify (/ 1 1) into 1 19.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.145 * [taylor]: Taking taylor expansion of x in x 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [backup-simplify]: Simplify 1 into 1 19.146 * [backup-simplify]: Simplify (/ 1 1) into 1 19.146 * [backup-simplify]: Simplify (* 1 1) into 1 19.146 * [backup-simplify]: Simplify (+ 0 1) into 1 19.147 * [backup-simplify]: Simplify (sqrt 1) into 1 19.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.153 * [backup-simplify]: Simplify (+ 0 0) into 0 19.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.154 * [backup-simplify]: Simplify (/ 1 1) into 1 19.154 * [taylor]: Taking taylor expansion of 1/2 in x 19.154 * [backup-simplify]: Simplify 1/2 into 1/2 19.154 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.154 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.154 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.155 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.155 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.155 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.155 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.156 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.157 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.157 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.157 * [taylor]: Taking taylor expansion of 1 in x 19.157 * [backup-simplify]: Simplify 1 into 1 19.157 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.157 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.157 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.157 * [taylor]: Taking taylor expansion of 1/2 in x 19.157 * [backup-simplify]: Simplify 1/2 into 1/2 19.157 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.157 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.157 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.157 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.157 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.157 * [taylor]: Taking taylor expansion of 1 in x 19.157 * [backup-simplify]: Simplify 1 into 1 19.157 * [taylor]: Taking taylor expansion of 1 in x 19.157 * [backup-simplify]: Simplify 1 into 1 19.157 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.157 * [taylor]: Taking taylor expansion of x in x 19.157 * [backup-simplify]: Simplify 0 into 0 19.157 * [backup-simplify]: Simplify 1 into 1 19.158 * [backup-simplify]: Simplify (/ 1 1) into 1 19.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.158 * [taylor]: Taking taylor expansion of x in x 19.158 * [backup-simplify]: Simplify 0 into 0 19.158 * [backup-simplify]: Simplify 1 into 1 19.158 * [backup-simplify]: Simplify (/ 1 1) into 1 19.158 * [backup-simplify]: Simplify (* 1 1) into 1 19.158 * [backup-simplify]: Simplify (+ 0 1) into 1 19.159 * [backup-simplify]: Simplify (sqrt 1) into 1 19.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.160 * [backup-simplify]: Simplify (+ 0 0) into 0 19.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.161 * [backup-simplify]: Simplify (/ 1 1) into 1 19.161 * [taylor]: Taking taylor expansion of 1/2 in x 19.161 * [backup-simplify]: Simplify 1/2 into 1/2 19.161 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.162 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.162 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.162 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.163 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.163 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.164 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.164 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.166 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.167 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.168 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.169 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 19.171 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.174 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.177 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.179 * [backup-simplify]: Simplify (+ 0 0) into 0 19.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 19.181 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 19.186 * [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))) 19.195 * [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)))) 19.204 * [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)))) 19.210 * [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)))) 19.219 * [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)))) 19.219 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 19.220 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 19.220 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.220 * [taylor]: Taking taylor expansion of 1 in x 19.220 * [backup-simplify]: Simplify 1 into 1 19.220 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.220 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.220 * [taylor]: Taking taylor expansion of 1/2 in x 19.220 * [backup-simplify]: Simplify 1/2 into 1/2 19.220 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.220 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.220 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.220 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.220 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.220 * [taylor]: Taking taylor expansion of 1 in x 19.220 * [backup-simplify]: Simplify 1 into 1 19.220 * [taylor]: Taking taylor expansion of 1 in x 19.220 * [backup-simplify]: Simplify 1 into 1 19.220 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.220 * [taylor]: Taking taylor expansion of -1 in x 19.220 * [backup-simplify]: Simplify -1 into -1 19.220 * [taylor]: Taking taylor expansion of x in x 19.220 * [backup-simplify]: Simplify 0 into 0 19.220 * [backup-simplify]: Simplify 1 into 1 19.221 * [backup-simplify]: Simplify (/ -1 1) into -1 19.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.221 * [taylor]: Taking taylor expansion of -1 in x 19.221 * [backup-simplify]: Simplify -1 into -1 19.221 * [taylor]: Taking taylor expansion of x in x 19.221 * [backup-simplify]: Simplify 0 into 0 19.221 * [backup-simplify]: Simplify 1 into 1 19.221 * [backup-simplify]: Simplify (/ -1 1) into -1 19.222 * [backup-simplify]: Simplify (* -1 -1) into 1 19.222 * [backup-simplify]: Simplify (+ 0 1) into 1 19.223 * [backup-simplify]: Simplify (sqrt 1) into 1 19.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.225 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.225 * [backup-simplify]: Simplify (+ 0 0) into 0 19.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.226 * [backup-simplify]: Simplify (/ 1 1) into 1 19.226 * [taylor]: Taking taylor expansion of 1/2 in x 19.227 * [backup-simplify]: Simplify 1/2 into 1/2 19.227 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.227 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.228 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.228 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.229 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.229 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.230 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.230 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.232 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.232 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.232 * [taylor]: Taking taylor expansion of 1 in x 19.232 * [backup-simplify]: Simplify 1 into 1 19.232 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.232 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.232 * [taylor]: Taking taylor expansion of 1/2 in x 19.232 * [backup-simplify]: Simplify 1/2 into 1/2 19.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.232 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.232 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.232 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.232 * [taylor]: Taking taylor expansion of 1 in x 19.232 * [backup-simplify]: Simplify 1 into 1 19.232 * [taylor]: Taking taylor expansion of 1 in x 19.232 * [backup-simplify]: Simplify 1 into 1 19.232 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.232 * [taylor]: Taking taylor expansion of -1 in x 19.232 * [backup-simplify]: Simplify -1 into -1 19.232 * [taylor]: Taking taylor expansion of x in x 19.232 * [backup-simplify]: Simplify 0 into 0 19.233 * [backup-simplify]: Simplify 1 into 1 19.233 * [backup-simplify]: Simplify (/ -1 1) into -1 19.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.233 * [taylor]: Taking taylor expansion of -1 in x 19.233 * [backup-simplify]: Simplify -1 into -1 19.233 * [taylor]: Taking taylor expansion of x in x 19.233 * [backup-simplify]: Simplify 0 into 0 19.233 * [backup-simplify]: Simplify 1 into 1 19.234 * [backup-simplify]: Simplify (/ -1 1) into -1 19.234 * [backup-simplify]: Simplify (* -1 -1) into 1 19.234 * [backup-simplify]: Simplify (+ 0 1) into 1 19.235 * [backup-simplify]: Simplify (sqrt 1) into 1 19.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.237 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.237 * [backup-simplify]: Simplify (+ 0 0) into 0 19.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.239 * [backup-simplify]: Simplify (/ 1 1) into 1 19.239 * [taylor]: Taking taylor expansion of 1/2 in x 19.239 * [backup-simplify]: Simplify 1/2 into 1/2 19.239 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.239 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.240 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.240 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.241 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.241 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.242 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.242 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.244 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.245 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.246 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.247 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 19.249 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.253 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.255 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.257 * [backup-simplify]: Simplify (+ 0 0) into 0 19.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 19.259 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 19.264 * [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))) 19.270 * [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)))) 19.274 * [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)))) 19.282 * [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)))) 19.288 * [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))) 19.288 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 19.288 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 19.288 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 19.288 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.288 * [taylor]: Taking taylor expansion of 1 in x 19.288 * [backup-simplify]: Simplify 1 into 1 19.288 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.288 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.288 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.288 * [taylor]: Taking taylor expansion of 1/2 in x 19.288 * [backup-simplify]: Simplify 1/2 into 1/2 19.288 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.288 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.288 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.288 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.288 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.288 * [taylor]: Taking taylor expansion of 1 in x 19.288 * [backup-simplify]: Simplify 1 into 1 19.288 * [taylor]: Taking taylor expansion of 1 in x 19.288 * [backup-simplify]: Simplify 1 into 1 19.288 * [taylor]: Taking taylor expansion of (* x x) in x 19.288 * [taylor]: Taking taylor expansion of x in x 19.288 * [backup-simplify]: Simplify 0 into 0 19.288 * [backup-simplify]: Simplify 1 into 1 19.288 * [taylor]: Taking taylor expansion of x in x 19.288 * [backup-simplify]: Simplify 0 into 0 19.289 * [backup-simplify]: Simplify 1 into 1 19.289 * [backup-simplify]: Simplify (* 1 1) into 1 19.289 * [backup-simplify]: Simplify (* 0 0) into 0 19.289 * [backup-simplify]: Simplify (+ 1 0) into 1 19.290 * [backup-simplify]: Simplify (sqrt 1) into 1 19.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.290 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.291 * [backup-simplify]: Simplify (+ 0 0) into 0 19.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.291 * [backup-simplify]: Simplify (/ 1 1) into 1 19.291 * [taylor]: Taking taylor expansion of 1/2 in x 19.291 * [backup-simplify]: Simplify 1/2 into 1/2 19.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.292 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.292 * [backup-simplify]: Simplify (* 1 1) into 1 19.292 * [backup-simplify]: Simplify (* 1 1) into 1 19.293 * [backup-simplify]: Simplify (sqrt 1) into 1 19.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.294 * [backup-simplify]: Simplify (+ 0 0) into 0 19.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.295 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.295 * [taylor]: Taking taylor expansion of 1 in x 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.295 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.295 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.295 * [taylor]: Taking taylor expansion of 1/2 in x 19.295 * [backup-simplify]: Simplify 1/2 into 1/2 19.295 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.295 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.295 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.295 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.295 * [taylor]: Taking taylor expansion of 1 in x 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of 1 in x 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of (* x x) in x 19.295 * [taylor]: Taking taylor expansion of x in x 19.295 * [backup-simplify]: Simplify 0 into 0 19.295 * [backup-simplify]: Simplify 1 into 1 19.295 * [taylor]: Taking taylor expansion of x in x 19.295 * [backup-simplify]: Simplify 0 into 0 19.295 * [backup-simplify]: Simplify 1 into 1 19.296 * [backup-simplify]: Simplify (* 1 1) into 1 19.296 * [backup-simplify]: Simplify (* 0 0) into 0 19.296 * [backup-simplify]: Simplify (+ 1 0) into 1 19.296 * [backup-simplify]: Simplify (sqrt 1) into 1 19.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.297 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.297 * [backup-simplify]: Simplify (+ 0 0) into 0 19.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.299 * [backup-simplify]: Simplify (/ 1 1) into 1 19.299 * [taylor]: Taking taylor expansion of 1/2 in x 19.299 * [backup-simplify]: Simplify 1/2 into 1/2 19.299 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.300 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.300 * [backup-simplify]: Simplify (* 1 1) into 1 19.300 * [backup-simplify]: Simplify (* 1 1) into 1 19.301 * [backup-simplify]: Simplify (sqrt 1) into 1 19.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.303 * [backup-simplify]: Simplify (+ 0 0) into 0 19.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.305 * [backup-simplify]: Simplify (- 1) into -1 19.306 * [backup-simplify]: Simplify (+ 1 -1) into 0 19.306 * [backup-simplify]: Simplify 0 into 0 19.306 * [backup-simplify]: Simplify (- 0) into 0 19.306 * [backup-simplify]: Simplify (+ 0 0) into 0 19.306 * [backup-simplify]: Simplify 0 into 0 19.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 19.309 * [backup-simplify]: Simplify (+ 0 1) into 1 19.310 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 19.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 19.312 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 19.313 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 19.314 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 19.315 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 19.316 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 19.316 * [backup-simplify]: Simplify (- -3/8) into 3/8 19.317 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 19.317 * [backup-simplify]: Simplify 3/8 into 3/8 19.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 19.319 * [backup-simplify]: Simplify (+ 0 0) into 0 19.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 19.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 19.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 19.324 * [backup-simplify]: Simplify (+ 0 0) into 0 19.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 19.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 19.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 19.329 * [backup-simplify]: Simplify (- 0) into 0 19.329 * [backup-simplify]: Simplify (+ 0 0) into 0 19.329 * [backup-simplify]: Simplify 0 into 0 19.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.332 * [backup-simplify]: Simplify (+ 0 0) into 0 19.333 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 19.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 19.336 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 19.337 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 19.338 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 19.339 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 19.340 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 19.340 * [backup-simplify]: Simplify (- 39/128) into -39/128 19.340 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 19.340 * [backup-simplify]: Simplify -39/128 into -39/128 19.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 19.342 * [backup-simplify]: Simplify (+ 0 0) into 0 19.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 19.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 19.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 19.346 * [backup-simplify]: Simplify (+ 0 0) into 0 19.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 19.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 19.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 19.350 * [backup-simplify]: Simplify (- 0) into 0 19.350 * [backup-simplify]: Simplify (+ 0 0) into 0 19.350 * [backup-simplify]: Simplify 0 into 0 19.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 19.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 19.352 * [backup-simplify]: Simplify (+ 0 0) into 0 19.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 19.354 * [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 19.356 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 19.356 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 19.358 * [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 19.359 * [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 19.360 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 19.361 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 19.361 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 19.361 * [backup-simplify]: Simplify 275/1024 into 275/1024 19.361 * [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))) 19.361 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 19.361 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 19.361 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.362 * [taylor]: Taking taylor expansion of 1 in x 19.362 * [backup-simplify]: Simplify 1 into 1 19.362 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.362 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.362 * [taylor]: Taking taylor expansion of 1/2 in x 19.362 * [backup-simplify]: Simplify 1/2 into 1/2 19.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.362 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.362 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.362 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.362 * [taylor]: Taking taylor expansion of 1 in x 19.362 * [backup-simplify]: Simplify 1 into 1 19.362 * [taylor]: Taking taylor expansion of 1 in x 19.362 * [backup-simplify]: Simplify 1 into 1 19.362 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.362 * [taylor]: Taking taylor expansion of x in x 19.362 * [backup-simplify]: Simplify 0 into 0 19.362 * [backup-simplify]: Simplify 1 into 1 19.362 * [backup-simplify]: Simplify (/ 1 1) into 1 19.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.362 * [taylor]: Taking taylor expansion of x in x 19.363 * [backup-simplify]: Simplify 0 into 0 19.363 * [backup-simplify]: Simplify 1 into 1 19.363 * [backup-simplify]: Simplify (/ 1 1) into 1 19.363 * [backup-simplify]: Simplify (* 1 1) into 1 19.364 * [backup-simplify]: Simplify (+ 0 1) into 1 19.364 * [backup-simplify]: Simplify (sqrt 1) into 1 19.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.366 * [backup-simplify]: Simplify (+ 0 0) into 0 19.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.368 * [backup-simplify]: Simplify (/ 1 1) into 1 19.368 * [taylor]: Taking taylor expansion of 1/2 in x 19.368 * [backup-simplify]: Simplify 1/2 into 1/2 19.368 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.369 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.369 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.369 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.370 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.370 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.371 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.372 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.373 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.373 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.373 * [taylor]: Taking taylor expansion of 1 in x 19.373 * [backup-simplify]: Simplify 1 into 1 19.373 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.373 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.373 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.373 * [taylor]: Taking taylor expansion of 1/2 in x 19.373 * [backup-simplify]: Simplify 1/2 into 1/2 19.373 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.374 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.374 * [taylor]: Taking taylor expansion of 1 in x 19.374 * [backup-simplify]: Simplify 1 into 1 19.374 * [taylor]: Taking taylor expansion of 1 in x 19.374 * [backup-simplify]: Simplify 1 into 1 19.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.374 * [taylor]: Taking taylor expansion of x in x 19.374 * [backup-simplify]: Simplify 0 into 0 19.374 * [backup-simplify]: Simplify 1 into 1 19.374 * [backup-simplify]: Simplify (/ 1 1) into 1 19.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.374 * [taylor]: Taking taylor expansion of x in x 19.374 * [backup-simplify]: Simplify 0 into 0 19.374 * [backup-simplify]: Simplify 1 into 1 19.375 * [backup-simplify]: Simplify (/ 1 1) into 1 19.375 * [backup-simplify]: Simplify (* 1 1) into 1 19.376 * [backup-simplify]: Simplify (+ 0 1) into 1 19.376 * [backup-simplify]: Simplify (sqrt 1) into 1 19.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.379 * [backup-simplify]: Simplify (+ 0 0) into 0 19.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.380 * [backup-simplify]: Simplify (/ 1 1) into 1 19.380 * [taylor]: Taking taylor expansion of 1/2 in x 19.380 * [backup-simplify]: Simplify 1/2 into 1/2 19.380 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.381 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.381 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.381 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.382 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.382 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.383 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.383 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.385 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.386 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.387 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.388 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 19.390 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.400 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.403 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.405 * [backup-simplify]: Simplify (+ 0 0) into 0 19.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 19.407 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 19.412 * [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))) 19.422 * [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)))) 19.428 * [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)))) 19.431 * [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)))) 19.437 * [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)))) 19.437 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 19.437 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 19.437 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.437 * [taylor]: Taking taylor expansion of 1 in x 19.437 * [backup-simplify]: Simplify 1 into 1 19.437 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.437 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.437 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.437 * [taylor]: Taking taylor expansion of 1/2 in x 19.437 * [backup-simplify]: Simplify 1/2 into 1/2 19.437 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.438 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.438 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.438 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.438 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.438 * [taylor]: Taking taylor expansion of 1 in x 19.438 * [backup-simplify]: Simplify 1 into 1 19.438 * [taylor]: Taking taylor expansion of 1 in x 19.438 * [backup-simplify]: Simplify 1 into 1 19.438 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.438 * [taylor]: Taking taylor expansion of -1 in x 19.438 * [backup-simplify]: Simplify -1 into -1 19.438 * [taylor]: Taking taylor expansion of x in x 19.438 * [backup-simplify]: Simplify 0 into 0 19.438 * [backup-simplify]: Simplify 1 into 1 19.438 * [backup-simplify]: Simplify (/ -1 1) into -1 19.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.438 * [taylor]: Taking taylor expansion of -1 in x 19.438 * [backup-simplify]: Simplify -1 into -1 19.438 * [taylor]: Taking taylor expansion of x in x 19.438 * [backup-simplify]: Simplify 0 into 0 19.438 * [backup-simplify]: Simplify 1 into 1 19.438 * [backup-simplify]: Simplify (/ -1 1) into -1 19.439 * [backup-simplify]: Simplify (* -1 -1) into 1 19.439 * [backup-simplify]: Simplify (+ 0 1) into 1 19.439 * [backup-simplify]: Simplify (sqrt 1) into 1 19.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.441 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.441 * [backup-simplify]: Simplify (+ 0 0) into 0 19.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.442 * [backup-simplify]: Simplify (/ 1 1) into 1 19.442 * [taylor]: Taking taylor expansion of 1/2 in x 19.442 * [backup-simplify]: Simplify 1/2 into 1/2 19.442 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.442 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.442 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.443 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.443 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.443 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.444 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.444 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.445 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.445 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.445 * [taylor]: Taking taylor expansion of 1 in x 19.446 * [backup-simplify]: Simplify 1 into 1 19.446 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.446 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.446 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.446 * [taylor]: Taking taylor expansion of 1/2 in x 19.446 * [backup-simplify]: Simplify 1/2 into 1/2 19.446 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.446 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.446 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.446 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.446 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.446 * [taylor]: Taking taylor expansion of 1 in x 19.446 * [backup-simplify]: Simplify 1 into 1 19.446 * [taylor]: Taking taylor expansion of 1 in x 19.446 * [backup-simplify]: Simplify 1 into 1 19.446 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.446 * [taylor]: Taking taylor expansion of -1 in x 19.446 * [backup-simplify]: Simplify -1 into -1 19.446 * [taylor]: Taking taylor expansion of x in x 19.446 * [backup-simplify]: Simplify 0 into 0 19.446 * [backup-simplify]: Simplify 1 into 1 19.446 * [backup-simplify]: Simplify (/ -1 1) into -1 19.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.446 * [taylor]: Taking taylor expansion of -1 in x 19.446 * [backup-simplify]: Simplify -1 into -1 19.446 * [taylor]: Taking taylor expansion of x in x 19.446 * [backup-simplify]: Simplify 0 into 0 19.446 * [backup-simplify]: Simplify 1 into 1 19.447 * [backup-simplify]: Simplify (/ -1 1) into -1 19.447 * [backup-simplify]: Simplify (* -1 -1) into 1 19.447 * [backup-simplify]: Simplify (+ 0 1) into 1 19.448 * [backup-simplify]: Simplify (sqrt 1) into 1 19.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.449 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.449 * [backup-simplify]: Simplify (+ 0 0) into 0 19.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.450 * [backup-simplify]: Simplify (/ 1 1) into 1 19.450 * [taylor]: Taking taylor expansion of 1/2 in x 19.450 * [backup-simplify]: Simplify 1/2 into 1/2 19.450 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.450 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.451 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.451 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.451 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.452 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.452 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.452 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.453 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.454 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.455 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.455 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 19.456 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.458 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.460 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.461 * [backup-simplify]: Simplify (+ 0 0) into 0 19.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 19.462 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 19.465 * [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))) 19.470 * [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)))) 19.476 * [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)))) 19.482 * [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)))) 19.491 * [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))) 19.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 19.491 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) 19.491 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in (x) around 0 19.491 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.491 * [taylor]: Taking taylor expansion of 1 in x 19.491 * [backup-simplify]: Simplify 1 into 1 19.491 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.491 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.491 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.491 * [taylor]: Taking taylor expansion of 1/2 in x 19.491 * [backup-simplify]: Simplify 1/2 into 1/2 19.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.491 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.491 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.491 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.491 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.491 * [taylor]: Taking taylor expansion of 1 in x 19.491 * [backup-simplify]: Simplify 1 into 1 19.491 * [taylor]: Taking taylor expansion of 1 in x 19.491 * [backup-simplify]: Simplify 1 into 1 19.491 * [taylor]: Taking taylor expansion of (* x x) in x 19.491 * [taylor]: Taking taylor expansion of x in x 19.491 * [backup-simplify]: Simplify 0 into 0 19.491 * [backup-simplify]: Simplify 1 into 1 19.491 * [taylor]: Taking taylor expansion of x in x 19.491 * [backup-simplify]: Simplify 0 into 0 19.491 * [backup-simplify]: Simplify 1 into 1 19.492 * [backup-simplify]: Simplify (* 1 1) into 1 19.492 * [backup-simplify]: Simplify (* 0 0) into 0 19.492 * [backup-simplify]: Simplify (+ 1 0) into 1 19.492 * [backup-simplify]: Simplify (sqrt 1) into 1 19.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.493 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.493 * [backup-simplify]: Simplify (+ 0 0) into 0 19.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.494 * [backup-simplify]: Simplify (/ 1 1) into 1 19.494 * [taylor]: Taking taylor expansion of 1/2 in x 19.494 * [backup-simplify]: Simplify 1/2 into 1/2 19.494 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.495 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.495 * [backup-simplify]: Simplify (* 1 1) into 1 19.495 * [backup-simplify]: Simplify (* 1 1) into 1 19.495 * [backup-simplify]: Simplify (sqrt 1) into 1 19.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.496 * [backup-simplify]: Simplify (+ 0 0) into 0 19.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.498 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.498 * [taylor]: Taking taylor expansion of 1 in x 19.498 * [backup-simplify]: Simplify 1 into 1 19.498 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.498 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.498 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.498 * [taylor]: Taking taylor expansion of 1/2 in x 19.498 * [backup-simplify]: Simplify 1/2 into 1/2 19.498 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.498 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.498 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.498 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.498 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.498 * [taylor]: Taking taylor expansion of 1 in x 19.498 * [backup-simplify]: Simplify 1 into 1 19.498 * [taylor]: Taking taylor expansion of 1 in x 19.498 * [backup-simplify]: Simplify 1 into 1 19.498 * [taylor]: Taking taylor expansion of (* x x) in x 19.498 * [taylor]: Taking taylor expansion of x in x 19.498 * [backup-simplify]: Simplify 0 into 0 19.498 * [backup-simplify]: Simplify 1 into 1 19.498 * [taylor]: Taking taylor expansion of x in x 19.498 * [backup-simplify]: Simplify 0 into 0 19.498 * [backup-simplify]: Simplify 1 into 1 19.498 * [backup-simplify]: Simplify (* 1 1) into 1 19.499 * [backup-simplify]: Simplify (* 0 0) into 0 19.499 * [backup-simplify]: Simplify (+ 1 0) into 1 19.499 * [backup-simplify]: Simplify (sqrt 1) into 1 19.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.500 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.505 * [backup-simplify]: Simplify (+ 0 0) into 0 19.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.506 * [backup-simplify]: Simplify (/ 1 1) into 1 19.506 * [taylor]: Taking taylor expansion of 1/2 in x 19.506 * [backup-simplify]: Simplify 1/2 into 1/2 19.506 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.506 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.507 * [backup-simplify]: Simplify (* 1 1) into 1 19.507 * [backup-simplify]: Simplify (* 1 1) into 1 19.507 * [backup-simplify]: Simplify (sqrt 1) into 1 19.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.508 * [backup-simplify]: Simplify (+ 0 0) into 0 19.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.510 * [backup-simplify]: Simplify (- 1) into -1 19.510 * [backup-simplify]: Simplify (+ 1 -1) into 0 19.510 * [backup-simplify]: Simplify 0 into 0 19.510 * [backup-simplify]: Simplify (- 0) into 0 19.510 * [backup-simplify]: Simplify (+ 0 0) into 0 19.510 * [backup-simplify]: Simplify 0 into 0 19.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 19.512 * [backup-simplify]: Simplify (+ 0 1) into 1 19.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 19.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 19.514 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 19.514 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 19.514 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 19.515 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 19.516 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 19.516 * [backup-simplify]: Simplify (- -3/8) into 3/8 19.516 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 19.516 * [backup-simplify]: Simplify 3/8 into 3/8 19.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 19.518 * [backup-simplify]: Simplify (+ 0 0) into 0 19.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 19.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 19.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 19.521 * [backup-simplify]: Simplify (+ 0 0) into 0 19.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 19.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 19.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 19.523 * [backup-simplify]: Simplify (- 0) into 0 19.523 * [backup-simplify]: Simplify (+ 0 0) into 0 19.523 * [backup-simplify]: Simplify 0 into 0 19.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.525 * [backup-simplify]: Simplify (+ 0 0) into 0 19.526 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 19.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 19.528 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 19.528 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 19.529 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 19.531 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 19.533 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 19.533 * [backup-simplify]: Simplify (- 39/128) into -39/128 19.533 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 19.533 * [backup-simplify]: Simplify -39/128 into -39/128 19.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 19.537 * [backup-simplify]: Simplify (+ 0 0) into 0 19.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 19.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 19.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 19.544 * [backup-simplify]: Simplify (+ 0 0) into 0 19.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 19.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 19.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 19.549 * [backup-simplify]: Simplify (- 0) into 0 19.549 * [backup-simplify]: Simplify (+ 0 0) into 0 19.549 * [backup-simplify]: Simplify 0 into 0 19.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 19.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 19.551 * [backup-simplify]: Simplify (+ 0 0) into 0 19.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 19.553 * [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 19.555 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 19.555 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 19.557 * [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 19.558 * [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 19.559 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 19.560 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 19.560 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 19.560 * [backup-simplify]: Simplify 275/1024 into 275/1024 19.560 * [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))) 19.560 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) 19.560 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in (x) around 0 19.560 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.560 * [taylor]: Taking taylor expansion of 1 in x 19.560 * [backup-simplify]: Simplify 1 into 1 19.560 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.560 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.561 * [taylor]: Taking taylor expansion of 1/2 in x 19.561 * [backup-simplify]: Simplify 1/2 into 1/2 19.561 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.561 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.561 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.561 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.561 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.561 * [taylor]: Taking taylor expansion of 1 in x 19.561 * [backup-simplify]: Simplify 1 into 1 19.561 * [taylor]: Taking taylor expansion of 1 in x 19.561 * [backup-simplify]: Simplify 1 into 1 19.561 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.561 * [taylor]: Taking taylor expansion of x in x 19.561 * [backup-simplify]: Simplify 0 into 0 19.561 * [backup-simplify]: Simplify 1 into 1 19.561 * [backup-simplify]: Simplify (/ 1 1) into 1 19.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.561 * [taylor]: Taking taylor expansion of x in x 19.561 * [backup-simplify]: Simplify 0 into 0 19.561 * [backup-simplify]: Simplify 1 into 1 19.561 * [backup-simplify]: Simplify (/ 1 1) into 1 19.562 * [backup-simplify]: Simplify (* 1 1) into 1 19.562 * [backup-simplify]: Simplify (+ 0 1) into 1 19.562 * [backup-simplify]: Simplify (sqrt 1) into 1 19.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.564 * [backup-simplify]: Simplify (+ 0 0) into 0 19.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.564 * [backup-simplify]: Simplify (/ 1 1) into 1 19.564 * [taylor]: Taking taylor expansion of 1/2 in x 19.564 * [backup-simplify]: Simplify 1/2 into 1/2 19.565 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.565 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.565 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.565 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.566 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.566 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.566 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.567 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.568 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.568 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.568 * [taylor]: Taking taylor expansion of 1 in x 19.568 * [backup-simplify]: Simplify 1 into 1 19.568 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.568 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.568 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.568 * [taylor]: Taking taylor expansion of 1/2 in x 19.568 * [backup-simplify]: Simplify 1/2 into 1/2 19.568 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.568 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.568 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.568 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.568 * [taylor]: Taking taylor expansion of 1 in x 19.568 * [backup-simplify]: Simplify 1 into 1 19.568 * [taylor]: Taking taylor expansion of 1 in x 19.568 * [backup-simplify]: Simplify 1 into 1 19.568 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.568 * [taylor]: Taking taylor expansion of x in x 19.568 * [backup-simplify]: Simplify 0 into 0 19.568 * [backup-simplify]: Simplify 1 into 1 19.568 * [backup-simplify]: Simplify (/ 1 1) into 1 19.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.568 * [taylor]: Taking taylor expansion of x in x 19.568 * [backup-simplify]: Simplify 0 into 0 19.568 * [backup-simplify]: Simplify 1 into 1 19.569 * [backup-simplify]: Simplify (/ 1 1) into 1 19.569 * [backup-simplify]: Simplify (* 1 1) into 1 19.569 * [backup-simplify]: Simplify (+ 0 1) into 1 19.569 * [backup-simplify]: Simplify (sqrt 1) into 1 19.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.571 * [backup-simplify]: Simplify (+ 0 0) into 0 19.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.572 * [backup-simplify]: Simplify (/ 1 1) into 1 19.572 * [taylor]: Taking taylor expansion of 1/2 in x 19.572 * [backup-simplify]: Simplify 1/2 into 1/2 19.572 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.572 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.573 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.573 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.573 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.573 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.574 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.574 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.575 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.576 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.576 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.577 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 19.578 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.580 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.582 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.584 * [backup-simplify]: Simplify (+ 0 0) into 0 19.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 19.586 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 19.591 * [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))) 19.599 * [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)))) 19.609 * [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)))) 19.612 * [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)))) 19.618 * [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)))) 19.618 * [backup-simplify]: Simplify (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) 19.618 * [approximate]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in (x) around 0 19.618 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.618 * [taylor]: Taking taylor expansion of 1 in x 19.618 * [backup-simplify]: Simplify 1 into 1 19.618 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.618 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.618 * [taylor]: Taking taylor expansion of 1/2 in x 19.618 * [backup-simplify]: Simplify 1/2 into 1/2 19.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.618 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.618 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.618 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.618 * [taylor]: Taking taylor expansion of 1 in x 19.618 * [backup-simplify]: Simplify 1 into 1 19.618 * [taylor]: Taking taylor expansion of 1 in x 19.618 * [backup-simplify]: Simplify 1 into 1 19.618 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.618 * [taylor]: Taking taylor expansion of -1 in x 19.618 * [backup-simplify]: Simplify -1 into -1 19.618 * [taylor]: Taking taylor expansion of x in x 19.618 * [backup-simplify]: Simplify 0 into 0 19.618 * [backup-simplify]: Simplify 1 into 1 19.619 * [backup-simplify]: Simplify (/ -1 1) into -1 19.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.619 * [taylor]: Taking taylor expansion of -1 in x 19.619 * [backup-simplify]: Simplify -1 into -1 19.619 * [taylor]: Taking taylor expansion of x in x 19.619 * [backup-simplify]: Simplify 0 into 0 19.619 * [backup-simplify]: Simplify 1 into 1 19.619 * [backup-simplify]: Simplify (/ -1 1) into -1 19.619 * [backup-simplify]: Simplify (* -1 -1) into 1 19.620 * [backup-simplify]: Simplify (+ 0 1) into 1 19.620 * [backup-simplify]: Simplify (sqrt 1) into 1 19.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.621 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.622 * [backup-simplify]: Simplify (+ 0 0) into 0 19.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.622 * [backup-simplify]: Simplify (/ 1 1) into 1 19.622 * [taylor]: Taking taylor expansion of 1/2 in x 19.622 * [backup-simplify]: Simplify 1/2 into 1/2 19.623 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.623 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.623 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.623 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.624 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.624 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.624 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.625 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.626 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.626 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 19.626 * [taylor]: Taking taylor expansion of 1 in x 19.626 * [backup-simplify]: Simplify 1 into 1 19.626 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 19.626 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 19.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 19.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 19.626 * [taylor]: Taking taylor expansion of 1/2 in x 19.626 * [backup-simplify]: Simplify 1/2 into 1/2 19.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 19.626 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 19.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 19.626 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 19.626 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.626 * [taylor]: Taking taylor expansion of 1 in x 19.626 * [backup-simplify]: Simplify 1 into 1 19.626 * [taylor]: Taking taylor expansion of 1 in x 19.626 * [backup-simplify]: Simplify 1 into 1 19.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 19.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.626 * [taylor]: Taking taylor expansion of -1 in x 19.626 * [backup-simplify]: Simplify -1 into -1 19.626 * [taylor]: Taking taylor expansion of x in x 19.626 * [backup-simplify]: Simplify 0 into 0 19.626 * [backup-simplify]: Simplify 1 into 1 19.627 * [backup-simplify]: Simplify (/ -1 1) into -1 19.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 19.627 * [taylor]: Taking taylor expansion of -1 in x 19.627 * [backup-simplify]: Simplify -1 into -1 19.627 * [taylor]: Taking taylor expansion of x in x 19.627 * [backup-simplify]: Simplify 0 into 0 19.627 * [backup-simplify]: Simplify 1 into 1 19.627 * [backup-simplify]: Simplify (/ -1 1) into -1 19.627 * [backup-simplify]: Simplify (* -1 -1) into 1 19.627 * [backup-simplify]: Simplify (+ 0 1) into 1 19.628 * [backup-simplify]: Simplify (sqrt 1) into 1 19.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.629 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 19.630 * [backup-simplify]: Simplify (+ 0 0) into 0 19.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.631 * [backup-simplify]: Simplify (/ 1 1) into 1 19.631 * [taylor]: Taking taylor expansion of 1/2 in x 19.631 * [backup-simplify]: Simplify 1/2 into 1/2 19.631 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.632 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.632 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.632 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.633 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.633 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.634 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.634 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.636 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.637 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.638 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.639 * [backup-simplify]: Simplify (- 1 (sqrt 1/8)) into (- 1 (sqrt 1/8)) 19.641 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.645 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.647 * [backup-simplify]: Simplify (- (* 3/16 (/ 1 (sqrt 1/8)))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.650 * [backup-simplify]: Simplify (+ 0 0) into 0 19.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 19.652 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 19.657 * [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))) 19.664 * [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)))) 19.668 * [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)))) 19.672 * [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)))) 19.677 * [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))) 19.678 * * * * [progress]: [ 4 / 4 ] generating series at (2) 19.678 * [backup-simplify]: Simplify (cbrt (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) 19.678 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in (x) around 0 19.678 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 19.678 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.679 * [taylor]: Taking taylor expansion of 1 in x 19.679 * [backup-simplify]: Simplify 1 into 1 19.679 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.679 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.679 * [taylor]: Taking taylor expansion of 1/2 in x 19.679 * [backup-simplify]: Simplify 1/2 into 1/2 19.679 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.679 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.679 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.679 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.679 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.679 * [taylor]: Taking taylor expansion of 1 in x 19.679 * [backup-simplify]: Simplify 1 into 1 19.679 * [taylor]: Taking taylor expansion of 1 in x 19.679 * [backup-simplify]: Simplify 1 into 1 19.679 * [taylor]: Taking taylor expansion of (* x x) in x 19.679 * [taylor]: Taking taylor expansion of x in x 19.679 * [backup-simplify]: Simplify 0 into 0 19.679 * [backup-simplify]: Simplify 1 into 1 19.679 * [taylor]: Taking taylor expansion of x in x 19.679 * [backup-simplify]: Simplify 0 into 0 19.679 * [backup-simplify]: Simplify 1 into 1 19.679 * [backup-simplify]: Simplify (* 1 1) into 1 19.679 * [backup-simplify]: Simplify (* 0 0) into 0 19.680 * [backup-simplify]: Simplify (+ 1 0) into 1 19.680 * [backup-simplify]: Simplify (sqrt 1) into 1 19.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.681 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.681 * [backup-simplify]: Simplify (+ 0 0) into 0 19.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.682 * [backup-simplify]: Simplify (/ 1 1) into 1 19.682 * [taylor]: Taking taylor expansion of 1/2 in x 19.682 * [backup-simplify]: Simplify 1/2 into 1/2 19.682 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.682 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.682 * [backup-simplify]: Simplify (* 1 1) into 1 19.683 * [backup-simplify]: Simplify (* 1 1) into 1 19.683 * [backup-simplify]: Simplify (sqrt 1) into 1 19.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.684 * [backup-simplify]: Simplify (+ 0 0) into 0 19.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.685 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 19.685 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.685 * [taylor]: Taking taylor expansion of 1/2 in x 19.685 * [backup-simplify]: Simplify 1/2 into 1/2 19.685 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.685 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.685 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.686 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.686 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.686 * [taylor]: Taking taylor expansion of 1 in x 19.686 * [backup-simplify]: Simplify 1 into 1 19.686 * [taylor]: Taking taylor expansion of 1 in x 19.686 * [backup-simplify]: Simplify 1 into 1 19.686 * [taylor]: Taking taylor expansion of (* x x) in x 19.686 * [taylor]: Taking taylor expansion of x in x 19.686 * [backup-simplify]: Simplify 0 into 0 19.686 * [backup-simplify]: Simplify 1 into 1 19.686 * [taylor]: Taking taylor expansion of x in x 19.686 * [backup-simplify]: Simplify 0 into 0 19.686 * [backup-simplify]: Simplify 1 into 1 19.686 * [backup-simplify]: Simplify (* 1 1) into 1 19.686 * [backup-simplify]: Simplify (* 0 0) into 0 19.686 * [backup-simplify]: Simplify (+ 1 0) into 1 19.687 * [backup-simplify]: Simplify (sqrt 1) into 1 19.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.688 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.688 * [backup-simplify]: Simplify (+ 0 0) into 0 19.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.689 * [backup-simplify]: Simplify (/ 1 1) into 1 19.689 * [taylor]: Taking taylor expansion of 1/2 in x 19.689 * [backup-simplify]: Simplify 1/2 into 1/2 19.689 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.689 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.689 * [backup-simplify]: Simplify (sqrt 1) into 1 19.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.691 * [backup-simplify]: Simplify (+ 0 0) into 0 19.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 19.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.691 * [taylor]: Taking taylor expansion of 1/2 in x 19.691 * [backup-simplify]: Simplify 1/2 into 1/2 19.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.691 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.691 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.691 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.691 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.691 * [taylor]: Taking taylor expansion of 1 in x 19.691 * [backup-simplify]: Simplify 1 into 1 19.691 * [taylor]: Taking taylor expansion of 1 in x 19.691 * [backup-simplify]: Simplify 1 into 1 19.691 * [taylor]: Taking taylor expansion of (* x x) in x 19.691 * [taylor]: Taking taylor expansion of x in x 19.691 * [backup-simplify]: Simplify 0 into 0 19.691 * [backup-simplify]: Simplify 1 into 1 19.691 * [taylor]: Taking taylor expansion of x in x 19.691 * [backup-simplify]: Simplify 0 into 0 19.691 * [backup-simplify]: Simplify 1 into 1 19.692 * [backup-simplify]: Simplify (* 1 1) into 1 19.692 * [backup-simplify]: Simplify (* 0 0) into 0 19.692 * [backup-simplify]: Simplify (+ 1 0) into 1 19.692 * [backup-simplify]: Simplify (sqrt 1) into 1 19.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.693 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.693 * [backup-simplify]: Simplify (+ 0 0) into 0 19.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.694 * [backup-simplify]: Simplify (/ 1 1) into 1 19.694 * [taylor]: Taking taylor expansion of 3/2 in x 19.694 * [backup-simplify]: Simplify 3/2 into 3/2 19.694 * [backup-simplify]: Simplify (- 1) into -1 19.695 * [backup-simplify]: Simplify (+ 1 -1) into 0 19.695 * [backup-simplify]: Simplify (- 0) into 0 19.695 * [backup-simplify]: Simplify (+ 0 0) into 0 19.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 19.696 * [backup-simplify]: Simplify (+ 0 1) into 1 19.697 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 19.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 19.698 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 19.698 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 19.699 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 19.700 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 19.700 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 19.701 * [backup-simplify]: Simplify (- -3/8) into 3/8 19.701 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 19.701 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.701 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 19.702 * [backup-simplify]: Simplify (+ 1 2) into 3 19.702 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 19.702 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2))) in x 19.702 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3))) in x 19.702 * [taylor]: Taking taylor expansion of 1 in x 19.702 * [backup-simplify]: Simplify 1 into 1 19.702 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3)) in x 19.702 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 3) in x 19.702 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.702 * [taylor]: Taking taylor expansion of 1/2 in x 19.702 * [backup-simplify]: Simplify 1/2 into 1/2 19.702 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.702 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.702 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.702 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.702 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.702 * [taylor]: Taking taylor expansion of 1 in x 19.702 * [backup-simplify]: Simplify 1 into 1 19.702 * [taylor]: Taking taylor expansion of 1 in x 19.702 * [backup-simplify]: Simplify 1 into 1 19.702 * [taylor]: Taking taylor expansion of (* x x) in x 19.702 * [taylor]: Taking taylor expansion of x in x 19.702 * [backup-simplify]: Simplify 0 into 0 19.702 * [backup-simplify]: Simplify 1 into 1 19.702 * [taylor]: Taking taylor expansion of x in x 19.702 * [backup-simplify]: Simplify 0 into 0 19.702 * [backup-simplify]: Simplify 1 into 1 19.703 * [backup-simplify]: Simplify (* 1 1) into 1 19.703 * [backup-simplify]: Simplify (* 0 0) into 0 19.703 * [backup-simplify]: Simplify (+ 1 0) into 1 19.703 * [backup-simplify]: Simplify (sqrt 1) into 1 19.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.710 * [backup-simplify]: Simplify (+ 0 0) into 0 19.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.711 * [backup-simplify]: Simplify (/ 1 1) into 1 19.711 * [taylor]: Taking taylor expansion of 1/2 in x 19.711 * [backup-simplify]: Simplify 1/2 into 1/2 19.711 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.712 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.712 * [backup-simplify]: Simplify (* 1 1) into 1 19.712 * [backup-simplify]: Simplify (* 1 1) into 1 19.713 * [backup-simplify]: Simplify (sqrt 1) into 1 19.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.714 * [backup-simplify]: Simplify (+ 0 0) into 0 19.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.715 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2)) in x 19.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 19.715 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 19.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.715 * [taylor]: Taking taylor expansion of 1/2 in x 19.715 * [backup-simplify]: Simplify 1/2 into 1/2 19.715 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.715 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.715 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.715 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.715 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.715 * [taylor]: Taking taylor expansion of 1 in x 19.715 * [backup-simplify]: Simplify 1 into 1 19.715 * [taylor]: Taking taylor expansion of 1 in x 19.715 * [backup-simplify]: Simplify 1 into 1 19.715 * [taylor]: Taking taylor expansion of (* x x) in x 19.715 * [taylor]: Taking taylor expansion of x in x 19.715 * [backup-simplify]: Simplify 0 into 0 19.715 * [backup-simplify]: Simplify 1 into 1 19.715 * [taylor]: Taking taylor expansion of x in x 19.715 * [backup-simplify]: Simplify 0 into 0 19.715 * [backup-simplify]: Simplify 1 into 1 19.716 * [backup-simplify]: Simplify (* 1 1) into 1 19.716 * [backup-simplify]: Simplify (* 0 0) into 0 19.716 * [backup-simplify]: Simplify (+ 1 0) into 1 19.716 * [backup-simplify]: Simplify (sqrt 1) into 1 19.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.717 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.717 * [backup-simplify]: Simplify (+ 0 0) into 0 19.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.718 * [backup-simplify]: Simplify (/ 1 1) into 1 19.718 * [taylor]: Taking taylor expansion of 1/2 in x 19.718 * [backup-simplify]: Simplify 1/2 into 1/2 19.718 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.719 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 19.719 * [backup-simplify]: Simplify (sqrt 1) into 1 19.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.720 * [backup-simplify]: Simplify (+ 0 0) into 0 19.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.720 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 3/2) in x 19.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 19.720 * [taylor]: Taking taylor expansion of 1/2 in x 19.721 * [backup-simplify]: Simplify 1/2 into 1/2 19.721 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 19.721 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 19.721 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 19.721 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 19.721 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.721 * [taylor]: Taking taylor expansion of 1 in x 19.721 * [backup-simplify]: Simplify 1 into 1 19.721 * [taylor]: Taking taylor expansion of 1 in x 19.721 * [backup-simplify]: Simplify 1 into 1 19.721 * [taylor]: Taking taylor expansion of (* x x) in x 19.721 * [taylor]: Taking taylor expansion of x in x 19.721 * [backup-simplify]: Simplify 0 into 0 19.721 * [backup-simplify]: Simplify 1 into 1 19.721 * [taylor]: Taking taylor expansion of x in x 19.721 * [backup-simplify]: Simplify 0 into 0 19.721 * [backup-simplify]: Simplify 1 into 1 19.721 * [backup-simplify]: Simplify (* 1 1) into 1 19.721 * [backup-simplify]: Simplify (* 0 0) into 0 19.722 * [backup-simplify]: Simplify (+ 1 0) into 1 19.722 * [backup-simplify]: Simplify (sqrt 1) into 1 19.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.723 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 19.723 * [backup-simplify]: Simplify (+ 0 0) into 0 19.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.724 * [backup-simplify]: Simplify (/ 1 1) into 1 19.724 * [taylor]: Taking taylor expansion of 3/2 in x 19.724 * [backup-simplify]: Simplify 3/2 into 3/2 19.724 * [backup-simplify]: Simplify (- 1) into -1 19.724 * [backup-simplify]: Simplify (+ 1 -1) into 0 19.724 * [backup-simplify]: Simplify (- 0) into 0 19.725 * [backup-simplify]: Simplify (+ 0 0) into 0 19.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 19.726 * [backup-simplify]: Simplify (+ 0 1) into 1 19.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 19.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 19.728 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 19.728 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 19.729 * [backup-simplify]: Simplify (+ (* 1 -1/4) (+ (* 0 0) (* -1/4 1))) into -1/2 19.729 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/4 1))) into -3/4 19.730 * [backup-simplify]: Simplify (/ (- -3/4 (pow 0 2) (+)) (* 2 1)) into -3/8 19.730 * [backup-simplify]: Simplify (- -3/8) into 3/8 19.730 * [backup-simplify]: Simplify (+ 0 3/8) into 3/8 19.731 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.731 * [backup-simplify]: Simplify (+ 1/2 3/2) into 2 19.731 * [backup-simplify]: Simplify (+ 1 2) into 3 19.732 * [backup-simplify]: Simplify (/ 3/8 3) into 1/8 19.732 * [backup-simplify]: Simplify 1/8 into 1/8 19.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 19.733 * [backup-simplify]: Simplify (+ 0 0) into 0 19.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 19.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 19.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 19.736 * [backup-simplify]: Simplify (+ 0 0) into 0 19.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 19.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/2) (+ (* -1/4 0) (* 0 1)))) into 0 19.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -3/8)))) (* 2 1)) into 0 19.739 * [backup-simplify]: Simplify (- 0) into 0 19.739 * [backup-simplify]: Simplify (+ 0 0) into 0 19.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.740 * [backup-simplify]: Simplify (+ 0 0) into 0 19.740 * [backup-simplify]: Simplify (+ 0 0) into 0 19.741 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)))) into 0 19.741 * [backup-simplify]: Simplify 0 into 0 19.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.742 * [backup-simplify]: Simplify (+ 0 0) into 0 19.743 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 19.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 19.745 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 19.746 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 19.746 * [backup-simplify]: Simplify (+ (* 1 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 7/16 19.748 * [backup-simplify]: Simplify (+ (* 1 7/16) (+ (* 0 0) (+ (* -1/4 -1/2) (+ (* 0 0) (* 3/16 1))))) into 3/4 19.748 * [backup-simplify]: Simplify (/ (- 3/4 (pow -3/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 39/128 19.749 * [backup-simplify]: Simplify (- 39/128) into -39/128 19.749 * [backup-simplify]: Simplify (+ 0 -39/128) into -39/128 19.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 19.750 * [backup-simplify]: Simplify (+ 0 1) into 1 19.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 19.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 19.752 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 19.753 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 19.753 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 19.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 19.756 * [backup-simplify]: Simplify (+ 0 1) into 1 19.757 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 19.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 19.759 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 19.759 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 19.760 * [backup-simplify]: Simplify (+ -1/8 -1/4) into -3/8 19.761 * [backup-simplify]: Simplify (- (/ -39/128 3) (+ (* 1/8 (/ -3/8 3)) (* 0 (/ 0 3)))) into -11/128 19.761 * [backup-simplify]: Simplify -11/128 into -11/128 19.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 19.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 19.765 * [backup-simplify]: Simplify (+ 0 0) into 0 19.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 19.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 19.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 19.772 * [backup-simplify]: Simplify (+ 0 0) into 0 19.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/16) (+ (* -1/4 0) (+ (* 0 -1/4) (+ (* 3/16 0) (* 0 1)))))) into 0 19.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 7/16) (+ (* -1/4 0) (+ (* 0 -1/2) (+ (* 3/16 0) (* 0 1)))))) into 0 19.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 39/128)) (* 2 (* -3/8 0)))) (* 2 1)) into 0 19.779 * [backup-simplify]: Simplify (- 0) into 0 19.779 * [backup-simplify]: Simplify (+ 0 0) into 0 19.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 19.782 * [backup-simplify]: Simplify (+ 0 0) into 0 19.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 19.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 19.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 19.784 * [backup-simplify]: Simplify (+ 0 0) into 0 19.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 19.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 19.787 * [backup-simplify]: Simplify (+ 0 0) into 0 19.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 19.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 19.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 19.789 * [backup-simplify]: Simplify (+ 0 0) into 0 19.789 * [backup-simplify]: Simplify (+ 0 0) into 0 19.790 * [backup-simplify]: Simplify (- (/ 0 3) (+ (* 1/8 (/ 0 3)) (* 0 (/ -3/8 3)) (* -11/128 (/ 0 3)))) into 0 19.790 * [backup-simplify]: Simplify 0 into 0 19.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 19.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 19.792 * [backup-simplify]: Simplify (+ 0 0) into 0 19.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 19.795 * [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 19.796 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 19.797 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 19.798 * [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 19.800 * [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 19.801 * [backup-simplify]: Simplify (/ (- -49/64 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -3/8 39/128)))) (* 2 1)) into -275/1024 19.801 * [backup-simplify]: Simplify (- -275/1024) into 275/1024 19.802 * [backup-simplify]: Simplify (+ 0 275/1024) into 275/1024 19.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.803 * [backup-simplify]: Simplify (+ 0 0) into 0 19.804 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 19.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 19.806 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 19.806 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 19.812 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 19.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 19.815 * [backup-simplify]: Simplify (+ 0 0) into 0 19.817 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 19.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 19.821 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 19.821 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 19.822 * [backup-simplify]: Simplify (+ 11/128 3/16) into 35/128 19.824 * [backup-simplify]: Simplify (- (/ 275/1024 3) (+ (* 1/8 (/ 35/128 3)) (* 0 (/ 0 3)) (* -11/128 (/ -3/8 3)) (* 0 (/ 0 3)))) into 69/1024 19.824 * [backup-simplify]: Simplify 69/1024 into 69/1024 19.824 * [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))) 19.826 * [backup-simplify]: Simplify (cbrt (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))))) (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))))) 19.826 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))))) in (x) around 0 19.826 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))))) in x 19.826 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.826 * [taylor]: Taking taylor expansion of 1 in x 19.826 * [backup-simplify]: Simplify 1 into 1 19.826 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.827 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.827 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.827 * [taylor]: Taking taylor expansion of 1/2 in x 19.827 * [backup-simplify]: Simplify 1/2 into 1/2 19.827 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.827 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.827 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.827 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.827 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.827 * [taylor]: Taking taylor expansion of 1 in x 19.827 * [backup-simplify]: Simplify 1 into 1 19.827 * [taylor]: Taking taylor expansion of 1 in x 19.827 * [backup-simplify]: Simplify 1 into 1 19.827 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.827 * [taylor]: Taking taylor expansion of x in x 19.827 * [backup-simplify]: Simplify 0 into 0 19.827 * [backup-simplify]: Simplify 1 into 1 19.828 * [backup-simplify]: Simplify (/ 1 1) into 1 19.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.828 * [taylor]: Taking taylor expansion of x in x 19.828 * [backup-simplify]: Simplify 0 into 0 19.828 * [backup-simplify]: Simplify 1 into 1 19.828 * [backup-simplify]: Simplify (/ 1 1) into 1 19.828 * [backup-simplify]: Simplify (* 1 1) into 1 19.829 * [backup-simplify]: Simplify (+ 0 1) into 1 19.829 * [backup-simplify]: Simplify (sqrt 1) into 1 19.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.832 * [backup-simplify]: Simplify (+ 0 0) into 0 19.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.833 * [backup-simplify]: Simplify (/ 1 1) into 1 19.833 * [taylor]: Taking taylor expansion of 1/2 in x 19.833 * [backup-simplify]: Simplify 1/2 into 1/2 19.834 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.834 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.834 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.835 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.835 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.836 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.836 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.837 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.838 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.839 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 19.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.839 * [taylor]: Taking taylor expansion of 1/2 in x 19.839 * [backup-simplify]: Simplify 1/2 into 1/2 19.839 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.839 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.839 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.839 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.839 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.839 * [taylor]: Taking taylor expansion of 1 in x 19.839 * [backup-simplify]: Simplify 1 into 1 19.839 * [taylor]: Taking taylor expansion of 1 in x 19.839 * [backup-simplify]: Simplify 1 into 1 19.839 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.839 * [taylor]: Taking taylor expansion of x in x 19.839 * [backup-simplify]: Simplify 0 into 0 19.839 * [backup-simplify]: Simplify 1 into 1 19.839 * [backup-simplify]: Simplify (/ 1 1) into 1 19.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.839 * [taylor]: Taking taylor expansion of x in x 19.840 * [backup-simplify]: Simplify 0 into 0 19.840 * [backup-simplify]: Simplify 1 into 1 19.840 * [backup-simplify]: Simplify (/ 1 1) into 1 19.840 * [backup-simplify]: Simplify (* 1 1) into 1 19.841 * [backup-simplify]: Simplify (+ 0 1) into 1 19.841 * [backup-simplify]: Simplify (sqrt 1) into 1 19.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.843 * [backup-simplify]: Simplify (+ 0 0) into 0 19.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.844 * [backup-simplify]: Simplify (/ 1 1) into 1 19.845 * [taylor]: Taking taylor expansion of (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 19.845 * [taylor]: Taking taylor expansion of 3/2 in x 19.845 * [backup-simplify]: Simplify 3/2 into 3/2 19.845 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.845 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.845 * [taylor]: Taking taylor expansion of 1/2 in x 19.845 * [backup-simplify]: Simplify 1/2 into 1/2 19.845 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.845 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.845 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.845 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.845 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.845 * [taylor]: Taking taylor expansion of 1 in x 19.845 * [backup-simplify]: Simplify 1 into 1 19.845 * [taylor]: Taking taylor expansion of 1 in x 19.845 * [backup-simplify]: Simplify 1 into 1 19.845 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.845 * [taylor]: Taking taylor expansion of x in x 19.845 * [backup-simplify]: Simplify 0 into 0 19.845 * [backup-simplify]: Simplify 1 into 1 19.845 * [backup-simplify]: Simplify (/ 1 1) into 1 19.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.845 * [taylor]: Taking taylor expansion of x in x 19.845 * [backup-simplify]: Simplify 0 into 0 19.845 * [backup-simplify]: Simplify 1 into 1 19.846 * [backup-simplify]: Simplify (/ 1 1) into 1 19.846 * [backup-simplify]: Simplify (* 1 1) into 1 19.847 * [backup-simplify]: Simplify (+ 0 1) into 1 19.847 * [backup-simplify]: Simplify (sqrt 1) into 1 19.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.849 * [backup-simplify]: Simplify (+ 0 0) into 0 19.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.850 * [backup-simplify]: Simplify (/ 1 1) into 1 19.850 * [taylor]: Taking taylor expansion of 1/2 in x 19.850 * [backup-simplify]: Simplify 1/2 into 1/2 19.851 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.851 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 19.852 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.852 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.853 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.854 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.855 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.856 * [backup-simplify]: Simplify (+ 3/2 (sqrt 1/2)) into (+ (sqrt 1/2) 3/2) 19.858 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 19.860 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 19.860 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))))) in x 19.860 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3))) in x 19.860 * [taylor]: Taking taylor expansion of 1 in x 19.860 * [backup-simplify]: Simplify 1 into 1 19.860 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3)) in x 19.860 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 3) in x 19.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.861 * [taylor]: Taking taylor expansion of 1/2 in x 19.861 * [backup-simplify]: Simplify 1/2 into 1/2 19.861 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.861 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.861 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.861 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.861 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.861 * [taylor]: Taking taylor expansion of 1 in x 19.861 * [backup-simplify]: Simplify 1 into 1 19.861 * [taylor]: Taking taylor expansion of 1 in x 19.861 * [backup-simplify]: Simplify 1 into 1 19.861 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.861 * [taylor]: Taking taylor expansion of x in x 19.861 * [backup-simplify]: Simplify 0 into 0 19.861 * [backup-simplify]: Simplify 1 into 1 19.861 * [backup-simplify]: Simplify (/ 1 1) into 1 19.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.861 * [taylor]: Taking taylor expansion of x in x 19.861 * [backup-simplify]: Simplify 0 into 0 19.861 * [backup-simplify]: Simplify 1 into 1 19.862 * [backup-simplify]: Simplify (/ 1 1) into 1 19.862 * [backup-simplify]: Simplify (* 1 1) into 1 19.862 * [backup-simplify]: Simplify (+ 0 1) into 1 19.863 * [backup-simplify]: Simplify (sqrt 1) into 1 19.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.865 * [backup-simplify]: Simplify (+ 0 0) into 0 19.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.866 * [backup-simplify]: Simplify (/ 1 1) into 1 19.866 * [taylor]: Taking taylor expansion of 1/2 in x 19.866 * [backup-simplify]: Simplify 1/2 into 1/2 19.867 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.867 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 19.867 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 19.868 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 19.868 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.869 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.869 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 19.870 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 19.871 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 19.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)))) in x 19.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.871 * [taylor]: Taking taylor expansion of 1/2 in x 19.871 * [backup-simplify]: Simplify 1/2 into 1/2 19.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.871 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.871 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.871 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.871 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.871 * [taylor]: Taking taylor expansion of 1 in x 19.871 * [backup-simplify]: Simplify 1 into 1 19.871 * [taylor]: Taking taylor expansion of 1 in x 19.871 * [backup-simplify]: Simplify 1 into 1 19.871 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.871 * [taylor]: Taking taylor expansion of x in x 19.871 * [backup-simplify]: Simplify 0 into 0 19.871 * [backup-simplify]: Simplify 1 into 1 19.872 * [backup-simplify]: Simplify (/ 1 1) into 1 19.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.872 * [taylor]: Taking taylor expansion of x in x 19.872 * [backup-simplify]: Simplify 0 into 0 19.872 * [backup-simplify]: Simplify 1 into 1 19.872 * [backup-simplify]: Simplify (/ 1 1) into 1 19.873 * [backup-simplify]: Simplify (* 1 1) into 1 19.873 * [backup-simplify]: Simplify (+ 0 1) into 1 19.873 * [backup-simplify]: Simplify (sqrt 1) into 1 19.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.876 * [backup-simplify]: Simplify (+ 0 0) into 0 19.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.877 * [backup-simplify]: Simplify (/ 1 1) into 1 19.877 * [taylor]: Taking taylor expansion of (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 19.877 * [taylor]: Taking taylor expansion of 3/2 in x 19.877 * [backup-simplify]: Simplify 3/2 into 3/2 19.877 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 19.877 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 19.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 19.877 * [taylor]: Taking taylor expansion of 1/2 in x 19.877 * [backup-simplify]: Simplify 1/2 into 1/2 19.877 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 19.877 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 19.877 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 19.877 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 19.877 * [taylor]: Taking taylor expansion of (* 1 1) in x 19.877 * [taylor]: Taking taylor expansion of 1 in x 19.877 * [backup-simplify]: Simplify 1 into 1 19.877 * [taylor]: Taking taylor expansion of 1 in x 19.877 * [backup-simplify]: Simplify 1 into 1 19.877 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 19.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.877 * [taylor]: Taking taylor expansion of x in x 19.877 * [backup-simplify]: Simplify 0 into 0 19.877 * [backup-simplify]: Simplify 1 into 1 19.878 * [backup-simplify]: Simplify (/ 1 1) into 1 19.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 19.878 * [taylor]: Taking taylor expansion of x in x 19.878 * [backup-simplify]: Simplify 0 into 0 19.878 * [backup-simplify]: Simplify 1 into 1 19.878 * [backup-simplify]: Simplify (/ 1 1) into 1 19.878 * [backup-simplify]: Simplify (* 1 1) into 1 19.879 * [backup-simplify]: Simplify (+ 0 1) into 1 19.879 * [backup-simplify]: Simplify (sqrt 1) into 1 19.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.882 * [backup-simplify]: Simplify (+ 0 0) into 0 19.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.883 * [backup-simplify]: Simplify (/ 1 1) into 1 19.883 * [taylor]: Taking taylor expansion of 1/2 in x 19.883 * [backup-simplify]: Simplify 1/2 into 1/2 19.883 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 19.884 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 19.884 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.884 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 19.886 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 19.887 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 19.888 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 19.889 * [backup-simplify]: Simplify (+ 3/2 (sqrt 1/2)) into (+ (sqrt 1/2) 3/2) 19.890 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 19.893 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 19.895 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 19.897 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.899 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 19.899 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 19.900 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (sqrt 1/2))) into (* 1/4 (/ 1 (sqrt 1/2))) 19.902 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 19.914 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 19.950 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 19.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.952 * [backup-simplify]: Simplify (+ 0 0) into 0 19.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 19.954 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 19.959 * [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))) 19.964 * [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)))) 19.968 * [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)))) 19.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 19.971 * [backup-simplify]: Simplify (+ 0 0) into 0 19.974 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 19.975 * [backup-simplify]: Simplify (+ 0 (/ -1/32 (pow (sqrt 1/2) 3))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 19.978 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 20.058 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 20.203 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 20.361 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 x)) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (* 1/4 (/ (sqrt 1/8) (* x (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2)))))))))))))) 20.363 * [backup-simplify]: Simplify (cbrt (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))))) (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) (+ (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))))))))) into (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))))) 20.364 * [approximate]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))))) in (x) around 0 20.364 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))))) in x 20.364 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 20.364 * [taylor]: Taking taylor expansion of 1 in x 20.364 * [backup-simplify]: Simplify 1 into 1 20.364 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 20.364 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 20.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 20.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.364 * [taylor]: Taking taylor expansion of 1/2 in x 20.364 * [backup-simplify]: Simplify 1/2 into 1/2 20.364 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.364 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.364 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.364 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.364 * [taylor]: Taking taylor expansion of 1 in x 20.364 * [backup-simplify]: Simplify 1 into 1 20.364 * [taylor]: Taking taylor expansion of 1 in x 20.364 * [backup-simplify]: Simplify 1 into 1 20.364 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.364 * [taylor]: Taking taylor expansion of -1 in x 20.364 * [backup-simplify]: Simplify -1 into -1 20.364 * [taylor]: Taking taylor expansion of x in x 20.364 * [backup-simplify]: Simplify 0 into 0 20.364 * [backup-simplify]: Simplify 1 into 1 20.365 * [backup-simplify]: Simplify (/ -1 1) into -1 20.365 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.365 * [taylor]: Taking taylor expansion of -1 in x 20.365 * [backup-simplify]: Simplify -1 into -1 20.365 * [taylor]: Taking taylor expansion of x in x 20.365 * [backup-simplify]: Simplify 0 into 0 20.365 * [backup-simplify]: Simplify 1 into 1 20.366 * [backup-simplify]: Simplify (/ -1 1) into -1 20.366 * [backup-simplify]: Simplify (* -1 -1) into 1 20.366 * [backup-simplify]: Simplify (+ 0 1) into 1 20.367 * [backup-simplify]: Simplify (sqrt 1) into 1 20.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.369 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.369 * [backup-simplify]: Simplify (+ 0 0) into 0 20.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.370 * [backup-simplify]: Simplify (/ 1 1) into 1 20.370 * [taylor]: Taking taylor expansion of 1/2 in x 20.371 * [backup-simplify]: Simplify 1/2 into 1/2 20.371 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.371 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.371 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.372 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.372 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.372 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.372 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.373 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.374 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.374 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 20.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.374 * [taylor]: Taking taylor expansion of 1/2 in x 20.374 * [backup-simplify]: Simplify 1/2 into 1/2 20.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.374 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.374 * [taylor]: Taking taylor expansion of 1 in x 20.374 * [backup-simplify]: Simplify 1 into 1 20.374 * [taylor]: Taking taylor expansion of 1 in x 20.374 * [backup-simplify]: Simplify 1 into 1 20.374 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.374 * [taylor]: Taking taylor expansion of -1 in x 20.374 * [backup-simplify]: Simplify -1 into -1 20.374 * [taylor]: Taking taylor expansion of x in x 20.374 * [backup-simplify]: Simplify 0 into 0 20.374 * [backup-simplify]: Simplify 1 into 1 20.375 * [backup-simplify]: Simplify (/ -1 1) into -1 20.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.375 * [taylor]: Taking taylor expansion of -1 in x 20.375 * [backup-simplify]: Simplify -1 into -1 20.375 * [taylor]: Taking taylor expansion of x in x 20.375 * [backup-simplify]: Simplify 0 into 0 20.375 * [backup-simplify]: Simplify 1 into 1 20.375 * [backup-simplify]: Simplify (/ -1 1) into -1 20.375 * [backup-simplify]: Simplify (* -1 -1) into 1 20.375 * [backup-simplify]: Simplify (+ 0 1) into 1 20.376 * [backup-simplify]: Simplify (sqrt 1) into 1 20.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.377 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.377 * [backup-simplify]: Simplify (+ 0 0) into 0 20.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.378 * [backup-simplify]: Simplify (/ 1 1) into 1 20.378 * [taylor]: Taking taylor expansion of (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 20.378 * [taylor]: Taking taylor expansion of 3/2 in x 20.378 * [backup-simplify]: Simplify 3/2 into 3/2 20.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 20.378 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 20.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.378 * [taylor]: Taking taylor expansion of 1/2 in x 20.378 * [backup-simplify]: Simplify 1/2 into 1/2 20.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.378 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.378 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.378 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.378 * [taylor]: Taking taylor expansion of 1 in x 20.378 * [backup-simplify]: Simplify 1 into 1 20.378 * [taylor]: Taking taylor expansion of 1 in x 20.378 * [backup-simplify]: Simplify 1 into 1 20.378 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.378 * [taylor]: Taking taylor expansion of -1 in x 20.378 * [backup-simplify]: Simplify -1 into -1 20.378 * [taylor]: Taking taylor expansion of x in x 20.378 * [backup-simplify]: Simplify 0 into 0 20.378 * [backup-simplify]: Simplify 1 into 1 20.379 * [backup-simplify]: Simplify (/ -1 1) into -1 20.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.379 * [taylor]: Taking taylor expansion of -1 in x 20.379 * [backup-simplify]: Simplify -1 into -1 20.379 * [taylor]: Taking taylor expansion of x in x 20.379 * [backup-simplify]: Simplify 0 into 0 20.379 * [backup-simplify]: Simplify 1 into 1 20.379 * [backup-simplify]: Simplify (/ -1 1) into -1 20.379 * [backup-simplify]: Simplify (* -1 -1) into 1 20.384 * [backup-simplify]: Simplify (+ 0 1) into 1 20.385 * [backup-simplify]: Simplify (sqrt 1) into 1 20.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.386 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.387 * [backup-simplify]: Simplify (+ 0 0) into 0 20.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.387 * [backup-simplify]: Simplify (/ 1 1) into 1 20.387 * [taylor]: Taking taylor expansion of 1/2 in x 20.387 * [backup-simplify]: Simplify 1/2 into 1/2 20.388 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.388 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 20.388 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.388 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.389 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 20.390 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 20.391 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 20.391 * [backup-simplify]: Simplify (+ 3/2 (sqrt 1/2)) into (+ (sqrt 1/2) 3/2) 20.392 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 20.394 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 20.394 * [taylor]: Taking taylor expansion of (/ (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))))) in x 20.394 * [taylor]: Taking taylor expansion of (- 1 (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3))) in x 20.394 * [taylor]: Taking taylor expansion of 1 in x 20.394 * [backup-simplify]: Simplify 1 into 1 20.394 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3)) in x 20.394 * [taylor]: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 3) in x 20.394 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 20.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.394 * [taylor]: Taking taylor expansion of 1/2 in x 20.394 * [backup-simplify]: Simplify 1/2 into 1/2 20.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.394 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.394 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.395 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.395 * [taylor]: Taking taylor expansion of 1 in x 20.395 * [backup-simplify]: Simplify 1 into 1 20.395 * [taylor]: Taking taylor expansion of 1 in x 20.395 * [backup-simplify]: Simplify 1 into 1 20.395 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.395 * [taylor]: Taking taylor expansion of -1 in x 20.395 * [backup-simplify]: Simplify -1 into -1 20.395 * [taylor]: Taking taylor expansion of x in x 20.395 * [backup-simplify]: Simplify 0 into 0 20.395 * [backup-simplify]: Simplify 1 into 1 20.395 * [backup-simplify]: Simplify (/ -1 1) into -1 20.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.395 * [taylor]: Taking taylor expansion of -1 in x 20.395 * [backup-simplify]: Simplify -1 into -1 20.395 * [taylor]: Taking taylor expansion of x in x 20.395 * [backup-simplify]: Simplify 0 into 0 20.395 * [backup-simplify]: Simplify 1 into 1 20.396 * [backup-simplify]: Simplify (/ -1 1) into -1 20.396 * [backup-simplify]: Simplify (* -1 -1) into 1 20.396 * [backup-simplify]: Simplify (+ 0 1) into 1 20.396 * [backup-simplify]: Simplify (sqrt 1) into 1 20.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.398 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.398 * [backup-simplify]: Simplify (+ 0 0) into 0 20.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.399 * [backup-simplify]: Simplify (/ 1 1) into 1 20.399 * [taylor]: Taking taylor expansion of 1/2 in x 20.399 * [backup-simplify]: Simplify 1/2 into 1/2 20.399 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.399 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 20.400 * [backup-simplify]: Simplify (* 1/2 1/4) into 1/8 20.400 * [backup-simplify]: Simplify (sqrt 1/8) into (sqrt 1/8) 20.400 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.400 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.401 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 20.401 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 1/2 1/4)) into 3/8 20.402 * [backup-simplify]: Simplify (/ 3/8 (* 2 (sqrt 1/8))) into (/ 3/16 (sqrt 1/8)) 20.402 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)))) in x 20.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.402 * [taylor]: Taking taylor expansion of 1/2 in x 20.402 * [backup-simplify]: Simplify 1/2 into 1/2 20.402 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.402 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.402 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.402 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.402 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.402 * [taylor]: Taking taylor expansion of 1 in x 20.402 * [backup-simplify]: Simplify 1 into 1 20.402 * [taylor]: Taking taylor expansion of 1 in x 20.402 * [backup-simplify]: Simplify 1 into 1 20.402 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.402 * [taylor]: Taking taylor expansion of -1 in x 20.402 * [backup-simplify]: Simplify -1 into -1 20.402 * [taylor]: Taking taylor expansion of x in x 20.402 * [backup-simplify]: Simplify 0 into 0 20.402 * [backup-simplify]: Simplify 1 into 1 20.403 * [backup-simplify]: Simplify (/ -1 1) into -1 20.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.403 * [taylor]: Taking taylor expansion of -1 in x 20.403 * [backup-simplify]: Simplify -1 into -1 20.403 * [taylor]: Taking taylor expansion of x in x 20.403 * [backup-simplify]: Simplify 0 into 0 20.403 * [backup-simplify]: Simplify 1 into 1 20.403 * [backup-simplify]: Simplify (/ -1 1) into -1 20.403 * [backup-simplify]: Simplify (* -1 -1) into 1 20.404 * [backup-simplify]: Simplify (+ 0 1) into 1 20.404 * [backup-simplify]: Simplify (sqrt 1) into 1 20.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.405 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.406 * [backup-simplify]: Simplify (+ 0 0) into 0 20.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.406 * [backup-simplify]: Simplify (/ 1 1) into 1 20.406 * [taylor]: Taking taylor expansion of (+ 3/2 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 20.406 * [taylor]: Taking taylor expansion of 3/2 in x 20.406 * [backup-simplify]: Simplify 3/2 into 3/2 20.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 20.406 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 20.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 20.406 * [taylor]: Taking taylor expansion of 1/2 in x 20.406 * [backup-simplify]: Simplify 1/2 into 1/2 20.406 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 20.406 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 20.406 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 20.406 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 20.406 * [taylor]: Taking taylor expansion of (* 1 1) in x 20.406 * [taylor]: Taking taylor expansion of 1 in x 20.407 * [backup-simplify]: Simplify 1 into 1 20.407 * [taylor]: Taking taylor expansion of 1 in x 20.407 * [backup-simplify]: Simplify 1 into 1 20.407 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 20.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.407 * [taylor]: Taking taylor expansion of -1 in x 20.407 * [backup-simplify]: Simplify -1 into -1 20.407 * [taylor]: Taking taylor expansion of x in x 20.407 * [backup-simplify]: Simplify 0 into 0 20.407 * [backup-simplify]: Simplify 1 into 1 20.407 * [backup-simplify]: Simplify (/ -1 1) into -1 20.407 * [taylor]: Taking taylor expansion of (/ -1 x) in x 20.407 * [taylor]: Taking taylor expansion of -1 in x 20.407 * [backup-simplify]: Simplify -1 into -1 20.407 * [taylor]: Taking taylor expansion of x in x 20.407 * [backup-simplify]: Simplify 0 into 0 20.407 * [backup-simplify]: Simplify 1 into 1 20.407 * [backup-simplify]: Simplify (/ -1 1) into -1 20.408 * [backup-simplify]: Simplify (* -1 -1) into 1 20.408 * [backup-simplify]: Simplify (+ 0 1) into 1 20.408 * [backup-simplify]: Simplify (sqrt 1) into 1 20.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.410 * [backup-simplify]: Simplify (+ 0 0) into 0 20.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.411 * [backup-simplify]: Simplify (/ 1 1) into 1 20.411 * [taylor]: Taking taylor expansion of 1/2 in x 20.411 * [backup-simplify]: Simplify 1/2 into 1/2 20.412 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 20.412 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 20.413 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.413 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.415 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 20.416 * [backup-simplify]: Simplify (- (sqrt 1/8)) into (- (sqrt 1/8)) 20.417 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/8))) into (- 1 (sqrt 1/8)) 20.418 * [backup-simplify]: Simplify (+ 3/2 (sqrt 1/2)) into (+ (sqrt 1/2) 3/2) 20.420 * [backup-simplify]: Simplify (+ 0 (+ (sqrt 1/2) 3/2)) into (+ (sqrt 1/2) 3/2) 20.423 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 20.426 * [backup-simplify]: Simplify (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) into (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) 20.428 * [backup-simplify]: Simplify (- (/ 3/16 (sqrt 1/8))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.431 * [backup-simplify]: Simplify (+ 0 (- (* 3/16 (/ 1 (sqrt 1/8))))) into (- (* 3/16 (/ 1 (sqrt 1/8)))) 20.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.434 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (sqrt 1/2))) into (* 1/4 (/ 1 (sqrt 1/2))) 20.436 * [backup-simplify]: Simplify (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) into (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) 20.457 * [backup-simplify]: Simplify (- (/ (- (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 20.483 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) into (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) 20.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.484 * [backup-simplify]: Simplify (+ 0 0) into 0 20.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 20.485 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 1/2 1/2) (* 0 1/4))) into 3/8 20.488 * [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))) 20.500 * [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)))) 20.508 * [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)))) 20.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.511 * [backup-simplify]: Simplify (+ 0 0) into 0 20.514 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 20.515 * [backup-simplify]: Simplify (+ 0 (/ -1/32 (pow (sqrt 1/2) 3))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 20.518 * [backup-simplify]: Simplify (+ 0 (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 20.581 * [backup-simplify]: Simplify (- (/ (- (* 9/512 (/ 1 (pow (sqrt 1/8) 3))) (* 3/16 (/ 1 (sqrt 1/8)))) (+ (sqrt 1/2) 3/2)) (+ (* (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 3/2))) (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) 1/2) (+ (sqrt 1/2) 3/2))))) into (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) 20.737 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))))))))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/8 (/ (sqrt 1/8) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (* 1/16 (/ (sqrt 1/8) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3)))))))))) into (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) 20.894 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/32 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8)))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/16 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2)))) (+ (* 9/512 (/ 1 (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3)))) (+ (* 3/64 (/ 1 (* (sqrt 1/2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (* 1/4 (/ 1 (pow (+ (sqrt 1/2) 3/2) 3))))))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2)))) (+ (* 1/32 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8)))) (+ (* 1/4 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 3))) (* 1/16 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ (sqrt 1/8) (pow (+ (sqrt 1/2) 3/2) 2))) (* 1/4 (/ (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ 1 (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))) (+ (* 1/2 (/ 1 (pow (+ (sqrt 1/2) 3/2) 2))) (* 3/16 (/ 1 (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))))) (/ 1 (- x))) (/ (- 1 (sqrt 1/8)) (+ (sqrt 1/2) 3/2)))) into (- (+ (/ 1 (+ (sqrt 1/2) 3/2)) (+ (* 1/4 (/ 1 (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (+ (* 3/64 (/ 1 (* (pow x 2) (* (sqrt 1/8) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2)))))) (+ (* 1/2 (/ 1 (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 3/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/8))))) (+ (* 1/4 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (sqrt 1/2))))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 3) (pow (sqrt 1/2) 2))))) (+ (* 9/512 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (pow (sqrt 1/8) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 3/2) 2) (pow (sqrt 1/2) 3))))) (+ (* 3/16 (/ 1 (* x (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (* 1/4 (/ 1 (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))))))))))))) (+ (* 3/16 (/ 1 (* (pow x 2) (* (+ (sqrt 1/2) 3/2) (sqrt 1/8))))) (+ (/ (sqrt 1/8) (+ (sqrt 1/2) 3/2)) (+ (* 1/16 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/4 (/ (sqrt 1/8) (* x (* (pow (+ (sqrt 1/2) 3/2) 2) (sqrt 1/2))))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (* (sqrt 1/2) (pow (+ (sqrt 1/2) 3/2) 3))))) (+ (* 1/2 (/ (sqrt 1/8) (* x (pow (+ (sqrt 1/2) 3/2) 2)))) (+ (* 1/4 (/ (sqrt 1/8) (* (pow x 2) (pow (+ (sqrt 1/2) 3/2) 3)))) (* 1/32 (/ (sqrt 1/8) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ (sqrt 1/2) 3/2) 2))))))))))))) 20.894 * * * [progress]: simplifying candidates 20.894 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 20.894 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 23 / 101 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))> 20.895 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 20.895 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 20.896 * * * * [progress]: [ 46 / 101 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))> 20.897 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 20.897 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 69 / 101 ] simplifiying candidate #real (real->posit16 (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))> 20.898 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 20.898 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 89 / 101 ] simplifiying candidate #real (real->posit16 (cbrt (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (/ (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))))))> 20.899 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 20.899 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 20.900 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 20.900 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 20.900 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 20.902 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 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)))))) (fma (sqrt 1) (sqrt 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)))))) (fma 1 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 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (* (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))))) (/ (exp 1) (exp (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) 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22.522 * * [simplify]: iteration complete: 5009 enodes 22.522 * * [simplify]: Extracting #0: cost 38 inf + 0 22.523 * * [simplify]: Extracting #1: cost 262 inf + 0 22.528 * * [simplify]: Extracting #2: cost 647 inf + 1404 22.542 * * [simplify]: Extracting #3: cost 1052 inf + 17392 22.575 * * [simplify]: Extracting #4: cost 968 inf + 85329 22.642 * * [simplify]: Extracting #5: cost 699 inf + 161462 22.733 * * [simplify]: Extracting #6: cost 371 inf + 265640 22.942 * * [simplify]: Extracting #7: cost 104 inf + 444389 23.269 * * [simplify]: Extracting #8: cost 8 inf + 575405 23.645 * * [simplify]: Extracting #9: cost 0 inf + 554750 24.017 * * [simplify]: Extracting #10: cost 0 inf + 541505 24.369 * * [simplify]: Extracting #11: cost 0 inf + 540156 24.681 * * [simplify]: Extracting #12: cost 0 inf + 540056 25.024 * [simplify]: Simplified to: (- 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))))) (- (* 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(sqrt 1/2) 3/2) x))) (sqrt 1/8))) (sqrt 1/2))))) 25.066 * * * [progress]: adding candidates to table 25.782 * [progress]: [Phase 3 of 3] Extracting. 25.782 * * [regime]: Finding splitpoints for: (# # #) 25.783 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 25.783 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 25.829 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# #) 25.849 * * * * [regimes]: Trying to branch on x from (# # #) 25.896 * * * [regime]: Found split indices: #