36.987 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.081 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.081 * * [simplify]: iteration 0: 9 enodes 0.086 * * [simplify]: iteration 1: 21 enodes 0.117 * * [simplify]: iteration 2: 43 enodes 0.127 * * [simplify]: iteration 3: 69 enodes 0.136 * * [simplify]: iteration 4: 89 enodes 0.146 * * [simplify]: iteration 5: 111 enodes 0.157 * * [simplify]: iteration 6: 114 enodes 0.169 * * [simplify]: iteration complete: 114 enodes 0.169 * * [simplify]: Extracting #0: cost 1 inf + 0 0.169 * * [simplify]: Extracting #1: cost 4 inf + 0 0.169 * * [simplify]: Extracting #2: cost 4 inf + 1 0.169 * * [simplify]: Extracting #3: cost 8 inf + 1 0.169 * * [simplify]: Extracting #4: cost 9 inf + 2 0.169 * * [simplify]: Extracting #5: cost 10 inf + 2 0.170 * * [simplify]: Extracting #6: cost 9 inf + 3 0.170 * * [simplify]: Extracting #7: cost 6 inf + 255 0.170 * * [simplify]: Extracting #8: cost 1 inf + 1024 0.171 * * [simplify]: Extracting #9: cost 0 inf + 1242 0.172 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.187 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.222 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.273 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.280 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.312 * [backup-simplify]: Simplify (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.312 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.312 * [taylor]: Taking taylor expansion of 1 in x 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of 1/2 in x 0.312 * [backup-simplify]: Simplify 1/2 into 1/2 0.312 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.313 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.313 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.313 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of (* x x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (* 0 0) into 0 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.315 * [backup-simplify]: Simplify (sqrt 1) into 1 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of 1/2 in x 0.318 * [backup-simplify]: Simplify 1/2 into 1/2 0.318 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.319 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.319 * [backup-simplify]: Simplify (sqrt 1) into 1 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.322 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.322 * [taylor]: Taking taylor expansion of 1 in x 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.322 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [backup-simplify]: Simplify 1/2 into 1/2 0.322 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.322 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.323 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.323 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of (* x x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (* 0 0) into 0 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (sqrt 1) into 1 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of 1/2 in x 0.328 * [backup-simplify]: Simplify 1/2 into 1/2 0.329 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.329 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.330 * [backup-simplify]: Simplify (sqrt 1) into 1 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [backup-simplify]: Simplify (- 1) into -1 0.333 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.337 * [backup-simplify]: Simplify (+ 0 1) into 1 0.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.340 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.340 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.341 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.342 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.342 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.342 * [backup-simplify]: Simplify 1/8 into 1/8 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.362 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.362 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.364 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.364 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.365 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.365 * [backup-simplify]: Simplify -11/128 into -11/128 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.380 * [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 0.381 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.382 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.383 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.383 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.383 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.383 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.383 * [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))) 0.384 * [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))) 0.384 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.384 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.384 * [taylor]: Taking taylor expansion of 1/2 in x 0.384 * [backup-simplify]: Simplify 1/2 into 1/2 0.384 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.384 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.384 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of 1 in x 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (+ 0 1) into 1 0.385 * [backup-simplify]: Simplify (sqrt 1) into 1 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [taylor]: Taking taylor expansion of 1/2 in x 0.388 * [backup-simplify]: Simplify 1/2 into 1/2 0.388 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.388 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.389 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.389 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.390 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.390 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.390 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.390 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of 1 in x 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [taylor]: Taking taylor expansion of 1/2 in x 0.394 * [backup-simplify]: Simplify 1/2 into 1/2 0.394 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.394 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.395 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.395 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.396 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.396 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.397 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.398 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.399 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.401 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.402 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.408 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.410 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.411 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.414 * [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))) 0.414 * [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))) 0.415 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.415 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.415 * [taylor]: Taking taylor expansion of 1 in x 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.415 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.415 * [taylor]: Taking taylor expansion of 1/2 in x 0.415 * [backup-simplify]: Simplify 1/2 into 1/2 0.415 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.415 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.415 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.415 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.415 * [taylor]: Taking taylor expansion of 1 in x 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of 1 in x 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ -1 1) into -1 0.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.415 * [taylor]: Taking taylor expansion of -1 in x 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ -1 1) into -1 0.416 * [backup-simplify]: Simplify (* -1 -1) into 1 0.416 * [backup-simplify]: Simplify (+ 0 1) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of 1/2 in x 0.419 * [backup-simplify]: Simplify 1/2 into 1/2 0.419 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.419 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.419 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.420 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.421 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.421 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.421 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.421 * [taylor]: Taking taylor expansion of 1/2 in x 0.421 * [backup-simplify]: Simplify 1/2 into 1/2 0.421 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.421 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.421 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ -1 1) into -1 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [backup-simplify]: Simplify -1 into -1 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ -1 1) into -1 0.422 * [backup-simplify]: Simplify (* -1 -1) into 1 0.422 * [backup-simplify]: Simplify (+ 0 1) into 1 0.422 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of 1/2 in x 0.425 * [backup-simplify]: Simplify 1/2 into 1/2 0.425 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.425 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.425 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.426 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.427 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.427 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.428 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.429 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.430 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.432 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.433 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.442 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.448 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.450 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.455 * [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)) 0.455 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.455 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.455 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of 1/2 in x 0.455 * [backup-simplify]: Simplify 1/2 into 1/2 0.455 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.455 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (* x x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (* 0 0) into 0 0.457 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [backup-simplify]: Simplify (sqrt 1) into 1 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.460 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of 1/2 in x 0.460 * [backup-simplify]: Simplify 1/2 into 1/2 0.460 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.460 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.460 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.460 * [taylor]: Taking taylor expansion of 1 in x 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of 1 in x 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of (* x x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (* 0 0) into 0 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (sqrt 1) into 1 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.465 * [backup-simplify]: Simplify 1/2 into 1/2 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.468 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.470 * [backup-simplify]: Simplify -1/4 into -1/4 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.482 * [backup-simplify]: Simplify 3/16 into 3/16 0.483 * [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))) 0.483 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.483 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.483 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of 1/2 in x 0.483 * [backup-simplify]: Simplify 1/2 into 1/2 0.483 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.483 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.484 * [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 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.490 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of 1/2 in x 0.490 * [backup-simplify]: Simplify 1/2 into 1/2 0.490 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.490 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.490 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.490 * [taylor]: Taking taylor expansion of 1 in x 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of 1 in x 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (+ 0 1) into 1 0.492 * [backup-simplify]: Simplify (sqrt 1) into 1 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.497 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.497 * [backup-simplify]: Simplify 1/2 into 1/2 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.503 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.504 * [backup-simplify]: Simplify -1/4 into -1/4 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.518 * [backup-simplify]: Simplify 3/16 into 3/16 0.519 * [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)))) 0.519 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.519 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of 1/2 in x 0.519 * [backup-simplify]: Simplify 1/2 into 1/2 0.519 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.519 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.519 * [taylor]: Taking taylor expansion of 1 in x 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of 1 in x 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [backup-simplify]: Simplify -1 into -1 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ -1 1) into -1 0.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.520 * [taylor]: Taking taylor expansion of -1 in x 0.520 * [backup-simplify]: Simplify -1 into -1 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ -1 1) into -1 0.521 * [backup-simplify]: Simplify (* -1 -1) into 1 0.521 * [backup-simplify]: Simplify (+ 0 1) into 1 0.522 * [backup-simplify]: Simplify (sqrt 1) into 1 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.526 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of 1/2 in x 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.526 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.526 * [taylor]: Taking taylor expansion of 1 in x 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of 1 in x 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [backup-simplify]: Simplify -1 into -1 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ -1 1) into -1 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [backup-simplify]: Simplify -1 into -1 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ -1 1) into -1 0.527 * [backup-simplify]: Simplify (* -1 -1) into 1 0.528 * [backup-simplify]: Simplify (+ 0 1) into 1 0.528 * [backup-simplify]: Simplify (sqrt 1) into 1 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.532 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.532 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.536 * [backup-simplify]: Simplify (+ 1 0) into 1 0.536 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.537 * [backup-simplify]: Simplify -1/4 into -1/4 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.546 * [backup-simplify]: Simplify 3/16 into 3/16 0.546 * [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)))) 0.546 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.546 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 x))) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.546 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of 1/2 in x 0.546 * [backup-simplify]: Simplify 1/2 into 1/2 0.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.546 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.546 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.546 * [taylor]: Taking taylor expansion of 1 in x 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [taylor]: Taking taylor expansion of 1 in x 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [taylor]: Taking taylor expansion of (* x x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (* 0 0) into 0 0.547 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (sqrt 1) into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [taylor]: Taking taylor expansion of 1/2 in x 0.550 * [backup-simplify]: Simplify 1/2 into 1/2 0.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of 1/2 in x 0.550 * [backup-simplify]: Simplify 1/2 into 1/2 0.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.550 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.550 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.550 * [taylor]: Taking taylor expansion of 1 in x 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of 1 in x 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of (* x x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (* 1 1) into 1 0.550 * [backup-simplify]: Simplify (* 0 0) into 0 0.551 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (sqrt 1) into 1 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [taylor]: Taking taylor expansion of 1/2 in x 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.554 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.556 * [backup-simplify]: Simplify (+ 0 1) into 1 0.557 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.558 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.558 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.558 * [backup-simplify]: Simplify -1/4 into -1/4 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.567 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.567 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.567 * [backup-simplify]: Simplify 3/16 into 3/16 0.567 * [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))) 0.567 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.567 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.567 * [taylor]: Taking taylor expansion of 1/2 in x 0.568 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.568 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.568 * [taylor]: Taking taylor expansion of 1 in x 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of 1 in x 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (+ 0 1) into 1 0.569 * [backup-simplify]: Simplify (sqrt 1) into 1 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.575 * [taylor]: Taking taylor expansion of 1/2 in x 0.575 * [backup-simplify]: Simplify 1/2 into 1/2 0.575 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.575 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.575 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.575 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.575 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of 1 in x 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.577 * [backup-simplify]: Simplify (+ 0 1) into 1 0.578 * [backup-simplify]: Simplify (sqrt 1) into 1 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [taylor]: Taking taylor expansion of 1/2 in x 0.581 * [backup-simplify]: Simplify 1/2 into 1/2 0.582 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.582 * [backup-simplify]: Simplify 1/2 into 1/2 0.582 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.583 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.583 * [backup-simplify]: Simplify 1/2 into 1/2 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (+ 1 0) into 1 0.589 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.591 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.592 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.592 * [backup-simplify]: Simplify -1/4 into -1/4 0.592 * [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)))) 0.592 * [backup-simplify]: Simplify (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.592 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of 1/2 in x 0.593 * [backup-simplify]: Simplify 1/2 into 1/2 0.593 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.593 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.593 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.593 * [taylor]: Taking taylor expansion of 1 in x 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of 1 in x 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [backup-simplify]: Simplify -1 into -1 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (/ -1 1) into -1 0.594 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.594 * [taylor]: Taking taylor expansion of -1 in x 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (/ -1 1) into -1 0.594 * [backup-simplify]: Simplify (* -1 -1) into 1 0.595 * [backup-simplify]: Simplify (+ 0 1) into 1 0.595 * [backup-simplify]: Simplify (sqrt 1) into 1 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [taylor]: Taking taylor expansion of 1/2 in x 0.600 * [backup-simplify]: Simplify 1/2 into 1/2 0.600 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.600 * [taylor]: Taking taylor expansion of 1/2 in x 0.600 * [backup-simplify]: Simplify 1/2 into 1/2 0.600 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.600 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.600 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.600 * [taylor]: Taking taylor expansion of 1 in x 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [taylor]: Taking taylor expansion of 1 in x 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [backup-simplify]: Simplify -1 into -1 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ -1 1) into -1 0.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [backup-simplify]: Simplify -1 into -1 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ -1 1) into -1 0.602 * [backup-simplify]: Simplify (* -1 -1) into 1 0.602 * [backup-simplify]: Simplify (+ 0 1) into 1 0.602 * [backup-simplify]: Simplify (sqrt 1) into 1 0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.606 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [taylor]: Taking taylor expansion of 1/2 in x 0.606 * [backup-simplify]: Simplify 1/2 into 1/2 0.607 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.607 * [backup-simplify]: Simplify 1/2 into 1/2 0.607 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.608 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.608 * [backup-simplify]: Simplify 1/2 into 1/2 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.614 * [backup-simplify]: Simplify (+ 1 0) into 1 0.615 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.617 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.617 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.617 * [backup-simplify]: Simplify -1/4 into -1/4 0.618 * [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))) 0.618 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.618 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.618 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1/2 in x 0.618 * [backup-simplify]: Simplify 1/2 into 1/2 0.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.618 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.618 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.618 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of 1 in x 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (* x x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (* 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ 1 0) into 1 0.620 * [backup-simplify]: Simplify (sqrt 1) into 1 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [taylor]: Taking taylor expansion of 1/2 in x 0.623 * [backup-simplify]: Simplify 1/2 into 1/2 0.624 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.624 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.624 * [backup-simplify]: Simplify (sqrt 1) into 1 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.627 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.627 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.627 * [taylor]: Taking taylor expansion of 1/2 in x 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.627 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 (* x x) in x 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 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (* 0 0) into 0 0.629 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (sqrt 1) into 1 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of 1/2 in x 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.633 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.633 * [backup-simplify]: Simplify (sqrt 1) into 1 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.637 * [backup-simplify]: Simplify (+ 0 1) into 1 0.638 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.640 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.641 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.641 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.642 * [backup-simplify]: Simplify -1/8 into -1/8 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.658 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.658 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.660 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.660 * [backup-simplify]: Simplify 11/128 into 11/128 0.660 * [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))) 0.661 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.661 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.661 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.661 * [taylor]: Taking taylor expansion of 1/2 in x 0.661 * [backup-simplify]: Simplify 1/2 into 1/2 0.661 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.661 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.661 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.661 * [taylor]: Taking taylor expansion of 1 in x 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [taylor]: Taking taylor expansion of 1 in x 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (+ 0 1) into 1 0.663 * [backup-simplify]: Simplify (sqrt 1) into 1 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [taylor]: Taking taylor expansion of 1/2 in x 0.667 * [backup-simplify]: Simplify 1/2 into 1/2 0.668 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.668 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.668 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.669 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.670 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.670 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.671 * [taylor]: Taking taylor expansion of 1/2 in x 0.671 * [backup-simplify]: Simplify 1/2 into 1/2 0.671 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.671 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.671 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [backup-simplify]: Simplify (/ 1 1) into 1 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (+ 0 1) into 1 0.673 * [backup-simplify]: Simplify (sqrt 1) into 1 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.677 * [backup-simplify]: Simplify (/ 1 1) into 1 0.677 * [taylor]: Taking taylor expansion of 1/2 in x 0.677 * [backup-simplify]: Simplify 1/2 into 1/2 0.677 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.678 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.678 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.679 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.680 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.681 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.682 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.690 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.693 * [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))))) 0.694 * [backup-simplify]: Simplify (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.694 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.694 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.694 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.694 * [taylor]: Taking taylor expansion of 1/2 in x 0.694 * [backup-simplify]: Simplify 1/2 into 1/2 0.694 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.694 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.694 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of 1 in x 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.694 * [backup-simplify]: Simplify -1 into -1 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (/ -1 1) into -1 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [backup-simplify]: Simplify -1 into -1 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (/ -1 1) into -1 0.696 * [backup-simplify]: Simplify (* -1 -1) into 1 0.696 * [backup-simplify]: Simplify (+ 0 1) into 1 0.697 * [backup-simplify]: Simplify (sqrt 1) into 1 0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [taylor]: Taking taylor expansion of 1/2 in x 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.702 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.702 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.703 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.704 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.704 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.704 * [taylor]: Taking taylor expansion of 1/2 in x 0.704 * [backup-simplify]: Simplify 1/2 into 1/2 0.704 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.704 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.704 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.704 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.704 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.704 * [taylor]: Taking taylor expansion of 1 in x 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [taylor]: Taking taylor expansion of 1 in x 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.705 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.705 * [taylor]: Taking taylor expansion of -1 in x 0.705 * [backup-simplify]: Simplify -1 into -1 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ -1 1) into -1 0.705 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.705 * [taylor]: Taking taylor expansion of -1 in x 0.705 * [backup-simplify]: Simplify -1 into -1 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ -1 1) into -1 0.706 * [backup-simplify]: Simplify (* -1 -1) into 1 0.707 * [backup-simplify]: Simplify (+ 0 1) into 1 0.707 * [backup-simplify]: Simplify (sqrt 1) into 1 0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [taylor]: Taking taylor expansion of 1/2 in x 0.711 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.712 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.712 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.715 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.717 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.717 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.718 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.728 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.731 * [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)))))) 0.731 * * * [progress]: simplifying candidates 0.731 * * * * [progress]: [ 1 / 127 ] simplifiying candidate # 0.731 * * * * [progress]: [ 2 / 127 ] simplifiying candidate # 0.731 * * * * [progress]: [ 3 / 127 ] simplifiying candidate # 0.731 * * * * [progress]: [ 4 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 5 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 6 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 7 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 8 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 9 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 10 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 11 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 12 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 13 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 14 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 15 / 127 ] simplifiying candidate # 0.732 * * * * [progress]: [ 16 / 127 ] simplifiying candidate # 0.733 * * * * [progress]: [ 17 / 127 ] simplifiying candidate # 0.733 * * * * [progress]: [ 18 / 127 ] simplifiying candidate # 0.733 * * * * [progress]: [ 19 / 127 ] simplifiying candidate # 0.733 * * * * [progress]: [ 20 / 127 ] 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[progress]: [ 36 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 37 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 38 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 39 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 40 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 41 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 42 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 43 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 44 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 45 / 127 ] simplifiying candidate # 0.734 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.734 * * * * [progress]: [ 47 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 48 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 49 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 50 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 51 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 52 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 53 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 54 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 55 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 56 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 57 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 58 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 59 / 127 ] simplifiying candidate # 0.735 * * * * [progress]: [ 60 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 61 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 62 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 63 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 64 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 65 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 66 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 67 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 68 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 69 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 70 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 71 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 72 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 73 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 74 / 127 ] simplifiying candidate # 0.736 * * * * [progress]: [ 75 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))))))> 0.737 * * * * [progress]: [ 77 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 78 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 79 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 80 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 81 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 82 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 83 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 84 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 85 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 86 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 87 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 88 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 89 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 90 / 127 ] simplifiying candidate # 0.737 * * * * [progress]: [ 91 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 92 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #real (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.738 * * * * [progress]: [ 94 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 95 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 96 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 97 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 98 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 99 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 100 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 101 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 102 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 103 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 104 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 105 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 106 / 127 ] simplifiying candidate # 0.738 * * * * [progress]: [ 107 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 108 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 109 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 110 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 111 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 112 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 113 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 114 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))))> 0.739 * * * * [progress]: [ 116 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 117 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 118 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 119 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 120 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 121 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 122 / 127 ] simplifiying candidate # 0.739 * * * * [progress]: [ 123 / 127 ] simplifiying candidate # 0.740 * * * * [progress]: [ 124 / 127 ] simplifiying candidate # 0.740 * * * * [progress]: [ 125 / 127 ] simplifiying candidate # 0.740 * * * * [progress]: [ 126 / 127 ] simplifiying candidate # 0.740 * * * * [progress]: [ 127 / 127 ] simplifiying candidate # 0.743 * [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 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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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(- (+ (* 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)))))) 0.747 * * [simplify]: iteration 0: 213 enodes 0.883 * * [simplify]: iteration 1: 507 enodes 1.223 * * [simplify]: iteration 2: 1398 enodes 1.601 * * [simplify]: iteration 3: 2001 enodes 1.898 * * [simplify]: iteration complete: 2001 enodes 1.898 * * [simplify]: Extracting #0: cost 95 inf + 0 1.899 * * [simplify]: Extracting #1: cost 351 inf + 3 1.902 * * [simplify]: Extracting #2: cost 384 inf + 6697 1.908 * * [simplify]: Extracting #3: cost 203 inf + 37230 1.927 * * [simplify]: Extracting #4: cost 20 inf + 79621 1.948 * * [simplify]: Extracting #5: cost 4 inf + 84019 1.973 * * [simplify]: Extracting #6: cost 0 inf + 85579 1.997 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (+ (- (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (- 1 (/ 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) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (log (+ 1/2 (/ 1/2 (hypot 1 x)))) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))) (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 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))) (sqrt (fma (- (/ 1/2 (hypot 1 x)) 1/2) (/ 1/2 (hypot 1 x)) 1/4)) (sqrt (- 1/4 (/ (/ 1/4 (hypot 1 x)) (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma (* (* x x) (* x x)) -11/128 (fma (* x x) 1/8 (* (* (* (* x x) x) (* (* x x) x)) 69/1024))) (- (- (+ (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2)) 1) (sqrt 1/2)) (/ (/ 1/4 (sqrt 1/2)) x)) (+ (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2)) (+ 1 (- (/ (/ 1/4 (sqrt 1/2)) x) (sqrt 1/2)))) (fma -1/4 (* x x) (fma 3/16 (* (* x x) (* x x)) 1/2)) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (- (- (/ 1/4 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ 1/2 x)) (fma -1/4 (* x x) (fma 3/16 (* (* x x) (* x x)) 1)) (+ 1/2 (- (/ 1/2 x) (/ 1/4 (* (* x x) x)))) (fma (/ 1/2 x) (/ 1/2 (* x x)) (- 1/2 (/ 1/2 x))) (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)) (- (+ (/ (/ 1/4 (sqrt 1/2)) x) (sqrt 1/2)) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (- (- (sqrt 1/2) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (/ (/ 1/4 (sqrt 1/2)) x)) 2.012 * * * [progress]: adding candidates to table 3.156 * * [progress]: iteration 2 / 4 3.156 * * * [progress]: picking best candidate 3.168 * * * * [pick]: Picked # 3.168 * * * [progress]: localizing error 3.211 * * * [progress]: generating rewritten candidates 3.211 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 3.315 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 3.320 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.355 * * * [progress]: generating series expansions 3.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.355 * [backup-simplify]: Simplify (- (- 1 (/ 1/2 (hypot 1 x))) 1/2) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.355 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.355 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.355 * [taylor]: Taking taylor expansion of 1/2 in x 3.355 * [backup-simplify]: Simplify 1/2 into 1/2 3.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.355 * [taylor]: Taking taylor expansion of 1/2 in x 3.356 * [backup-simplify]: Simplify 1/2 into 1/2 3.356 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.356 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.356 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.356 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.356 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.356 * [taylor]: Taking taylor expansion of 1 in x 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of 1 in x 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of (* x x) in x 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of x in x 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify (* 1 1) into 1 3.357 * [backup-simplify]: Simplify (* 0 0) into 0 3.358 * [backup-simplify]: Simplify (+ 1 0) into 1 3.358 * [backup-simplify]: Simplify (sqrt 1) into 1 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.360 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.361 * [backup-simplify]: Simplify (/ 1 1) into 1 3.361 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.361 * [taylor]: Taking taylor expansion of 1/2 in x 3.361 * [backup-simplify]: Simplify 1/2 into 1/2 3.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.361 * [taylor]: Taking taylor expansion of 1/2 in x 3.361 * [backup-simplify]: Simplify 1/2 into 1/2 3.362 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.362 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.362 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.362 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.362 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.362 * [taylor]: Taking taylor expansion of 1 in x 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of 1 in x 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (* x x) in x 3.362 * [taylor]: Taking taylor expansion of x in x 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of x in x 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (* 1 1) into 1 3.363 * [backup-simplify]: Simplify (* 0 0) into 0 3.364 * [backup-simplify]: Simplify (+ 1 0) into 1 3.364 * [backup-simplify]: Simplify (sqrt 1) into 1 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.366 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.367 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.368 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.368 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.373 * [backup-simplify]: Simplify (+ 0 1) into 1 3.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.376 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.377 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.377 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.377 * [backup-simplify]: Simplify 1/4 into 1/4 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (- 0) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.394 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.394 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.394 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.395 * [backup-simplify]: Simplify -3/16 into -3/16 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.398 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.405 * [backup-simplify]: Simplify (- 0) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.409 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 3.416 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.416 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.417 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.417 * [backup-simplify]: Simplify 5/32 into 5/32 3.417 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 3.417 * [backup-simplify]: Simplify (- (- 1 (/ 1/2 (hypot 1 (/ 1 x)))) 1/2) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.417 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.417 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.417 * [taylor]: Taking taylor expansion of 1/2 in x 3.417 * [backup-simplify]: Simplify 1/2 into 1/2 3.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.418 * [taylor]: Taking taylor expansion of 1/2 in x 3.418 * [backup-simplify]: Simplify 1/2 into 1/2 3.418 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.418 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.418 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.418 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.418 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.418 * [taylor]: Taking taylor expansion of 1 in x 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [taylor]: Taking taylor expansion of 1 in x 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.418 * [taylor]: Taking taylor expansion of x in x 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (/ 1 1) into 1 3.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.418 * [taylor]: Taking taylor expansion of x in x 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (+ 0 1) into 1 3.420 * [backup-simplify]: Simplify (sqrt 1) into 1 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.424 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.424 * [taylor]: Taking taylor expansion of 1/2 in x 3.424 * [backup-simplify]: Simplify 1/2 into 1/2 3.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.424 * [taylor]: Taking taylor expansion of 1/2 in x 3.424 * [backup-simplify]: Simplify 1/2 into 1/2 3.424 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.424 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.424 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.424 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.424 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.424 * [taylor]: Taking taylor expansion of 1 in x 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of 1 in x 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (/ 1 1) into 1 3.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (/ 1 1) into 1 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.426 * [backup-simplify]: Simplify (+ 0 1) into 1 3.426 * [backup-simplify]: Simplify (sqrt 1) into 1 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.430 * [backup-simplify]: Simplify (/ 1 1) into 1 3.430 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.430 * [backup-simplify]: Simplify 1/2 into 1/2 3.431 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.431 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.431 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.432 * [backup-simplify]: Simplify -1/2 into -1/2 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (* 1 1) into 1 3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.441 * [backup-simplify]: Simplify (+ 1 0) into 1 3.442 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.443 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.443 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.444 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.444 * [backup-simplify]: Simplify 1/4 into 1/4 3.444 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 3.444 * [backup-simplify]: Simplify (- (- 1 (/ 1/2 (hypot 1 (/ 1 (- x))))) 1/2) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.444 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.444 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.444 * [taylor]: Taking taylor expansion of 1/2 in x 3.444 * [backup-simplify]: Simplify 1/2 into 1/2 3.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.444 * [taylor]: Taking taylor expansion of 1/2 in x 3.444 * [backup-simplify]: Simplify 1/2 into 1/2 3.444 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.444 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.444 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.444 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.444 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.444 * [taylor]: Taking taylor expansion of 1 in x 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [taylor]: Taking taylor expansion of 1 in x 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.444 * [taylor]: Taking taylor expansion of -1 in x 3.444 * [backup-simplify]: Simplify -1 into -1 3.444 * [taylor]: Taking taylor expansion of x in x 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (/ -1 1) into -1 3.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.445 * [taylor]: Taking taylor expansion of -1 in x 3.445 * [backup-simplify]: Simplify -1 into -1 3.445 * [taylor]: Taking taylor expansion of x in x 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 1 into 1 3.445 * [backup-simplify]: Simplify (/ -1 1) into -1 3.445 * [backup-simplify]: Simplify (* -1 -1) into 1 3.445 * [backup-simplify]: Simplify (+ 0 1) into 1 3.446 * [backup-simplify]: Simplify (sqrt 1) into 1 3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.447 * [backup-simplify]: Simplify (+ 0 0) into 0 3.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.448 * [taylor]: Taking taylor expansion of 1/2 in x 3.448 * [backup-simplify]: Simplify 1/2 into 1/2 3.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.448 * [taylor]: Taking taylor expansion of 1/2 in x 3.448 * [backup-simplify]: Simplify 1/2 into 1/2 3.448 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.448 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.448 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.448 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.448 * [taylor]: Taking taylor expansion of 1 in x 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [taylor]: Taking taylor expansion of 1 in x 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.448 * [taylor]: Taking taylor expansion of -1 in x 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [taylor]: Taking taylor expansion of x in x 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ -1 1) into -1 3.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.449 * [taylor]: Taking taylor expansion of -1 in x 3.449 * [backup-simplify]: Simplify -1 into -1 3.449 * [taylor]: Taking taylor expansion of x in x 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ -1 1) into -1 3.449 * [backup-simplify]: Simplify (* -1 -1) into 1 3.449 * [backup-simplify]: Simplify (+ 0 1) into 1 3.450 * [backup-simplify]: Simplify (sqrt 1) into 1 3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.451 * [backup-simplify]: Simplify (+ 0 0) into 0 3.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.452 * [backup-simplify]: Simplify 1/2 into 1/2 3.453 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.453 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.453 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.453 * [backup-simplify]: Simplify -1/2 into -1/2 3.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.454 * [backup-simplify]: Simplify (- 0) into 0 3.454 * [backup-simplify]: Simplify (+ 0 0) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (* 1 1) into 1 3.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.457 * [backup-simplify]: Simplify (+ 1 0) into 1 3.457 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.459 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.459 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.459 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.459 * [backup-simplify]: Simplify 1/4 into 1/4 3.459 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 3.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 3.459 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.459 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.459 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.459 * [taylor]: Taking taylor expansion of 1/2 in x 3.459 * [backup-simplify]: Simplify 1/2 into 1/2 3.459 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.460 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.460 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.460 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.460 * [taylor]: Taking taylor expansion of 1 in x 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [taylor]: Taking taylor expansion of 1 in x 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [taylor]: Taking taylor expansion of (* x x) in x 3.460 * [taylor]: Taking taylor expansion of x in x 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [taylor]: Taking taylor expansion of x in x 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify (* 0 0) into 0 3.460 * [backup-simplify]: Simplify (+ 1 0) into 1 3.461 * [backup-simplify]: Simplify (sqrt 1) into 1 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.462 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.463 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.463 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.463 * [taylor]: Taking taylor expansion of 1/2 in x 3.463 * [backup-simplify]: Simplify 1/2 into 1/2 3.463 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.463 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.463 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.463 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.463 * [taylor]: Taking taylor expansion of 1 in x 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of 1 in x 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of (* x x) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of x in x 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.464 * [backup-simplify]: Simplify (* 1 1) into 1 3.464 * [backup-simplify]: Simplify (* 0 0) into 0 3.465 * [backup-simplify]: Simplify (+ 1 0) into 1 3.465 * [backup-simplify]: Simplify (sqrt 1) into 1 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.468 * [backup-simplify]: Simplify 1/2 into 1/2 3.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.471 * [backup-simplify]: Simplify (+ 0 1) into 1 3.472 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.473 * [backup-simplify]: Simplify -1/4 into -1/4 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.483 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.485 * [backup-simplify]: Simplify 3/16 into 3/16 3.486 * [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))) 3.486 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.486 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.486 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.486 * [taylor]: Taking taylor expansion of 1/2 in x 3.486 * [backup-simplify]: Simplify 1/2 into 1/2 3.486 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.486 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.486 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.486 * [taylor]: Taking taylor expansion of 1 in x 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [taylor]: Taking taylor expansion of 1 in x 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (/ 1 1) into 1 3.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.487 * [taylor]: Taking taylor expansion of x in x 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (/ 1 1) into 1 3.488 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (+ 0 1) into 1 3.488 * [backup-simplify]: Simplify (sqrt 1) into 1 3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.492 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.492 * [taylor]: Taking taylor expansion of 1/2 in x 3.492 * [backup-simplify]: Simplify 1/2 into 1/2 3.492 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.492 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.492 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.492 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.492 * [taylor]: Taking taylor expansion of 1 in x 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [taylor]: Taking taylor expansion of 1 in x 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (+ 0 1) into 1 3.494 * [backup-simplify]: Simplify (sqrt 1) into 1 3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.499 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.499 * [backup-simplify]: Simplify 1/2 into 1/2 3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (* 1 1) into 1 3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.503 * [backup-simplify]: Simplify (+ 1 0) into 1 3.504 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.505 * [backup-simplify]: Simplify -1/4 into -1/4 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.520 * [backup-simplify]: Simplify 3/16 into 3/16 3.520 * [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)))) 3.520 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.520 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.521 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.521 * [taylor]: Taking taylor expansion of 1/2 in x 3.521 * [backup-simplify]: Simplify 1/2 into 1/2 3.521 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.521 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.521 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.521 * [taylor]: Taking taylor expansion of 1 in x 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [taylor]: Taking taylor expansion of 1 in x 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.521 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.521 * [taylor]: Taking taylor expansion of -1 in x 3.521 * [backup-simplify]: Simplify -1 into -1 3.521 * [taylor]: Taking taylor expansion of x in x 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify (/ -1 1) into -1 3.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.522 * [taylor]: Taking taylor expansion of -1 in x 3.522 * [backup-simplify]: Simplify -1 into -1 3.522 * [taylor]: Taking taylor expansion of x in x 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify (/ -1 1) into -1 3.522 * [backup-simplify]: Simplify (* -1 -1) into 1 3.523 * [backup-simplify]: Simplify (+ 0 1) into 1 3.523 * [backup-simplify]: Simplify (sqrt 1) into 1 3.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.526 * [backup-simplify]: Simplify (+ 0 0) into 0 3.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.527 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.527 * [taylor]: Taking taylor expansion of 1/2 in x 3.527 * [backup-simplify]: Simplify 1/2 into 1/2 3.527 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.527 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.527 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.527 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.527 * [taylor]: Taking taylor expansion of 1 in x 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [taylor]: Taking taylor expansion of 1 in x 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.528 * [taylor]: Taking taylor expansion of -1 in x 3.528 * [backup-simplify]: Simplify -1 into -1 3.528 * [taylor]: Taking taylor expansion of x in x 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (/ -1 1) into -1 3.528 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.528 * [taylor]: Taking taylor expansion of -1 in x 3.528 * [backup-simplify]: Simplify -1 into -1 3.528 * [taylor]: Taking taylor expansion of x in x 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.529 * [backup-simplify]: Simplify (/ -1 1) into -1 3.529 * [backup-simplify]: Simplify (* -1 -1) into 1 3.529 * [backup-simplify]: Simplify (+ 0 1) into 1 3.530 * [backup-simplify]: Simplify (sqrt 1) into 1 3.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.534 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.534 * [backup-simplify]: Simplify 1/2 into 1/2 3.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify (* 1 1) into 1 3.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.539 * [backup-simplify]: Simplify (+ 1 0) into 1 3.540 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.541 * [backup-simplify]: Simplify -1/4 into -1/4 3.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.545 * [backup-simplify]: Simplify (+ 0 0) into 0 3.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.554 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.556 * [backup-simplify]: Simplify 3/16 into 3/16 3.556 * [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)))) 3.556 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 3.556 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.556 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.556 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.556 * [taylor]: Taking taylor expansion of 1/2 in x 3.556 * [backup-simplify]: Simplify 1/2 into 1/2 3.556 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.556 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.556 * [taylor]: Taking taylor expansion of 1 in x 3.556 * [backup-simplify]: Simplify 1 into 1 3.556 * [taylor]: Taking taylor expansion of 1 in x 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [taylor]: Taking taylor expansion of (* x x) in x 3.557 * [taylor]: Taking taylor expansion of x in x 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [taylor]: Taking taylor expansion of x in x 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (* 1 1) into 1 3.557 * [backup-simplify]: Simplify (* 0 0) into 0 3.558 * [backup-simplify]: Simplify (+ 1 0) into 1 3.558 * [backup-simplify]: Simplify (sqrt 1) into 1 3.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.562 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.562 * [taylor]: Taking taylor expansion of 1/2 in x 3.562 * [backup-simplify]: Simplify 1/2 into 1/2 3.562 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.562 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.562 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.562 * [taylor]: Taking taylor expansion of 1 in x 3.562 * [backup-simplify]: Simplify 1 into 1 3.562 * [taylor]: Taking taylor expansion of 1 in x 3.562 * [backup-simplify]: Simplify 1 into 1 3.562 * [taylor]: Taking taylor expansion of (* x x) in x 3.562 * [taylor]: Taking taylor expansion of x in x 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.562 * [taylor]: Taking taylor expansion of x in x 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (* 1 1) into 1 3.563 * [backup-simplify]: Simplify (* 0 0) into 0 3.563 * [backup-simplify]: Simplify (+ 1 0) into 1 3.564 * [backup-simplify]: Simplify (sqrt 1) into 1 3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.565 * [backup-simplify]: Simplify (+ 0 0) into 0 3.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.567 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.567 * [backup-simplify]: Simplify 1/2 into 1/2 3.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.573 * [backup-simplify]: Simplify (+ 0 1) into 1 3.574 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.575 * [backup-simplify]: Simplify -1/4 into -1/4 3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.581 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.583 * [backup-simplify]: Simplify 3/16 into 3/16 3.583 * [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))) 3.583 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.583 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.583 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.583 * [taylor]: Taking taylor expansion of 1/2 in x 3.583 * [backup-simplify]: Simplify 1/2 into 1/2 3.583 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.584 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.584 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.584 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.584 * [taylor]: Taking taylor expansion of 1 in x 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [taylor]: Taking taylor expansion of 1 in x 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (/ 1 1) into 1 3.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (/ 1 1) into 1 3.585 * [backup-simplify]: Simplify (* 1 1) into 1 3.585 * [backup-simplify]: Simplify (+ 0 1) into 1 3.585 * [backup-simplify]: Simplify (sqrt 1) into 1 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.588 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.588 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.588 * [taylor]: Taking taylor expansion of 1/2 in x 3.588 * [backup-simplify]: Simplify 1/2 into 1/2 3.588 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.588 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.588 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.588 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.588 * [taylor]: Taking taylor expansion of 1 in x 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [taylor]: Taking taylor expansion of 1 in x 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.588 * [taylor]: Taking taylor expansion of x in x 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.588 * [taylor]: Taking taylor expansion of x in x 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.589 * [backup-simplify]: Simplify (* 1 1) into 1 3.589 * [backup-simplify]: Simplify (+ 0 1) into 1 3.589 * [backup-simplify]: Simplify (sqrt 1) into 1 3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.592 * [backup-simplify]: Simplify 1/2 into 1/2 3.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (* 1 1) into 1 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.594 * [backup-simplify]: Simplify (+ 1 0) into 1 3.595 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.596 * [backup-simplify]: Simplify -1/4 into -1/4 3.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (+ 0 0) into 0 3.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.602 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.605 * [backup-simplify]: Simplify 3/16 into 3/16 3.605 * [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)))) 3.605 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.605 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.605 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.605 * [taylor]: Taking taylor expansion of 1/2 in x 3.605 * [backup-simplify]: Simplify 1/2 into 1/2 3.605 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.605 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.606 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.606 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.606 * [taylor]: Taking taylor expansion of 1 in x 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of 1 in x 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.606 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.606 * [taylor]: Taking taylor expansion of -1 in x 3.606 * [backup-simplify]: Simplify -1 into -1 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (/ -1 1) into -1 3.606 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.606 * [taylor]: Taking taylor expansion of -1 in x 3.606 * [backup-simplify]: Simplify -1 into -1 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (/ -1 1) into -1 3.607 * [backup-simplify]: Simplify (* -1 -1) into 1 3.607 * [backup-simplify]: Simplify (+ 0 1) into 1 3.607 * [backup-simplify]: Simplify (sqrt 1) into 1 3.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.610 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.610 * [taylor]: Taking taylor expansion of 1/2 in x 3.610 * [backup-simplify]: Simplify 1/2 into 1/2 3.610 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.610 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.610 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.610 * [taylor]: Taking taylor expansion of 1 in x 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of 1 in x 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.610 * [taylor]: Taking taylor expansion of -1 in x 3.610 * [backup-simplify]: Simplify -1 into -1 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (/ -1 1) into -1 3.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.610 * [taylor]: Taking taylor expansion of -1 in x 3.610 * [backup-simplify]: Simplify -1 into -1 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify (/ -1 1) into -1 3.611 * [backup-simplify]: Simplify (* -1 -1) into 1 3.611 * [backup-simplify]: Simplify (+ 0 1) into 1 3.611 * [backup-simplify]: Simplify (sqrt 1) into 1 3.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.613 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.614 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.614 * [backup-simplify]: Simplify 1/2 into 1/2 3.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify (* 1 1) into 1 3.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.617 * [backup-simplify]: Simplify (+ 1 0) into 1 3.617 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.618 * [backup-simplify]: Simplify -1/4 into -1/4 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.620 * [backup-simplify]: Simplify (+ 0 0) into 0 3.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.626 * [backup-simplify]: Simplify 3/16 into 3/16 3.627 * [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)))) 3.627 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.627 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 3.627 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 3.627 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.627 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.627 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.627 * [taylor]: Taking taylor expansion of 1/2 in x 3.627 * [backup-simplify]: Simplify 1/2 into 1/2 3.627 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.627 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.627 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.627 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.627 * [taylor]: Taking taylor expansion of 1 in x 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [taylor]: Taking taylor expansion of 1 in x 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [taylor]: Taking taylor expansion of (* x x) in x 3.627 * [taylor]: Taking taylor expansion of x in x 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [taylor]: Taking taylor expansion of x in x 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (* 1 1) into 1 3.628 * [backup-simplify]: Simplify (* 0 0) into 0 3.628 * [backup-simplify]: Simplify (+ 1 0) into 1 3.628 * [backup-simplify]: Simplify (sqrt 1) into 1 3.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.629 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.630 * [backup-simplify]: Simplify (/ 1 1) into 1 3.630 * [taylor]: Taking taylor expansion of 1/2 in x 3.630 * [backup-simplify]: Simplify 1/2 into 1/2 3.630 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.630 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.631 * [backup-simplify]: Simplify (sqrt 1) into 1 3.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.632 * [taylor]: Taking taylor expansion of 1 in x 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.632 * [taylor]: Taking taylor expansion of 1/2 in x 3.632 * [backup-simplify]: Simplify 1/2 into 1/2 3.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.632 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.632 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.632 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.632 * [taylor]: Taking taylor expansion of 1 in x 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of 1 in x 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of (* x x) in x 3.632 * [taylor]: Taking taylor expansion of x in x 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of x in x 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (* 1 1) into 1 3.633 * [backup-simplify]: Simplify (* 0 0) into 0 3.633 * [backup-simplify]: Simplify (+ 1 0) into 1 3.634 * [backup-simplify]: Simplify (sqrt 1) into 1 3.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.635 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.636 * [taylor]: Taking taylor expansion of 1/2 in x 3.636 * [backup-simplify]: Simplify 1/2 into 1/2 3.636 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.637 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.637 * [backup-simplify]: Simplify (sqrt 1) into 1 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.638 * [taylor]: Taking taylor expansion of 1 in x 3.638 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (+ 1 1) into 2 3.639 * [backup-simplify]: Simplify 2 into 2 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.640 * [backup-simplify]: Simplify (+ 0 1) into 1 3.641 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.643 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.644 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.645 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.645 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.645 * [backup-simplify]: Simplify -1/8 into -1/8 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.654 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.657 * [backup-simplify]: Simplify (+ 0 0) into 0 3.658 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.662 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.662 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.664 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.664 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.664 * [backup-simplify]: Simplify 11/128 into 11/128 3.665 * [backup-simplify]: Simplify (+ (* 11/128 (pow x 4)) (+ (* -1/8 (pow x 2)) 2)) into (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) 3.665 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 x)))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 3.665 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 3.665 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.665 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.665 * [taylor]: Taking taylor expansion of 1/2 in x 3.665 * [backup-simplify]: Simplify 1/2 into 1/2 3.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.665 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.665 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.665 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.665 * [taylor]: Taking taylor expansion of 1 in x 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of 1 in x 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.665 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ 1 1) into 1 3.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ 1 1) into 1 3.667 * [backup-simplify]: Simplify (* 1 1) into 1 3.667 * [backup-simplify]: Simplify (+ 0 1) into 1 3.668 * [backup-simplify]: Simplify (sqrt 1) into 1 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [taylor]: Taking taylor expansion of 1/2 in x 3.671 * [backup-simplify]: Simplify 1/2 into 1/2 3.672 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.672 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.673 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.673 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.675 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.675 * [taylor]: Taking taylor expansion of 1 in x 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.675 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.675 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.675 * [taylor]: Taking taylor expansion of 1/2 in x 3.675 * [backup-simplify]: Simplify 1/2 into 1/2 3.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.675 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.675 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.675 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.675 * [taylor]: Taking taylor expansion of 1 in x 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of 1 in x 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.675 * [taylor]: Taking taylor expansion of x in x 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.676 * [taylor]: Taking taylor expansion of x in x 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [backup-simplify]: Simplify (* 1 1) into 1 3.680 * [backup-simplify]: Simplify (+ 0 1) into 1 3.680 * [backup-simplify]: Simplify (sqrt 1) into 1 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.683 * [backup-simplify]: Simplify (/ 1 1) into 1 3.683 * [taylor]: Taking taylor expansion of 1/2 in x 3.683 * [backup-simplify]: Simplify 1/2 into 1/2 3.684 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.684 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.684 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.685 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.685 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.685 * [taylor]: Taking taylor expansion of 1 in x 3.685 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.687 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.688 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.689 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.694 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.696 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.700 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 x) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 x)) (+ (sqrt 1/2) 1))) into (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) 3.700 * [backup-simplify]: Simplify (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 3.700 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 3.700 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.700 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.700 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.700 * [taylor]: Taking taylor expansion of 1/2 in x 3.700 * [backup-simplify]: Simplify 1/2 into 1/2 3.700 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.700 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.700 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.700 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.700 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.700 * [taylor]: Taking taylor expansion of 1 in x 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [taylor]: Taking taylor expansion of 1 in x 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.700 * [taylor]: Taking taylor expansion of -1 in x 3.700 * [backup-simplify]: Simplify -1 into -1 3.700 * [taylor]: Taking taylor expansion of x in x 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ -1 1) into -1 3.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.701 * [taylor]: Taking taylor expansion of -1 in x 3.701 * [backup-simplify]: Simplify -1 into -1 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (/ -1 1) into -1 3.701 * [backup-simplify]: Simplify (* -1 -1) into 1 3.702 * [backup-simplify]: Simplify (+ 0 1) into 1 3.702 * [backup-simplify]: Simplify (sqrt 1) into 1 3.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [taylor]: Taking taylor expansion of 1/2 in x 3.704 * [backup-simplify]: Simplify 1/2 into 1/2 3.704 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.705 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.705 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.705 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.706 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.706 * [taylor]: Taking taylor expansion of 1 in x 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.706 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.706 * [taylor]: Taking taylor expansion of 1/2 in x 3.706 * [backup-simplify]: Simplify 1/2 into 1/2 3.706 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.706 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.706 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.706 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.706 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.706 * [taylor]: Taking taylor expansion of 1 in x 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [taylor]: Taking taylor expansion of 1 in x 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.706 * [taylor]: Taking taylor expansion of -1 in x 3.706 * [backup-simplify]: Simplify -1 into -1 3.706 * [taylor]: Taking taylor expansion of x in x 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (/ -1 1) into -1 3.707 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.707 * [taylor]: Taking taylor expansion of -1 in x 3.707 * [backup-simplify]: Simplify -1 into -1 3.707 * [taylor]: Taking taylor expansion of x in x 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (/ -1 1) into -1 3.707 * [backup-simplify]: Simplify (* -1 -1) into 1 3.708 * [backup-simplify]: Simplify (+ 0 1) into 1 3.708 * [backup-simplify]: Simplify (sqrt 1) into 1 3.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.710 * [backup-simplify]: Simplify (/ 1 1) into 1 3.710 * [taylor]: Taking taylor expansion of 1/2 in x 3.710 * [backup-simplify]: Simplify 1/2 into 1/2 3.710 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.711 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.711 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.711 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.712 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.712 * [taylor]: Taking taylor expansion of 1 in x 3.712 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.713 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.714 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.715 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.723 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.727 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.733 * [backup-simplify]: Simplify (+ (* (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1/4 (sqrt 1/2)) (/ 1 (- x))) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 3.733 * * * [progress]: simplifying candidates 3.733 * * * * [progress]: [ 1 / 185 ] simplifiying candidate # 3.733 * * * * [progress]: [ 2 / 185 ] simplifiying candidate # 3.734 * * * * [progress]: [ 3 / 185 ] simplifiying candidate # 3.734 * * * * [progress]: [ 4 / 185 ] simplifiying candidate # 3.734 * * * * [progress]: [ 5 / 185 ] simplifiying candidate # 3.734 * * * * [progress]: [ 6 / 185 ] 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[progress]: [ 22 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 23 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 24 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 25 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 26 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 27 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 28 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 29 / 185 ] simplifiying candidate # 3.735 * * * * [progress]: [ 30 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 31 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 32 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 33 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 34 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 35 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 36 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 37 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 38 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 39 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 40 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 41 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 42 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 43 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 44 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 45 / 185 ] simplifiying candidate # 3.736 * * * * [progress]: [ 46 / 185 ] simplifiying candidate # 3.737 * * * * [progress]: [ 47 / 185 ] simplifiying candidate # 3.737 * * * * [progress]: [ 48 / 185 ] simplifiying candidate # 3.737 * * * * [progress]: [ 49 / 185 ] simplifiying candidate # 3.737 * * * * [progress]: [ 50 / 185 ] simplifiying candidate # 3.737 * * * * [progress]: [ 51 / 185 ] simplifiying candidate # 3.737 * * * * [progress]: [ 52 / 185 ] simplifiying candidate # 3.737 * * * * [progress]: [ 53 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 54 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 55 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 56 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 57 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 58 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 59 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 60 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 61 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 62 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 63 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 64 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 65 / 185 ] simplifiying candidate # 3.738 * * * * [progress]: [ 66 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 67 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 68 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 69 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 70 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 71 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 72 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 73 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 74 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 75 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 76 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 77 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 78 / 185 ] simplifiying candidate # 3.739 * * * * [progress]: [ 79 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 80 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 81 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 82 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 83 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 84 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 85 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 86 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 87 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 88 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 89 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 90 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 91 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 92 / 185 ] simplifiying candidate # 3.740 * * * * [progress]: [ 93 / 185 ] simplifiying candidate #real (real->posit16 (- (- 1 (/ 1/2 (hypot 1 x))) 1/2))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 3.741 * * * * [progress]: [ 94 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 95 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 96 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 97 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 98 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 99 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 100 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 101 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 102 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 103 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 104 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 105 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 106 / 185 ] simplifiying candidate # 3.741 * * * * [progress]: [ 107 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 108 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 109 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 110 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 111 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 112 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 113 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 114 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 115 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 116 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 117 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 118 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 119 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 120 / 185 ] simplifiying candidate # 3.742 * * * * [progress]: [ 121 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 122 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 123 / 185 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))))))> 3.743 * * * * [progress]: [ 124 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 125 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 126 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 127 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 128 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 129 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 130 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 131 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 132 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 133 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 134 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 135 / 185 ] simplifiying candidate # 3.743 * * * * [progress]: [ 136 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 137 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 138 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 139 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 140 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 141 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 142 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 143 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 144 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 145 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 146 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 147 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 148 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 149 / 185 ] simplifiying candidate # 3.744 * * * * [progress]: [ 150 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 151 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 152 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 153 / 185 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) 1/2) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 3.745 * * * * [progress]: [ 154 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 155 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 156 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 157 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 158 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 159 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 160 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 161 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 162 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 163 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 164 / 185 ] simplifiying candidate # 3.745 * * * * [progress]: [ 165 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 166 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 167 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 168 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 169 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 170 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 171 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 172 / 185 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))))> 3.746 * * * * [progress]: [ 173 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 174 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 175 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 176 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 177 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 178 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 179 / 185 ] simplifiying candidate # 3.746 * * * * [progress]: [ 180 / 185 ] simplifiying candidate # 3.747 * * * * [progress]: [ 181 / 185 ] simplifiying candidate # 3.747 * * * * [progress]: [ 182 / 185 ] simplifiying candidate # 3.747 * * * * [progress]: [ 183 / 185 ] simplifiying candidate # 3.747 * * * * [progress]: [ 184 / 185 ] simplifiying candidate # 3.747 * * * * [progress]: [ 185 / 185 ] simplifiying candidate # 3.751 * [simplify]: Simplifying: (fma (* (cbrt (- 1 (/ 1/2 (hypot 1 x)))) (cbrt (- 1 (/ 1/2 (hypot 1 x))))) (cbrt 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1 1) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (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))))) (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) 3.757 * * [simplify]: iteration 0: 257 enodes 3.945 * * [simplify]: iteration 1: 675 enodes 4.317 * * [simplify]: iteration 2: 2000 enodes 4.687 * * [simplify]: iteration complete: 2000 enodes 4.688 * * [simplify]: Extracting #0: cost 93 inf + 0 4.689 * * [simplify]: Extracting #1: cost 356 inf + 45 4.693 * * [simplify]: Extracting #2: cost 612 inf + 2079 4.702 * * [simplify]: Extracting #3: cost 530 inf + 22624 4.716 * * [simplify]: Extracting #4: cost 223 inf + 83753 4.736 * * [simplify]: Extracting #5: cost 56 inf + 126276 4.775 * * [simplify]: Extracting #6: cost 7 inf + 139262 4.800 * * [simplify]: Extracting #7: cost 0 inf + 141322 4.848 * [simplify]: Simplified to: (fma (* (cbrt (+ (/ -1/2 (hypot 1 x)) 1)) (cbrt (+ (/ -1/2 (hypot 1 x)) 1))) (cbrt (+ (/ -1/2 (hypot 1 x)) 1)) (- 1/2)) (+ (- 1/2) 1/2) (fma (* (cbrt (+ (/ -1/2 (hypot 1 x)) 1)) (cbrt (+ (/ -1/2 (hypot 1 x)) 1))) (cbrt (+ (/ -1/2 (hypot 1 x)) 1)) -1/2) 0 (fma (* (cbrt (+ (/ -1/2 (hypot 1 x)) 1)) (cbrt (+ (/ -1/2 (hypot 1 x)) 1))) (cbrt (+ (/ -1/2 (hypot 1 x)) 1)) -1/2) 0 (+ (+ (/ -1/2 (hypot 1 x)) 1) (- 1/2)) (+ (- 1/2) 1/2) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) 0 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) 0 (+ (+ (/ -1/2 (hypot 1 x)) 1) (- 1/2)) (+ (- 1/2) 1/2) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) 0 (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) 0 (fma (+ (sqrt (/ 1/2 (hypot 1 x))) 1) (- 1 (sqrt (/ 1/2 (hypot 1 x)))) (- 1/2)) (+ (- 1/2) 1/2) (fma (+ (sqrt (/ 1/2 (hypot 1 x))) 1) (- 1 (sqrt (/ 1/2 (hypot 1 x)))) -1/2) 0 (fma (+ (sqrt (/ 1/2 (hypot 1 x))) 1) (- 1 (sqrt (/ 1/2 (hypot 1 x)))) -1/2) 0 (fma (+ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (- 1 (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2)) (+ (- 1/2) 1/2) (fma (+ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (- 1 (/ (sqrt 1/2) (sqrt (hypot 1 x)))) -1/2) 0 (fma (+ (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1) (- 1 (/ (sqrt 1/2) (sqrt (hypot 1 x)))) -1/2) 0 (fma (+ 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1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ (/ 1/2 (cbrt (hypot 1 x))) (cbrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (log1p (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (exp (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (cbrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (* (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1))) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (sqrt (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (fma (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) 1) (+ 1 (- (+ 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (+ 1/2 (/ 1/2 (hypot 1 x)))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1) (real->posit16 (+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 1)) (- (fma 1/4 (* x x) (* 5/32 (* (* (* x x) (* x x)) (* x x)))) (* 3/16 (* (* x x) (* x x)))) (+ 1/2 (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x))) (- (+ (/ 1/2 x) 1/2) (/ (/ 1/4 x) (* x x))) (fma 3/16 (* (* x x) (* x x)) (- 1/2 (* (* 1/4 x) x))) (- (+ (/ 1/2 x) (/ 3/16 (pow x 5))) (/ (/ 1/4 x) (* x x))) (- (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma 3/16 (* (* x x) (* x x)) (- 1/2 (* (* 1/4 x) x))) (- (+ (/ 1/2 x) (/ 3/16 (pow x 5))) (/ (/ 1/4 x) (* x x))) (- (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma 11/128 (* (* x x) (* x x)) (- 2 (* (* x x) 1/8))) (- (+ (/ 1/4 (* (sqrt 1/2) x)) (+ (sqrt 1/2) 1)) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2))) (- (+ (sqrt 1/2) 1) (+ (/ 1/4 (* (sqrt 1/2) x)) (/ (/ 1/32 (* x x)) (* (sqrt 1/2) 1/2)))) 4.880 * * * [progress]: adding candidates to table 7.330 * * [progress]: iteration 3 / 4 7.330 * * * [progress]: picking best candidate 7.357 * * * * [pick]: Picked # 7.357 * * * [progress]: localizing error 7.428 * * * [progress]: generating rewritten candidates 7.428 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 7.536 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.773 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 7.828 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 3 2 1) 7.833 * * * [progress]: generating series expansions 7.833 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.833 * [backup-simplify]: Simplify (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) into (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) 7.833 * [approximate]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) in (x) around 0 7.833 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) in x 7.834 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) in x 7.834 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 x) 2))) in x 7.834 * [taylor]: Taking taylor expansion of 3/4 in x 7.834 * [backup-simplify]: Simplify 3/4 into 3/4 7.834 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 7.834 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 7.834 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.834 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.834 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.834 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.834 * [taylor]: Taking taylor expansion of 1 in x 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [taylor]: Taking taylor expansion of 1 in x 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [taylor]: Taking taylor expansion of (* x x) in x 7.834 * [taylor]: Taking taylor expansion of x in x 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [taylor]: Taking taylor expansion of x in x 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [backup-simplify]: Simplify (* 1 1) into 1 7.835 * [backup-simplify]: Simplify (* 0 0) into 0 7.835 * [backup-simplify]: Simplify (+ 1 0) into 1 7.835 * [backup-simplify]: Simplify (sqrt 1) into 1 7.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.836 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.836 * [backup-simplify]: Simplify (+ 0 0) into 0 7.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.837 * [backup-simplify]: Simplify (* 1 1) into 1 7.837 * [backup-simplify]: Simplify (/ 1 1) into 1 7.837 * [taylor]: Taking taylor expansion of 7/8 in x 7.837 * [backup-simplify]: Simplify 7/8 into 7/8 7.837 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.837 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 x))) in x 7.837 * [taylor]: Taking taylor expansion of 3/2 in x 7.837 * [backup-simplify]: Simplify 3/2 into 3/2 7.837 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 7.837 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.837 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.837 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.837 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.837 * [taylor]: Taking taylor expansion of 1 in x 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [taylor]: Taking taylor expansion of 1 in x 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [taylor]: Taking taylor expansion of (* x x) in x 7.837 * [taylor]: Taking taylor expansion of x in x 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [taylor]: Taking taylor expansion of x in x 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (* 1 1) into 1 7.838 * [backup-simplify]: Simplify (* 0 0) into 0 7.838 * [backup-simplify]: Simplify (+ 1 0) into 1 7.838 * [backup-simplify]: Simplify (sqrt 1) into 1 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.839 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.839 * [backup-simplify]: Simplify (+ 0 0) into 0 7.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.840 * [taylor]: Taking taylor expansion of 1/8 in x 7.840 * [backup-simplify]: Simplify 1/8 into 1/8 7.840 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.840 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.840 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.840 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.840 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.840 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.840 * [taylor]: Taking taylor expansion of 1 in x 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [taylor]: Taking taylor expansion of 1 in x 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [taylor]: Taking taylor expansion of (* x x) in x 7.840 * [taylor]: Taking taylor expansion of x in x 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [taylor]: Taking taylor expansion of x in x 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (* 1 1) into 1 7.841 * [backup-simplify]: Simplify (* 0 0) into 0 7.841 * [backup-simplify]: Simplify (+ 1 0) into 1 7.841 * [backup-simplify]: Simplify (sqrt 1) into 1 7.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.842 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.842 * [backup-simplify]: Simplify (+ 0 0) into 0 7.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.843 * [backup-simplify]: Simplify (* 1 1) into 1 7.843 * [backup-simplify]: Simplify (* 1 1) into 1 7.844 * [backup-simplify]: Simplify (/ 1 1) into 1 7.844 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) in x 7.844 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) in x 7.844 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 x) 2))) in x 7.844 * [taylor]: Taking taylor expansion of 3/4 in x 7.844 * [backup-simplify]: Simplify 3/4 into 3/4 7.844 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 7.844 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 7.844 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.844 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.844 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.844 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.844 * [taylor]: Taking taylor expansion of 1 in x 7.844 * [backup-simplify]: Simplify 1 into 1 7.844 * [taylor]: Taking taylor expansion of 1 in x 7.844 * [backup-simplify]: Simplify 1 into 1 7.844 * [taylor]: Taking taylor expansion of (* x x) in x 7.844 * [taylor]: Taking taylor expansion of x in x 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 1 into 1 7.844 * [taylor]: Taking taylor expansion of x in x 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 1 into 1 7.844 * [backup-simplify]: Simplify (* 1 1) into 1 7.844 * [backup-simplify]: Simplify (* 0 0) into 0 7.845 * [backup-simplify]: Simplify (+ 1 0) into 1 7.845 * [backup-simplify]: Simplify (sqrt 1) into 1 7.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.846 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.846 * [backup-simplify]: Simplify (+ 0 0) into 0 7.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.847 * [backup-simplify]: Simplify (* 1 1) into 1 7.847 * [backup-simplify]: Simplify (/ 1 1) into 1 7.847 * [taylor]: Taking taylor expansion of 7/8 in x 7.847 * [backup-simplify]: Simplify 7/8 into 7/8 7.847 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.847 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 x))) in x 7.847 * [taylor]: Taking taylor expansion of 3/2 in x 7.847 * [backup-simplify]: Simplify 3/2 into 3/2 7.847 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 7.847 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.847 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.847 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.847 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.847 * [taylor]: Taking taylor expansion of 1 in x 7.847 * [backup-simplify]: Simplify 1 into 1 7.847 * [taylor]: Taking taylor expansion of 1 in x 7.847 * [backup-simplify]: Simplify 1 into 1 7.847 * [taylor]: Taking taylor expansion of (* x x) in x 7.847 * [taylor]: Taking taylor expansion of x in x 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 1 into 1 7.847 * [taylor]: Taking taylor expansion of x in x 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 1 into 1 7.847 * [backup-simplify]: Simplify (* 1 1) into 1 7.848 * [backup-simplify]: Simplify (* 0 0) into 0 7.848 * [backup-simplify]: Simplify (+ 1 0) into 1 7.848 * [backup-simplify]: Simplify (sqrt 1) into 1 7.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.849 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.849 * [backup-simplify]: Simplify (+ 0 0) into 0 7.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.850 * [backup-simplify]: Simplify (/ 1 1) into 1 7.850 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.850 * [taylor]: Taking taylor expansion of 1/8 in x 7.850 * [backup-simplify]: Simplify 1/8 into 1/8 7.850 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.850 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.850 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.850 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.850 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.850 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.850 * [taylor]: Taking taylor expansion of 1 in x 7.850 * [backup-simplify]: Simplify 1 into 1 7.850 * [taylor]: Taking taylor expansion of 1 in x 7.850 * [backup-simplify]: Simplify 1 into 1 7.850 * [taylor]: Taking taylor expansion of (* x x) in x 7.850 * [taylor]: Taking taylor expansion of x in x 7.850 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify 1 into 1 7.850 * [taylor]: Taking taylor expansion of x in x 7.850 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify 1 into 1 7.850 * [backup-simplify]: Simplify (* 1 1) into 1 7.851 * [backup-simplify]: Simplify (* 0 0) into 0 7.851 * [backup-simplify]: Simplify (+ 1 0) into 1 7.851 * [backup-simplify]: Simplify (sqrt 1) into 1 7.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.852 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.852 * [backup-simplify]: Simplify (+ 0 0) into 0 7.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.853 * [backup-simplify]: Simplify (* 1 1) into 1 7.853 * [backup-simplify]: Simplify (* 1 1) into 1 7.853 * [backup-simplify]: Simplify (/ 1 1) into 1 7.854 * [backup-simplify]: Simplify (* 3/4 1) into 3/4 7.854 * [backup-simplify]: Simplify (+ 3/4 7/8) into 13/8 7.854 * [backup-simplify]: Simplify (* 3/2 1) into 3/2 7.854 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.855 * [backup-simplify]: Simplify (+ 3/2 1/8) into 13/8 7.855 * [backup-simplify]: Simplify (- 13/8) into -13/8 7.855 * [backup-simplify]: Simplify (+ 13/8 -13/8) into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (+ (* 3/4 0) (* 0 1)) into 0 7.857 * [backup-simplify]: Simplify (+ 0 0) into 0 7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.859 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.859 * [backup-simplify]: Simplify (+ 0 0) into 0 7.860 * [backup-simplify]: Simplify (- 0) into 0 7.860 * [backup-simplify]: Simplify (+ 0 0) into 0 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.861 * [backup-simplify]: Simplify (+ 0 1) into 1 7.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.863 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 7.865 * [backup-simplify]: Simplify (+ (* 3/4 -1) (+ (* 0 0) (* 0 1))) into -3/4 7.865 * [backup-simplify]: Simplify (+ -3/4 0) into -3/4 7.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.867 * [backup-simplify]: Simplify (+ 0 1) into 1 7.868 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 7.870 * [backup-simplify]: Simplify (+ (* 3/2 -1/2) (+ (* 0 0) (* 0 1))) into -3/4 7.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.872 * [backup-simplify]: Simplify (+ 0 1) into 1 7.873 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.874 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.875 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.878 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.878 * [backup-simplify]: Simplify (+ -3/4 -3/16) into -15/16 7.879 * [backup-simplify]: Simplify (- -15/16) into 15/16 7.879 * [backup-simplify]: Simplify (+ -3/4 15/16) into 3/16 7.879 * [backup-simplify]: Simplify 3/16 into 3/16 7.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.882 * [backup-simplify]: Simplify (+ 0 0) into 0 7.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -1 (/ 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ 0 0) into 0 7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.886 * [backup-simplify]: Simplify (+ 0 0) into 0 7.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.890 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ 0 0) into 0 7.895 * [backup-simplify]: Simplify (- 0) into 0 7.895 * [backup-simplify]: Simplify (+ 0 0) into 0 7.895 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.897 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.898 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 1 1)) (* 0 (/ 0 1)))) into 1 7.900 * [backup-simplify]: Simplify (+ (* 3/4 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 3/4 7.900 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.902 * [backup-simplify]: Simplify (+ 0 0) into 0 7.902 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 7.904 * [backup-simplify]: Simplify (+ (* 3/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 9/16 7.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.910 * [backup-simplify]: Simplify (+ 0 0) into 0 7.911 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.912 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 7.915 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 7.915 * [backup-simplify]: Simplify (+ 9/16 15/64) into 51/64 7.915 * [backup-simplify]: Simplify (- 51/64) into -51/64 7.916 * [backup-simplify]: Simplify (+ 3/4 -51/64) into -3/64 7.916 * [backup-simplify]: Simplify -3/64 into -3/64 7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.918 * [backup-simplify]: Simplify (+ 0 0) into 0 7.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 1 1)) (* 1 (/ 0 1)))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.924 * [backup-simplify]: Simplify (+ 0 0) into 0 7.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.930 * [backup-simplify]: Simplify (+ 0 0) into 0 7.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 7.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 7.936 * [backup-simplify]: Simplify (+ 0 0) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify (+ 0 0) into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.938 * [backup-simplify]: Simplify (+ 0 0) into 0 7.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.941 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 7.943 * [backup-simplify]: Simplify (+ (* 3/4 -1) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into -3/4 7.943 * [backup-simplify]: Simplify (+ -3/4 0) into -3/4 7.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.945 * [backup-simplify]: Simplify (+ 0 0) into 0 7.946 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.947 * [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 7.949 * [backup-simplify]: Simplify (+ (* 3/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -15/32 7.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.951 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.953 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 7.957 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 7.957 * [backup-simplify]: Simplify (+ -15/32 -35/128) into -95/128 7.957 * [backup-simplify]: Simplify (- -95/128) into 95/128 7.958 * [backup-simplify]: Simplify (+ -3/4 95/128) into -1/128 7.958 * [backup-simplify]: Simplify -1/128 into -1/128 7.958 * [backup-simplify]: Simplify (+ (* -1/128 (pow x 6)) (+ (* -3/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (* 3/16 (pow x 2)) (+ (* 3/64 (pow x 4)) (* 1/128 (pow x 6)))) 7.958 * [backup-simplify]: Simplify (- (* (* (+ (/ -1/2 (hypot 1 (/ 1 x))) 1) (+ (/ -1/2 (hypot 1 (/ 1 x))) 1)) (+ (/ -1/2 (hypot 1 (/ 1 x))) 1)) 1/8) into (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) 7.958 * [approximate]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in (x) around 0 7.958 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 7.958 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) in x 7.958 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 7.958 * [taylor]: Taking taylor expansion of 3/4 in x 7.958 * [backup-simplify]: Simplify 3/4 into 3/4 7.958 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 7.958 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 7.958 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.959 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.959 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.959 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.959 * [taylor]: Taking taylor expansion of 1 in x 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [taylor]: Taking taylor expansion of 1 in x 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.959 * [taylor]: Taking taylor expansion of x in x 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.959 * [taylor]: Taking taylor expansion of x in x 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.959 * [backup-simplify]: Simplify (* 1 1) into 1 7.960 * [backup-simplify]: Simplify (+ 0 1) into 1 7.960 * [backup-simplify]: Simplify (sqrt 1) into 1 7.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.962 * [backup-simplify]: Simplify (+ 0 0) into 0 7.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.962 * [backup-simplify]: Simplify (* 1 1) into 1 7.962 * [backup-simplify]: Simplify (/ 1 1) into 1 7.962 * [taylor]: Taking taylor expansion of 7/8 in x 7.962 * [backup-simplify]: Simplify 7/8 into 7/8 7.962 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.962 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) in x 7.962 * [taylor]: Taking taylor expansion of 3/2 in x 7.963 * [backup-simplify]: Simplify 3/2 into 3/2 7.963 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.963 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.963 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.963 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.963 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.963 * [taylor]: Taking taylor expansion of 1 in x 7.963 * [backup-simplify]: Simplify 1 into 1 7.963 * [taylor]: Taking taylor expansion of 1 in x 7.963 * [backup-simplify]: Simplify 1 into 1 7.963 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.963 * [taylor]: Taking taylor expansion of x in x 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 1 into 1 7.963 * [backup-simplify]: Simplify (/ 1 1) into 1 7.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.963 * [taylor]: Taking taylor expansion of x in x 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 1 into 1 7.963 * [backup-simplify]: Simplify (/ 1 1) into 1 7.964 * [backup-simplify]: Simplify (* 1 1) into 1 7.964 * [backup-simplify]: Simplify (+ 0 1) into 1 7.964 * [backup-simplify]: Simplify (sqrt 1) into 1 7.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.965 * [backup-simplify]: Simplify (+ 0 0) into 0 7.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.966 * [backup-simplify]: Simplify (/ 1 1) into 1 7.966 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.966 * [taylor]: Taking taylor expansion of 1/8 in x 7.966 * [backup-simplify]: Simplify 1/8 into 1/8 7.966 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.966 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.966 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.966 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.966 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.966 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.966 * [taylor]: Taking taylor expansion of 1 in x 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [taylor]: Taking taylor expansion of 1 in x 7.966 * [backup-simplify]: Simplify 1 into 1 7.966 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.966 * [taylor]: Taking taylor expansion of x in x 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.967 * [taylor]: Taking taylor expansion of x in x 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [backup-simplify]: Simplify (* 1 1) into 1 7.967 * [backup-simplify]: Simplify (+ 0 1) into 1 7.968 * [backup-simplify]: Simplify (sqrt 1) into 1 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.969 * [backup-simplify]: Simplify (+ 0 0) into 0 7.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.970 * [backup-simplify]: Simplify (* 1 1) into 1 7.970 * [backup-simplify]: Simplify (* 1 1) into 1 7.970 * [backup-simplify]: Simplify (/ 1 1) into 1 7.970 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 7.970 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) in x 7.970 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 7.970 * [taylor]: Taking taylor expansion of 3/4 in x 7.970 * [backup-simplify]: Simplify 3/4 into 3/4 7.970 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 7.970 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 7.970 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.971 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.971 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.971 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.971 * [taylor]: Taking taylor expansion of 1 in x 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [taylor]: Taking taylor expansion of 1 in x 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.971 * [taylor]: Taking taylor expansion of x in x 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (/ 1 1) into 1 7.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.971 * [taylor]: Taking taylor expansion of x in x 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (/ 1 1) into 1 7.971 * [backup-simplify]: Simplify (* 1 1) into 1 7.972 * [backup-simplify]: Simplify (+ 0 1) into 1 7.972 * [backup-simplify]: Simplify (sqrt 1) into 1 7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.973 * [backup-simplify]: Simplify (+ 0 0) into 0 7.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.974 * [backup-simplify]: Simplify (* 1 1) into 1 7.974 * [backup-simplify]: Simplify (/ 1 1) into 1 7.974 * [taylor]: Taking taylor expansion of 7/8 in x 7.974 * [backup-simplify]: Simplify 7/8 into 7/8 7.974 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.974 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) in x 7.974 * [taylor]: Taking taylor expansion of 3/2 in x 7.974 * [backup-simplify]: Simplify 3/2 into 3/2 7.975 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.975 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.975 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.975 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.975 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.975 * [taylor]: Taking taylor expansion of 1 in x 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [taylor]: Taking taylor expansion of 1 in x 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.975 * [taylor]: Taking taylor expansion of x in x 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.975 * [taylor]: Taking taylor expansion of x in x 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [backup-simplify]: Simplify (* 1 1) into 1 7.976 * [backup-simplify]: Simplify (+ 0 1) into 1 7.976 * [backup-simplify]: Simplify (sqrt 1) into 1 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.978 * [backup-simplify]: Simplify (+ 0 0) into 0 7.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.978 * [backup-simplify]: Simplify (/ 1 1) into 1 7.978 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.978 * [taylor]: Taking taylor expansion of 1/8 in x 7.978 * [backup-simplify]: Simplify 1/8 into 1/8 7.978 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.978 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.978 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.978 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.979 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.979 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.979 * [taylor]: Taking taylor expansion of 1 in x 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [taylor]: Taking taylor expansion of 1 in x 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.979 * [taylor]: Taking taylor expansion of x in x 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (/ 1 1) into 1 7.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.979 * [taylor]: Taking taylor expansion of x in x 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (/ 1 1) into 1 7.979 * [backup-simplify]: Simplify (* 1 1) into 1 7.980 * [backup-simplify]: Simplify (+ 0 1) into 1 7.980 * [backup-simplify]: Simplify (sqrt 1) into 1 7.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.981 * [backup-simplify]: Simplify (+ 0 0) into 0 7.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.982 * [backup-simplify]: Simplify (* 1 1) into 1 7.982 * [backup-simplify]: Simplify (* 1 1) into 1 7.983 * [backup-simplify]: Simplify (/ 1 1) into 1 7.983 * [backup-simplify]: Simplify (+ 0 7/8) into 7/8 7.983 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 7.983 * [backup-simplify]: Simplify 7/8 into 7/8 7.983 * [backup-simplify]: Simplify (+ 0 0) into 0 7.984 * [backup-simplify]: Simplify (* 3/2 1) into 3/2 7.984 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 7.984 * [backup-simplify]: Simplify (- 3/2) into -3/2 7.984 * [backup-simplify]: Simplify (+ 0 -3/2) into -3/2 7.984 * [backup-simplify]: Simplify -3/2 into -3/2 7.985 * [backup-simplify]: Simplify (* 3/4 1) into 3/4 7.985 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0 7.986 * [backup-simplify]: Simplify (+ 0 0) into 0 7.986 * [backup-simplify]: Simplify (- 0) into 0 7.987 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 7.987 * [backup-simplify]: Simplify 3/4 into 3/4 7.987 * [backup-simplify]: Simplify (+ (* 3/4 (pow (/ 1 x) 2)) (+ (* -3/2 (/ 1 x)) 7/8)) into (- (+ (* 3/4 (/ 1 (pow x 2))) 7/8) (* 3/2 (/ 1 x))) 7.987 * [backup-simplify]: Simplify (- (* (* (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1) (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1)) (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1)) 1/8) into (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) 7.987 * [approximate]: Taking taylor expansion of (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) in (x) around 0 7.987 * [taylor]: Taking taylor expansion of (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 7.987 * [taylor]: Taking taylor expansion of (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 7.987 * [taylor]: Taking taylor expansion of 7/8 in x 7.987 * [backup-simplify]: Simplify 7/8 into 7/8 7.987 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 7.987 * [taylor]: Taking taylor expansion of 3/4 in x 7.987 * [backup-simplify]: Simplify 3/4 into 3/4 7.987 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 7.987 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 7.987 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.987 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.987 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.987 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.988 * [taylor]: Taking taylor expansion of 1 in x 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [taylor]: Taking taylor expansion of 1 in x 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.988 * [taylor]: Taking taylor expansion of -1 in x 7.988 * [backup-simplify]: Simplify -1 into -1 7.988 * [taylor]: Taking taylor expansion of x in x 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [backup-simplify]: Simplify (/ -1 1) into -1 7.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.988 * [taylor]: Taking taylor expansion of -1 in x 7.988 * [backup-simplify]: Simplify -1 into -1 7.988 * [taylor]: Taking taylor expansion of x in x 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [backup-simplify]: Simplify (/ -1 1) into -1 7.989 * [backup-simplify]: Simplify (* -1 -1) into 1 7.989 * [backup-simplify]: Simplify (+ 0 1) into 1 7.989 * [backup-simplify]: Simplify (sqrt 1) into 1 7.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.992 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.993 * [backup-simplify]: Simplify (* 1 1) into 1 7.994 * [backup-simplify]: Simplify (/ 1 1) into 1 7.994 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x))))) in x 7.994 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.994 * [taylor]: Taking taylor expansion of 1/8 in x 7.994 * [backup-simplify]: Simplify 1/8 into 1/8 7.994 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.994 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.994 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.994 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.994 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.994 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.994 * [taylor]: Taking taylor expansion of 1 in x 7.994 * [backup-simplify]: Simplify 1 into 1 7.994 * [taylor]: Taking taylor expansion of 1 in x 7.994 * [backup-simplify]: Simplify 1 into 1 7.994 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.994 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.994 * [taylor]: Taking taylor expansion of -1 in x 7.994 * [backup-simplify]: Simplify -1 into -1 7.995 * [taylor]: Taking taylor expansion of x in x 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 1 into 1 7.995 * [backup-simplify]: Simplify (/ -1 1) into -1 7.995 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.995 * [taylor]: Taking taylor expansion of -1 in x 7.995 * [backup-simplify]: Simplify -1 into -1 7.995 * [taylor]: Taking taylor expansion of x in x 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 1 into 1 7.996 * [backup-simplify]: Simplify (/ -1 1) into -1 8.002 * [backup-simplify]: Simplify (* -1 -1) into 1 8.003 * [backup-simplify]: Simplify (+ 0 1) into 1 8.003 * [backup-simplify]: Simplify (sqrt 1) into 1 8.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.006 * [backup-simplify]: Simplify (+ 0 0) into 0 8.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.007 * [backup-simplify]: Simplify (* 1 1) into 1 8.007 * [backup-simplify]: Simplify (* 1 1) into 1 8.008 * [backup-simplify]: Simplify (/ 1 1) into 1 8.008 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.008 * [taylor]: Taking taylor expansion of 3/2 in x 8.008 * [backup-simplify]: Simplify 3/2 into 3/2 8.008 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.008 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.008 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.008 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.008 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.008 * [taylor]: Taking taylor expansion of 1 in x 8.008 * [backup-simplify]: Simplify 1 into 1 8.008 * [taylor]: Taking taylor expansion of 1 in x 8.008 * [backup-simplify]: Simplify 1 into 1 8.008 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.008 * [taylor]: Taking taylor expansion of -1 in x 8.008 * [backup-simplify]: Simplify -1 into -1 8.008 * [taylor]: Taking taylor expansion of x in x 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 1 into 1 8.009 * [backup-simplify]: Simplify (/ -1 1) into -1 8.009 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.009 * [taylor]: Taking taylor expansion of -1 in x 8.009 * [backup-simplify]: Simplify -1 into -1 8.009 * [taylor]: Taking taylor expansion of x in x 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify 1 into 1 8.009 * [backup-simplify]: Simplify (/ -1 1) into -1 8.010 * [backup-simplify]: Simplify (* -1 -1) into 1 8.010 * [backup-simplify]: Simplify (+ 0 1) into 1 8.011 * [backup-simplify]: Simplify (sqrt 1) into 1 8.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.013 * [backup-simplify]: Simplify (+ 0 0) into 0 8.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.015 * [backup-simplify]: Simplify (/ 1 1) into 1 8.015 * [taylor]: Taking taylor expansion of (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 8.015 * [taylor]: Taking taylor expansion of (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 8.015 * [taylor]: Taking taylor expansion of 7/8 in x 8.015 * [backup-simplify]: Simplify 7/8 into 7/8 8.015 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 8.015 * [taylor]: Taking taylor expansion of 3/4 in x 8.015 * [backup-simplify]: Simplify 3/4 into 3/4 8.015 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 8.015 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 8.015 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.015 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.015 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.015 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.015 * [taylor]: Taking taylor expansion of 1 in x 8.015 * [backup-simplify]: Simplify 1 into 1 8.015 * [taylor]: Taking taylor expansion of 1 in x 8.015 * [backup-simplify]: Simplify 1 into 1 8.015 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.015 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.015 * [taylor]: Taking taylor expansion of -1 in x 8.015 * [backup-simplify]: Simplify -1 into -1 8.015 * [taylor]: Taking taylor expansion of x in x 8.015 * [backup-simplify]: Simplify 0 into 0 8.015 * [backup-simplify]: Simplify 1 into 1 8.016 * [backup-simplify]: Simplify (/ -1 1) into -1 8.016 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.016 * [taylor]: Taking taylor expansion of -1 in x 8.016 * [backup-simplify]: Simplify -1 into -1 8.016 * [taylor]: Taking taylor expansion of x in x 8.016 * [backup-simplify]: Simplify 0 into 0 8.016 * [backup-simplify]: Simplify 1 into 1 8.016 * [backup-simplify]: Simplify (/ -1 1) into -1 8.017 * [backup-simplify]: Simplify (* -1 -1) into 1 8.017 * [backup-simplify]: Simplify (+ 0 1) into 1 8.018 * [backup-simplify]: Simplify (sqrt 1) into 1 8.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.020 * [backup-simplify]: Simplify (+ 0 0) into 0 8.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.022 * [backup-simplify]: Simplify (* 1 1) into 1 8.022 * [backup-simplify]: Simplify (/ 1 1) into 1 8.022 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.022 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 8.022 * [taylor]: Taking taylor expansion of 1/8 in x 8.022 * [backup-simplify]: Simplify 1/8 into 1/8 8.022 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 8.022 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 8.022 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.022 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.022 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.022 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.022 * [taylor]: Taking taylor expansion of 1 in x 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [taylor]: Taking taylor expansion of 1 in x 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.023 * [taylor]: Taking taylor expansion of -1 in x 8.023 * [backup-simplify]: Simplify -1 into -1 8.023 * [taylor]: Taking taylor expansion of x in x 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [backup-simplify]: Simplify (/ -1 1) into -1 8.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.023 * [taylor]: Taking taylor expansion of -1 in x 8.023 * [backup-simplify]: Simplify -1 into -1 8.023 * [taylor]: Taking taylor expansion of x in x 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.024 * [backup-simplify]: Simplify (/ -1 1) into -1 8.024 * [backup-simplify]: Simplify (* -1 -1) into 1 8.025 * [backup-simplify]: Simplify (+ 0 1) into 1 8.025 * [backup-simplify]: Simplify (sqrt 1) into 1 8.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.028 * [backup-simplify]: Simplify (+ 0 0) into 0 8.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.029 * [backup-simplify]: Simplify (* 1 1) into 1 8.030 * [backup-simplify]: Simplify (* 1 1) into 1 8.030 * [backup-simplify]: Simplify (/ 1 1) into 1 8.030 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.030 * [taylor]: Taking taylor expansion of 3/2 in x 8.030 * [backup-simplify]: Simplify 3/2 into 3/2 8.030 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.030 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.030 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.030 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.030 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.030 * [taylor]: Taking taylor expansion of 1 in x 8.030 * [backup-simplify]: Simplify 1 into 1 8.030 * [taylor]: Taking taylor expansion of 1 in x 8.030 * [backup-simplify]: Simplify 1 into 1 8.030 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.030 * [taylor]: Taking taylor expansion of -1 in x 8.030 * [backup-simplify]: Simplify -1 into -1 8.031 * [taylor]: Taking taylor expansion of x in x 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.031 * [backup-simplify]: Simplify (/ -1 1) into -1 8.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.031 * [taylor]: Taking taylor expansion of -1 in x 8.031 * [backup-simplify]: Simplify -1 into -1 8.031 * [taylor]: Taking taylor expansion of x in x 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (/ -1 1) into -1 8.032 * [backup-simplify]: Simplify (* -1 -1) into 1 8.032 * [backup-simplify]: Simplify (+ 0 1) into 1 8.033 * [backup-simplify]: Simplify (sqrt 1) into 1 8.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.036 * [backup-simplify]: Simplify (+ 0 0) into 0 8.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.037 * [backup-simplify]: Simplify (/ 1 1) into 1 8.037 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.038 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.038 * [backup-simplify]: Simplify 7/8 into 7/8 8.038 * [backup-simplify]: Simplify (+ 0 0) into 0 8.039 * [backup-simplify]: Simplify (* 3/2 1) into 3/2 8.039 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 8.039 * [backup-simplify]: Simplify (- 3/2) into -3/2 8.040 * [backup-simplify]: Simplify (+ 0 -3/2) into -3/2 8.040 * [backup-simplify]: Simplify -3/2 into -3/2 8.040 * [backup-simplify]: Simplify (* 3/4 1) into 3/4 8.041 * [backup-simplify]: Simplify (+ 0 3/4) into 3/4 8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.042 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0 8.043 * [backup-simplify]: Simplify (+ 0 0) into 0 8.043 * [backup-simplify]: Simplify (- 0) into 0 8.043 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 8.043 * [backup-simplify]: Simplify 3/4 into 3/4 8.044 * [backup-simplify]: Simplify (+ (* 3/4 (pow (/ 1 (- x)) 2)) (+ (* -3/2 (/ 1 (- x))) 7/8)) into (+ (* 3/4 (/ 1 (pow x 2))) (+ (* 3/2 (/ 1 x)) 7/8)) 8.044 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.045 * [backup-simplify]: Simplify (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4))) into (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) 8.045 * [approximate]: Taking taylor expansion of (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) in (x) around 0 8.045 * [taylor]: Taking taylor expansion of (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) in x 8.045 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) in x 8.045 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) in x 8.045 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 x) 2))) in x 8.045 * [taylor]: Taking taylor expansion of 3/4 in x 8.045 * [backup-simplify]: Simplify 3/4 into 3/4 8.045 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 8.045 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 8.045 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.045 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.045 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.045 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.046 * [taylor]: Taking taylor expansion of 1 in x 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [taylor]: Taking taylor expansion of 1 in x 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [taylor]: Taking taylor expansion of (* x x) in x 8.046 * [taylor]: Taking taylor expansion of x in x 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [taylor]: Taking taylor expansion of x in x 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (* 1 1) into 1 8.047 * [backup-simplify]: Simplify (* 0 0) into 0 8.047 * [backup-simplify]: Simplify (+ 1 0) into 1 8.048 * [backup-simplify]: Simplify (sqrt 1) into 1 8.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.049 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.049 * [backup-simplify]: Simplify (+ 0 0) into 0 8.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.051 * [backup-simplify]: Simplify (* 1 1) into 1 8.051 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [taylor]: Taking taylor expansion of 7/8 in x 8.051 * [backup-simplify]: Simplify 7/8 into 7/8 8.051 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 8.051 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 x))) in x 8.051 * [taylor]: Taking taylor expansion of 3/2 in x 8.051 * [backup-simplify]: Simplify 3/2 into 3/2 8.051 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.051 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.051 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.051 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.051 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.051 * [taylor]: Taking taylor expansion of 1 in x 8.051 * [backup-simplify]: Simplify 1 into 1 8.051 * [taylor]: Taking taylor expansion of 1 in x 8.051 * [backup-simplify]: Simplify 1 into 1 8.051 * [taylor]: Taking taylor expansion of (* x x) in x 8.051 * [taylor]: Taking taylor expansion of x in x 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.052 * [taylor]: Taking taylor expansion of x in x 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.052 * [backup-simplify]: Simplify (* 1 1) into 1 8.052 * [backup-simplify]: Simplify (* 0 0) into 0 8.053 * [backup-simplify]: Simplify (+ 1 0) into 1 8.053 * [backup-simplify]: Simplify (sqrt 1) into 1 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.054 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.055 * [backup-simplify]: Simplify (+ 0 0) into 0 8.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.056 * [backup-simplify]: Simplify (/ 1 1) into 1 8.056 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 8.056 * [taylor]: Taking taylor expansion of 1/8 in x 8.056 * [backup-simplify]: Simplify 1/8 into 1/8 8.056 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 8.056 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 8.056 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.056 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.056 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.056 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.056 * [taylor]: Taking taylor expansion of 1 in x 8.056 * [backup-simplify]: Simplify 1 into 1 8.056 * [taylor]: Taking taylor expansion of 1 in x 8.056 * [backup-simplify]: Simplify 1 into 1 8.056 * [taylor]: Taking taylor expansion of (* x x) in x 8.056 * [taylor]: Taking taylor expansion of x in x 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify 1 into 1 8.057 * [taylor]: Taking taylor expansion of x in x 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify 1 into 1 8.057 * [backup-simplify]: Simplify (* 1 1) into 1 8.057 * [backup-simplify]: Simplify (* 0 0) into 0 8.058 * [backup-simplify]: Simplify (+ 1 0) into 1 8.058 * [backup-simplify]: Simplify (sqrt 1) into 1 8.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.061 * [backup-simplify]: Simplify (+ 0 0) into 0 8.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.062 * [backup-simplify]: Simplify (* 1 1) into 1 8.063 * [backup-simplify]: Simplify (* 1 1) into 1 8.063 * [backup-simplify]: Simplify (/ 1 1) into 1 8.063 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) in x 8.063 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) 8.063 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 8.063 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.063 * [taylor]: Taking taylor expansion of 1 in x 8.063 * [backup-simplify]: Simplify 1 into 1 8.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.063 * [taylor]: Taking taylor expansion of 1/2 in x 8.063 * [backup-simplify]: Simplify 1/2 into 1/2 8.063 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.063 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.063 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.063 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.063 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.064 * [taylor]: Taking taylor expansion of 1 in x 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [taylor]: Taking taylor expansion of 1 in x 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [taylor]: Taking taylor expansion of (* x x) in x 8.064 * [taylor]: Taking taylor expansion of x in x 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [taylor]: Taking taylor expansion of x in x 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 1 into 1 8.064 * [backup-simplify]: Simplify (* 1 1) into 1 8.064 * [backup-simplify]: Simplify (* 0 0) into 0 8.065 * [backup-simplify]: Simplify (+ 1 0) into 1 8.065 * [backup-simplify]: Simplify (sqrt 1) into 1 8.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.067 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.067 * [backup-simplify]: Simplify (+ 0 0) into 0 8.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.068 * [backup-simplify]: Simplify (/ 1 1) into 1 8.068 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.068 * [taylor]: Taking taylor expansion of 1 in x 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.068 * [taylor]: Taking taylor expansion of 1/2 in x 8.068 * [backup-simplify]: Simplify 1/2 into 1/2 8.068 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.068 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.068 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.068 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.069 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.069 * [taylor]: Taking taylor expansion of 1 in x 8.069 * [backup-simplify]: Simplify 1 into 1 8.069 * [taylor]: Taking taylor expansion of 1 in x 8.069 * [backup-simplify]: Simplify 1 into 1 8.069 * [taylor]: Taking taylor expansion of (* x x) in x 8.069 * [taylor]: Taking taylor expansion of x in x 8.069 * [backup-simplify]: Simplify 0 into 0 8.069 * [backup-simplify]: Simplify 1 into 1 8.069 * [taylor]: Taking taylor expansion of x in x 8.069 * [backup-simplify]: Simplify 0 into 0 8.069 * [backup-simplify]: Simplify 1 into 1 8.069 * [backup-simplify]: Simplify (* 1 1) into 1 8.069 * [backup-simplify]: Simplify (* 0 0) into 0 8.070 * [backup-simplify]: Simplify (+ 1 0) into 1 8.070 * [backup-simplify]: Simplify (sqrt 1) into 1 8.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.071 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.071 * [backup-simplify]: Simplify (+ 0 0) into 0 8.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.072 * [backup-simplify]: Simplify (/ 1 1) into 1 8.072 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4) in x 8.072 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) 1/4) 8.072 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 8.072 * [taylor]: Taking taylor expansion of 1/2 in x 8.072 * [backup-simplify]: Simplify 1/2 into 1/2 8.072 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.072 * [taylor]: Taking taylor expansion of 1 in x 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.072 * [taylor]: Taking taylor expansion of 1/2 in x 8.072 * [backup-simplify]: Simplify 1/2 into 1/2 8.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.072 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.072 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.072 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.072 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.072 * [taylor]: Taking taylor expansion of 1 in x 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [taylor]: Taking taylor expansion of 1 in x 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [taylor]: Taking taylor expansion of (* x x) in x 8.072 * [taylor]: Taking taylor expansion of x in x 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [taylor]: Taking taylor expansion of x in x 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify (* 1 1) into 1 8.073 * [backup-simplify]: Simplify (* 0 0) into 0 8.073 * [backup-simplify]: Simplify (+ 1 0) into 1 8.073 * [backup-simplify]: Simplify (sqrt 1) into 1 8.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.074 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.074 * [backup-simplify]: Simplify (+ 0 0) into 0 8.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.075 * [backup-simplify]: Simplify (/ 1 1) into 1 8.075 * [taylor]: Taking taylor expansion of 1/4 in x 8.075 * [backup-simplify]: Simplify 1/4 into 1/4 8.075 * [backup-simplify]: Simplify (* 3/4 1) into 3/4 8.075 * [backup-simplify]: Simplify (+ 3/4 7/8) into 13/8 8.076 * [backup-simplify]: Simplify (* 3/2 1) into 3/2 8.076 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 8.076 * [backup-simplify]: Simplify (+ 3/2 1/8) into 13/8 8.076 * [backup-simplify]: Simplify (- 13/8) into -13/8 8.077 * [backup-simplify]: Simplify (+ 13/8 -13/8) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 3/4 0) (* 0 1)) into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.079 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0 8.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.081 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 8.081 * [backup-simplify]: Simplify (+ 0 0) into 0 8.081 * [backup-simplify]: Simplify (- 0) into 0 8.081 * [backup-simplify]: Simplify (+ 0 0) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.082 * [backup-simplify]: Simplify (+ 0 1) into 1 8.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.084 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 8.085 * [backup-simplify]: Simplify (+ (* 3/4 -1) (+ (* 0 0) (* 0 1))) into -3/4 8.085 * [backup-simplify]: Simplify (+ -3/4 0) into -3/4 8.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.086 * [backup-simplify]: Simplify (+ 0 1) into 1 8.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.088 * [backup-simplify]: Simplify (+ (* 3/2 -1/2) (+ (* 0 0) (* 0 1))) into -3/4 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.090 * [backup-simplify]: Simplify (+ 0 1) into 1 8.090 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.091 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 8.091 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 8.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 8.093 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 8.093 * [backup-simplify]: Simplify (+ -3/4 -3/16) into -15/16 8.093 * [backup-simplify]: Simplify (- -15/16) into 15/16 8.093 * [backup-simplify]: Simplify (+ -3/4 15/16) into 3/16 8.094 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.094 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.094 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.094 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.095 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.095 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.095 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.095 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.096 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.096 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.096 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.096 * [backup-simplify]: Simplify (+ 1/4 1/4) into 1/2 8.097 * [backup-simplify]: Simplify (+ 1/4 1/2) into 3/4 8.097 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 8.097 * [taylor]: Taking taylor expansion of (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) in x 8.097 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3))))) in x 8.097 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 x) 2))) 7/8) in x 8.097 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 x) 2))) in x 8.097 * [taylor]: Taking taylor expansion of 3/4 in x 8.097 * [backup-simplify]: Simplify 3/4 into 3/4 8.097 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 2)) in x 8.097 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 8.097 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.097 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.097 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.097 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.097 * [taylor]: Taking taylor expansion of 1 in x 8.097 * [backup-simplify]: Simplify 1 into 1 8.097 * [taylor]: Taking taylor expansion of 1 in x 8.097 * [backup-simplify]: Simplify 1 into 1 8.097 * [taylor]: Taking taylor expansion of (* x x) in x 8.097 * [taylor]: Taking taylor expansion of x in x 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 1 into 1 8.097 * [taylor]: Taking taylor expansion of x in x 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 1 into 1 8.097 * [backup-simplify]: Simplify (* 1 1) into 1 8.098 * [backup-simplify]: Simplify (* 0 0) into 0 8.098 * [backup-simplify]: Simplify (+ 1 0) into 1 8.099 * [backup-simplify]: Simplify (sqrt 1) into 1 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.100 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.100 * [backup-simplify]: Simplify (+ 0 0) into 0 8.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.101 * [backup-simplify]: Simplify (* 1 1) into 1 8.101 * [backup-simplify]: Simplify (/ 1 1) into 1 8.101 * [taylor]: Taking taylor expansion of 7/8 in x 8.101 * [backup-simplify]: Simplify 7/8 into 7/8 8.101 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 x))) (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 8.101 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 x))) in x 8.102 * [taylor]: Taking taylor expansion of 3/2 in x 8.102 * [backup-simplify]: Simplify 3/2 into 3/2 8.102 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.102 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.102 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.102 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.102 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.102 * [taylor]: Taking taylor expansion of 1 in x 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of 1 in x 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of (* x x) in x 8.102 * [taylor]: Taking taylor expansion of x in x 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of x in x 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [backup-simplify]: Simplify (* 1 1) into 1 8.103 * [backup-simplify]: Simplify (* 0 0) into 0 8.103 * [backup-simplify]: Simplify (+ 1 0) into 1 8.103 * [backup-simplify]: Simplify (sqrt 1) into 1 8.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.104 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.105 * [backup-simplify]: Simplify (+ 0 0) into 0 8.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.106 * [backup-simplify]: Simplify (/ 1 1) into 1 8.106 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 8.106 * [taylor]: Taking taylor expansion of 1/8 in x 8.106 * [backup-simplify]: Simplify 1/8 into 1/8 8.106 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 8.106 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 8.106 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.106 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.106 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.106 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.106 * [taylor]: Taking taylor expansion of 1 in x 8.106 * [backup-simplify]: Simplify 1 into 1 8.106 * [taylor]: Taking taylor expansion of 1 in x 8.106 * [backup-simplify]: Simplify 1 into 1 8.106 * [taylor]: Taking taylor expansion of (* x x) in x 8.106 * [taylor]: Taking taylor expansion of x in x 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify 1 into 1 8.106 * [taylor]: Taking taylor expansion of x in x 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify 1 into 1 8.107 * [backup-simplify]: Simplify (* 1 1) into 1 8.107 * [backup-simplify]: Simplify (* 0 0) into 0 8.107 * [backup-simplify]: Simplify (+ 1 0) into 1 8.108 * [backup-simplify]: Simplify (sqrt 1) into 1 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.109 * [backup-simplify]: Simplify (+ 0 0) into 0 8.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.110 * [backup-simplify]: Simplify (* 1 1) into 1 8.111 * [backup-simplify]: Simplify (* 1 1) into 1 8.111 * [backup-simplify]: Simplify (/ 1 1) into 1 8.111 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) in x 8.111 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) 8.111 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 8.111 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.111 * [taylor]: Taking taylor expansion of 1 in x 8.111 * [backup-simplify]: Simplify 1 into 1 8.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.111 * [taylor]: Taking taylor expansion of 1/2 in x 8.111 * [backup-simplify]: Simplify 1/2 into 1/2 8.111 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.111 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.111 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.111 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.111 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.111 * [taylor]: Taking taylor expansion of 1 in x 8.111 * [backup-simplify]: Simplify 1 into 1 8.111 * [taylor]: Taking taylor expansion of 1 in x 8.111 * [backup-simplify]: Simplify 1 into 1 8.111 * [taylor]: Taking taylor expansion of (* x x) in x 8.111 * [taylor]: Taking taylor expansion of x in x 8.111 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify 1 into 1 8.112 * [taylor]: Taking taylor expansion of x in x 8.112 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify 1 into 1 8.112 * [backup-simplify]: Simplify (* 1 1) into 1 8.112 * [backup-simplify]: Simplify (* 0 0) into 0 8.113 * [backup-simplify]: Simplify (+ 1 0) into 1 8.113 * [backup-simplify]: Simplify (sqrt 1) into 1 8.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.114 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.114 * [backup-simplify]: Simplify (+ 0 0) into 0 8.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.115 * [backup-simplify]: Simplify (/ 1 1) into 1 8.116 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.116 * [taylor]: Taking taylor expansion of 1 in x 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.116 * [taylor]: Taking taylor expansion of 1/2 in x 8.116 * [backup-simplify]: Simplify 1/2 into 1/2 8.116 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.116 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.116 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.116 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.116 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.116 * [taylor]: Taking taylor expansion of 1 in x 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [taylor]: Taking taylor expansion of 1 in x 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [taylor]: Taking taylor expansion of (* x x) in x 8.116 * [taylor]: Taking taylor expansion of x in x 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [taylor]: Taking taylor expansion of x in x 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.117 * [backup-simplify]: Simplify (* 1 1) into 1 8.117 * [backup-simplify]: Simplify (* 0 0) into 0 8.117 * [backup-simplify]: Simplify (+ 1 0) into 1 8.118 * [backup-simplify]: Simplify (sqrt 1) into 1 8.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.119 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.119 * [backup-simplify]: Simplify (+ 0 0) into 0 8.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.120 * [backup-simplify]: Simplify (/ 1 1) into 1 8.120 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4) in x 8.120 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) 1/4) 8.120 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 8.121 * [taylor]: Taking taylor expansion of 1/2 in x 8.121 * [backup-simplify]: Simplify 1/2 into 1/2 8.121 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.121 * [taylor]: Taking taylor expansion of 1 in x 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.121 * [taylor]: Taking taylor expansion of 1/2 in x 8.121 * [backup-simplify]: Simplify 1/2 into 1/2 8.121 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.121 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.121 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.121 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.121 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.121 * [taylor]: Taking taylor expansion of 1 in x 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [taylor]: Taking taylor expansion of 1 in x 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [taylor]: Taking taylor expansion of (* x x) in x 8.121 * [taylor]: Taking taylor expansion of x in x 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [taylor]: Taking taylor expansion of x in x 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 1 into 1 8.122 * [backup-simplify]: Simplify (* 1 1) into 1 8.122 * [backup-simplify]: Simplify (* 0 0) into 0 8.122 * [backup-simplify]: Simplify (+ 1 0) into 1 8.123 * [backup-simplify]: Simplify (sqrt 1) into 1 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.124 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.125 * [backup-simplify]: Simplify (/ 1 1) into 1 8.125 * [taylor]: Taking taylor expansion of 1/4 in x 8.125 * [backup-simplify]: Simplify 1/4 into 1/4 8.126 * [backup-simplify]: Simplify (* 3/4 1) into 3/4 8.131 * [backup-simplify]: Simplify (+ 3/4 7/8) into 13/8 8.134 * [backup-simplify]: Simplify (* 3/2 1) into 3/2 8.134 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 8.135 * [backup-simplify]: Simplify (+ 3/2 1/8) into 13/8 8.135 * [backup-simplify]: Simplify (- 13/8) into -13/8 8.135 * [backup-simplify]: Simplify (+ 13/8 -13/8) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (+ (* 3/4 0) (* 0 1)) into 0 8.138 * [backup-simplify]: Simplify (+ 0 0) into 0 8.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.140 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0 8.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.142 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 8.143 * [backup-simplify]: Simplify (+ 0 0) into 0 8.143 * [backup-simplify]: Simplify (- 0) into 0 8.143 * [backup-simplify]: Simplify (+ 0 0) into 0 8.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.145 * [backup-simplify]: Simplify (+ 0 1) into 1 8.146 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.147 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 8.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 8.149 * [backup-simplify]: Simplify (+ (* 3/4 -1) (+ (* 0 0) (* 0 1))) into -3/4 8.149 * [backup-simplify]: Simplify (+ -3/4 0) into -3/4 8.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.151 * [backup-simplify]: Simplify (+ 0 1) into 1 8.152 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.154 * [backup-simplify]: Simplify (+ (* 3/2 -1/2) (+ (* 0 0) (* 0 1))) into -3/4 8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.156 * [backup-simplify]: Simplify (+ 0 1) into 1 8.157 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.158 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 8.159 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 8.161 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 8.162 * [backup-simplify]: Simplify (+ -3/4 -3/16) into -15/16 8.162 * [backup-simplify]: Simplify (- -15/16) into 15/16 8.162 * [backup-simplify]: Simplify (+ -3/4 15/16) into 3/16 8.163 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.163 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.163 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.164 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.164 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.165 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.165 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.166 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.166 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.166 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.167 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.167 * [backup-simplify]: Simplify (+ 1/4 1/4) into 1/2 8.168 * [backup-simplify]: Simplify (+ 1/4 1/2) into 3/4 8.168 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 8.168 * [backup-simplify]: Simplify 1/4 into 1/4 8.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.171 * [backup-simplify]: Simplify (+ 0 0) into 0 8.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1 1)) (* -1 (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (+ 0 0) into 0 8.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.179 * [backup-simplify]: Simplify (+ 0 0) into 0 8.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.186 * [backup-simplify]: Simplify (+ 0 0) into 0 8.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ 0 0) into 0 8.194 * [backup-simplify]: Simplify (- 0) into 0 8.194 * [backup-simplify]: Simplify (+ 0 0) into 0 8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.196 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (+ 0 0) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.199 * [backup-simplify]: Simplify (+ 0 0) into 0 8.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.202 * [backup-simplify]: Simplify (- 0) into 0 8.202 * [backup-simplify]: Simplify (+ 0 0) into 0 8.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 8.203 * [backup-simplify]: Simplify (+ 0 0) into 0 8.204 * [backup-simplify]: Simplify (+ 0 0) into 0 8.205 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)))) into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.208 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.210 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 1 1)) (* 0 (/ 0 1)))) into 1 8.213 * [backup-simplify]: Simplify (+ (* 3/4 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 3/4 8.214 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 8.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.217 * [backup-simplify]: Simplify (+ 0 0) into 0 8.218 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.221 * [backup-simplify]: Simplify (+ (* 3/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 9/16 8.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.224 * [backup-simplify]: Simplify (+ 0 0) into 0 8.226 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.227 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 8.233 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 8.234 * [backup-simplify]: Simplify (+ 9/16 15/64) into 51/64 8.234 * [backup-simplify]: Simplify (- 51/64) into -51/64 8.235 * [backup-simplify]: Simplify (+ 3/4 -51/64) into -3/64 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.237 * [backup-simplify]: Simplify (+ 0 1) into 1 8.238 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.240 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.240 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.241 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.243 * [backup-simplify]: Simplify (+ 0 1) into 1 8.244 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.246 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.246 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.247 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.248 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.250 * [backup-simplify]: Simplify (+ 0 1) into 1 8.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.253 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.254 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.254 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.255 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 0 1/2))) into 1/8 8.256 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 8.256 * [backup-simplify]: Simplify (+ 1/4 1/8) into 3/8 8.258 * [backup-simplify]: Simplify (- (/ -3/64 3/4) (+ (* 1/4 (/ 3/8 3/4)) (* 0 (/ 0 3/4)))) into -3/16 8.258 * [backup-simplify]: Simplify -3/16 into -3/16 8.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.261 * [backup-simplify]: Simplify (+ 0 0) into 0 8.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 1 1)) (* 1 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 8.269 * [backup-simplify]: Simplify (+ 0 0) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.272 * [backup-simplify]: Simplify (+ 0 0) into 0 8.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 8.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 8.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.288 * [backup-simplify]: Simplify (+ 0 0) into 0 8.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 8.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 8.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 8.299 * [backup-simplify]: Simplify (+ 0 0) into 0 8.299 * [backup-simplify]: Simplify (- 0) into 0 8.299 * [backup-simplify]: Simplify (+ 0 0) into 0 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.306 * [backup-simplify]: Simplify (- 0) into 0 8.307 * [backup-simplify]: Simplify (+ 0 0) into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.309 * [backup-simplify]: Simplify (+ 0 0) into 0 8.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (- 0) into 0 8.314 * [backup-simplify]: Simplify (+ 0 0) into 0 8.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.321 * [backup-simplify]: Simplify (- 0) into 0 8.321 * [backup-simplify]: Simplify (+ 0 0) into 0 8.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 0 0) (* 0 1/2)))) into 0 8.322 * [backup-simplify]: Simplify (+ 0 0) into 0 8.322 * [backup-simplify]: Simplify (+ 0 0) into 0 8.323 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)) (* 0 (/ 3/8 3/4)) (* -3/16 (/ 0 3/4)))) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.325 * [backup-simplify]: Simplify (+ 0 0) into 0 8.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.327 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 1 1)) (* 0 (/ 0 1)))) into -1 8.329 * [backup-simplify]: Simplify (+ (* 3/4 -1) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into -3/4 8.329 * [backup-simplify]: Simplify (+ -3/4 0) into -3/4 8.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 8.335 * [backup-simplify]: Simplify (+ (* 3/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -15/32 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.337 * [backup-simplify]: Simplify (+ 0 0) into 0 8.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 8.339 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 8.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 8.343 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 8.344 * [backup-simplify]: Simplify (+ -15/32 -35/128) into -95/128 8.344 * [backup-simplify]: Simplify (- -95/128) into 95/128 8.344 * [backup-simplify]: Simplify (+ -3/4 95/128) into -1/128 8.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.346 * [backup-simplify]: Simplify (+ 0 0) into 0 8.347 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.348 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.349 * [backup-simplify]: Simplify (- 3/16) into -3/16 8.349 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 8.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.351 * [backup-simplify]: Simplify (+ 0 0) into 0 8.352 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.354 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.354 * [backup-simplify]: Simplify (- 3/16) into -3/16 8.354 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 8.355 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 8.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.357 * [backup-simplify]: Simplify (+ 0 0) into 0 8.358 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.360 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.360 * [backup-simplify]: Simplify (- 3/16) into -3/16 8.361 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 8.362 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 0 1/4) (+ (* 0 0) (* 0 1/2))))) into -3/32 8.362 * [backup-simplify]: Simplify (+ -3/32 0) into -3/32 8.362 * [backup-simplify]: Simplify (+ -1/8 -3/32) into -7/32 8.363 * [backup-simplify]: Simplify (- (/ -1/128 3/4) (+ (* 1/4 (/ -7/32 3/4)) (* 0 (/ 0 3/4)) (* -3/16 (/ 3/8 3/4)) (* 0 (/ 0 3/4)))) into 5/32 8.363 * [backup-simplify]: Simplify 5/32 into 5/32 8.364 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 8.364 * [backup-simplify]: Simplify (/ (- (* (* (+ (/ -1/2 (hypot 1 (/ 1 x))) 1) (+ (/ -1/2 (hypot 1 (/ 1 x))) 1)) (+ (/ -1/2 (hypot 1 (/ 1 x))) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 (/ 1 x))) 1) (+ (/ -1/2 (hypot 1 (/ 1 x))) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 (/ 1 x))) 1) 1/4))) into (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) 8.364 * [approximate]: Taking taylor expansion of (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) in (x) around 0 8.364 * [taylor]: Taking taylor expansion of (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) in x 8.364 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 8.364 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) in x 8.364 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 8.364 * [taylor]: Taking taylor expansion of 3/4 in x 8.364 * [backup-simplify]: Simplify 3/4 into 3/4 8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 8.364 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 8.364 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.364 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.365 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.365 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.365 * [taylor]: Taking taylor expansion of 1 in x 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [taylor]: Taking taylor expansion of 1 in x 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.365 * [taylor]: Taking taylor expansion of x in x 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.365 * [taylor]: Taking taylor expansion of x in x 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.366 * [backup-simplify]: Simplify (* 1 1) into 1 8.366 * [backup-simplify]: Simplify (+ 0 1) into 1 8.366 * [backup-simplify]: Simplify (sqrt 1) into 1 8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.368 * [backup-simplify]: Simplify (+ 0 0) into 0 8.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.368 * [backup-simplify]: Simplify (* 1 1) into 1 8.369 * [backup-simplify]: Simplify (/ 1 1) into 1 8.369 * [taylor]: Taking taylor expansion of 7/8 in x 8.369 * [backup-simplify]: Simplify 7/8 into 7/8 8.369 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 8.369 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.369 * [taylor]: Taking taylor expansion of 3/2 in x 8.369 * [backup-simplify]: Simplify 3/2 into 3/2 8.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.369 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.369 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.370 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.370 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.370 * [taylor]: Taking taylor expansion of 1 in x 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [taylor]: Taking taylor expansion of 1 in x 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.370 * [taylor]: Taking taylor expansion of x in x 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.370 * [taylor]: Taking taylor expansion of x in x 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.371 * [backup-simplify]: Simplify (* 1 1) into 1 8.371 * [backup-simplify]: Simplify (+ 0 1) into 1 8.371 * [backup-simplify]: Simplify (sqrt 1) into 1 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.373 * [backup-simplify]: Simplify (+ 0 0) into 0 8.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.374 * [backup-simplify]: Simplify (/ 1 1) into 1 8.374 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 8.374 * [taylor]: Taking taylor expansion of 1/8 in x 8.374 * [backup-simplify]: Simplify 1/8 into 1/8 8.374 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 8.374 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 8.374 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.374 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.374 * [taylor]: Taking taylor expansion of 1 in x 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [taylor]: Taking taylor expansion of 1 in x 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.374 * [taylor]: Taking taylor expansion of x in x 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [backup-simplify]: Simplify (/ 1 1) into 1 8.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.374 * [taylor]: Taking taylor expansion of x in x 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 1 into 1 8.375 * [backup-simplify]: Simplify (/ 1 1) into 1 8.375 * [backup-simplify]: Simplify (* 1 1) into 1 8.375 * [backup-simplify]: Simplify (+ 0 1) into 1 8.375 * [backup-simplify]: Simplify (sqrt 1) into 1 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) in x 8.378 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) 8.378 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 8.378 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.378 * [taylor]: Taking taylor expansion of 1 in x 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.378 * [taylor]: Taking taylor expansion of 1/2 in x 8.378 * [backup-simplify]: Simplify 1/2 into 1/2 8.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.378 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.378 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.378 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.378 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.378 * [taylor]: Taking taylor expansion of 1 in x 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [taylor]: Taking taylor expansion of 1 in x 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.379 * [taylor]: Taking taylor expansion of x in x 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (/ 1 1) into 1 8.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.379 * [taylor]: Taking taylor expansion of x in x 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (/ 1 1) into 1 8.379 * [backup-simplify]: Simplify (* 1 1) into 1 8.380 * [backup-simplify]: Simplify (+ 0 1) into 1 8.380 * [backup-simplify]: Simplify (sqrt 1) into 1 8.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.389 * [backup-simplify]: Simplify (/ 1 1) into 1 8.389 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.389 * [taylor]: Taking taylor expansion of 1 in x 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.389 * [taylor]: Taking taylor expansion of 1/2 in x 8.389 * [backup-simplify]: Simplify 1/2 into 1/2 8.389 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.389 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.390 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.390 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.390 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.390 * [taylor]: Taking taylor expansion of 1 in x 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [taylor]: Taking taylor expansion of 1 in x 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.390 * [taylor]: Taking taylor expansion of x in x 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [backup-simplify]: Simplify (/ 1 1) into 1 8.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.390 * [taylor]: Taking taylor expansion of x in x 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (/ 1 1) into 1 8.391 * [backup-simplify]: Simplify (* 1 1) into 1 8.391 * [backup-simplify]: Simplify (+ 0 1) into 1 8.392 * [backup-simplify]: Simplify (sqrt 1) into 1 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.394 * [backup-simplify]: Simplify (+ 0 0) into 0 8.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.395 * [backup-simplify]: Simplify (/ 1 1) into 1 8.395 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4) in x 8.395 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) 1/4) 8.395 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 8.396 * [taylor]: Taking taylor expansion of 1/2 in x 8.396 * [backup-simplify]: Simplify 1/2 into 1/2 8.396 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.396 * [taylor]: Taking taylor expansion of 1 in x 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.396 * [taylor]: Taking taylor expansion of 1/2 in x 8.396 * [backup-simplify]: Simplify 1/2 into 1/2 8.396 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.396 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.396 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.396 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.396 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.396 * [taylor]: Taking taylor expansion of 1 in x 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [taylor]: Taking taylor expansion of 1 in x 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.396 * [taylor]: Taking taylor expansion of x in x 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [backup-simplify]: Simplify (/ 1 1) into 1 8.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.397 * [taylor]: Taking taylor expansion of x in x 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [backup-simplify]: Simplify (/ 1 1) into 1 8.397 * [backup-simplify]: Simplify (* 1 1) into 1 8.398 * [backup-simplify]: Simplify (+ 0 1) into 1 8.398 * [backup-simplify]: Simplify (sqrt 1) into 1 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.402 * [backup-simplify]: Simplify (/ 1 1) into 1 8.402 * [taylor]: Taking taylor expansion of 1/4 in x 8.402 * [backup-simplify]: Simplify 1/4 into 1/4 8.402 * [backup-simplify]: Simplify (+ 0 7/8) into 7/8 8.403 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.403 * [backup-simplify]: Simplify (+ 1 0) into 1 8.403 * [backup-simplify]: Simplify (+ 1 0) into 1 8.404 * [backup-simplify]: Simplify (* 1 1) into 1 8.404 * [backup-simplify]: Simplify (+ 1 0) into 1 8.405 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.405 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 8.405 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 8.406 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 8.406 * [taylor]: Taking taylor expansion of (/ (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) in x 8.406 * [taylor]: Taking taylor expansion of (- (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))))) in x 8.406 * [taylor]: Taking taylor expansion of (+ (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) 7/8) in x 8.406 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ 1 x)) 2))) in x 8.406 * [taylor]: Taking taylor expansion of 3/4 in x 8.406 * [backup-simplify]: Simplify 3/4 into 3/4 8.406 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 2)) in x 8.406 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 8.406 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.406 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.406 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.406 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.406 * [taylor]: Taking taylor expansion of 1 in x 8.406 * [backup-simplify]: Simplify 1 into 1 8.406 * [taylor]: Taking taylor expansion of 1 in x 8.406 * [backup-simplify]: Simplify 1 into 1 8.407 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.407 * [taylor]: Taking taylor expansion of x in x 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (/ 1 1) into 1 8.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.407 * [taylor]: Taking taylor expansion of x in x 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (/ 1 1) into 1 8.408 * [backup-simplify]: Simplify (* 1 1) into 1 8.408 * [backup-simplify]: Simplify (+ 0 1) into 1 8.409 * [backup-simplify]: Simplify (sqrt 1) into 1 8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.411 * [backup-simplify]: Simplify (+ 0 0) into 0 8.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.412 * [backup-simplify]: Simplify (* 1 1) into 1 8.412 * [backup-simplify]: Simplify (/ 1 1) into 1 8.413 * [taylor]: Taking taylor expansion of 7/8 in x 8.413 * [backup-simplify]: Simplify 7/8 into 7/8 8.413 * [taylor]: Taking taylor expansion of (+ (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 8.413 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.413 * [taylor]: Taking taylor expansion of 3/2 in x 8.413 * [backup-simplify]: Simplify 3/2 into 3/2 8.413 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.413 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.413 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.413 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.413 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.413 * [taylor]: Taking taylor expansion of 1 in x 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [taylor]: Taking taylor expansion of 1 in x 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.413 * [taylor]: Taking taylor expansion of x in x 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.414 * [taylor]: Taking taylor expansion of x in x 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (/ 1 1) into 1 8.414 * [backup-simplify]: Simplify (* 1 1) into 1 8.415 * [backup-simplify]: Simplify (+ 0 1) into 1 8.415 * [backup-simplify]: Simplify (sqrt 1) into 1 8.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.418 * [backup-simplify]: Simplify (+ 0 0) into 0 8.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.419 * [backup-simplify]: Simplify (/ 1 1) into 1 8.419 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 8.419 * [taylor]: Taking taylor expansion of 1/8 in x 8.419 * [backup-simplify]: Simplify 1/8 into 1/8 8.419 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 8.419 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 8.419 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.419 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.419 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.419 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.419 * [taylor]: Taking taylor expansion of 1 in x 8.419 * [backup-simplify]: Simplify 1 into 1 8.419 * [taylor]: Taking taylor expansion of 1 in x 8.419 * [backup-simplify]: Simplify 1 into 1 8.419 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.419 * [taylor]: Taking taylor expansion of x in x 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.420 * [taylor]: Taking taylor expansion of x in x 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.421 * [backup-simplify]: Simplify (* 1 1) into 1 8.421 * [backup-simplify]: Simplify (+ 0 1) into 1 8.422 * [backup-simplify]: Simplify (sqrt 1) into 1 8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.425 * [backup-simplify]: Simplify (* 1 1) into 1 8.426 * [backup-simplify]: Simplify (* 1 1) into 1 8.426 * [backup-simplify]: Simplify (/ 1 1) into 1 8.426 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) in x 8.426 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) 8.426 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 8.426 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.426 * [taylor]: Taking taylor expansion of 1 in x 8.426 * [backup-simplify]: Simplify 1 into 1 8.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.426 * [taylor]: Taking taylor expansion of 1/2 in x 8.426 * [backup-simplify]: Simplify 1/2 into 1/2 8.426 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.426 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.426 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.427 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.427 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.427 * [taylor]: Taking taylor expansion of 1 in x 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [taylor]: Taking taylor expansion of 1 in x 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.427 * [taylor]: Taking taylor expansion of x in x 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [backup-simplify]: Simplify (/ 1 1) into 1 8.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.427 * [taylor]: Taking taylor expansion of x in x 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (/ 1 1) into 1 8.428 * [backup-simplify]: Simplify (* 1 1) into 1 8.428 * [backup-simplify]: Simplify (+ 0 1) into 1 8.429 * [backup-simplify]: Simplify (sqrt 1) into 1 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.432 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.433 * [taylor]: Taking taylor expansion of 1 in x 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.433 * [taylor]: Taking taylor expansion of 1/2 in x 8.433 * [backup-simplify]: Simplify 1/2 into 1/2 8.433 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.433 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.433 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.433 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.433 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.433 * [taylor]: Taking taylor expansion of 1 in x 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [taylor]: Taking taylor expansion of 1 in x 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.433 * [taylor]: Taking taylor expansion of x in x 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.434 * [taylor]: Taking taylor expansion of x in x 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.434 * [backup-simplify]: Simplify (* 1 1) into 1 8.435 * [backup-simplify]: Simplify (+ 0 1) into 1 8.435 * [backup-simplify]: Simplify (sqrt 1) into 1 8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.438 * [backup-simplify]: Simplify (+ 0 0) into 0 8.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.439 * [backup-simplify]: Simplify (/ 1 1) into 1 8.439 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4) in x 8.439 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) 1/4) 8.439 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 8.439 * [taylor]: Taking taylor expansion of 1/2 in x 8.439 * [backup-simplify]: Simplify 1/2 into 1/2 8.439 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.439 * [taylor]: Taking taylor expansion of 1 in x 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.439 * [taylor]: Taking taylor expansion of 1/2 in x 8.439 * [backup-simplify]: Simplify 1/2 into 1/2 8.439 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.439 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.439 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.439 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.439 * [taylor]: Taking taylor expansion of 1 in x 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [taylor]: Taking taylor expansion of 1 in x 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.439 * [taylor]: Taking taylor expansion of x in x 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 1 into 1 8.440 * [backup-simplify]: Simplify (/ 1 1) into 1 8.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.440 * [taylor]: Taking taylor expansion of x in x 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.440 * [backup-simplify]: Simplify (/ 1 1) into 1 8.441 * [backup-simplify]: Simplify (* 1 1) into 1 8.441 * [backup-simplify]: Simplify (+ 0 1) into 1 8.441 * [backup-simplify]: Simplify (sqrt 1) into 1 8.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.444 * [backup-simplify]: Simplify (+ 0 0) into 0 8.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.445 * [backup-simplify]: Simplify (/ 1 1) into 1 8.445 * [taylor]: Taking taylor expansion of 1/4 in x 8.445 * [backup-simplify]: Simplify 1/4 into 1/4 8.445 * [backup-simplify]: Simplify (+ 0 7/8) into 7/8 8.446 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.446 * [backup-simplify]: Simplify (+ 1 0) into 1 8.447 * [backup-simplify]: Simplify (+ 1 0) into 1 8.447 * [backup-simplify]: Simplify (* 1 1) into 1 8.447 * [backup-simplify]: Simplify (+ 1 0) into 1 8.448 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.448 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 8.449 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 8.449 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 8.449 * [backup-simplify]: Simplify 1/2 into 1/2 8.450 * [backup-simplify]: Simplify (+ 0 0) into 0 8.450 * [backup-simplify]: Simplify (* 3/2 1) into 3/2 8.451 * [backup-simplify]: Simplify (+ 3/2 0) into 3/2 8.451 * [backup-simplify]: Simplify (- 3/2) into -3/2 8.451 * [backup-simplify]: Simplify (+ 0 -3/2) into -3/2 8.452 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.452 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.453 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.453 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.453 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.454 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.454 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 8.455 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.455 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.456 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.456 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1)) into -1/4 8.457 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 8.457 * [backup-simplify]: Simplify (+ -1 -1/4) into -5/4 8.458 * [backup-simplify]: Simplify (- (/ -3/2 7/4) (+ (* 1/2 (/ -5/4 7/4)))) into -1/2 8.458 * [backup-simplify]: Simplify -1/2 into -1/2 8.459 * [backup-simplify]: Simplify (* 3/4 1) into 3/4 8.459 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 8.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0 8.461 * [backup-simplify]: Simplify (+ 0 0) into 0 8.462 * [backup-simplify]: Simplify (- 0) into 0 8.462 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 8.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.464 * [backup-simplify]: Simplify (- 0) into 0 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.466 * [backup-simplify]: Simplify (- 0) into 0 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.470 * [backup-simplify]: Simplify (- 0) into 0 8.470 * [backup-simplify]: Simplify (+ 0 0) into 0 8.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (* 0 1))) into 0 8.472 * [backup-simplify]: Simplify (+ 0 0) into 0 8.472 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.474 * [backup-simplify]: Simplify (- (/ 3/4 7/4) (+ (* 1/2 (/ 1/4 7/4)) (* -1/2 (/ -5/4 7/4)))) into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 3/4 0) (* 0 1)) into 0 8.476 * [backup-simplify]: Simplify (+ 0 0) into 0 8.477 * [backup-simplify]: Simplify (* 1 1) into 1 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.480 * [backup-simplify]: Simplify (+ 1 0) into 1 8.481 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.483 * [backup-simplify]: Simplify (+ (* 3/2 -1/2) (+ (* 0 0) (* 0 1))) into -3/4 8.483 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 8.484 * [backup-simplify]: Simplify (+ -3/4 1/8) into -5/8 8.484 * [backup-simplify]: Simplify (- -5/8) into 5/8 8.485 * [backup-simplify]: Simplify (+ 0 5/8) into 5/8 8.485 * [backup-simplify]: Simplify (* 1 1) into 1 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.487 * [backup-simplify]: Simplify (+ 1 0) into 1 8.488 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.489 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.489 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.489 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.490 * [backup-simplify]: Simplify (* 1 1) into 1 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.491 * [backup-simplify]: Simplify (+ 1 0) into 1 8.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.493 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.493 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.494 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.494 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1/2 0) (+ (* 0 -1/2) (* 1/4 1)))) into 1/2 8.495 * [backup-simplify]: Simplify (* 1 1) into 1 8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.497 * [backup-simplify]: Simplify (+ 1 0) into 1 8.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.498 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.499 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.499 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.500 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1)))) into 1/8 8.500 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 8.500 * [backup-simplify]: Simplify (+ 1/2 1/8) into 5/8 8.501 * [backup-simplify]: Simplify (- (/ 5/8 7/4) (+ (* 1/2 (/ 5/8 7/4)) (* -1/2 (/ 1/4 7/4)) (* 0 (/ -5/4 7/4)))) into 1/4 8.501 * [backup-simplify]: Simplify 1/4 into 1/4 8.502 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) 1/2)) into (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) 8.502 * [backup-simplify]: Simplify (/ (- (* (* (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1) (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1)) (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1) (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1) 1/4))) into (/ (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) 8.503 * [approximate]: Taking taylor expansion of (/ (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) in (x) around 0 8.503 * [taylor]: Taking taylor expansion of (/ (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) in x 8.503 * [taylor]: Taking taylor expansion of (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 8.503 * [taylor]: Taking taylor expansion of (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 8.503 * [taylor]: Taking taylor expansion of 7/8 in x 8.503 * [backup-simplify]: Simplify 7/8 into 7/8 8.503 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 8.503 * [taylor]: Taking taylor expansion of 3/4 in x 8.503 * [backup-simplify]: Simplify 3/4 into 3/4 8.503 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 8.503 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 8.503 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.503 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.503 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.503 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.503 * [taylor]: Taking taylor expansion of 1 in x 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of 1 in x 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.503 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.503 * [taylor]: Taking taylor expansion of -1 in x 8.503 * [backup-simplify]: Simplify -1 into -1 8.503 * [taylor]: Taking taylor expansion of x in x 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.504 * [backup-simplify]: Simplify (/ -1 1) into -1 8.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.504 * [taylor]: Taking taylor expansion of -1 in x 8.504 * [backup-simplify]: Simplify -1 into -1 8.504 * [taylor]: Taking taylor expansion of x in x 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 1 into 1 8.505 * [backup-simplify]: Simplify (/ -1 1) into -1 8.505 * [backup-simplify]: Simplify (* -1 -1) into 1 8.506 * [backup-simplify]: Simplify (+ 0 1) into 1 8.506 * [backup-simplify]: Simplify (sqrt 1) into 1 8.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.508 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.509 * [backup-simplify]: Simplify (+ 0 0) into 0 8.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.510 * [backup-simplify]: Simplify (* 1 1) into 1 8.510 * [backup-simplify]: Simplify (/ 1 1) into 1 8.511 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.511 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 8.511 * [taylor]: Taking taylor expansion of 1/8 in x 8.511 * [backup-simplify]: Simplify 1/8 into 1/8 8.511 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 8.511 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 8.511 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.511 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.511 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.511 * [taylor]: Taking taylor expansion of 1 in x 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [taylor]: Taking taylor expansion of 1 in x 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.511 * [taylor]: Taking taylor expansion of -1 in x 8.511 * [backup-simplify]: Simplify -1 into -1 8.511 * [taylor]: Taking taylor expansion of x in x 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify (/ -1 1) into -1 8.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.512 * [taylor]: Taking taylor expansion of -1 in x 8.512 * [backup-simplify]: Simplify -1 into -1 8.512 * [taylor]: Taking taylor expansion of x in x 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify (/ -1 1) into -1 8.513 * [backup-simplify]: Simplify (* -1 -1) into 1 8.513 * [backup-simplify]: Simplify (+ 0 1) into 1 8.513 * [backup-simplify]: Simplify (sqrt 1) into 1 8.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.524 * [backup-simplify]: Simplify (+ 0 0) into 0 8.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.525 * [backup-simplify]: Simplify (* 1 1) into 1 8.525 * [backup-simplify]: Simplify (* 1 1) into 1 8.526 * [backup-simplify]: Simplify (/ 1 1) into 1 8.526 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.526 * [taylor]: Taking taylor expansion of 3/2 in x 8.526 * [backup-simplify]: Simplify 3/2 into 3/2 8.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.526 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.526 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.526 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.526 * [taylor]: Taking taylor expansion of 1 in x 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [taylor]: Taking taylor expansion of 1 in x 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.526 * [taylor]: Taking taylor expansion of -1 in x 8.526 * [backup-simplify]: Simplify -1 into -1 8.526 * [taylor]: Taking taylor expansion of x in x 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.527 * [backup-simplify]: Simplify (/ -1 1) into -1 8.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.527 * [taylor]: Taking taylor expansion of -1 in x 8.527 * [backup-simplify]: Simplify -1 into -1 8.527 * [taylor]: Taking taylor expansion of x in x 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 1 into 1 8.527 * [backup-simplify]: Simplify (/ -1 1) into -1 8.528 * [backup-simplify]: Simplify (* -1 -1) into 1 8.528 * [backup-simplify]: Simplify (+ 0 1) into 1 8.529 * [backup-simplify]: Simplify (sqrt 1) into 1 8.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.531 * [backup-simplify]: Simplify (+ 0 0) into 0 8.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.533 * [backup-simplify]: Simplify (/ 1 1) into 1 8.533 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) in x 8.533 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) 8.533 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 8.533 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.533 * [taylor]: Taking taylor expansion of 1 in x 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.533 * [taylor]: Taking taylor expansion of 1/2 in x 8.533 * [backup-simplify]: Simplify 1/2 into 1/2 8.533 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.533 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.533 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.533 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.533 * [taylor]: Taking taylor expansion of 1 in x 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [taylor]: Taking taylor expansion of 1 in x 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.533 * [taylor]: Taking taylor expansion of -1 in x 8.533 * [backup-simplify]: Simplify -1 into -1 8.533 * [taylor]: Taking taylor expansion of x in x 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 1 into 1 8.534 * [backup-simplify]: Simplify (/ -1 1) into -1 8.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.534 * [taylor]: Taking taylor expansion of -1 in x 8.534 * [backup-simplify]: Simplify -1 into -1 8.534 * [taylor]: Taking taylor expansion of x in x 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify 1 into 1 8.534 * [backup-simplify]: Simplify (/ -1 1) into -1 8.535 * [backup-simplify]: Simplify (* -1 -1) into 1 8.535 * [backup-simplify]: Simplify (+ 0 1) into 1 8.536 * [backup-simplify]: Simplify (sqrt 1) into 1 8.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.538 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.538 * [backup-simplify]: Simplify (+ 0 0) into 0 8.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.539 * [backup-simplify]: Simplify (/ 1 1) into 1 8.539 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.539 * [taylor]: Taking taylor expansion of 1 in x 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.540 * [taylor]: Taking taylor expansion of 1/2 in x 8.540 * [backup-simplify]: Simplify 1/2 into 1/2 8.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.540 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.540 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.540 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.540 * [taylor]: Taking taylor expansion of 1 in x 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [taylor]: Taking taylor expansion of 1 in x 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.540 * [taylor]: Taking taylor expansion of -1 in x 8.540 * [backup-simplify]: Simplify -1 into -1 8.540 * [taylor]: Taking taylor expansion of x in x 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (/ -1 1) into -1 8.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.541 * [taylor]: Taking taylor expansion of -1 in x 8.541 * [backup-simplify]: Simplify -1 into -1 8.541 * [taylor]: Taking taylor expansion of x in x 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ -1 1) into -1 8.541 * [backup-simplify]: Simplify (* -1 -1) into 1 8.542 * [backup-simplify]: Simplify (+ 0 1) into 1 8.542 * [backup-simplify]: Simplify (sqrt 1) into 1 8.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.544 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.545 * [backup-simplify]: Simplify (+ 0 0) into 0 8.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.546 * [backup-simplify]: Simplify (/ 1 1) into 1 8.546 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4) in x 8.546 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) 1/4) 8.546 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 8.546 * [taylor]: Taking taylor expansion of 1/2 in x 8.546 * [backup-simplify]: Simplify 1/2 into 1/2 8.546 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.546 * [taylor]: Taking taylor expansion of 1 in x 8.546 * [backup-simplify]: Simplify 1 into 1 8.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.546 * [taylor]: Taking taylor expansion of 1/2 in x 8.546 * [backup-simplify]: Simplify 1/2 into 1/2 8.546 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.546 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.546 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.546 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.546 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.546 * [taylor]: Taking taylor expansion of 1 in x 8.546 * [backup-simplify]: Simplify 1 into 1 8.546 * [taylor]: Taking taylor expansion of 1 in x 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.547 * [taylor]: Taking taylor expansion of -1 in x 8.547 * [backup-simplify]: Simplify -1 into -1 8.547 * [taylor]: Taking taylor expansion of x in x 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (/ -1 1) into -1 8.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.547 * [taylor]: Taking taylor expansion of -1 in x 8.547 * [backup-simplify]: Simplify -1 into -1 8.547 * [taylor]: Taking taylor expansion of x in x 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.548 * [backup-simplify]: Simplify (/ -1 1) into -1 8.548 * [backup-simplify]: Simplify (* -1 -1) into 1 8.548 * [backup-simplify]: Simplify (+ 0 1) into 1 8.549 * [backup-simplify]: Simplify (sqrt 1) into 1 8.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [taylor]: Taking taylor expansion of 1/4 in x 8.552 * [backup-simplify]: Simplify 1/4 into 1/4 8.553 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.553 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.553 * [backup-simplify]: Simplify (+ 1 0) into 1 8.554 * [backup-simplify]: Simplify (+ 1 0) into 1 8.554 * [backup-simplify]: Simplify (* 1 1) into 1 8.555 * [backup-simplify]: Simplify (+ 1 0) into 1 8.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.555 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 8.556 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 8.556 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 8.556 * [taylor]: Taking taylor expansion of (/ (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) in x 8.556 * [taylor]: Taking taylor expansion of (- (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 8.556 * [taylor]: Taking taylor expansion of (+ 7/8 (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2)))) in x 8.556 * [taylor]: Taking taylor expansion of 7/8 in x 8.556 * [backup-simplify]: Simplify 7/8 into 7/8 8.556 * [taylor]: Taking taylor expansion of (* 3/4 (/ 1 (pow (hypot 1 (/ -1 x)) 2))) in x 8.556 * [taylor]: Taking taylor expansion of 3/4 in x 8.556 * [backup-simplify]: Simplify 3/4 into 3/4 8.556 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 2)) in x 8.556 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 8.556 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.557 * [taylor]: Taking taylor expansion of 1 in x 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [taylor]: Taking taylor expansion of 1 in x 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.557 * [taylor]: Taking taylor expansion of -1 in x 8.557 * [backup-simplify]: Simplify -1 into -1 8.557 * [taylor]: Taking taylor expansion of x in x 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (/ -1 1) into -1 8.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.557 * [taylor]: Taking taylor expansion of -1 in x 8.557 * [backup-simplify]: Simplify -1 into -1 8.557 * [taylor]: Taking taylor expansion of x in x 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.558 * [backup-simplify]: Simplify (/ -1 1) into -1 8.558 * [backup-simplify]: Simplify (* -1 -1) into 1 8.558 * [backup-simplify]: Simplify (+ 0 1) into 1 8.559 * [backup-simplify]: Simplify (sqrt 1) into 1 8.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.561 * [backup-simplify]: Simplify (+ 0 0) into 0 8.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.562 * [backup-simplify]: Simplify (* 1 1) into 1 8.562 * [backup-simplify]: Simplify (/ 1 1) into 1 8.562 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) (* 3/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.563 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 8.563 * [taylor]: Taking taylor expansion of 1/8 in x 8.563 * [backup-simplify]: Simplify 1/8 into 1/8 8.563 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 8.563 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 8.563 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.563 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.563 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.563 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.563 * [taylor]: Taking taylor expansion of 1 in x 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [taylor]: Taking taylor expansion of 1 in x 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.563 * [taylor]: Taking taylor expansion of -1 in x 8.563 * [backup-simplify]: Simplify -1 into -1 8.563 * [taylor]: Taking taylor expansion of x in x 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (/ -1 1) into -1 8.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.563 * [taylor]: Taking taylor expansion of -1 in x 8.563 * [backup-simplify]: Simplify -1 into -1 8.563 * [taylor]: Taking taylor expansion of x in x 8.563 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 1 into 1 8.564 * [backup-simplify]: Simplify (/ -1 1) into -1 8.564 * [backup-simplify]: Simplify (* -1 -1) into 1 8.565 * [backup-simplify]: Simplify (+ 0 1) into 1 8.565 * [backup-simplify]: Simplify (sqrt 1) into 1 8.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.568 * [backup-simplify]: Simplify (+ 0 0) into 0 8.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.569 * [backup-simplify]: Simplify (* 1 1) into 1 8.569 * [backup-simplify]: Simplify (* 1 1) into 1 8.569 * [backup-simplify]: Simplify (/ 1 1) into 1 8.569 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.569 * [taylor]: Taking taylor expansion of 3/2 in x 8.569 * [backup-simplify]: Simplify 3/2 into 3/2 8.570 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.570 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.570 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.570 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.570 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.570 * [taylor]: Taking taylor expansion of 1 in x 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [taylor]: Taking taylor expansion of 1 in x 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.570 * [taylor]: Taking taylor expansion of -1 in x 8.570 * [backup-simplify]: Simplify -1 into -1 8.570 * [taylor]: Taking taylor expansion of x in x 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (/ -1 1) into -1 8.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.570 * [taylor]: Taking taylor expansion of -1 in x 8.570 * [backup-simplify]: Simplify -1 into -1 8.570 * [taylor]: Taking taylor expansion of x in x 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (/ -1 1) into -1 8.571 * [backup-simplify]: Simplify (* -1 -1) into 1 8.571 * [backup-simplify]: Simplify (+ 0 1) into 1 8.571 * [backup-simplify]: Simplify (sqrt 1) into 1 8.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.573 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.573 * [backup-simplify]: Simplify (+ 0 0) into 0 8.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.573 * [backup-simplify]: Simplify (/ 1 1) into 1 8.573 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) in x 8.574 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) 8.574 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 8.574 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.574 * [taylor]: Taking taylor expansion of 1 in x 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.574 * [taylor]: Taking taylor expansion of 1/2 in x 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 8.574 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.574 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.574 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.574 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.574 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.574 * [taylor]: Taking taylor expansion of 1 in x 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of 1 in x 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.574 * [taylor]: Taking taylor expansion of -1 in x 8.574 * [backup-simplify]: Simplify -1 into -1 8.574 * [taylor]: Taking taylor expansion of x in x 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (/ -1 1) into -1 8.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.574 * [taylor]: Taking taylor expansion of -1 in x 8.574 * [backup-simplify]: Simplify -1 into -1 8.574 * [taylor]: Taking taylor expansion of x in x 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.575 * [backup-simplify]: Simplify (/ -1 1) into -1 8.575 * [backup-simplify]: Simplify (* -1 -1) into 1 8.575 * [backup-simplify]: Simplify (+ 0 1) into 1 8.575 * [backup-simplify]: Simplify (sqrt 1) into 1 8.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.577 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.577 * [backup-simplify]: Simplify (+ 0 0) into 0 8.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.578 * [backup-simplify]: Simplify (/ 1 1) into 1 8.578 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.578 * [taylor]: Taking taylor expansion of 1 in x 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.578 * [taylor]: Taking taylor expansion of 1/2 in x 8.578 * [backup-simplify]: Simplify 1/2 into 1/2 8.578 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.578 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.578 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.578 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.578 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.578 * [taylor]: Taking taylor expansion of 1 in x 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [taylor]: Taking taylor expansion of 1 in x 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.578 * [taylor]: Taking taylor expansion of -1 in x 8.578 * [backup-simplify]: Simplify -1 into -1 8.578 * [taylor]: Taking taylor expansion of x in x 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [backup-simplify]: Simplify (/ -1 1) into -1 8.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.578 * [taylor]: Taking taylor expansion of -1 in x 8.578 * [backup-simplify]: Simplify -1 into -1 8.578 * [taylor]: Taking taylor expansion of x in x 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (/ -1 1) into -1 8.579 * [backup-simplify]: Simplify (* -1 -1) into 1 8.579 * [backup-simplify]: Simplify (+ 0 1) into 1 8.579 * [backup-simplify]: Simplify (sqrt 1) into 1 8.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.581 * [backup-simplify]: Simplify (+ 0 0) into 0 8.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.582 * [backup-simplify]: Simplify (/ 1 1) into 1 8.582 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4) in x 8.582 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) 1/4) 8.582 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 8.582 * [taylor]: Taking taylor expansion of 1/2 in x 8.582 * [backup-simplify]: Simplify 1/2 into 1/2 8.582 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.582 * [taylor]: Taking taylor expansion of 1 in x 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.582 * [taylor]: Taking taylor expansion of 1/2 in x 8.582 * [backup-simplify]: Simplify 1/2 into 1/2 8.582 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.582 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.582 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.582 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.582 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.582 * [taylor]: Taking taylor expansion of 1 in x 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of 1 in x 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.582 * [taylor]: Taking taylor expansion of -1 in x 8.582 * [backup-simplify]: Simplify -1 into -1 8.582 * [taylor]: Taking taylor expansion of x in x 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.583 * [backup-simplify]: Simplify (/ -1 1) into -1 8.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.583 * [taylor]: Taking taylor expansion of -1 in x 8.583 * [backup-simplify]: Simplify -1 into -1 8.583 * [taylor]: Taking taylor expansion of x in x 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.583 * [backup-simplify]: Simplify (/ -1 1) into -1 8.583 * [backup-simplify]: Simplify (* -1 -1) into 1 8.583 * [backup-simplify]: Simplify (+ 0 1) into 1 8.584 * [backup-simplify]: Simplify (sqrt 1) into 1 8.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.585 * [backup-simplify]: Simplify (+ 0 0) into 0 8.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.586 * [backup-simplify]: Simplify (/ 1 1) into 1 8.586 * [taylor]: Taking taylor expansion of 1/4 in x 8.586 * [backup-simplify]: Simplify 1/4 into 1/4 8.586 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.586 * [backup-simplify]: Simplify (+ 7/8 0) into 7/8 8.587 * [backup-simplify]: Simplify (+ 1 0) into 1 8.587 * [backup-simplify]: Simplify (+ 1 0) into 1 8.587 * [backup-simplify]: Simplify (* 1 1) into 1 8.587 * [backup-simplify]: Simplify (+ 1 0) into 1 8.588 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.588 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 8.588 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 8.589 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 8.589 * [backup-simplify]: Simplify 1/2 into 1/2 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.589 * [backup-simplify]: Simplify (* 3/2 1) into 3/2 8.589 * [backup-simplify]: Simplify (+ 0 3/2) into 3/2 8.590 * [backup-simplify]: Simplify (- 3/2) into -3/2 8.590 * [backup-simplify]: Simplify (+ 0 -3/2) into -3/2 8.590 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.590 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.591 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.591 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.591 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.591 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.592 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 8.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.592 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.593 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.593 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1)) into -1/4 8.593 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 8.594 * [backup-simplify]: Simplify (+ -1 -1/4) into -5/4 8.594 * [backup-simplify]: Simplify (- (/ -3/2 7/4) (+ (* 1/2 (/ -5/4 7/4)))) into -1/2 8.594 * [backup-simplify]: Simplify -1/2 into -1/2 8.594 * [backup-simplify]: Simplify (* 3/4 1) into 3/4 8.595 * [backup-simplify]: Simplify (+ 0 3/4) into 3/4 8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.596 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [backup-simplify]: Simplify (- 0) into 0 8.596 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 8.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.597 * [backup-simplify]: Simplify (- 0) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.599 * [backup-simplify]: Simplify (- 0) into 0 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.601 * [backup-simplify]: Simplify (- 0) into 0 8.601 * [backup-simplify]: Simplify (+ 0 0) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (* 0 1))) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.602 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.603 * [backup-simplify]: Simplify (- (/ 3/4 7/4) (+ (* 1/2 (/ 1/4 7/4)) (* -1/2 (/ -5/4 7/4)))) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify (+ (* 3/4 0) (* 0 1)) into 0 8.605 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 8.605 * [backup-simplify]: Simplify (* 1 1) into 1 8.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.607 * [backup-simplify]: Simplify (+ 1 0) into 1 8.608 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.609 * [backup-simplify]: Simplify (+ (* 3/2 -1/2) (+ (* 0 0) (* 0 1))) into -3/4 8.609 * [backup-simplify]: Simplify (+ 1/8 -3/4) into -5/8 8.610 * [backup-simplify]: Simplify (- -5/8) into 5/8 8.610 * [backup-simplify]: Simplify (+ 0 5/8) into 5/8 8.610 * [backup-simplify]: Simplify (* 1 1) into 1 8.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.612 * [backup-simplify]: Simplify (+ 1 0) into 1 8.613 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.614 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.614 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.615 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.615 * [backup-simplify]: Simplify (* 1 1) into 1 8.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.617 * [backup-simplify]: Simplify (+ 1 0) into 1 8.617 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.619 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.619 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.620 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.621 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1/2 0) (+ (* 0 -1/2) (* 1/4 1)))) into 1/2 8.621 * [backup-simplify]: Simplify (* 1 1) into 1 8.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.623 * [backup-simplify]: Simplify (+ 1 0) into 1 8.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.631 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.632 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.632 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.633 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1)))) into 1/8 8.633 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 8.634 * [backup-simplify]: Simplify (+ 1/2 1/8) into 5/8 8.635 * [backup-simplify]: Simplify (- (/ 5/8 7/4) (+ (* 1/2 (/ 5/8 7/4)) (* -1/2 (/ 1/4 7/4)) (* 0 (/ -5/4 7/4)))) into 1/4 8.635 * [backup-simplify]: Simplify 1/4 into 1/4 8.635 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 8.635 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 8.635 * [backup-simplify]: Simplify (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) into (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) 8.636 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in (x) around 0 8.636 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 8.636 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.636 * [taylor]: Taking taylor expansion of 1 in x 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.636 * [taylor]: Taking taylor expansion of 1/2 in x 8.636 * [backup-simplify]: Simplify 1/2 into 1/2 8.636 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.636 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.636 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.636 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.636 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.636 * [taylor]: Taking taylor expansion of 1 in x 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of 1 in x 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of (* x x) in x 8.636 * [taylor]: Taking taylor expansion of x in x 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of x in x 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (* 1 1) into 1 8.636 * [backup-simplify]: Simplify (* 0 0) into 0 8.637 * [backup-simplify]: Simplify (+ 1 0) into 1 8.637 * [backup-simplify]: Simplify (sqrt 1) into 1 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.638 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.638 * [backup-simplify]: Simplify (+ 0 0) into 0 8.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.639 * [backup-simplify]: Simplify (/ 1 1) into 1 8.639 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.639 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.639 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.639 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 8.639 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 8.639 * [taylor]: Taking taylor expansion of 1 in x 8.639 * [backup-simplify]: Simplify 1 into 1 8.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 8.639 * [taylor]: Taking taylor expansion of 1/2 in x 8.639 * [backup-simplify]: Simplify 1/2 into 1/2 8.639 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 8.639 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.640 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.640 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.640 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.640 * [taylor]: Taking taylor expansion of 1 in x 8.640 * [backup-simplify]: Simplify 1 into 1 8.640 * [taylor]: Taking taylor expansion of 1 in x 8.640 * [backup-simplify]: Simplify 1 into 1 8.640 * [taylor]: Taking taylor expansion of (* x x) in x 8.640 * [taylor]: Taking taylor expansion of x in x 8.640 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify 1 into 1 8.640 * [taylor]: Taking taylor expansion of x in x 8.640 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify 1 into 1 8.640 * [backup-simplify]: Simplify (* 1 1) into 1 8.640 * [backup-simplify]: Simplify (* 0 0) into 0 8.640 * [backup-simplify]: Simplify (+ 1 0) into 1 8.641 * [backup-simplify]: Simplify (sqrt 1) into 1 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.641 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.642 * [backup-simplify]: Simplify (+ 0 0) into 0 8.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.642 * [backup-simplify]: Simplify (/ 1 1) into 1 8.643 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.643 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.643 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 8.643 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.643 * [backup-simplify]: Simplify 1/4 into 1/4 8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.645 * [backup-simplify]: Simplify (- 0) into 0 8.645 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 8.645 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.646 * [backup-simplify]: Simplify (+ 0 1) into 1 8.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 8.648 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 8.648 * [backup-simplify]: Simplify (- -1/4) into 1/4 8.649 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.649 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 8.649 * [backup-simplify]: Simplify 1/4 into 1/4 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.651 * [backup-simplify]: Simplify (+ 0 0) into 0 8.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (- 0) into 0 8.654 * [backup-simplify]: Simplify (+ 0 0) into 0 8.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 8.654 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.656 * [backup-simplify]: Simplify (+ 0 0) into 0 8.657 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 8.659 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 8.659 * [backup-simplify]: Simplify (- 3/16) into -3/16 8.659 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 8.660 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 8.660 * [backup-simplify]: Simplify -1/8 into -1/8 8.660 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/4 (pow x 2)) 1/4)) into (- (+ (* 1/4 (pow x 2)) 1/4) (* 1/8 (pow x 4))) 8.660 * [backup-simplify]: Simplify (* (+ (/ -1/2 (hypot 1 (/ 1 x))) 1) (+ (/ -1/2 (hypot 1 (/ 1 x))) 1)) into (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) 8.660 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in (x) around 0 8.660 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 8.661 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.661 * [taylor]: Taking taylor expansion of 1 in x 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.661 * [taylor]: Taking taylor expansion of 1/2 in x 8.661 * [backup-simplify]: Simplify 1/2 into 1/2 8.661 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.661 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.661 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.661 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.661 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.661 * [taylor]: Taking taylor expansion of 1 in x 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [taylor]: Taking taylor expansion of 1 in x 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.661 * [taylor]: Taking taylor expansion of x in x 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [backup-simplify]: Simplify (/ 1 1) into 1 8.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.661 * [taylor]: Taking taylor expansion of x in x 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [backup-simplify]: Simplify (/ 1 1) into 1 8.662 * [backup-simplify]: Simplify (* 1 1) into 1 8.662 * [backup-simplify]: Simplify (+ 0 1) into 1 8.662 * [backup-simplify]: Simplify (sqrt 1) into 1 8.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.664 * [backup-simplify]: Simplify (+ 0 0) into 0 8.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.664 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [backup-simplify]: Simplify (+ 1 0) into 1 8.665 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 8.665 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 8.665 * [taylor]: Taking taylor expansion of 1 in x 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 8.665 * [taylor]: Taking taylor expansion of 1/2 in x 8.665 * [backup-simplify]: Simplify 1/2 into 1/2 8.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 8.665 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.665 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.665 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.665 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.665 * [taylor]: Taking taylor expansion of 1 in x 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [taylor]: Taking taylor expansion of 1 in x 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.665 * [taylor]: Taking taylor expansion of x in x 8.665 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.665 * [taylor]: Taking taylor expansion of x in x 8.665 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.666 * [backup-simplify]: Simplify (* 1 1) into 1 8.666 * [backup-simplify]: Simplify (+ 0 1) into 1 8.666 * [backup-simplify]: Simplify (sqrt 1) into 1 8.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.668 * [backup-simplify]: Simplify (+ 0 0) into 0 8.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.668 * [backup-simplify]: Simplify (/ 1 1) into 1 8.669 * [backup-simplify]: Simplify (+ 1 0) into 1 8.669 * [backup-simplify]: Simplify (* 1 1) into 1 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.670 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.670 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.671 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 8.671 * [backup-simplify]: Simplify -1 into -1 8.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.673 * [backup-simplify]: Simplify (- 0) into 0 8.673 * [backup-simplify]: Simplify (+ 0 0) into 0 8.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 8.674 * [backup-simplify]: Simplify 1/4 into 1/4 8.674 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ (* 1/4 (/ 1 (pow x 2))) 1) (/ 1 x)) 8.675 * [backup-simplify]: Simplify (* (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1) (+ (/ -1/2 (hypot 1 (/ 1 (- x)))) 1)) into (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) 8.675 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in (x) around 0 8.675 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 8.675 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.675 * [taylor]: Taking taylor expansion of 1 in x 8.675 * [backup-simplify]: Simplify 1 into 1 8.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.675 * [taylor]: Taking taylor expansion of 1/2 in x 8.675 * [backup-simplify]: Simplify 1/2 into 1/2 8.675 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.675 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.675 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.675 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.675 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.675 * [taylor]: Taking taylor expansion of 1 in x 8.675 * [backup-simplify]: Simplify 1 into 1 8.676 * [taylor]: Taking taylor expansion of 1 in x 8.676 * [backup-simplify]: Simplify 1 into 1 8.676 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.676 * [taylor]: Taking taylor expansion of -1 in x 8.676 * [backup-simplify]: Simplify -1 into -1 8.676 * [taylor]: Taking taylor expansion of x in x 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.676 * [backup-simplify]: Simplify (/ -1 1) into -1 8.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.676 * [taylor]: Taking taylor expansion of -1 in x 8.676 * [backup-simplify]: Simplify -1 into -1 8.676 * [taylor]: Taking taylor expansion of x in x 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.677 * [backup-simplify]: Simplify (/ -1 1) into -1 8.677 * [backup-simplify]: Simplify (* -1 -1) into 1 8.678 * [backup-simplify]: Simplify (+ 0 1) into 1 8.678 * [backup-simplify]: Simplify (sqrt 1) into 1 8.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.680 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.681 * [backup-simplify]: Simplify (+ 0 0) into 0 8.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.682 * [backup-simplify]: Simplify (/ 1 1) into 1 8.682 * [backup-simplify]: Simplify (+ 1 0) into 1 8.682 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 8.682 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 8.682 * [taylor]: Taking taylor expansion of 1 in x 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 8.682 * [taylor]: Taking taylor expansion of 1/2 in x 8.682 * [backup-simplify]: Simplify 1/2 into 1/2 8.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 8.683 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.683 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.683 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.683 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.683 * [taylor]: Taking taylor expansion of 1 in x 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [taylor]: Taking taylor expansion of 1 in x 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.683 * [taylor]: Taking taylor expansion of -1 in x 8.683 * [backup-simplify]: Simplify -1 into -1 8.683 * [taylor]: Taking taylor expansion of x in x 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (/ -1 1) into -1 8.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.683 * [taylor]: Taking taylor expansion of -1 in x 8.683 * [backup-simplify]: Simplify -1 into -1 8.683 * [taylor]: Taking taylor expansion of x in x 8.683 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (/ -1 1) into -1 8.684 * [backup-simplify]: Simplify (* -1 -1) into 1 8.685 * [backup-simplify]: Simplify (+ 0 1) into 1 8.685 * [backup-simplify]: Simplify (sqrt 1) into 1 8.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.687 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.688 * [backup-simplify]: Simplify (+ 0 0) into 0 8.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.689 * [backup-simplify]: Simplify (/ 1 1) into 1 8.689 * [backup-simplify]: Simplify (+ 1 0) into 1 8.690 * [backup-simplify]: Simplify (* 1 1) into 1 8.690 * [backup-simplify]: Simplify 1 into 1 8.690 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.691 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.691 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.692 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 8.692 * [backup-simplify]: Simplify -1 into -1 8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.694 * [backup-simplify]: Simplify (- 0) into 0 8.694 * [backup-simplify]: Simplify (+ 0 0) into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 8.695 * [backup-simplify]: Simplify 1/4 into 1/4 8.696 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) 1)) into (+ (* 1/4 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) 8.696 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 3 2 1) 8.696 * [backup-simplify]: Simplify (/ -1/2 (hypot 1 x)) into (/ -1/2 (hypot 1 x)) 8.696 * [approximate]: Taking taylor expansion of (/ -1/2 (hypot 1 x)) in (x) around 0 8.696 * [taylor]: Taking taylor expansion of (/ -1/2 (hypot 1 x)) in x 8.696 * [taylor]: Taking taylor expansion of -1/2 in x 8.696 * [backup-simplify]: Simplify -1/2 into -1/2 8.696 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.696 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.696 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.696 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.696 * [taylor]: Taking taylor expansion of 1 in x 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [taylor]: Taking taylor expansion of 1 in x 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [taylor]: Taking taylor expansion of (* x x) in x 8.696 * [taylor]: Taking taylor expansion of x in x 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [taylor]: Taking taylor expansion of x in x 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (* 1 1) into 1 8.697 * [backup-simplify]: Simplify (* 0 0) into 0 8.698 * [backup-simplify]: Simplify (+ 1 0) into 1 8.698 * [backup-simplify]: Simplify (sqrt 1) into 1 8.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.699 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.700 * [backup-simplify]: Simplify (+ 0 0) into 0 8.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.701 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.701 * [taylor]: Taking taylor expansion of (/ -1/2 (hypot 1 x)) in x 8.701 * [taylor]: Taking taylor expansion of -1/2 in x 8.701 * [backup-simplify]: Simplify -1/2 into -1/2 8.701 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 8.701 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 8.701 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 8.701 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.701 * [taylor]: Taking taylor expansion of 1 in x 8.701 * [backup-simplify]: Simplify 1 into 1 8.701 * [taylor]: Taking taylor expansion of 1 in x 8.701 * [backup-simplify]: Simplify 1 into 1 8.701 * [taylor]: Taking taylor expansion of (* x x) in x 8.701 * [taylor]: Taking taylor expansion of x in x 8.701 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 1 into 1 8.702 * [taylor]: Taking taylor expansion of x in x 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 1 into 1 8.702 * [backup-simplify]: Simplify (* 1 1) into 1 8.702 * [backup-simplify]: Simplify (* 0 0) into 0 8.703 * [backup-simplify]: Simplify (+ 1 0) into 1 8.703 * [backup-simplify]: Simplify (sqrt 1) into 1 8.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.705 * [backup-simplify]: Simplify (+ 0 0) into 0 8.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.706 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.706 * [backup-simplify]: Simplify -1/2 into -1/2 8.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.707 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.709 * [backup-simplify]: Simplify (+ 0 1) into 1 8.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 1/4 8.711 * [backup-simplify]: Simplify 1/4 into 1/4 8.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.714 * [backup-simplify]: Simplify (+ 0 0) into 0 8.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 1/4 (/ 0 1)))) into 0 8.717 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.720 * [backup-simplify]: Simplify (+ 0 0) into 0 8.721 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into -3/16 8.723 * [backup-simplify]: Simplify -3/16 into -3/16 8.723 * [backup-simplify]: Simplify (+ (* -3/16 (pow x 4)) (+ (* 1/4 (pow x 2)) -1/2)) into (- (* 1/4 (pow x 2)) (+ (* 3/16 (pow x 4)) 1/2)) 8.724 * [backup-simplify]: Simplify (/ -1/2 (hypot 1 (/ 1 x))) into (/ -1/2 (hypot 1 (/ 1 x))) 8.724 * [approximate]: Taking taylor expansion of (/ -1/2 (hypot 1 (/ 1 x))) in (x) around 0 8.724 * [taylor]: Taking taylor expansion of (/ -1/2 (hypot 1 (/ 1 x))) in x 8.724 * [taylor]: Taking taylor expansion of -1/2 in x 8.724 * [backup-simplify]: Simplify -1/2 into -1/2 8.724 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.724 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.724 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.724 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.724 * [taylor]: Taking taylor expansion of 1 in x 8.724 * [backup-simplify]: Simplify 1 into 1 8.724 * [taylor]: Taking taylor expansion of 1 in x 8.724 * [backup-simplify]: Simplify 1 into 1 8.724 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.724 * [taylor]: Taking taylor expansion of x in x 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 1 into 1 8.724 * [backup-simplify]: Simplify (/ 1 1) into 1 8.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.725 * [taylor]: Taking taylor expansion of x in x 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [backup-simplify]: Simplify (/ 1 1) into 1 8.725 * [backup-simplify]: Simplify (* 1 1) into 1 8.726 * [backup-simplify]: Simplify (+ 0 1) into 1 8.726 * [backup-simplify]: Simplify (sqrt 1) into 1 8.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.730 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.730 * [taylor]: Taking taylor expansion of (/ -1/2 (hypot 1 (/ 1 x))) in x 8.730 * [taylor]: Taking taylor expansion of -1/2 in x 8.730 * [backup-simplify]: Simplify -1/2 into -1/2 8.730 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 8.730 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 8.730 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 8.730 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.730 * [taylor]: Taking taylor expansion of 1 in x 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [taylor]: Taking taylor expansion of 1 in x 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 8.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.730 * [taylor]: Taking taylor expansion of x in x 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (/ 1 1) into 1 8.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.731 * [taylor]: Taking taylor expansion of x in x 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (/ 1 1) into 1 8.732 * [backup-simplify]: Simplify (* 1 1) into 1 8.732 * [backup-simplify]: Simplify (+ 0 1) into 1 8.732 * [backup-simplify]: Simplify (sqrt 1) into 1 8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.735 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.736 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.736 * [backup-simplify]: Simplify -1/2 into -1/2 8.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify (* 1 1) into 1 8.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.740 * [backup-simplify]: Simplify (+ 1 0) into 1 8.742 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 1/4 8.743 * [backup-simplify]: Simplify 1/4 into 1/4 8.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.753 * [backup-simplify]: Simplify (+ 0 0) into 0 8.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 1/4 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.762 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into -3/16 8.764 * [backup-simplify]: Simplify -3/16 into -3/16 8.764 * [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)))) 8.765 * [backup-simplify]: Simplify (/ -1/2 (hypot 1 (/ 1 (- x)))) into (/ -1/2 (hypot 1 (/ -1 x))) 8.765 * [approximate]: Taking taylor expansion of (/ -1/2 (hypot 1 (/ -1 x))) in (x) around 0 8.765 * [taylor]: Taking taylor expansion of (/ -1/2 (hypot 1 (/ -1 x))) in x 8.765 * [taylor]: Taking taylor expansion of -1/2 in x 8.765 * [backup-simplify]: Simplify -1/2 into -1/2 8.765 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.765 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.765 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.765 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.765 * [taylor]: Taking taylor expansion of 1 in x 8.765 * [backup-simplify]: Simplify 1 into 1 8.765 * [taylor]: Taking taylor expansion of 1 in x 8.765 * [backup-simplify]: Simplify 1 into 1 8.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.765 * [taylor]: Taking taylor expansion of -1 in x 8.765 * [backup-simplify]: Simplify -1 into -1 8.765 * [taylor]: Taking taylor expansion of x in x 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ -1 1) into -1 8.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.766 * [taylor]: Taking taylor expansion of -1 in x 8.766 * [backup-simplify]: Simplify -1 into -1 8.766 * [taylor]: Taking taylor expansion of x in x 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ -1 1) into -1 8.767 * [backup-simplify]: Simplify (* -1 -1) into 1 8.767 * [backup-simplify]: Simplify (+ 0 1) into 1 8.767 * [backup-simplify]: Simplify (sqrt 1) into 1 8.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.770 * [backup-simplify]: Simplify (+ 0 0) into 0 8.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.771 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.771 * [taylor]: Taking taylor expansion of (/ -1/2 (hypot 1 (/ -1 x))) in x 8.771 * [taylor]: Taking taylor expansion of -1/2 in x 8.771 * [backup-simplify]: Simplify -1/2 into -1/2 8.772 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 8.772 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 8.772 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 8.772 * [taylor]: Taking taylor expansion of (* 1 1) in x 8.772 * [taylor]: Taking taylor expansion of 1 in x 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of 1 in x 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 8.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.772 * [taylor]: Taking taylor expansion of -1 in x 8.772 * [backup-simplify]: Simplify -1 into -1 8.772 * [taylor]: Taking taylor expansion of x in x 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (/ -1 1) into -1 8.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.772 * [taylor]: Taking taylor expansion of -1 in x 8.772 * [backup-simplify]: Simplify -1 into -1 8.772 * [taylor]: Taking taylor expansion of x in x 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [backup-simplify]: Simplify (/ -1 1) into -1 8.773 * [backup-simplify]: Simplify (* -1 -1) into 1 8.774 * [backup-simplify]: Simplify (+ 0 1) into 1 8.774 * [backup-simplify]: Simplify (sqrt 1) into 1 8.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.777 * [backup-simplify]: Simplify (+ 0 0) into 0 8.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.778 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.778 * [backup-simplify]: Simplify -1/2 into -1/2 8.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (* 1 1) into 1 8.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.783 * [backup-simplify]: Simplify (+ 1 0) into 1 8.784 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 8.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 1/4 8.785 * [backup-simplify]: Simplify 1/4 into 1/4 8.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.789 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.789 * [backup-simplify]: Simplify (+ 0 0) into 0 8.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 8.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 1/4 (/ 0 1)))) into 0 8.793 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.797 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 8.797 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 8.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into -3/16 8.801 * [backup-simplify]: Simplify -3/16 into -3/16 8.801 * [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)))) 8.801 * * * [progress]: simplifying candidates 8.801 * * * * [progress]: [ 1 / 139 ] simplifiying candidate # 8.801 * * * * [progress]: [ 2 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 3 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 4 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 5 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 6 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 7 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 8 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 9 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 10 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 11 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 12 / 139 ] simplifiying candidate # 8.802 * * * * [progress]: [ 13 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 14 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 15 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 16 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 17 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 18 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 19 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 20 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 21 / 139 ] simplifiying candidate #real (real->posit16 (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8))) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.803 * * * * [progress]: [ 22 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 23 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 24 / 139 ] simplifiying candidate # 8.803 * * * * [progress]: [ 25 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 26 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 27 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 28 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 29 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 30 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 31 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 32 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 33 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 34 / 139 ] simplifiying candidate # 8.804 * * * * [progress]: [ 35 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 36 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 37 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 38 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 39 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 40 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 41 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 42 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 43 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 44 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 45 / 139 ] simplifiying candidate # 8.805 * * * * [progress]: [ 46 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 47 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 48 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 49 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 50 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 51 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 52 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 53 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 54 / 139 ] simplifiying candidate #real (real->posit16 (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.806 * * * * [progress]: [ 55 / 139 ] simplifiying candidate # 8.806 * * * * [progress]: [ 56 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 57 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 58 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 59 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 60 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 61 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 62 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 63 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 64 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 65 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 66 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 67 / 139 ] simplifiying candidate # 8.807 * * * * [progress]: [ 68 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 69 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 70 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 71 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 72 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 73 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 74 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 75 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 76 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 77 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 78 / 139 ] simplifiying candidate # 8.808 * * * * [progress]: [ 79 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 80 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 81 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 82 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 83 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 84 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 85 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 86 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 87 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 88 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 89 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 90 / 139 ] simplifiying candidate # 8.809 * * * * [progress]: [ 91 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 92 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 93 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 94 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 95 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 96 / 139 ] simplifiying candidate #real (real->posit16 (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)))) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.810 * * * * [progress]: [ 97 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 98 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 99 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 100 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 101 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 102 / 139 ] simplifiying candidate # 8.810 * * * * [progress]: [ 103 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 104 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 105 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 106 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 107 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 108 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 109 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 110 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 111 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 112 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 113 / 139 ] simplifiying candidate # 8.811 * * * * [progress]: [ 114 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 115 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 116 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 117 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 118 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 119 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 120 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 121 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 122 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 123 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 124 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 125 / 139 ] simplifiying candidate # 8.812 * * * * [progress]: [ 126 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 127 / 139 ] simplifiying candidate #real (real->posit16 (/ -1/2 (hypot 1 x)))) 1) 1/4))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 8.813 * * * * [progress]: [ 128 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 129 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 130 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 131 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 132 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 133 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 134 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 135 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 136 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 137 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 138 / 139 ] simplifiying candidate # 8.813 * * * * [progress]: [ 139 / 139 ] simplifiying candidate # 8.817 * [simplify]: Simplifying: (fma (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1) (- (* (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8))))) (fma (- (cbrt 1/8)) (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt 1/8) (* (cbrt 1/8) (cbrt 1/8)))) (fma (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1) (- (* (sqrt 1/8) (sqrt 1/8)))) (fma (- (sqrt 1/8)) (sqrt 1/8) (* (sqrt 1/8) (sqrt 1/8))) (fma (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1) (- (* 1/8 1))) (fma (- 1/8) 1 (* 1/8 1)) (expm1 (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (log1p (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (- 1/8) (/ (exp (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1))) (exp 1/8)) (log (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (exp (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (* (cbrt (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (cbrt (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8))) (cbrt (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (* (* (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (sqrt (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (sqrt (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (- (pow (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 3) (pow 1/8 3)) (+ (* (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1))) (+ (* 1/8 1/8) (* (* (* (+ (/ -1/2 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(/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)))) (- (log (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (log (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)))) (log (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)))) (exp (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)))) (/ (* (* (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8)) (* (* (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4))) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)))) (* (cbrt (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)))) (cbrt (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4))))) (cbrt (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1)) (+ (/ -1/2 (hypot 1 x)) 1)) 1/8) (fma (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 (hypot 1 x)) 1) (fma 1/2 (+ (/ -1/2 (hypot 1 x)) 1) 1/4)))) (* (* (/ (- (* (* (+ (/ -1/2 (hypot 1 x)) 1) (+ (/ -1/2 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11557 9.788 * * [simplify]: Extracting #4: cost 455 inf + 43003 9.819 * * [simplify]: Extracting #5: cost 159 inf + 115266 9.855 * * [simplify]: Extracting #6: cost 23 inf + 166628 9.899 * * [simplify]: Extracting #7: cost 0 inf + 177327 9.949 * * [simplify]: Extracting #8: cost 0 inf + 177247 10.014 * [simplify]: Simplified to: (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8) 0 (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8) 0 (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8) 0 (expm1 (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (log1p (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) -1/8 (exp (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (log (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 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(/ -1/2 (hypot 1 x))) (log (/ -1/2 (hypot 1 x))) (exp (/ -1/2 (hypot 1 x))) (/ (/ (/ -1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) (* (cbrt (/ -1/2 (hypot 1 x))) (cbrt (/ -1/2 (hypot 1 x)))) (cbrt (/ -1/2 (hypot 1 x))) (/ (/ (/ -1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) (sqrt (/ -1/2 (hypot 1 x))) (sqrt (/ -1/2 (hypot 1 x))) 1/2 (- (hypot 1 x)) (* (/ (cbrt -1/2) (cbrt (hypot 1 x))) (/ (cbrt -1/2) (cbrt (hypot 1 x)))) (/ (cbrt -1/2) (cbrt (hypot 1 x))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (hypot 1 x))) (/ (cbrt -1/2) (sqrt (hypot 1 x))) (* (cbrt -1/2) (cbrt -1/2)) (/ (cbrt -1/2) (hypot 1 x)) (/ (sqrt -1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt -1/2) (cbrt (hypot 1 x))) (/ (sqrt -1/2) (sqrt (hypot 1 x))) (/ (sqrt -1/2) (sqrt (hypot 1 x))) (sqrt -1/2) (/ (sqrt -1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ -1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ -1/2 (sqrt (hypot 1 x))) 1 (/ -1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) -1/2) (/ -1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ -1/2 (sqrt (hypot 1 x))) -1/2 (/ (hypot 1 x) (cbrt -1/2)) (/ (hypot 1 x) (sqrt -1/2)) (/ (hypot 1 x) -1/2) (real->posit16 (/ -1/2 (hypot 1 x))) (- (* 3/16 (* x x)) (fma (* (* x x) (* x x)) 3/64 (* 1/128 (* (* x (* x x)) (* x (* x x)))))) (+ (/ 3/4 (* x x)) (- 7/8 (/ 3/2 x))) (+ (+ (/ 3/2 x) 7/8) (/ 3/4 (* x x))) (- (fma 1/4 (* x x) (* 5/32 (* (* x (* x x)) (* x (* x x))))) (* (* 3/16 (* x x)) (* x x))) (+ (/ (/ 1/4 x) (* x x)) (- 1/2 (/ 1/2 x))) (+ 1/2 (- (/ 1/2 x) (/ (/ 1/4 x) (* x x)))) (fma (* x x) 1/4 (- 1/4 (* (* 1/8 (* x x)) (* x x)))) (+ (/ 1/4 (* x x)) (- 1 (/ 1 x))) (+ (/ 1/4 (* x x)) (+ (/ 1 x) 1)) (- (* (* x x) 1/4) (fma (* (* x x) (* x x)) 3/16 1/2)) (- (- (/ (/ 1/4 x) (* x x)) (/ 1/2 x)) (/ 3/16 (pow x 5))) (- (+ (/ 1/2 x) (/ 3/16 (pow x 5))) (/ (/ 1/4 x) (* x x))) 10.060 * * * [progress]: adding candidates to table 12.244 * * [progress]: iteration 4 / 4 12.244 * * * [progress]: picking best candidate 12.290 * * * * [pick]: Picked # 12.291 * * * [progress]: localizing error 12.347 * * * [progress]: generating rewritten candidates 12.347 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 12.347 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.359 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 12.366 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 12.413 * * * [progress]: generating series expansions 12.413 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 12.413 * [backup-simplify]: Simplify (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8) into (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) 12.413 * [approximate]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) in (x) around 0 12.413 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) in x 12.413 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) -1/8) 12.413 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 12.413 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 12.413 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.413 * [taylor]: Taking taylor expansion of 1 in x 12.413 * [backup-simplify]: Simplify 1 into 1 12.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.414 * [taylor]: Taking taylor expansion of 1/2 in x 12.414 * [backup-simplify]: Simplify 1/2 into 1/2 12.414 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.414 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.414 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.414 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.414 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.414 * [taylor]: Taking taylor expansion of 1 in x 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [taylor]: Taking taylor expansion of 1 in x 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [taylor]: Taking taylor expansion of (* x x) in x 12.414 * [taylor]: Taking taylor expansion of x in x 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [taylor]: Taking taylor expansion of x in x 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 1 into 1 12.415 * [backup-simplify]: Simplify (* 1 1) into 1 12.415 * [backup-simplify]: Simplify (* 0 0) into 0 12.416 * [backup-simplify]: Simplify (+ 1 0) into 1 12.416 * [backup-simplify]: Simplify (sqrt 1) into 1 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.417 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.418 * [backup-simplify]: Simplify (+ 0 0) into 0 12.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.419 * [backup-simplify]: Simplify (/ 1 1) into 1 12.419 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.420 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.420 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.420 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.420 * [taylor]: Taking taylor expansion of 1 in x 12.420 * [backup-simplify]: Simplify 1 into 1 12.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.420 * [taylor]: Taking taylor expansion of 1/2 in x 12.420 * [backup-simplify]: Simplify 1/2 into 1/2 12.420 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.420 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.420 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.420 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.420 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.420 * [taylor]: Taking taylor expansion of 1 in x 12.420 * [backup-simplify]: Simplify 1 into 1 12.420 * [taylor]: Taking taylor expansion of 1 in x 12.420 * [backup-simplify]: Simplify 1 into 1 12.421 * [taylor]: Taking taylor expansion of (* x x) in x 12.421 * [taylor]: Taking taylor expansion of x in x 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [taylor]: Taking taylor expansion of x in x 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [backup-simplify]: Simplify (* 1 1) into 1 12.421 * [backup-simplify]: Simplify (* 0 0) into 0 12.422 * [backup-simplify]: Simplify (+ 1 0) into 1 12.422 * [backup-simplify]: Simplify (sqrt 1) into 1 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.423 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.424 * [backup-simplify]: Simplify (+ 0 0) into 0 12.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.425 * [backup-simplify]: Simplify (/ 1 1) into 1 12.425 * [taylor]: Taking taylor expansion of -1/8 in x 12.425 * [backup-simplify]: Simplify -1/8 into -1/8 12.425 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) in x 12.425 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) -1/8) 12.425 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 12.425 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 12.425 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.425 * [taylor]: Taking taylor expansion of 1 in x 12.425 * [backup-simplify]: Simplify 1 into 1 12.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.425 * [taylor]: Taking taylor expansion of 1/2 in x 12.425 * [backup-simplify]: Simplify 1/2 into 1/2 12.425 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.425 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.426 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.426 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.426 * [taylor]: Taking taylor expansion of 1 in x 12.426 * [backup-simplify]: Simplify 1 into 1 12.426 * [taylor]: Taking taylor expansion of 1 in x 12.426 * [backup-simplify]: Simplify 1 into 1 12.426 * [taylor]: Taking taylor expansion of (* x x) in x 12.426 * [taylor]: Taking taylor expansion of x in x 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.426 * [taylor]: Taking taylor expansion of x in x 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.426 * [backup-simplify]: Simplify (* 1 1) into 1 12.427 * [backup-simplify]: Simplify (* 0 0) into 0 12.427 * [backup-simplify]: Simplify (+ 1 0) into 1 12.427 * [backup-simplify]: Simplify (sqrt 1) into 1 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.429 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.429 * [backup-simplify]: Simplify (+ 0 0) into 0 12.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.430 * [backup-simplify]: Simplify (/ 1 1) into 1 12.431 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.431 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.431 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.432 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.432 * [taylor]: Taking taylor expansion of 1 in x 12.432 * [backup-simplify]: Simplify 1 into 1 12.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.432 * [taylor]: Taking taylor expansion of 1/2 in x 12.432 * [backup-simplify]: Simplify 1/2 into 1/2 12.432 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.432 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.432 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.432 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.432 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.432 * [taylor]: Taking taylor expansion of 1 in x 12.432 * [backup-simplify]: Simplify 1 into 1 12.432 * [taylor]: Taking taylor expansion of 1 in x 12.432 * [backup-simplify]: Simplify 1 into 1 12.432 * [taylor]: Taking taylor expansion of (* x x) in x 12.432 * [taylor]: Taking taylor expansion of x in x 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify 1 into 1 12.432 * [taylor]: Taking taylor expansion of x in x 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify 1 into 1 12.433 * [backup-simplify]: Simplify (* 1 1) into 1 12.433 * [backup-simplify]: Simplify (* 0 0) into 0 12.433 * [backup-simplify]: Simplify (+ 1 0) into 1 12.434 * [backup-simplify]: Simplify (sqrt 1) into 1 12.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.434 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.435 * [backup-simplify]: Simplify (+ 0 0) into 0 12.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.435 * [backup-simplify]: Simplify (/ 1 1) into 1 12.435 * [taylor]: Taking taylor expansion of -1/8 in x 12.435 * [backup-simplify]: Simplify -1/8 into -1/8 12.436 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.436 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.436 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.437 * [backup-simplify]: Simplify (* 1/4 1/2) into 1/8 12.437 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.438 * [backup-simplify]: Simplify (- 0) into 0 12.438 * [backup-simplify]: Simplify (+ 0 0) into 0 12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.439 * [backup-simplify]: Simplify (- 0) into 0 12.440 * [backup-simplify]: Simplify (+ 0 0) into 0 12.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 12.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1/2)) into 0 12.441 * [backup-simplify]: Simplify (+ 0 0) into 0 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.442 * [backup-simplify]: Simplify (+ 0 1) into 1 12.443 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.444 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.444 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.444 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.446 * [backup-simplify]: Simplify (+ 0 1) into 1 12.447 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.448 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.448 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.448 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.449 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 12.450 * [backup-simplify]: Simplify (+ (* 1/4 1/4) (+ (* 0 0) (* 1/4 1/2))) into 3/16 12.450 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 12.450 * [backup-simplify]: Simplify 3/16 into 3/16 12.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.452 * [backup-simplify]: Simplify (+ 0 0) into 0 12.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.454 * [backup-simplify]: Simplify (- 0) into 0 12.455 * [backup-simplify]: Simplify (+ 0 0) into 0 12.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.456 * [backup-simplify]: Simplify (+ 0 0) into 0 12.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.459 * [backup-simplify]: Simplify (- 0) into 0 12.459 * [backup-simplify]: Simplify (+ 0 0) into 0 12.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 12.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 12.460 * [backup-simplify]: Simplify (+ 0 0) into 0 12.460 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.462 * [backup-simplify]: Simplify (+ 0 0) into 0 12.463 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.465 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.465 * [backup-simplify]: Simplify (- 3/16) into -3/16 12.465 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 12.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.468 * [backup-simplify]: Simplify (+ 0 0) into 0 12.470 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.473 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.474 * [backup-simplify]: Simplify (- 3/16) into -3/16 12.474 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 12.476 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 12.478 * [backup-simplify]: Simplify (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -1/8 1/2))))) into -3/64 12.478 * [backup-simplify]: Simplify (+ -3/64 0) into -3/64 12.478 * [backup-simplify]: Simplify -3/64 into -3/64 12.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.481 * [backup-simplify]: Simplify (+ 0 0) into 0 12.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 12.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 12.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 12.488 * [backup-simplify]: Simplify (- 0) into 0 12.488 * [backup-simplify]: Simplify (+ 0 0) into 0 12.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.492 * [backup-simplify]: Simplify (+ 0 0) into 0 12.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 12.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 12.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 12.505 * [backup-simplify]: Simplify (- 0) into 0 12.505 * [backup-simplify]: Simplify (+ 0 0) into 0 12.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -3/16) (+ (* 1/4 0) (+ (* 0 1/4) (+ (* -3/16 0) (* 0 1/2)))))) into 0 12.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -3/16) (+ (* 1/4 0) (+ (* 0 1/4) (+ (* -1/8 0) (* 0 1/2)))))) into 0 12.510 * [backup-simplify]: Simplify (+ 0 0) into 0 12.510 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.512 * [backup-simplify]: Simplify (+ 0 0) into 0 12.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 12.514 * [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 12.515 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 12.516 * [backup-simplify]: Simplify (- -5/32) into 5/32 12.516 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 12.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.518 * [backup-simplify]: Simplify (+ 0 0) into 0 12.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 12.521 * [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 12.522 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 12.522 * [backup-simplify]: Simplify (- -5/32) into 5/32 12.523 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 12.524 * [backup-simplify]: Simplify (+ (* 1/2 5/32) (+ (* 0 0) (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* -3/16 1/4) (+ (* 0 0) (* 5/32 1/2))))))) into 1/16 12.525 * [backup-simplify]: Simplify (+ (* 1/4 5/32) (+ (* 0 0) (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* -1/8 1/4) (+ (* 0 0) (* 1/16 1/2))))))) into -1/128 12.526 * [backup-simplify]: Simplify (+ -1/128 0) into -1/128 12.526 * [backup-simplify]: Simplify -1/128 into -1/128 12.526 * [backup-simplify]: Simplify (+ (* -1/128 (pow x 6)) (+ (* -3/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (* 3/16 (pow x 2)) (+ (* 3/64 (pow x 4)) (* 1/128 (pow x 6)))) 12.526 * [backup-simplify]: Simplify (fma (* (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) -1/8) into (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) 12.526 * [approximate]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) in (x) around 0 12.526 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) in x 12.526 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) -1/8) 12.526 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.526 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 12.526 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.526 * [taylor]: Taking taylor expansion of 1 in x 12.526 * [backup-simplify]: Simplify 1 into 1 12.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.526 * [taylor]: Taking taylor expansion of 1/2 in x 12.526 * [backup-simplify]: Simplify 1/2 into 1/2 12.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.526 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.526 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.526 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.526 * [taylor]: Taking taylor expansion of 1 in x 12.526 * [backup-simplify]: Simplify 1 into 1 12.527 * [taylor]: Taking taylor expansion of 1 in x 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.527 * [taylor]: Taking taylor expansion of x in x 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [backup-simplify]: Simplify (/ 1 1) into 1 12.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.527 * [taylor]: Taking taylor expansion of x in x 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [backup-simplify]: Simplify (/ 1 1) into 1 12.527 * [backup-simplify]: Simplify (* 1 1) into 1 12.528 * [backup-simplify]: Simplify (+ 0 1) into 1 12.528 * [backup-simplify]: Simplify (sqrt 1) into 1 12.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.530 * [backup-simplify]: Simplify (+ 0 0) into 0 12.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.530 * [backup-simplify]: Simplify (/ 1 1) into 1 12.531 * [backup-simplify]: Simplify (+ 1 0) into 1 12.531 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.531 * [taylor]: Taking taylor expansion of 1 in x 12.531 * [backup-simplify]: Simplify 1 into 1 12.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.531 * [taylor]: Taking taylor expansion of 1/2 in x 12.531 * [backup-simplify]: Simplify 1/2 into 1/2 12.531 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.531 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.531 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.531 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.531 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.531 * [taylor]: Taking taylor expansion of 1 in x 12.531 * [backup-simplify]: Simplify 1 into 1 12.531 * [taylor]: Taking taylor expansion of 1 in x 12.531 * [backup-simplify]: Simplify 1 into 1 12.531 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.531 * [taylor]: Taking taylor expansion of x in x 12.531 * [backup-simplify]: Simplify 0 into 0 12.531 * [backup-simplify]: Simplify 1 into 1 12.531 * [backup-simplify]: Simplify (/ 1 1) into 1 12.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.531 * [taylor]: Taking taylor expansion of x in x 12.531 * [backup-simplify]: Simplify 0 into 0 12.531 * [backup-simplify]: Simplify 1 into 1 12.532 * [backup-simplify]: Simplify (/ 1 1) into 1 12.532 * [backup-simplify]: Simplify (* 1 1) into 1 12.532 * [backup-simplify]: Simplify (+ 0 1) into 1 12.532 * [backup-simplify]: Simplify (sqrt 1) into 1 12.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.534 * [backup-simplify]: Simplify (+ 0 0) into 0 12.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.534 * [backup-simplify]: Simplify (/ 1 1) into 1 12.534 * [taylor]: Taking taylor expansion of -1/8 in x 12.534 * [backup-simplify]: Simplify -1/8 into -1/8 12.534 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) in x 12.535 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) -1/8) 12.535 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.535 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 12.535 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.535 * [taylor]: Taking taylor expansion of 1 in x 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.535 * [taylor]: Taking taylor expansion of 1/2 in x 12.535 * [backup-simplify]: Simplify 1/2 into 1/2 12.535 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.535 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.535 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.535 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.535 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.535 * [taylor]: Taking taylor expansion of 1 in x 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [taylor]: Taking taylor expansion of 1 in x 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.535 * [taylor]: Taking taylor expansion of x in x 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [backup-simplify]: Simplify (/ 1 1) into 1 12.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.535 * [taylor]: Taking taylor expansion of x in x 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [backup-simplify]: Simplify (/ 1 1) into 1 12.536 * [backup-simplify]: Simplify (* 1 1) into 1 12.536 * [backup-simplify]: Simplify (+ 0 1) into 1 12.536 * [backup-simplify]: Simplify (sqrt 1) into 1 12.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.538 * [backup-simplify]: Simplify (+ 0 0) into 0 12.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.539 * [backup-simplify]: Simplify (/ 1 1) into 1 12.539 * [backup-simplify]: Simplify (+ 1 0) into 1 12.539 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.540 * [taylor]: Taking taylor expansion of 1 in x 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.540 * [taylor]: Taking taylor expansion of 1/2 in x 12.540 * [backup-simplify]: Simplify 1/2 into 1/2 12.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.540 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.540 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.540 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.540 * [taylor]: Taking taylor expansion of 1 in x 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [taylor]: Taking taylor expansion of 1 in x 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.540 * [taylor]: Taking taylor expansion of x in x 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify (/ 1 1) into 1 12.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.540 * [taylor]: Taking taylor expansion of x in x 12.540 * [backup-simplify]: Simplify 0 into 0 12.541 * [backup-simplify]: Simplify 1 into 1 12.541 * [backup-simplify]: Simplify (/ 1 1) into 1 12.541 * [backup-simplify]: Simplify (* 1 1) into 1 12.542 * [backup-simplify]: Simplify (+ 0 1) into 1 12.542 * [backup-simplify]: Simplify (sqrt 1) into 1 12.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.545 * [backup-simplify]: Simplify (+ 0 0) into 0 12.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.546 * [backup-simplify]: Simplify (/ 1 1) into 1 12.546 * [taylor]: Taking taylor expansion of -1/8 in x 12.546 * [backup-simplify]: Simplify -1/8 into -1/8 12.547 * [backup-simplify]: Simplify (* 1 1) into 1 12.547 * [backup-simplify]: Simplify (+ 1 0) into 1 12.547 * [backup-simplify]: Simplify (* 1 1) into 1 12.548 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 12.548 * [backup-simplify]: Simplify 7/8 into 7/8 12.548 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.549 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.549 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.550 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.550 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.550 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.551 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 12.552 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1 1)) into -3/2 12.552 * [backup-simplify]: Simplify (+ -3/2 0) into -3/2 12.552 * [backup-simplify]: Simplify -3/2 into -3/2 12.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.554 * [backup-simplify]: Simplify (- 0) into 0 12.554 * [backup-simplify]: Simplify (+ 0 0) into 0 12.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.555 * [backup-simplify]: Simplify (- 0) into 0 12.555 * [backup-simplify]: Simplify (+ 0 0) into 0 12.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 12.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1/2) (* 1/4 1))) into 3/4 12.557 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 12.557 * [backup-simplify]: Simplify 3/4 into 3/4 12.557 * [backup-simplify]: Simplify (+ (* 3/4 (pow (/ 1 x) 2)) (+ (* -3/2 (/ 1 x)) 7/8)) into (- (+ (* 3/4 (/ 1 (pow x 2))) 7/8) (* 3/2 (/ 1 x))) 12.557 * [backup-simplify]: Simplify (fma (* (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x)))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) -1/8) into (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) 12.557 * [approximate]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) in (x) around 0 12.557 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) in x 12.558 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) -1/8) 12.558 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 12.558 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 12.558 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -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 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.558 * [taylor]: Taking taylor expansion of 1/2 in x 12.558 * [backup-simplify]: Simplify 1/2 into 1/2 12.558 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.558 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.558 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.558 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.558 * [taylor]: Taking taylor expansion of (* 1 1) 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 1 in x 12.558 * [backup-simplify]: Simplify 1 into 1 12.558 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 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 12.558 * [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 12.559 * [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 12.559 * [backup-simplify]: Simplify (sqrt 1) into 1 12.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.561 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.561 * [backup-simplify]: Simplify (+ 0 0) into 0 12.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.562 * [backup-simplify]: Simplify (/ 1 1) into 1 12.562 * [backup-simplify]: Simplify (+ 1 0) into 1 12.562 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 12.562 * [taylor]: Taking taylor expansion of 1 in x 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.562 * [taylor]: Taking taylor expansion of 1/2 in x 12.562 * [backup-simplify]: Simplify 1/2 into 1/2 12.562 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.562 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.562 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.562 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.562 * [taylor]: Taking taylor expansion of 1 in x 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [taylor]: Taking taylor expansion of 1 in x 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.562 * [taylor]: Taking taylor expansion of -1 in x 12.562 * [backup-simplify]: Simplify -1 into -1 12.562 * [taylor]: Taking taylor expansion of x in x 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 1 into 1 12.563 * [backup-simplify]: Simplify (/ -1 1) into -1 12.563 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.563 * [taylor]: Taking taylor expansion of -1 in x 12.563 * [backup-simplify]: Simplify -1 into -1 12.563 * [taylor]: Taking taylor expansion of x in x 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify 1 into 1 12.563 * [backup-simplify]: Simplify (/ -1 1) into -1 12.563 * [backup-simplify]: Simplify (* -1 -1) into 1 12.563 * [backup-simplify]: Simplify (+ 0 1) into 1 12.564 * [backup-simplify]: Simplify (sqrt 1) into 1 12.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.565 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.565 * [backup-simplify]: Simplify (+ 0 0) into 0 12.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.566 * [backup-simplify]: Simplify (/ 1 1) into 1 12.566 * [taylor]: Taking taylor expansion of -1/8 in x 12.566 * [backup-simplify]: Simplify -1/8 into -1/8 12.566 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) in x 12.566 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) -1/8) 12.566 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 12.566 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 12.566 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 12.566 * [taylor]: Taking taylor expansion of 1 in x 12.566 * [backup-simplify]: Simplify 1 into 1 12.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.566 * [taylor]: Taking taylor expansion of 1/2 in x 12.566 * [backup-simplify]: Simplify 1/2 into 1/2 12.566 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.566 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.566 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.566 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.566 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.566 * [taylor]: Taking taylor expansion of 1 in x 12.566 * [backup-simplify]: Simplify 1 into 1 12.566 * [taylor]: Taking taylor expansion of 1 in x 12.566 * [backup-simplify]: Simplify 1 into 1 12.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.566 * [taylor]: Taking taylor expansion of -1 in x 12.566 * [backup-simplify]: Simplify -1 into -1 12.566 * [taylor]: Taking taylor expansion of x in x 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 1 into 1 12.567 * [backup-simplify]: Simplify (/ -1 1) into -1 12.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.567 * [taylor]: Taking taylor expansion of -1 in x 12.567 * [backup-simplify]: Simplify -1 into -1 12.567 * [taylor]: Taking taylor expansion of x in x 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 1 into 1 12.567 * [backup-simplify]: Simplify (/ -1 1) into -1 12.567 * [backup-simplify]: Simplify (* -1 -1) into 1 12.568 * [backup-simplify]: Simplify (+ 0 1) into 1 12.568 * [backup-simplify]: Simplify (sqrt 1) into 1 12.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.569 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.569 * [backup-simplify]: Simplify (+ 0 0) into 0 12.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.570 * [backup-simplify]: Simplify (/ 1 1) into 1 12.570 * [backup-simplify]: Simplify (+ 1 0) into 1 12.570 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 12.570 * [taylor]: Taking taylor expansion of 1 in x 12.570 * [backup-simplify]: Simplify 1 into 1 12.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.571 * [taylor]: Taking taylor expansion of 1/2 in x 12.571 * [backup-simplify]: Simplify 1/2 into 1/2 12.571 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.571 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.571 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.571 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.571 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.571 * [taylor]: Taking taylor expansion of 1 in x 12.571 * [backup-simplify]: Simplify 1 into 1 12.571 * [taylor]: Taking taylor expansion of 1 in x 12.571 * [backup-simplify]: Simplify 1 into 1 12.571 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.571 * [taylor]: Taking taylor expansion of -1 in x 12.571 * [backup-simplify]: Simplify -1 into -1 12.571 * [taylor]: Taking taylor expansion of x in x 12.571 * [backup-simplify]: Simplify 0 into 0 12.571 * [backup-simplify]: Simplify 1 into 1 12.571 * [backup-simplify]: Simplify (/ -1 1) into -1 12.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.571 * [taylor]: Taking taylor expansion of -1 in x 12.571 * [backup-simplify]: Simplify -1 into -1 12.571 * [taylor]: Taking taylor expansion of x in x 12.571 * [backup-simplify]: Simplify 0 into 0 12.571 * [backup-simplify]: Simplify 1 into 1 12.571 * [backup-simplify]: Simplify (/ -1 1) into -1 12.572 * [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 12.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.574 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.574 * [backup-simplify]: Simplify (+ 0 0) into 0 12.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.574 * [backup-simplify]: Simplify (/ 1 1) into 1 12.575 * [taylor]: Taking taylor expansion of -1/8 in x 12.575 * [backup-simplify]: Simplify -1/8 into -1/8 12.575 * [backup-simplify]: Simplify (* 1 1) into 1 12.575 * [backup-simplify]: Simplify (+ 1 0) into 1 12.575 * [backup-simplify]: Simplify (* 1 1) into 1 12.576 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 12.576 * [backup-simplify]: Simplify 7/8 into 7/8 12.576 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.576 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.577 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.577 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.577 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.577 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.578 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 12.578 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1 1)) into -3/2 12.579 * [backup-simplify]: Simplify (+ -3/2 0) into -3/2 12.579 * [backup-simplify]: Simplify -3/2 into -3/2 12.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.580 * [backup-simplify]: Simplify (- 0) into 0 12.580 * [backup-simplify]: Simplify (+ 0 0) into 0 12.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.581 * [backup-simplify]: Simplify (- 0) into 0 12.581 * [backup-simplify]: Simplify (+ 0 0) into 0 12.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 12.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1/2) (* 1/4 1))) into 3/4 12.584 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 12.584 * [backup-simplify]: Simplify 3/4 into 3/4 12.585 * [backup-simplify]: Simplify (+ (* 3/4 (pow (/ 1 (- x)) 2)) (+ (* -3/2 (/ 1 (- x))) 7/8)) into (+ (* 3/4 (/ 1 (pow x 2))) (+ (* 3/2 (/ 1 x)) 7/8)) 12.585 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.585 * [backup-simplify]: Simplify (/ 1 (/ (fma (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 x))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8))) into (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) 12.586 * [approximate]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) in (x) around 0 12.586 * [taylor]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) in x 12.586 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) in x 12.586 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) -1/8) 12.586 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 12.586 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 12.586 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.586 * [taylor]: Taking taylor expansion of 1 in x 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.586 * [taylor]: Taking taylor expansion of 1/2 in x 12.586 * [backup-simplify]: Simplify 1/2 into 1/2 12.586 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.586 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.586 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.586 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.586 * [taylor]: Taking taylor expansion of 1 in x 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [taylor]: Taking taylor expansion of 1 in x 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [taylor]: Taking taylor expansion of (* x x) in x 12.586 * [taylor]: Taking taylor expansion of x in x 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [taylor]: Taking taylor expansion of x in x 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.587 * [backup-simplify]: Simplify (* 1 1) into 1 12.587 * [backup-simplify]: Simplify (* 0 0) into 0 12.588 * [backup-simplify]: Simplify (+ 1 0) into 1 12.588 * [backup-simplify]: Simplify (sqrt 1) into 1 12.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.590 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.591 * [backup-simplify]: Simplify (+ 0 0) into 0 12.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.592 * [backup-simplify]: Simplify (/ 1 1) into 1 12.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.593 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.593 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.593 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.593 * [taylor]: Taking taylor expansion of 1 in x 12.593 * [backup-simplify]: Simplify 1 into 1 12.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.593 * [taylor]: Taking taylor expansion of 1/2 in x 12.593 * [backup-simplify]: Simplify 1/2 into 1/2 12.594 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.594 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.594 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.594 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.594 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.594 * [taylor]: Taking taylor expansion of 1 in x 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [taylor]: Taking taylor expansion of 1 in x 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [taylor]: Taking taylor expansion of (* x x) in x 12.594 * [taylor]: Taking taylor expansion of x in x 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [taylor]: Taking taylor expansion of x in x 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [backup-simplify]: Simplify (* 1 1) into 1 12.595 * [backup-simplify]: Simplify (* 0 0) into 0 12.595 * [backup-simplify]: Simplify (+ 1 0) into 1 12.595 * [backup-simplify]: Simplify (sqrt 1) into 1 12.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.597 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.597 * [backup-simplify]: Simplify (+ 0 0) into 0 12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.598 * [backup-simplify]: Simplify (/ 1 1) into 1 12.598 * [taylor]: Taking taylor expansion of -1/8 in x 12.598 * [backup-simplify]: Simplify -1/8 into -1/8 12.598 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) in x 12.598 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) 12.598 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 12.598 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.598 * [taylor]: Taking taylor expansion of 1 in x 12.598 * [backup-simplify]: Simplify 1 into 1 12.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.599 * [taylor]: Taking taylor expansion of 1/2 in x 12.599 * [backup-simplify]: Simplify 1/2 into 1/2 12.599 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.599 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.599 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.599 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.599 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.599 * [taylor]: Taking taylor expansion of 1 in x 12.599 * [backup-simplify]: Simplify 1 into 1 12.599 * [taylor]: Taking taylor expansion of 1 in x 12.599 * [backup-simplify]: Simplify 1 into 1 12.599 * [taylor]: Taking taylor expansion of (* x x) in x 12.599 * [taylor]: Taking taylor expansion of x in x 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.599 * [taylor]: Taking taylor expansion of x in x 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.600 * [backup-simplify]: Simplify (* 1 1) into 1 12.600 * [backup-simplify]: Simplify (* 0 0) into 0 12.601 * [backup-simplify]: Simplify (+ 1 0) into 1 12.601 * [backup-simplify]: Simplify (sqrt 1) into 1 12.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.602 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.603 * [backup-simplify]: Simplify (+ 0 0) into 0 12.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.604 * [backup-simplify]: Simplify (/ 1 1) into 1 12.604 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.604 * [taylor]: Taking taylor expansion of 1 in x 12.604 * [backup-simplify]: Simplify 1 into 1 12.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.604 * [taylor]: Taking taylor expansion of 1/2 in x 12.604 * [backup-simplify]: Simplify 1/2 into 1/2 12.604 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.604 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.604 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.604 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.604 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.604 * [taylor]: Taking taylor expansion of 1 in x 12.604 * [backup-simplify]: Simplify 1 into 1 12.604 * [taylor]: Taking taylor expansion of 1 in x 12.604 * [backup-simplify]: Simplify 1 into 1 12.604 * [taylor]: Taking taylor expansion of (* x x) in x 12.604 * [taylor]: Taking taylor expansion of x in x 12.604 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify 1 into 1 12.604 * [taylor]: Taking taylor expansion of x in x 12.604 * [backup-simplify]: Simplify 0 into 0 12.605 * [backup-simplify]: Simplify 1 into 1 12.605 * [backup-simplify]: Simplify (* 1 1) into 1 12.605 * [backup-simplify]: Simplify (* 0 0) into 0 12.606 * [backup-simplify]: Simplify (+ 1 0) into 1 12.606 * [backup-simplify]: Simplify (sqrt 1) into 1 12.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.607 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.608 * [backup-simplify]: Simplify (+ 0 0) into 0 12.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.609 * [backup-simplify]: Simplify (/ 1 1) into 1 12.609 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4) in x 12.609 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) 1/4) 12.609 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 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 (* 1/2 (/ 1 (hypot 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 (* 1/2 (/ 1 (hypot 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 x)) in x 12.609 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.609 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.609 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 12.610 * [backup-simplify]: Simplify 1 into 1 12.610 * [taylor]: Taking taylor expansion of (* x x) in x 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 * [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 12.610 * [backup-simplify]: Simplify (* 0 0) into 0 12.616 * [backup-simplify]: Simplify (+ 1 0) into 1 12.617 * [backup-simplify]: Simplify (sqrt 1) into 1 12.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.618 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.619 * [backup-simplify]: Simplify (+ 0 0) into 0 12.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.620 * [backup-simplify]: Simplify (/ 1 1) into 1 12.620 * [taylor]: Taking taylor expansion of 1/4 in x 12.620 * [backup-simplify]: Simplify 1/4 into 1/4 12.620 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.621 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.621 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.621 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.622 * [backup-simplify]: Simplify (* 1/4 1/2) into 1/8 12.622 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 12.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.624 * [backup-simplify]: Simplify (- 0) into 0 12.624 * [backup-simplify]: Simplify (+ 0 0) into 0 12.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.626 * [backup-simplify]: Simplify (- 0) into 0 12.627 * [backup-simplify]: Simplify (+ 0 0) into 0 12.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 12.628 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1/2)) into 0 12.628 * [backup-simplify]: Simplify (+ 0 0) into 0 12.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.630 * [backup-simplify]: Simplify (+ 0 1) into 1 12.631 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.632 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.632 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.632 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.634 * [backup-simplify]: Simplify (+ 0 1) into 1 12.634 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.635 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.636 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.636 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.637 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 12.637 * [backup-simplify]: Simplify (+ (* 1/4 1/4) (+ (* 0 0) (* 1/4 1/2))) into 3/16 12.637 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 12.638 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.638 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.638 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.638 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.639 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.639 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.639 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.639 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.640 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.640 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.640 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.640 * [backup-simplify]: Simplify (+ 1/4 1/4) into 1/2 12.641 * [backup-simplify]: Simplify (+ 1/4 1/2) into 3/4 12.641 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 12.641 * [taylor]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4))) in x 12.641 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) in x 12.641 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) -1/8) 12.641 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 12.641 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 12.641 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.641 * [taylor]: Taking taylor expansion of 1 in x 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.641 * [taylor]: Taking taylor expansion of 1/2 in x 12.641 * [backup-simplify]: Simplify 1/2 into 1/2 12.641 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.641 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.641 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.641 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.641 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.641 * [taylor]: Taking taylor expansion of 1 in x 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [taylor]: Taking taylor expansion of 1 in x 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [taylor]: Taking taylor expansion of (* x x) in x 12.641 * [taylor]: Taking taylor expansion of x in x 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify 1 into 1 12.641 * [taylor]: Taking taylor expansion of x in x 12.641 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify 1 into 1 12.642 * [backup-simplify]: Simplify (* 1 1) into 1 12.642 * [backup-simplify]: Simplify (* 0 0) into 0 12.642 * [backup-simplify]: Simplify (+ 1 0) into 1 12.642 * [backup-simplify]: Simplify (sqrt 1) into 1 12.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.643 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.643 * [backup-simplify]: Simplify (+ 0 0) into 0 12.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.644 * [backup-simplify]: Simplify (/ 1 1) into 1 12.644 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.645 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.645 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.645 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.645 * [taylor]: Taking taylor expansion of 1 in x 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.645 * [taylor]: Taking taylor expansion of 1/2 in x 12.645 * [backup-simplify]: Simplify 1/2 into 1/2 12.645 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.645 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.645 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.645 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.645 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.645 * [taylor]: Taking taylor expansion of 1 in x 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [taylor]: Taking taylor expansion of 1 in x 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [taylor]: Taking taylor expansion of (* x x) in x 12.645 * [taylor]: Taking taylor expansion of x in x 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [taylor]: Taking taylor expansion of x in x 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [backup-simplify]: Simplify (* 1 1) into 1 12.646 * [backup-simplify]: Simplify (* 0 0) into 0 12.646 * [backup-simplify]: Simplify (+ 1 0) into 1 12.646 * [backup-simplify]: Simplify (sqrt 1) into 1 12.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.647 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.647 * [backup-simplify]: Simplify (+ 0 0) into 0 12.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.648 * [backup-simplify]: Simplify (/ 1 1) into 1 12.648 * [taylor]: Taking taylor expansion of -1/8 in x 12.648 * [backup-simplify]: Simplify -1/8 into -1/8 12.648 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) in x 12.648 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) 12.648 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 12.648 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.648 * [taylor]: Taking taylor expansion of 1 in x 12.648 * [backup-simplify]: Simplify 1 into 1 12.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.648 * [taylor]: Taking taylor expansion of 1/2 in x 12.648 * [backup-simplify]: Simplify 1/2 into 1/2 12.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.648 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.648 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.648 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.648 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.648 * [taylor]: Taking taylor expansion of 1 in x 12.648 * [backup-simplify]: Simplify 1 into 1 12.648 * [taylor]: Taking taylor expansion of 1 in x 12.648 * [backup-simplify]: Simplify 1 into 1 12.648 * [taylor]: Taking taylor expansion of (* x x) in x 12.648 * [taylor]: Taking taylor expansion of x in x 12.648 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify 1 into 1 12.648 * [taylor]: Taking taylor expansion of x in x 12.648 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify 1 into 1 12.649 * [backup-simplify]: Simplify (* 1 1) into 1 12.649 * [backup-simplify]: Simplify (* 0 0) into 0 12.650 * [backup-simplify]: Simplify (+ 1 0) into 1 12.650 * [backup-simplify]: Simplify (sqrt 1) into 1 12.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.651 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.651 * [backup-simplify]: Simplify (+ 0 0) into 0 12.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.652 * [backup-simplify]: Simplify (/ 1 1) into 1 12.652 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.652 * [taylor]: Taking taylor expansion of 1 in x 12.652 * [backup-simplify]: Simplify 1 into 1 12.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.652 * [taylor]: Taking taylor expansion of 1/2 in x 12.652 * [backup-simplify]: Simplify 1/2 into 1/2 12.652 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.652 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.652 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.652 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.652 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.652 * [taylor]: Taking taylor expansion of 1 in x 12.652 * [backup-simplify]: Simplify 1 into 1 12.652 * [taylor]: Taking taylor expansion of 1 in x 12.652 * [backup-simplify]: Simplify 1 into 1 12.652 * [taylor]: Taking taylor expansion of (* x x) in x 12.652 * [taylor]: Taking taylor expansion of x in x 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify 1 into 1 12.652 * [taylor]: Taking taylor expansion of x in x 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify 1 into 1 12.652 * [backup-simplify]: Simplify (* 1 1) into 1 12.652 * [backup-simplify]: Simplify (* 0 0) into 0 12.653 * [backup-simplify]: Simplify (+ 1 0) into 1 12.653 * [backup-simplify]: Simplify (sqrt 1) into 1 12.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.654 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.654 * [backup-simplify]: Simplify (+ 0 0) into 0 12.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.655 * [backup-simplify]: Simplify (/ 1 1) into 1 12.655 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4) in x 12.655 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) 1/4) 12.655 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 12.655 * [taylor]: Taking taylor expansion of 1/2 in x 12.655 * [backup-simplify]: Simplify 1/2 into 1/2 12.655 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 12.655 * [taylor]: Taking taylor expansion of 1 in x 12.655 * [backup-simplify]: Simplify 1 into 1 12.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 12.655 * [taylor]: Taking taylor expansion of 1/2 in x 12.655 * [backup-simplify]: Simplify 1/2 into 1/2 12.655 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 12.655 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 12.655 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 12.655 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 12.655 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.655 * [taylor]: Taking taylor expansion of 1 in x 12.655 * [backup-simplify]: Simplify 1 into 1 12.655 * [taylor]: Taking taylor expansion of 1 in x 12.655 * [backup-simplify]: Simplify 1 into 1 12.655 * [taylor]: Taking taylor expansion of (* x x) in x 12.655 * [taylor]: Taking taylor expansion of x in x 12.655 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify 1 into 1 12.655 * [taylor]: Taking taylor expansion of x in x 12.655 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify 1 into 1 12.655 * [backup-simplify]: Simplify (* 1 1) into 1 12.656 * [backup-simplify]: Simplify (* 0 0) into 0 12.656 * [backup-simplify]: Simplify (+ 1 0) into 1 12.656 * [backup-simplify]: Simplify (sqrt 1) into 1 12.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.657 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.657 * [backup-simplify]: Simplify (+ 0 0) into 0 12.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.658 * [backup-simplify]: Simplify (/ 1 1) into 1 12.658 * [taylor]: Taking taylor expansion of 1/4 in x 12.658 * [backup-simplify]: Simplify 1/4 into 1/4 12.658 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.659 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.659 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.659 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.659 * [backup-simplify]: Simplify (* 1/4 1/2) into 1/8 12.660 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 12.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.661 * [backup-simplify]: Simplify (- 0) into 0 12.661 * [backup-simplify]: Simplify (+ 0 0) into 0 12.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.663 * [backup-simplify]: Simplify (- 0) into 0 12.663 * [backup-simplify]: Simplify (+ 0 0) into 0 12.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 12.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1/2)) into 0 12.664 * [backup-simplify]: Simplify (+ 0 0) into 0 12.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.665 * [backup-simplify]: Simplify (+ 0 1) into 1 12.666 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.667 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.667 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.668 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.669 * [backup-simplify]: Simplify (+ 0 1) into 1 12.670 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.671 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.671 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.671 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.672 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 12.673 * [backup-simplify]: Simplify (+ (* 1/4 1/4) (+ (* 0 0) (* 1/4 1/2))) into 3/16 12.673 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 12.673 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.673 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.674 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.674 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.674 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.674 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.675 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.675 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.675 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 12.676 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 12.676 * [backup-simplify]: Simplify (+ 1/4 1/4) into 1/2 12.676 * [backup-simplify]: Simplify (+ 1/4 1/2) into 3/4 12.676 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 12.677 * [backup-simplify]: Simplify 1/4 into 1/4 12.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.678 * [backup-simplify]: Simplify (+ 0 0) into 0 12.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.682 * [backup-simplify]: Simplify (- 0) into 0 12.682 * [backup-simplify]: Simplify (+ 0 0) into 0 12.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.683 * [backup-simplify]: Simplify (+ 0 0) into 0 12.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.686 * [backup-simplify]: Simplify (- 0) into 0 12.686 * [backup-simplify]: Simplify (+ 0 0) into 0 12.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 12.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 12.688 * [backup-simplify]: Simplify (+ 0 0) into 0 12.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.689 * [backup-simplify]: Simplify (- 0) into 0 12.689 * [backup-simplify]: Simplify (+ 0 0) into 0 12.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.690 * [backup-simplify]: Simplify (- 0) into 0 12.691 * [backup-simplify]: Simplify (+ 0 0) into 0 12.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 12.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.692 * [backup-simplify]: Simplify (- 0) into 0 12.693 * [backup-simplify]: Simplify (+ 0 0) into 0 12.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 12.693 * [backup-simplify]: Simplify (+ 0 0) into 0 12.693 * [backup-simplify]: Simplify (+ 0 0) into 0 12.694 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)))) into 0 12.694 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.696 * [backup-simplify]: Simplify (+ 0 0) into 0 12.696 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.698 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.698 * [backup-simplify]: Simplify (- 3/16) into -3/16 12.699 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 12.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.700 * [backup-simplify]: Simplify (+ 0 0) into 0 12.701 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.703 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.703 * [backup-simplify]: Simplify (- 3/16) into -3/16 12.704 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 12.704 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 12.705 * [backup-simplify]: Simplify (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -1/8 1/2))))) into -3/64 12.706 * [backup-simplify]: Simplify (+ -3/64 0) into -3/64 12.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.711 * [backup-simplify]: Simplify (+ 0 1) into 1 12.712 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.713 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.714 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.714 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.715 * [backup-simplify]: Simplify (+ 0 1) into 1 12.716 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.717 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.717 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.718 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.718 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 12.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.720 * [backup-simplify]: Simplify (+ 0 1) into 1 12.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.722 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.722 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.722 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.723 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 0 1/2))) into 1/8 12.723 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.723 * [backup-simplify]: Simplify (+ 1/4 1/8) into 3/8 12.724 * [backup-simplify]: Simplify (- (/ -3/64 3/4) (+ (* 1/4 (/ 3/8 3/4)) (* 0 (/ 0 3/4)))) into -3/16 12.724 * [backup-simplify]: Simplify -3/16 into -3/16 12.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.727 * [backup-simplify]: Simplify (+ 0 0) into 0 12.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 12.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 12.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 12.735 * [backup-simplify]: Simplify (- 0) into 0 12.735 * [backup-simplify]: Simplify (+ 0 0) into 0 12.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.740 * [backup-simplify]: Simplify (+ 0 0) into 0 12.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 12.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 12.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 12.747 * [backup-simplify]: Simplify (- 0) into 0 12.747 * [backup-simplify]: Simplify (+ 0 0) into 0 12.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -3/16) (+ (* 1/4 0) (+ (* 0 1/4) (+ (* -3/16 0) (* 0 1/2)))))) into 0 12.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -3/16) (+ (* 1/4 0) (+ (* 0 1/4) (+ (* -1/8 0) (* 0 1/2)))))) into 0 12.752 * [backup-simplify]: Simplify (+ 0 0) into 0 12.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.755 * [backup-simplify]: Simplify (+ 0 0) into 0 12.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.759 * [backup-simplify]: Simplify (- 0) into 0 12.759 * [backup-simplify]: Simplify (+ 0 0) into 0 12.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.761 * [backup-simplify]: Simplify (+ 0 0) into 0 12.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.766 * [backup-simplify]: Simplify (- 0) into 0 12.766 * [backup-simplify]: Simplify (+ 0 0) into 0 12.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 12.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.770 * [backup-simplify]: Simplify (+ 0 0) into 0 12.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 12.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 12.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.774 * [backup-simplify]: Simplify (- 0) into 0 12.775 * [backup-simplify]: Simplify (+ 0 0) into 0 12.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 0 0) (* 0 1/2)))) into 0 12.776 * [backup-simplify]: Simplify (+ 0 0) into 0 12.777 * [backup-simplify]: Simplify (+ 0 0) into 0 12.778 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)) (* 0 (/ 3/8 3/4)) (* -3/16 (/ 0 3/4)))) into 0 12.778 * [backup-simplify]: Simplify 0 into 0 12.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.782 * [backup-simplify]: Simplify (+ 0 0) into 0 12.783 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 12.786 * [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 12.788 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 12.789 * [backup-simplify]: Simplify (- -5/32) into 5/32 12.789 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 12.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.792 * [backup-simplify]: Simplify (+ 0 0) into 0 12.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 12.796 * [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 12.799 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 12.799 * [backup-simplify]: Simplify (- -5/32) into 5/32 12.800 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 12.802 * [backup-simplify]: Simplify (+ (* 1/2 5/32) (+ (* 0 0) (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* -3/16 1/4) (+ (* 0 0) (* 5/32 1/2))))))) into 1/16 12.805 * [backup-simplify]: Simplify (+ (* 1/4 5/32) (+ (* 0 0) (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* -1/8 1/4) (+ (* 0 0) (* 1/16 1/2))))))) into -1/128 12.805 * [backup-simplify]: Simplify (+ -1/128 0) into -1/128 12.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.808 * [backup-simplify]: Simplify (+ 0 0) into 0 12.810 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.814 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.814 * [backup-simplify]: Simplify (- 3/16) into -3/16 12.815 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 12.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.818 * [backup-simplify]: Simplify (+ 0 0) into 0 12.819 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.823 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.824 * [backup-simplify]: Simplify (- 3/16) into -3/16 12.824 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 12.826 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 12.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.828 * [backup-simplify]: Simplify (+ 0 0) into 0 12.830 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 12.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 12.833 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 12.834 * [backup-simplify]: Simplify (- 3/16) into -3/16 12.834 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 12.836 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 0 1/4) (+ (* 0 0) (* 0 1/2))))) into -3/32 12.836 * [backup-simplify]: Simplify (+ -3/32 0) into -3/32 12.837 * [backup-simplify]: Simplify (+ -1/8 -3/32) into -7/32 12.839 * [backup-simplify]: Simplify (- (/ -1/128 3/4) (+ (* 1/4 (/ -7/32 3/4)) (* 0 (/ 0 3/4)) (* -3/16 (/ 3/8 3/4)) (* 0 (/ 0 3/4)))) into 5/32 12.839 * [backup-simplify]: Simplify 5/32 into 5/32 12.839 * [backup-simplify]: Simplify (+ (* 5/32 (pow x 6)) (+ (* -3/16 (pow x 4)) (* 1/4 (pow x 2)))) into (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) 12.840 * [backup-simplify]: Simplify (/ 1 (/ (fma (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) -1/8))) into (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) 12.840 * [approximate]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) in (x) around 0 12.840 * [taylor]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) in x 12.840 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) in x 12.841 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) -1/8) 12.841 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.841 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 12.841 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.841 * [taylor]: Taking taylor expansion of 1 in x 12.841 * [backup-simplify]: Simplify 1 into 1 12.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.841 * [taylor]: Taking taylor expansion of 1/2 in x 12.841 * [backup-simplify]: Simplify 1/2 into 1/2 12.841 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.841 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.841 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.841 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.841 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.841 * [taylor]: Taking taylor expansion of 1 in x 12.841 * [backup-simplify]: Simplify 1 into 1 12.841 * [taylor]: Taking taylor expansion of 1 in x 12.841 * [backup-simplify]: Simplify 1 into 1 12.841 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.841 * [taylor]: Taking taylor expansion of x in x 12.841 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify 1 into 1 12.842 * [backup-simplify]: Simplify (/ 1 1) into 1 12.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.842 * [taylor]: Taking taylor expansion of x in x 12.842 * [backup-simplify]: Simplify 0 into 0 12.842 * [backup-simplify]: Simplify 1 into 1 12.842 * [backup-simplify]: Simplify (/ 1 1) into 1 12.842 * [backup-simplify]: Simplify (* 1 1) into 1 12.843 * [backup-simplify]: Simplify (+ 0 1) into 1 12.843 * [backup-simplify]: Simplify (sqrt 1) into 1 12.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.852 * [backup-simplify]: Simplify (+ 0 0) into 0 12.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.853 * [backup-simplify]: Simplify (/ 1 1) into 1 12.854 * [backup-simplify]: Simplify (+ 1 0) into 1 12.854 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.854 * [taylor]: Taking taylor expansion of 1 in x 12.854 * [backup-simplify]: Simplify 1 into 1 12.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.854 * [taylor]: Taking taylor expansion of 1/2 in x 12.854 * [backup-simplify]: Simplify 1/2 into 1/2 12.854 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.854 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.854 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.854 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.854 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.854 * [taylor]: Taking taylor expansion of 1 in x 12.854 * [backup-simplify]: Simplify 1 into 1 12.854 * [taylor]: Taking taylor expansion of 1 in x 12.854 * [backup-simplify]: Simplify 1 into 1 12.854 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.854 * [taylor]: Taking taylor expansion of x in x 12.854 * [backup-simplify]: Simplify 0 into 0 12.854 * [backup-simplify]: Simplify 1 into 1 12.855 * [backup-simplify]: Simplify (/ 1 1) into 1 12.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.855 * [taylor]: Taking taylor expansion of x in x 12.855 * [backup-simplify]: Simplify 0 into 0 12.855 * [backup-simplify]: Simplify 1 into 1 12.855 * [backup-simplify]: Simplify (/ 1 1) into 1 12.856 * [backup-simplify]: Simplify (* 1 1) into 1 12.856 * [backup-simplify]: Simplify (+ 0 1) into 1 12.856 * [backup-simplify]: Simplify (sqrt 1) into 1 12.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.859 * [backup-simplify]: Simplify (+ 0 0) into 0 12.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.860 * [backup-simplify]: Simplify (/ 1 1) into 1 12.860 * [taylor]: Taking taylor expansion of -1/8 in x 12.860 * [backup-simplify]: Simplify -1/8 into -1/8 12.860 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) in x 12.860 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) 12.860 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.860 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.860 * [taylor]: Taking taylor expansion of 1 in x 12.860 * [backup-simplify]: Simplify 1 into 1 12.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.861 * [taylor]: Taking taylor expansion of 1/2 in x 12.861 * [backup-simplify]: Simplify 1/2 into 1/2 12.861 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.861 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.861 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.861 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.861 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.861 * [taylor]: Taking taylor expansion of 1 in x 12.861 * [backup-simplify]: Simplify 1 into 1 12.861 * [taylor]: Taking taylor expansion of 1 in x 12.861 * [backup-simplify]: Simplify 1 into 1 12.861 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.861 * [taylor]: Taking taylor expansion of x in x 12.861 * [backup-simplify]: Simplify 0 into 0 12.861 * [backup-simplify]: Simplify 1 into 1 12.861 * [backup-simplify]: Simplify (/ 1 1) into 1 12.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.861 * [taylor]: Taking taylor expansion of x in x 12.861 * [backup-simplify]: Simplify 0 into 0 12.861 * [backup-simplify]: Simplify 1 into 1 12.862 * [backup-simplify]: Simplify (/ 1 1) into 1 12.862 * [backup-simplify]: Simplify (* 1 1) into 1 12.863 * [backup-simplify]: Simplify (+ 0 1) into 1 12.863 * [backup-simplify]: Simplify (sqrt 1) into 1 12.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.866 * [backup-simplify]: Simplify (+ 0 0) into 0 12.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.867 * [backup-simplify]: Simplify (/ 1 1) into 1 12.867 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.867 * [taylor]: Taking taylor expansion of 1 in x 12.867 * [backup-simplify]: Simplify 1 into 1 12.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.868 * [taylor]: Taking taylor expansion of 1/2 in x 12.868 * [backup-simplify]: Simplify 1/2 into 1/2 12.868 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.868 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.868 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.868 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.868 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.868 * [taylor]: Taking taylor expansion of 1 in x 12.868 * [backup-simplify]: Simplify 1 into 1 12.868 * [taylor]: Taking taylor expansion of 1 in x 12.868 * [backup-simplify]: Simplify 1 into 1 12.868 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.868 * [taylor]: Taking taylor expansion of x in x 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 1 into 1 12.868 * [backup-simplify]: Simplify (/ 1 1) into 1 12.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.868 * [taylor]: Taking taylor expansion of x in x 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 1 into 1 12.869 * [backup-simplify]: Simplify (/ 1 1) into 1 12.869 * [backup-simplify]: Simplify (* 1 1) into 1 12.870 * [backup-simplify]: Simplify (+ 0 1) into 1 12.870 * [backup-simplify]: Simplify (sqrt 1) into 1 12.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.873 * [backup-simplify]: Simplify (+ 0 0) into 0 12.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.874 * [backup-simplify]: Simplify (/ 1 1) into 1 12.874 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4) in x 12.874 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) 1/4) 12.874 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.874 * [taylor]: Taking taylor expansion of 1/2 in x 12.874 * [backup-simplify]: Simplify 1/2 into 1/2 12.874 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.874 * [taylor]: Taking taylor expansion of 1 in x 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.874 * [taylor]: Taking taylor expansion of 1/2 in x 12.874 * [backup-simplify]: Simplify 1/2 into 1/2 12.874 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.874 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.874 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.874 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.874 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.874 * [taylor]: Taking taylor expansion of 1 in x 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [taylor]: Taking taylor expansion of 1 in x 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.874 * [taylor]: Taking taylor expansion of x in x 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [backup-simplify]: Simplify 1 into 1 12.875 * [backup-simplify]: Simplify (/ 1 1) into 1 12.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.875 * [taylor]: Taking taylor expansion of x in x 12.875 * [backup-simplify]: Simplify 0 into 0 12.875 * [backup-simplify]: Simplify 1 into 1 12.875 * [backup-simplify]: Simplify (/ 1 1) into 1 12.876 * [backup-simplify]: Simplify (* 1 1) into 1 12.876 * [backup-simplify]: Simplify (+ 0 1) into 1 12.876 * [backup-simplify]: Simplify (sqrt 1) into 1 12.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.879 * [backup-simplify]: Simplify (+ 0 0) into 0 12.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.880 * [backup-simplify]: Simplify (/ 1 1) into 1 12.880 * [taylor]: Taking taylor expansion of 1/4 in x 12.880 * [backup-simplify]: Simplify 1/4 into 1/4 12.880 * [backup-simplify]: Simplify (* 1 1) into 1 12.880 * [backup-simplify]: Simplify (+ 1 0) into 1 12.881 * [backup-simplify]: Simplify (* 1 1) into 1 12.881 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 12.882 * [backup-simplify]: Simplify (+ 1 0) into 1 12.882 * [backup-simplify]: Simplify (+ 1 0) into 1 12.882 * [backup-simplify]: Simplify (* 1 1) into 1 12.883 * [backup-simplify]: Simplify (+ 1 0) into 1 12.884 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.884 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 12.885 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 12.885 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 12.885 * [taylor]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4))) in x 12.885 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) in x 12.885 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) -1/8) 12.886 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.886 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 12.886 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.886 * [taylor]: Taking taylor expansion of 1 in x 12.886 * [backup-simplify]: Simplify 1 into 1 12.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.886 * [taylor]: Taking taylor expansion of 1/2 in x 12.886 * [backup-simplify]: Simplify 1/2 into 1/2 12.886 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.886 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.886 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.886 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.886 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.886 * [taylor]: Taking taylor expansion of 1 in x 12.886 * [backup-simplify]: Simplify 1 into 1 12.886 * [taylor]: Taking taylor expansion of 1 in x 12.886 * [backup-simplify]: Simplify 1 into 1 12.886 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.886 * [taylor]: Taking taylor expansion of x in x 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 1 into 1 12.887 * [backup-simplify]: Simplify (/ 1 1) into 1 12.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.887 * [taylor]: Taking taylor expansion of x in x 12.887 * [backup-simplify]: Simplify 0 into 0 12.887 * [backup-simplify]: Simplify 1 into 1 12.887 * [backup-simplify]: Simplify (/ 1 1) into 1 12.888 * [backup-simplify]: Simplify (* 1 1) into 1 12.888 * [backup-simplify]: Simplify (+ 0 1) into 1 12.889 * [backup-simplify]: Simplify (sqrt 1) into 1 12.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.892 * [backup-simplify]: Simplify (+ 0 0) into 0 12.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.893 * [backup-simplify]: Simplify (/ 1 1) into 1 12.893 * [backup-simplify]: Simplify (+ 1 0) into 1 12.893 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.893 * [taylor]: Taking taylor expansion of 1 in x 12.893 * [backup-simplify]: Simplify 1 into 1 12.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.894 * [taylor]: Taking taylor expansion of 1/2 in x 12.894 * [backup-simplify]: Simplify 1/2 into 1/2 12.894 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.894 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.894 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.894 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.894 * [taylor]: Taking taylor expansion of 1 in x 12.894 * [backup-simplify]: Simplify 1 into 1 12.894 * [taylor]: Taking taylor expansion of 1 in x 12.894 * [backup-simplify]: Simplify 1 into 1 12.894 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.894 * [taylor]: Taking taylor expansion of x in x 12.894 * [backup-simplify]: Simplify 0 into 0 12.894 * [backup-simplify]: Simplify 1 into 1 12.894 * [backup-simplify]: Simplify (/ 1 1) into 1 12.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.894 * [taylor]: Taking taylor expansion of x in x 12.895 * [backup-simplify]: Simplify 0 into 0 12.895 * [backup-simplify]: Simplify 1 into 1 12.895 * [backup-simplify]: Simplify (/ 1 1) into 1 12.895 * [backup-simplify]: Simplify (* 1 1) into 1 12.896 * [backup-simplify]: Simplify (+ 0 1) into 1 12.896 * [backup-simplify]: Simplify (sqrt 1) into 1 12.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.899 * [backup-simplify]: Simplify (+ 0 0) into 0 12.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.900 * [backup-simplify]: Simplify (/ 1 1) into 1 12.900 * [taylor]: Taking taylor expansion of -1/8 in x 12.900 * [backup-simplify]: Simplify -1/8 into -1/8 12.900 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) in x 12.900 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) 12.900 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.900 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.900 * [taylor]: Taking taylor expansion of 1 in x 12.900 * [backup-simplify]: Simplify 1 into 1 12.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.901 * [taylor]: Taking taylor expansion of 1/2 in x 12.901 * [backup-simplify]: Simplify 1/2 into 1/2 12.901 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.901 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.901 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.901 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.901 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.901 * [taylor]: Taking taylor expansion of 1 in x 12.901 * [backup-simplify]: Simplify 1 into 1 12.901 * [taylor]: Taking taylor expansion of 1 in x 12.901 * [backup-simplify]: Simplify 1 into 1 12.901 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.901 * [taylor]: Taking taylor expansion of x in x 12.901 * [backup-simplify]: Simplify 0 into 0 12.901 * [backup-simplify]: Simplify 1 into 1 12.901 * [backup-simplify]: Simplify (/ 1 1) into 1 12.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.901 * [taylor]: Taking taylor expansion of x in x 12.902 * [backup-simplify]: Simplify 0 into 0 12.902 * [backup-simplify]: Simplify 1 into 1 12.902 * [backup-simplify]: Simplify (/ 1 1) into 1 12.902 * [backup-simplify]: Simplify (* 1 1) into 1 12.903 * [backup-simplify]: Simplify (+ 0 1) into 1 12.903 * [backup-simplify]: Simplify (sqrt 1) into 1 12.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.906 * [backup-simplify]: Simplify (+ 0 0) into 0 12.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.907 * [backup-simplify]: Simplify (/ 1 1) into 1 12.907 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.908 * [taylor]: Taking taylor expansion of 1 in x 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.908 * [taylor]: Taking taylor expansion of 1/2 in x 12.908 * [backup-simplify]: Simplify 1/2 into 1/2 12.908 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.908 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.908 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.908 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.908 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.908 * [taylor]: Taking taylor expansion of 1 in x 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [taylor]: Taking taylor expansion of 1 in x 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.908 * [taylor]: Taking taylor expansion of x in x 12.908 * [backup-simplify]: Simplify 0 into 0 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [backup-simplify]: Simplify (/ 1 1) into 1 12.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.909 * [taylor]: Taking taylor expansion of x in x 12.909 * [backup-simplify]: Simplify 0 into 0 12.909 * [backup-simplify]: Simplify 1 into 1 12.909 * [backup-simplify]: Simplify (/ 1 1) into 1 12.909 * [backup-simplify]: Simplify (* 1 1) into 1 12.910 * [backup-simplify]: Simplify (+ 0 1) into 1 12.910 * [backup-simplify]: Simplify (sqrt 1) into 1 12.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.913 * [backup-simplify]: Simplify (+ 0 0) into 0 12.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.914 * [backup-simplify]: Simplify (/ 1 1) into 1 12.915 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4) in x 12.915 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) 1/4) 12.915 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 12.915 * [taylor]: Taking taylor expansion of 1/2 in x 12.915 * [backup-simplify]: Simplify 1/2 into 1/2 12.915 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 12.915 * [taylor]: Taking taylor expansion of 1 in x 12.915 * [backup-simplify]: Simplify 1 into 1 12.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 12.915 * [taylor]: Taking taylor expansion of 1/2 in x 12.915 * [backup-simplify]: Simplify 1/2 into 1/2 12.915 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 12.915 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 12.915 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 12.915 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 12.915 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.915 * [taylor]: Taking taylor expansion of 1 in x 12.915 * [backup-simplify]: Simplify 1 into 1 12.915 * [taylor]: Taking taylor expansion of 1 in x 12.915 * [backup-simplify]: Simplify 1 into 1 12.915 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 12.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.915 * [taylor]: Taking taylor expansion of x in x 12.915 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify 1 into 1 12.916 * [backup-simplify]: Simplify (/ 1 1) into 1 12.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.916 * [taylor]: Taking taylor expansion of x in x 12.916 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify 1 into 1 12.916 * [backup-simplify]: Simplify (/ 1 1) into 1 12.917 * [backup-simplify]: Simplify (* 1 1) into 1 12.917 * [backup-simplify]: Simplify (+ 0 1) into 1 12.918 * [backup-simplify]: Simplify (sqrt 1) into 1 12.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.921 * [backup-simplify]: Simplify (+ 0 0) into 0 12.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.922 * [backup-simplify]: Simplify (/ 1 1) into 1 12.922 * [taylor]: Taking taylor expansion of 1/4 in x 12.922 * [backup-simplify]: Simplify 1/4 into 1/4 12.922 * [backup-simplify]: Simplify (* 1 1) into 1 12.922 * [backup-simplify]: Simplify (+ 1 0) into 1 12.923 * [backup-simplify]: Simplify (* 1 1) into 1 12.923 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 12.924 * [backup-simplify]: Simplify (+ 1 0) into 1 12.924 * [backup-simplify]: Simplify (+ 1 0) into 1 12.924 * [backup-simplify]: Simplify (* 1 1) into 1 12.925 * [backup-simplify]: Simplify (+ 1 0) into 1 12.925 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.926 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 12.926 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 12.926 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 12.927 * [backup-simplify]: Simplify 1/2 into 1/2 12.927 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.928 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.928 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.928 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.929 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.929 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.930 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 12.930 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1 1)) into -3/2 12.930 * [backup-simplify]: Simplify (+ -3/2 0) into -3/2 12.931 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.931 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.931 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.931 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.932 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.932 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.932 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 12.933 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 12.933 * [backup-simplify]: Simplify (- 1/2) into -1/2 12.933 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 12.934 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1)) into -1/4 12.934 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 12.934 * [backup-simplify]: Simplify (+ -1 -1/4) into -5/4 12.935 * [backup-simplify]: Simplify (- (/ -3/2 7/4) (+ (* 1/2 (/ -5/4 7/4)))) into -1/2 12.935 * [backup-simplify]: Simplify -1/2 into -1/2 12.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.936 * [backup-simplify]: Simplify (- 0) into 0 12.936 * [backup-simplify]: Simplify (+ 0 0) into 0 12.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.937 * [backup-simplify]: Simplify (- 0) into 0 12.938 * [backup-simplify]: Simplify (+ 0 0) into 0 12.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 12.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1/2) (* 1/4 1))) into 3/4 12.939 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 12.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.940 * [backup-simplify]: Simplify (- 0) into 0 12.941 * [backup-simplify]: Simplify (+ 0 0) into 0 12.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.942 * [backup-simplify]: Simplify (- 0) into 0 12.942 * [backup-simplify]: Simplify (+ 0 0) into 0 12.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 12.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.944 * [backup-simplify]: Simplify (- 0) into 0 12.944 * [backup-simplify]: Simplify (+ 0 0) into 0 12.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (* 0 1))) into 0 12.945 * [backup-simplify]: Simplify (+ 0 0) into 0 12.945 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 12.946 * [backup-simplify]: Simplify (- (/ 3/4 7/4) (+ (* 1/2 (/ 1/4 7/4)) (* -1/2 (/ -5/4 7/4)))) into 0 12.946 * [backup-simplify]: Simplify 0 into 0 12.946 * [backup-simplify]: Simplify (* 1 1) into 1 12.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.948 * [backup-simplify]: Simplify (+ 1 0) into 1 12.949 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.950 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.950 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.950 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.951 * [backup-simplify]: Simplify (* 1 1) into 1 12.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.953 * [backup-simplify]: Simplify (+ 1 0) into 1 12.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.954 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.955 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.955 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.956 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1/2 0) (+ (* 0 -1/2) (* 1/4 1)))) into 1/2 12.957 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1 0) (+ (* 1/4 -1/2) (* 1/2 1)))) into 5/8 12.957 * [backup-simplify]: Simplify (+ 5/8 0) into 5/8 12.957 * [backup-simplify]: Simplify (* 1 1) into 1 12.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.961 * [backup-simplify]: Simplify (+ 1 0) into 1 12.962 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.964 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.965 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.965 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.966 * [backup-simplify]: Simplify (* 1 1) into 1 12.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.969 * [backup-simplify]: Simplify (+ 1 0) into 1 12.970 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.972 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.972 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.973 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.974 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1/2 0) (+ (* 0 -1/2) (* 1/4 1)))) into 1/2 12.975 * [backup-simplify]: Simplify (* 1 1) into 1 12.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.982 * [backup-simplify]: Simplify (+ 1 0) into 1 12.982 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 12.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 12.984 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 12.984 * [backup-simplify]: Simplify (- -1/4) into 1/4 12.984 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 12.985 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1)))) into 1/8 12.985 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 12.986 * [backup-simplify]: Simplify (+ 1/2 1/8) into 5/8 12.987 * [backup-simplify]: Simplify (- (/ 5/8 7/4) (+ (* 1/2 (/ 5/8 7/4)) (* -1/2 (/ 1/4 7/4)) (* 0 (/ -5/4 7/4)))) into 1/4 12.987 * [backup-simplify]: Simplify 1/4 into 1/4 12.987 * [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))) 12.987 * [backup-simplify]: Simplify (/ 1 (/ (fma (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x)))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) -1/8))) into (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) 12.987 * [approximate]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) in (x) around 0 12.987 * [taylor]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) in x 12.988 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) in x 12.988 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) -1/8) 12.988 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 12.988 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 12.988 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 12.988 * [taylor]: Taking taylor expansion of 1 in x 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.988 * [taylor]: Taking taylor expansion of 1/2 in x 12.988 * [backup-simplify]: Simplify 1/2 into 1/2 12.988 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.988 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.988 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.988 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.988 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.988 * [taylor]: Taking taylor expansion of 1 in x 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [taylor]: Taking taylor expansion of 1 in x 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.988 * [taylor]: Taking taylor expansion of -1 in x 12.988 * [backup-simplify]: Simplify -1 into -1 12.988 * [taylor]: Taking taylor expansion of x in x 12.988 * [backup-simplify]: Simplify 0 into 0 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [backup-simplify]: Simplify (/ -1 1) into -1 12.988 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.988 * [taylor]: Taking taylor expansion of -1 in x 12.988 * [backup-simplify]: Simplify -1 into -1 12.988 * [taylor]: Taking taylor expansion of x in x 12.988 * [backup-simplify]: Simplify 0 into 0 12.988 * [backup-simplify]: Simplify 1 into 1 12.989 * [backup-simplify]: Simplify (/ -1 1) into -1 12.989 * [backup-simplify]: Simplify (* -1 -1) into 1 12.989 * [backup-simplify]: Simplify (+ 0 1) into 1 12.989 * [backup-simplify]: Simplify (sqrt 1) into 1 12.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.991 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.991 * [backup-simplify]: Simplify (+ 0 0) into 0 12.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.992 * [backup-simplify]: Simplify (/ 1 1) into 1 12.992 * [backup-simplify]: Simplify (+ 1 0) into 1 12.992 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 12.992 * [taylor]: Taking taylor expansion of 1 in x 12.992 * [backup-simplify]: Simplify 1 into 1 12.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.992 * [taylor]: Taking taylor expansion of 1/2 in x 12.992 * [backup-simplify]: Simplify 1/2 into 1/2 12.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.992 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.992 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.992 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.992 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.992 * [taylor]: Taking taylor expansion of 1 in x 12.992 * [backup-simplify]: Simplify 1 into 1 12.992 * [taylor]: Taking taylor expansion of 1 in x 12.992 * [backup-simplify]: Simplify 1 into 1 12.992 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.992 * [taylor]: Taking taylor expansion of -1 in x 12.992 * [backup-simplify]: Simplify -1 into -1 12.992 * [taylor]: Taking taylor expansion of x in x 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify 1 into 1 12.993 * [backup-simplify]: Simplify (/ -1 1) into -1 12.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.993 * [taylor]: Taking taylor expansion of -1 in x 12.993 * [backup-simplify]: Simplify -1 into -1 12.993 * [taylor]: Taking taylor expansion of x in x 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.993 * [backup-simplify]: Simplify (/ -1 1) into -1 12.993 * [backup-simplify]: Simplify (* -1 -1) into 1 12.994 * [backup-simplify]: Simplify (+ 0 1) into 1 12.994 * [backup-simplify]: Simplify (sqrt 1) into 1 12.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.995 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.995 * [backup-simplify]: Simplify (+ 0 0) into 0 12.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.996 * [backup-simplify]: Simplify (/ 1 1) into 1 12.996 * [taylor]: Taking taylor expansion of -1/8 in x 12.996 * [backup-simplify]: Simplify -1/8 into -1/8 12.996 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) in x 12.996 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) 12.996 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 12.996 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 12.996 * [taylor]: Taking taylor expansion of 1 in x 12.996 * [backup-simplify]: Simplify 1 into 1 12.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 12.996 * [taylor]: Taking taylor expansion of 1/2 in x 12.996 * [backup-simplify]: Simplify 1/2 into 1/2 12.996 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 12.996 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 12.996 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 12.996 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 12.996 * [taylor]: Taking taylor expansion of (* 1 1) in x 12.996 * [taylor]: Taking taylor expansion of 1 in x 12.996 * [backup-simplify]: Simplify 1 into 1 12.996 * [taylor]: Taking taylor expansion of 1 in x 12.996 * [backup-simplify]: Simplify 1 into 1 12.996 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 12.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.997 * [taylor]: Taking taylor expansion of -1 in x 12.997 * [backup-simplify]: Simplify -1 into -1 12.997 * [taylor]: Taking taylor expansion of x in x 12.997 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify 1 into 1 12.997 * [backup-simplify]: Simplify (/ -1 1) into -1 12.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x 12.997 * [taylor]: Taking taylor expansion of -1 in x 12.997 * [backup-simplify]: Simplify -1 into -1 12.997 * [taylor]: Taking taylor expansion of x in x 12.997 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify 1 into 1 12.997 * [backup-simplify]: Simplify (/ -1 1) into -1 12.997 * [backup-simplify]: Simplify (* -1 -1) into 1 12.998 * [backup-simplify]: Simplify (+ 0 1) into 1 12.998 * [backup-simplify]: Simplify (sqrt 1) into 1 12.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.999 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.000 * [backup-simplify]: Simplify (+ 0 0) into 0 13.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.000 * [backup-simplify]: Simplify (/ 1 1) into 1 13.000 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.000 * [taylor]: Taking taylor expansion of 1 in x 13.000 * [backup-simplify]: Simplify 1 into 1 13.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.000 * [taylor]: Taking taylor expansion of 1/2 in x 13.000 * [backup-simplify]: Simplify 1/2 into 1/2 13.000 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.000 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.000 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.000 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.000 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.000 * [taylor]: Taking taylor expansion of 1 in x 13.001 * [backup-simplify]: Simplify 1 into 1 13.001 * [taylor]: Taking taylor expansion of 1 in x 13.001 * [backup-simplify]: Simplify 1 into 1 13.001 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.001 * [taylor]: Taking taylor expansion of -1 in x 13.001 * [backup-simplify]: Simplify -1 into -1 13.001 * [taylor]: Taking taylor expansion of x in x 13.001 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify 1 into 1 13.001 * [backup-simplify]: Simplify (/ -1 1) into -1 13.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.001 * [taylor]: Taking taylor expansion of -1 in x 13.001 * [backup-simplify]: Simplify -1 into -1 13.001 * [taylor]: Taking taylor expansion of x in x 13.001 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify 1 into 1 13.001 * [backup-simplify]: Simplify (/ -1 1) into -1 13.002 * [backup-simplify]: Simplify (* -1 -1) into 1 13.002 * [backup-simplify]: Simplify (+ 0 1) into 1 13.002 * [backup-simplify]: Simplify (sqrt 1) into 1 13.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.003 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.004 * [backup-simplify]: Simplify (+ 0 0) into 0 13.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.004 * [backup-simplify]: Simplify (/ 1 1) into 1 13.004 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4) in x 13.004 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) 1/4) 13.004 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.004 * [taylor]: Taking taylor expansion of 1/2 in x 13.005 * [backup-simplify]: Simplify 1/2 into 1/2 13.005 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.005 * [taylor]: Taking taylor expansion of 1 in x 13.005 * [backup-simplify]: Simplify 1 into 1 13.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.005 * [taylor]: Taking taylor expansion of 1/2 in x 13.005 * [backup-simplify]: Simplify 1/2 into 1/2 13.005 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.005 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.005 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.005 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.005 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.005 * [taylor]: Taking taylor expansion of 1 in x 13.005 * [backup-simplify]: Simplify 1 into 1 13.005 * [taylor]: Taking taylor expansion of 1 in x 13.005 * [backup-simplify]: Simplify 1 into 1 13.005 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.005 * [taylor]: Taking taylor expansion of -1 in x 13.005 * [backup-simplify]: Simplify -1 into -1 13.005 * [taylor]: Taking taylor expansion of x in x 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify 1 into 1 13.005 * [backup-simplify]: Simplify (/ -1 1) into -1 13.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.005 * [taylor]: Taking taylor expansion of -1 in x 13.005 * [backup-simplify]: Simplify -1 into -1 13.005 * [taylor]: Taking taylor expansion of x in x 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify 1 into 1 13.006 * [backup-simplify]: Simplify (/ -1 1) into -1 13.006 * [backup-simplify]: Simplify (* -1 -1) into 1 13.006 * [backup-simplify]: Simplify (+ 0 1) into 1 13.006 * [backup-simplify]: Simplify (sqrt 1) into 1 13.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.008 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.008 * [backup-simplify]: Simplify (+ 0 0) into 0 13.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.009 * [backup-simplify]: Simplify (/ 1 1) into 1 13.009 * [taylor]: Taking taylor expansion of 1/4 in x 13.009 * [backup-simplify]: Simplify 1/4 into 1/4 13.009 * [backup-simplify]: Simplify (* 1 1) into 1 13.009 * [backup-simplify]: Simplify (+ 1 0) into 1 13.009 * [backup-simplify]: Simplify (* 1 1) into 1 13.010 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 13.010 * [backup-simplify]: Simplify (+ 1 0) into 1 13.011 * [backup-simplify]: Simplify (+ 1 0) into 1 13.011 * [backup-simplify]: Simplify (* 1 1) into 1 13.012 * [backup-simplify]: Simplify (+ 1 0) into 1 13.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.013 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 13.013 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 13.014 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 13.014 * [taylor]: Taking taylor expansion of (/ (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4))) in x 13.014 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) in x 13.014 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) -1/8) 13.014 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.014 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 13.014 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.014 * [taylor]: Taking taylor expansion of 1 in x 13.014 * [backup-simplify]: Simplify 1 into 1 13.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.014 * [taylor]: Taking taylor expansion of 1/2 in x 13.014 * [backup-simplify]: Simplify 1/2 into 1/2 13.014 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.014 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.014 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.014 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.015 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.015 * [taylor]: Taking taylor expansion of 1 in x 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [taylor]: Taking taylor expansion of 1 in x 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.015 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.015 * [taylor]: Taking taylor expansion of -1 in x 13.015 * [backup-simplify]: Simplify -1 into -1 13.015 * [taylor]: Taking taylor expansion of x in x 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [backup-simplify]: Simplify (/ -1 1) into -1 13.015 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.015 * [taylor]: Taking taylor expansion of -1 in x 13.015 * [backup-simplify]: Simplify -1 into -1 13.015 * [taylor]: Taking taylor expansion of x in x 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 1 into 1 13.016 * [backup-simplify]: Simplify (/ -1 1) into -1 13.016 * [backup-simplify]: Simplify (* -1 -1) into 1 13.017 * [backup-simplify]: Simplify (+ 0 1) into 1 13.017 * [backup-simplify]: Simplify (sqrt 1) into 1 13.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.020 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.020 * [backup-simplify]: Simplify (+ 0 0) into 0 13.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.022 * [backup-simplify]: Simplify (/ 1 1) into 1 13.022 * [backup-simplify]: Simplify (+ 1 0) into 1 13.022 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.023 * [taylor]: Taking taylor expansion of 1 in x 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.023 * [taylor]: Taking taylor expansion of 1/2 in x 13.023 * [backup-simplify]: Simplify 1/2 into 1/2 13.023 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.023 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.023 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.023 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.023 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.023 * [taylor]: Taking taylor expansion of 1 in x 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [taylor]: Taking taylor expansion of 1 in x 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.023 * [taylor]: Taking taylor expansion of -1 in x 13.023 * [backup-simplify]: Simplify -1 into -1 13.023 * [taylor]: Taking taylor expansion of x in x 13.023 * [backup-simplify]: Simplify 0 into 0 13.023 * [backup-simplify]: Simplify 1 into 1 13.024 * [backup-simplify]: Simplify (/ -1 1) into -1 13.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.024 * [taylor]: Taking taylor expansion of -1 in x 13.024 * [backup-simplify]: Simplify -1 into -1 13.024 * [taylor]: Taking taylor expansion of x in x 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify 1 into 1 13.025 * [backup-simplify]: Simplify (/ -1 1) into -1 13.025 * [backup-simplify]: Simplify (* -1 -1) into 1 13.025 * [backup-simplify]: Simplify (+ 0 1) into 1 13.026 * [backup-simplify]: Simplify (sqrt 1) into 1 13.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.028 * [backup-simplify]: Simplify (+ 0 0) into 0 13.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.029 * [backup-simplify]: Simplify (/ 1 1) into 1 13.029 * [taylor]: Taking taylor expansion of -1/8 in x 13.029 * [backup-simplify]: Simplify -1/8 into -1/8 13.029 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) in x 13.029 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) 13.030 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.030 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.030 * [taylor]: Taking taylor expansion of 1 in x 13.030 * [backup-simplify]: Simplify 1 into 1 13.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.030 * [taylor]: Taking taylor expansion of 1/2 in x 13.030 * [backup-simplify]: Simplify 1/2 into 1/2 13.030 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.030 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.030 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.030 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.030 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.030 * [taylor]: Taking taylor expansion of 1 in x 13.030 * [backup-simplify]: Simplify 1 into 1 13.030 * [taylor]: Taking taylor expansion of 1 in x 13.030 * [backup-simplify]: Simplify 1 into 1 13.030 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.030 * [taylor]: Taking taylor expansion of -1 in x 13.030 * [backup-simplify]: Simplify -1 into -1 13.030 * [taylor]: Taking taylor expansion of x in x 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify 1 into 1 13.030 * [backup-simplify]: Simplify (/ -1 1) into -1 13.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.030 * [taylor]: Taking taylor expansion of -1 in x 13.031 * [backup-simplify]: Simplify -1 into -1 13.031 * [taylor]: Taking taylor expansion of x in x 13.031 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify 1 into 1 13.031 * [backup-simplify]: Simplify (/ -1 1) into -1 13.031 * [backup-simplify]: Simplify (* -1 -1) into 1 13.032 * [backup-simplify]: Simplify (+ 0 1) into 1 13.032 * [backup-simplify]: Simplify (sqrt 1) into 1 13.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.034 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.035 * [backup-simplify]: Simplify (+ 0 0) into 0 13.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.036 * [backup-simplify]: Simplify (/ 1 1) into 1 13.036 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.036 * [taylor]: Taking taylor expansion of 1 in x 13.036 * [backup-simplify]: Simplify 1 into 1 13.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.036 * [taylor]: Taking taylor expansion of 1/2 in x 13.036 * [backup-simplify]: Simplify 1/2 into 1/2 13.036 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.036 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.036 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.036 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.036 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.036 * [taylor]: Taking taylor expansion of 1 in x 13.036 * [backup-simplify]: Simplify 1 into 1 13.036 * [taylor]: Taking taylor expansion of 1 in x 13.036 * [backup-simplify]: Simplify 1 into 1 13.036 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.036 * [taylor]: Taking taylor expansion of -1 in x 13.036 * [backup-simplify]: Simplify -1 into -1 13.036 * [taylor]: Taking taylor expansion of x in x 13.036 * [backup-simplify]: Simplify 0 into 0 13.036 * [backup-simplify]: Simplify 1 into 1 13.037 * [backup-simplify]: Simplify (/ -1 1) into -1 13.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.037 * [taylor]: Taking taylor expansion of -1 in x 13.037 * [backup-simplify]: Simplify -1 into -1 13.037 * [taylor]: Taking taylor expansion of x in x 13.037 * [backup-simplify]: Simplify 0 into 0 13.037 * [backup-simplify]: Simplify 1 into 1 13.037 * [backup-simplify]: Simplify (/ -1 1) into -1 13.037 * [backup-simplify]: Simplify (* -1 -1) into 1 13.038 * [backup-simplify]: Simplify (+ 0 1) into 1 13.038 * [backup-simplify]: Simplify (sqrt 1) into 1 13.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.040 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.041 * [backup-simplify]: Simplify (+ 0 0) into 0 13.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.042 * [backup-simplify]: Simplify (/ 1 1) into 1 13.042 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4) in x 13.042 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) 1/4) 13.042 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.042 * [taylor]: Taking taylor expansion of 1/2 in x 13.042 * [backup-simplify]: Simplify 1/2 into 1/2 13.042 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.042 * [taylor]: Taking taylor expansion of 1 in x 13.042 * [backup-simplify]: Simplify 1 into 1 13.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.042 * [taylor]: Taking taylor expansion of 1/2 in x 13.042 * [backup-simplify]: Simplify 1/2 into 1/2 13.042 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.042 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.042 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.042 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.042 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.042 * [taylor]: Taking taylor expansion of 1 in x 13.042 * [backup-simplify]: Simplify 1 into 1 13.042 * [taylor]: Taking taylor expansion of 1 in x 13.042 * [backup-simplify]: Simplify 1 into 1 13.042 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.042 * [taylor]: Taking taylor expansion of -1 in x 13.042 * [backup-simplify]: Simplify -1 into -1 13.042 * [taylor]: Taking taylor expansion of x in x 13.042 * [backup-simplify]: Simplify 0 into 0 13.042 * [backup-simplify]: Simplify 1 into 1 13.043 * [backup-simplify]: Simplify (/ -1 1) into -1 13.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.043 * [taylor]: Taking taylor expansion of -1 in x 13.043 * [backup-simplify]: Simplify -1 into -1 13.043 * [taylor]: Taking taylor expansion of x in x 13.043 * [backup-simplify]: Simplify 0 into 0 13.043 * [backup-simplify]: Simplify 1 into 1 13.043 * [backup-simplify]: Simplify (/ -1 1) into -1 13.044 * [backup-simplify]: Simplify (* -1 -1) into 1 13.044 * [backup-simplify]: Simplify (+ 0 1) into 1 13.044 * [backup-simplify]: Simplify (sqrt 1) into 1 13.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.047 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.047 * [backup-simplify]: Simplify (+ 0 0) into 0 13.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.048 * [backup-simplify]: Simplify (/ 1 1) into 1 13.048 * [taylor]: Taking taylor expansion of 1/4 in x 13.048 * [backup-simplify]: Simplify 1/4 into 1/4 13.048 * [backup-simplify]: Simplify (* 1 1) into 1 13.049 * [backup-simplify]: Simplify (+ 1 0) into 1 13.049 * [backup-simplify]: Simplify (* 1 1) into 1 13.049 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 13.050 * [backup-simplify]: Simplify (+ 1 0) into 1 13.050 * [backup-simplify]: Simplify (+ 1 0) into 1 13.051 * [backup-simplify]: Simplify (* 1 1) into 1 13.051 * [backup-simplify]: Simplify (+ 1 0) into 1 13.052 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.052 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 13.053 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 13.053 * [backup-simplify]: Simplify (/ 7/8 7/4) into 1/2 13.053 * [backup-simplify]: Simplify 1/2 into 1/2 13.054 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.054 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.055 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.055 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.056 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.056 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.057 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.057 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1 1)) into -3/2 13.058 * [backup-simplify]: Simplify (+ -3/2 0) into -3/2 13.058 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.059 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.059 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.060 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.060 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.061 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.061 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.062 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.062 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.062 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.063 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1)) into -1/4 13.064 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 13.064 * [backup-simplify]: Simplify (+ -1 -1/4) into -5/4 13.065 * [backup-simplify]: Simplify (- (/ -3/2 7/4) (+ (* 1/2 (/ -5/4 7/4)))) into -1/2 13.065 * [backup-simplify]: Simplify -1/2 into -1/2 13.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.067 * [backup-simplify]: Simplify (- 0) into 0 13.068 * [backup-simplify]: Simplify (+ 0 0) into 0 13.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.069 * [backup-simplify]: Simplify (- 0) into 0 13.070 * [backup-simplify]: Simplify (+ 0 0) into 0 13.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1/2) (* 1/4 1))) into 3/4 13.073 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 13.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.075 * [backup-simplify]: Simplify (- 0) into 0 13.075 * [backup-simplify]: Simplify (+ 0 0) into 0 13.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.077 * [backup-simplify]: Simplify (- 0) into 0 13.078 * [backup-simplify]: Simplify (+ 0 0) into 0 13.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.081 * [backup-simplify]: Simplify (- 0) into 0 13.081 * [backup-simplify]: Simplify (+ 0 0) into 0 13.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (* 0 1))) into 0 13.083 * [backup-simplify]: Simplify (+ 0 0) into 0 13.083 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.085 * [backup-simplify]: Simplify (- (/ 3/4 7/4) (+ (* 1/2 (/ 1/4 7/4)) (* -1/2 (/ -5/4 7/4)))) into 0 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify (* 1 1) into 1 13.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.089 * [backup-simplify]: Simplify (+ 1 0) into 1 13.090 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.092 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.092 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.093 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.093 * [backup-simplify]: Simplify (* 1 1) into 1 13.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.097 * [backup-simplify]: Simplify (+ 1 0) into 1 13.098 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.100 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.100 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.101 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.102 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1/2 0) (+ (* 0 -1/2) (* 1/4 1)))) into 1/2 13.104 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1 0) (+ (* 1/4 -1/2) (* 1/2 1)))) into 5/8 13.105 * [backup-simplify]: Simplify (+ 5/8 0) into 5/8 13.105 * [backup-simplify]: Simplify (* 1 1) into 1 13.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.115 * [backup-simplify]: Simplify (+ 1 0) into 1 13.116 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.118 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.118 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.119 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.119 * [backup-simplify]: Simplify (* 1 1) into 1 13.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.123 * [backup-simplify]: Simplify (+ 1 0) into 1 13.124 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.126 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.127 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.127 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.129 * [backup-simplify]: Simplify (+ (* 1 1/4) (+ (* -1/2 0) (+ (* 0 -1/2) (* 1/4 1)))) into 1/2 13.129 * [backup-simplify]: Simplify (* 1 1) into 1 13.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.133 * [backup-simplify]: Simplify (+ 1 0) into 1 13.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.135 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.135 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.135 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.136 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1)))) into 1/8 13.137 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 13.137 * [backup-simplify]: Simplify (+ 1/2 1/8) into 5/8 13.138 * [backup-simplify]: Simplify (- (/ 5/8 7/4) (+ (* 1/2 (/ 5/8 7/4)) (* -1/2 (/ 1/4 7/4)) (* 0 (/ -5/4 7/4)))) into 1/4 13.138 * [backup-simplify]: Simplify 1/4 into 1/4 13.138 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 13.138 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 13.139 * [backup-simplify]: Simplify (/ (fma (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 x))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) into (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8)) 13.139 * [approximate]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8)) in (x) around 0 13.139 * [taylor]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8)) in x 13.139 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) in x 13.139 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) 13.139 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 13.139 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.139 * [taylor]: Taking taylor expansion of 1 in x 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.139 * [taylor]: Taking taylor expansion of 1/2 in x 13.139 * [backup-simplify]: Simplify 1/2 into 1/2 13.139 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.139 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.139 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.139 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.139 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.139 * [taylor]: Taking taylor expansion of 1 in x 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [taylor]: Taking taylor expansion of 1 in x 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [taylor]: Taking taylor expansion of (* x x) in x 13.139 * [taylor]: Taking taylor expansion of x in x 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [taylor]: Taking taylor expansion of x in x 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify 1 into 1 13.140 * [backup-simplify]: Simplify (* 1 1) into 1 13.140 * [backup-simplify]: Simplify (* 0 0) into 0 13.140 * [backup-simplify]: Simplify (+ 1 0) into 1 13.140 * [backup-simplify]: Simplify (sqrt 1) into 1 13.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.141 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.141 * [backup-simplify]: Simplify (+ 0 0) into 0 13.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.142 * [backup-simplify]: Simplify (/ 1 1) into 1 13.142 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.142 * [taylor]: Taking taylor expansion of 1 in x 13.142 * [backup-simplify]: Simplify 1 into 1 13.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.142 * [taylor]: Taking taylor expansion of 1/2 in x 13.142 * [backup-simplify]: Simplify 1/2 into 1/2 13.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.142 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.142 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.142 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.142 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.142 * [taylor]: Taking taylor expansion of 1 in x 13.142 * [backup-simplify]: Simplify 1 into 1 13.142 * [taylor]: Taking taylor expansion of 1 in x 13.142 * [backup-simplify]: Simplify 1 into 1 13.142 * [taylor]: Taking taylor expansion of (* x x) in x 13.142 * [taylor]: Taking taylor expansion of x in x 13.142 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify 1 into 1 13.142 * [taylor]: Taking taylor expansion of x in x 13.142 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify 1 into 1 13.143 * [backup-simplify]: Simplify (* 1 1) into 1 13.143 * [backup-simplify]: Simplify (* 0 0) into 0 13.143 * [backup-simplify]: Simplify (+ 1 0) into 1 13.144 * [backup-simplify]: Simplify (sqrt 1) into 1 13.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.144 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.145 * [backup-simplify]: Simplify (+ 0 0) into 0 13.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.145 * [backup-simplify]: Simplify (/ 1 1) into 1 13.145 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4) in x 13.145 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) 1/4) 13.145 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 13.146 * [taylor]: Taking taylor expansion of 1/2 in x 13.146 * [backup-simplify]: Simplify 1/2 into 1/2 13.146 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.146 * [taylor]: Taking taylor expansion of 1 in x 13.146 * [backup-simplify]: Simplify 1 into 1 13.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.146 * [taylor]: Taking taylor expansion of 1/2 in x 13.146 * [backup-simplify]: Simplify 1/2 into 1/2 13.146 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.146 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.146 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.146 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.146 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.146 * [taylor]: Taking taylor expansion of 1 in x 13.146 * [backup-simplify]: Simplify 1 into 1 13.146 * [taylor]: Taking taylor expansion of 1 in x 13.146 * [backup-simplify]: Simplify 1 into 1 13.146 * [taylor]: Taking taylor expansion of (* x x) in x 13.146 * [taylor]: Taking taylor expansion of x in x 13.146 * [backup-simplify]: Simplify 0 into 0 13.146 * [backup-simplify]: Simplify 1 into 1 13.146 * [taylor]: Taking taylor expansion of x in x 13.146 * [backup-simplify]: Simplify 0 into 0 13.146 * [backup-simplify]: Simplify 1 into 1 13.146 * [backup-simplify]: Simplify (* 1 1) into 1 13.146 * [backup-simplify]: Simplify (* 0 0) into 0 13.147 * [backup-simplify]: Simplify (+ 1 0) into 1 13.147 * [backup-simplify]: Simplify (sqrt 1) into 1 13.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.148 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.148 * [backup-simplify]: Simplify (+ 0 0) into 0 13.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.149 * [backup-simplify]: Simplify (/ 1 1) into 1 13.149 * [taylor]: Taking taylor expansion of 1/4 in x 13.149 * [backup-simplify]: Simplify 1/4 into 1/4 13.149 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) in x 13.149 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) -1/8) 13.149 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 13.149 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 13.149 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.149 * [taylor]: Taking taylor expansion of 1 in x 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.149 * [taylor]: Taking taylor expansion of 1/2 in x 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.149 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.149 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.149 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.149 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.149 * [taylor]: Taking taylor expansion of 1 in x 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [taylor]: Taking taylor expansion of 1 in x 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [taylor]: Taking taylor expansion of (* x x) in x 13.149 * [taylor]: Taking taylor expansion of x in x 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [taylor]: Taking taylor expansion of x in x 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [backup-simplify]: Simplify (* 1 1) into 1 13.150 * [backup-simplify]: Simplify (* 0 0) into 0 13.150 * [backup-simplify]: Simplify (+ 1 0) into 1 13.150 * [backup-simplify]: Simplify (sqrt 1) into 1 13.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.151 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.152 * [backup-simplify]: Simplify (+ 0 0) into 0 13.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.152 * [backup-simplify]: Simplify (/ 1 1) into 1 13.153 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.153 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.153 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.153 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.153 * [taylor]: Taking taylor expansion of 1 in x 13.153 * [backup-simplify]: Simplify 1 into 1 13.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.153 * [taylor]: Taking taylor expansion of 1/2 in x 13.153 * [backup-simplify]: Simplify 1/2 into 1/2 13.153 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.153 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.153 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.154 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.154 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.154 * [taylor]: Taking taylor expansion of 1 in x 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [taylor]: Taking taylor expansion of 1 in x 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [taylor]: Taking taylor expansion of (* x x) in x 13.154 * [taylor]: Taking taylor expansion of x in x 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [taylor]: Taking taylor expansion of x in x 13.155 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify 1 into 1 13.155 * [backup-simplify]: Simplify (* 1 1) into 1 13.155 * [backup-simplify]: Simplify (* 0 0) into 0 13.155 * [backup-simplify]: Simplify (+ 1 0) into 1 13.156 * [backup-simplify]: Simplify (sqrt 1) into 1 13.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.156 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.157 * [backup-simplify]: Simplify (+ 0 0) into 0 13.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.157 * [backup-simplify]: Simplify (/ 1 1) into 1 13.157 * [taylor]: Taking taylor expansion of -1/8 in x 13.157 * [backup-simplify]: Simplify -1/8 into -1/8 13.158 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.158 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.158 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.158 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.159 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.159 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.159 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.159 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.160 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.160 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.160 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.161 * [backup-simplify]: Simplify (+ 1/4 1/4) into 1/2 13.161 * [backup-simplify]: Simplify (+ 1/4 1/2) into 3/4 13.161 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.162 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.162 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.162 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.162 * [backup-simplify]: Simplify (* 1/4 1/2) into 1/8 13.163 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 13.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.164 * [backup-simplify]: Simplify (- 0) into 0 13.164 * [backup-simplify]: Simplify (+ 0 0) into 0 13.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.165 * [backup-simplify]: Simplify (- 0) into 0 13.165 * [backup-simplify]: Simplify (+ 0 0) into 0 13.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 13.166 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1/2)) into 0 13.166 * [backup-simplify]: Simplify (+ 0 0) into 0 13.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.168 * [backup-simplify]: Simplify (+ 0 1) into 1 13.168 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.169 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.170 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.170 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.171 * [backup-simplify]: Simplify (+ 0 1) into 1 13.172 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.173 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.173 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.174 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.174 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 13.175 * [backup-simplify]: Simplify (+ (* 1/4 1/4) (+ (* 0 0) (* 1/4 1/2))) into 3/16 13.175 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 13.175 * [backup-simplify]: Simplify (/ 3/4 3/16) into 4 13.175 * [taylor]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8)) in x 13.175 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) in x 13.175 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4)) 13.175 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 x)))) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 13.175 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.175 * [taylor]: Taking taylor expansion of 1 in x 13.175 * [backup-simplify]: Simplify 1 into 1 13.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.175 * [taylor]: Taking taylor expansion of 1/2 in x 13.175 * [backup-simplify]: Simplify 1/2 into 1/2 13.175 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.175 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.176 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.176 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.176 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.176 * [taylor]: Taking taylor expansion of 1 in x 13.176 * [backup-simplify]: Simplify 1 into 1 13.176 * [taylor]: Taking taylor expansion of 1 in x 13.176 * [backup-simplify]: Simplify 1 into 1 13.176 * [taylor]: Taking taylor expansion of (* x x) in x 13.176 * [taylor]: Taking taylor expansion of x in x 13.176 * [backup-simplify]: Simplify 0 into 0 13.176 * [backup-simplify]: Simplify 1 into 1 13.176 * [taylor]: Taking taylor expansion of x in x 13.176 * [backup-simplify]: Simplify 0 into 0 13.176 * [backup-simplify]: Simplify 1 into 1 13.176 * [backup-simplify]: Simplify (* 1 1) into 1 13.176 * [backup-simplify]: Simplify (* 0 0) into 0 13.176 * [backup-simplify]: Simplify (+ 1 0) into 1 13.177 * [backup-simplify]: Simplify (sqrt 1) into 1 13.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.177 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.178 * [backup-simplify]: Simplify (+ 0 0) into 0 13.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.178 * [backup-simplify]: Simplify (/ 1 1) into 1 13.178 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.178 * [taylor]: Taking taylor expansion of 1 in x 13.178 * [backup-simplify]: Simplify 1 into 1 13.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.178 * [taylor]: Taking taylor expansion of 1/2 in x 13.178 * [backup-simplify]: Simplify 1/2 into 1/2 13.178 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.178 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.179 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.179 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.179 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.179 * [taylor]: Taking taylor expansion of 1 in x 13.179 * [backup-simplify]: Simplify 1 into 1 13.179 * [taylor]: Taking taylor expansion of 1 in x 13.179 * [backup-simplify]: Simplify 1 into 1 13.179 * [taylor]: Taking taylor expansion of (* x x) in x 13.179 * [taylor]: Taking taylor expansion of x in x 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [backup-simplify]: Simplify 1 into 1 13.179 * [taylor]: Taking taylor expansion of x in x 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [backup-simplify]: Simplify 1 into 1 13.179 * [backup-simplify]: Simplify (* 1 1) into 1 13.179 * [backup-simplify]: Simplify (* 0 0) into 0 13.179 * [backup-simplify]: Simplify (+ 1 0) into 1 13.180 * [backup-simplify]: Simplify (sqrt 1) into 1 13.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.180 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.181 * [backup-simplify]: Simplify (+ 0 0) into 0 13.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.181 * [backup-simplify]: Simplify (/ 1 1) into 1 13.181 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 1/4) in x 13.181 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) 1/4) 13.182 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 13.182 * [taylor]: Taking taylor expansion of 1/2 in x 13.182 * [backup-simplify]: Simplify 1/2 into 1/2 13.182 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.182 * [taylor]: Taking taylor expansion of 1 in x 13.182 * [backup-simplify]: Simplify 1 into 1 13.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.182 * [taylor]: Taking taylor expansion of 1/2 in x 13.182 * [backup-simplify]: Simplify 1/2 into 1/2 13.182 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.182 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.182 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.182 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.182 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.182 * [taylor]: Taking taylor expansion of 1 in x 13.182 * [backup-simplify]: Simplify 1 into 1 13.182 * [taylor]: Taking taylor expansion of 1 in x 13.182 * [backup-simplify]: Simplify 1 into 1 13.182 * [taylor]: Taking taylor expansion of (* x x) in x 13.182 * [taylor]: Taking taylor expansion of x in x 13.182 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify 1 into 1 13.182 * [taylor]: Taking taylor expansion of x in x 13.182 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify 1 into 1 13.182 * [backup-simplify]: Simplify (* 1 1) into 1 13.183 * [backup-simplify]: Simplify (* 0 0) into 0 13.183 * [backup-simplify]: Simplify (+ 1 0) into 1 13.183 * [backup-simplify]: Simplify (sqrt 1) into 1 13.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.185 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.185 * [backup-simplify]: Simplify (+ 0 0) into 0 13.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.186 * [backup-simplify]: Simplify (/ 1 1) into 1 13.187 * [taylor]: Taking taylor expansion of 1/4 in x 13.187 * [backup-simplify]: Simplify 1/4 into 1/4 13.187 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x)))) -1/8) in x 13.187 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) -1/8) 13.187 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 x))))) in x 13.187 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 13.187 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.187 * [taylor]: Taking taylor expansion of 1 in x 13.187 * [backup-simplify]: Simplify 1 into 1 13.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.187 * [taylor]: Taking taylor expansion of 1/2 in x 13.187 * [backup-simplify]: Simplify 1/2 into 1/2 13.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.187 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.187 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.187 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.187 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.187 * [taylor]: Taking taylor expansion of 1 in x 13.187 * [backup-simplify]: Simplify 1 into 1 13.187 * [taylor]: Taking taylor expansion of 1 in x 13.187 * [backup-simplify]: Simplify 1 into 1 13.187 * [taylor]: Taking taylor expansion of (* x x) in x 13.187 * [taylor]: Taking taylor expansion of x in x 13.187 * [backup-simplify]: Simplify 0 into 0 13.187 * [backup-simplify]: Simplify 1 into 1 13.187 * [taylor]: Taking taylor expansion of x in x 13.187 * [backup-simplify]: Simplify 0 into 0 13.187 * [backup-simplify]: Simplify 1 into 1 13.188 * [backup-simplify]: Simplify (* 1 1) into 1 13.188 * [backup-simplify]: Simplify (* 0 0) into 0 13.189 * [backup-simplify]: Simplify (+ 1 0) into 1 13.189 * [backup-simplify]: Simplify (sqrt 1) into 1 13.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.190 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.191 * [backup-simplify]: Simplify (+ 0 0) into 0 13.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.192 * [backup-simplify]: Simplify (/ 1 1) into 1 13.192 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.193 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.193 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.193 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.193 * [taylor]: Taking taylor expansion of 1 in x 13.193 * [backup-simplify]: Simplify 1 into 1 13.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.193 * [taylor]: Taking taylor expansion of 1/2 in x 13.193 * [backup-simplify]: Simplify 1/2 into 1/2 13.193 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.193 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.194 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.194 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.194 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.194 * [taylor]: Taking taylor expansion of 1 in x 13.194 * [backup-simplify]: Simplify 1 into 1 13.194 * [taylor]: Taking taylor expansion of 1 in x 13.194 * [backup-simplify]: Simplify 1 into 1 13.194 * [taylor]: Taking taylor expansion of (* x x) in x 13.194 * [taylor]: Taking taylor expansion of x in x 13.194 * [backup-simplify]: Simplify 0 into 0 13.194 * [backup-simplify]: Simplify 1 into 1 13.194 * [taylor]: Taking taylor expansion of x in x 13.194 * [backup-simplify]: Simplify 0 into 0 13.194 * [backup-simplify]: Simplify 1 into 1 13.194 * [backup-simplify]: Simplify (* 1 1) into 1 13.195 * [backup-simplify]: Simplify (* 0 0) into 0 13.195 * [backup-simplify]: Simplify (+ 1 0) into 1 13.196 * [backup-simplify]: Simplify (sqrt 1) into 1 13.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.197 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.198 * [backup-simplify]: Simplify (+ 0 0) into 0 13.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.199 * [backup-simplify]: Simplify (/ 1 1) into 1 13.199 * [taylor]: Taking taylor expansion of -1/8 in x 13.199 * [backup-simplify]: Simplify -1/8 into -1/8 13.199 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.200 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.200 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.201 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.201 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.202 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.202 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.203 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.203 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.203 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.204 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.204 * [backup-simplify]: Simplify (+ 1/4 1/4) into 1/2 13.205 * [backup-simplify]: Simplify (+ 1/4 1/2) into 3/4 13.205 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.206 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.206 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.206 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.207 * [backup-simplify]: Simplify (* 1/4 1/2) into 1/8 13.207 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 13.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.209 * [backup-simplify]: Simplify (- 0) into 0 13.210 * [backup-simplify]: Simplify (+ 0 0) into 0 13.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.212 * [backup-simplify]: Simplify (- 0) into 0 13.212 * [backup-simplify]: Simplify (+ 0 0) into 0 13.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 13.214 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1/2)) into 0 13.214 * [backup-simplify]: Simplify (+ 0 0) into 0 13.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.217 * [backup-simplify]: Simplify (+ 0 1) into 1 13.218 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.221 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.221 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.222 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.224 * [backup-simplify]: Simplify (+ 0 1) into 1 13.225 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.228 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.228 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.228 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.229 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 13.237 * [backup-simplify]: Simplify (+ (* 1/4 1/4) (+ (* 0 0) (* 1/4 1/2))) into 3/16 13.237 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 13.238 * [backup-simplify]: Simplify (/ 3/4 3/16) into 4 13.238 * [backup-simplify]: Simplify 4 into 4 13.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.240 * [backup-simplify]: Simplify (- 0) into 0 13.240 * [backup-simplify]: Simplify (+ 0 0) into 0 13.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.242 * [backup-simplify]: Simplify (- 0) into 0 13.243 * [backup-simplify]: Simplify (+ 0 0) into 0 13.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 13.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.245 * [backup-simplify]: Simplify (- 0) into 0 13.246 * [backup-simplify]: Simplify (+ 0 0) into 0 13.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 13.246 * [backup-simplify]: Simplify (+ 0 0) into 0 13.247 * [backup-simplify]: Simplify (+ 0 0) into 0 13.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.248 * [backup-simplify]: Simplify (+ 0 0) into 0 13.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.251 * [backup-simplify]: Simplify (- 0) into 0 13.251 * [backup-simplify]: Simplify (+ 0 0) into 0 13.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.252 * [backup-simplify]: Simplify (+ 0 0) into 0 13.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.255 * [backup-simplify]: Simplify (- 0) into 0 13.255 * [backup-simplify]: Simplify (+ 0 0) into 0 13.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 13.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 13.257 * [backup-simplify]: Simplify (+ 0 0) into 0 13.257 * [backup-simplify]: Simplify (- (/ 0 3/16) (+ (* 4 (/ 0 3/16)))) into 0 13.257 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.259 * [backup-simplify]: Simplify (+ 0 1) into 1 13.259 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.261 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.261 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.261 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.262 * [backup-simplify]: Simplify (+ 0 1) into 1 13.263 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.264 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.264 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.265 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.265 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 13.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.267 * [backup-simplify]: Simplify (+ 0 1) into 1 13.267 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.268 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.269 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.269 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.270 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 0 1/2))) into 1/8 13.270 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 13.270 * [backup-simplify]: Simplify (+ 1/4 1/8) into 3/8 13.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.272 * [backup-simplify]: Simplify (+ 0 0) into 0 13.273 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.275 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.275 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.275 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.277 * [backup-simplify]: Simplify (+ 0 0) into 0 13.278 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.280 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.280 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.281 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.281 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 13.282 * [backup-simplify]: Simplify (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -1/8 1/2))))) into -3/64 13.283 * [backup-simplify]: Simplify (+ -3/64 0) into -3/64 13.284 * [backup-simplify]: Simplify (- (/ 3/8 3/16) (+ (* 4 (/ -3/64 3/16)) (* 0 (/ 0 3/16)))) into 3 13.284 * [backup-simplify]: Simplify 3 into 3 13.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.285 * [backup-simplify]: Simplify (+ 0 0) into 0 13.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.288 * [backup-simplify]: Simplify (- 0) into 0 13.288 * [backup-simplify]: Simplify (+ 0 0) into 0 13.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.289 * [backup-simplify]: Simplify (+ 0 0) into 0 13.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.294 * [backup-simplify]: Simplify (- 0) into 0 13.294 * [backup-simplify]: Simplify (+ 0 0) into 0 13.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 13.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.299 * [backup-simplify]: Simplify (+ 0 0) into 0 13.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.304 * [backup-simplify]: Simplify (- 0) into 0 13.304 * [backup-simplify]: Simplify (+ 0 0) into 0 13.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 0 0) (* 0 1/2)))) into 0 13.306 * [backup-simplify]: Simplify (+ 0 0) into 0 13.306 * [backup-simplify]: Simplify (+ 0 0) into 0 13.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.309 * [backup-simplify]: Simplify (+ 0 0) into 0 13.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 13.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 13.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 13.316 * [backup-simplify]: Simplify (- 0) into 0 13.316 * [backup-simplify]: Simplify (+ 0 0) into 0 13.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.320 * [backup-simplify]: Simplify (+ 0 0) into 0 13.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 13.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 13.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 13.326 * [backup-simplify]: Simplify (- 0) into 0 13.326 * [backup-simplify]: Simplify (+ 0 0) into 0 13.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -3/16) (+ (* 1/4 0) (+ (* 0 1/4) (+ (* -3/16 0) (* 0 1/2)))))) into 0 13.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -3/16) (+ (* 1/4 0) (+ (* 0 1/4) (+ (* -1/8 0) (* 0 1/2)))))) into 0 13.329 * [backup-simplify]: Simplify (+ 0 0) into 0 13.330 * [backup-simplify]: Simplify (- (/ 0 3/16) (+ (* 4 (/ 0 3/16)) (* 0 (/ -3/64 3/16)) (* 3 (/ 0 3/16)))) into 0 13.330 * [backup-simplify]: Simplify 0 into 0 13.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.331 * [backup-simplify]: Simplify (+ 0 0) into 0 13.333 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.335 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.336 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.336 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.344 * [backup-simplify]: Simplify (+ 0 0) into 0 13.344 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.347 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.347 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.347 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.348 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 13.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.350 * [backup-simplify]: Simplify (+ 0 0) into 0 13.351 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.353 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.353 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.353 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.354 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 0 1/4) (+ (* 0 0) (* 0 1/2))))) into -3/32 13.354 * [backup-simplify]: Simplify (+ -3/32 0) into -3/32 13.355 * [backup-simplify]: Simplify (+ -1/8 -3/32) into -7/32 13.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.357 * [backup-simplify]: Simplify (+ 0 0) into 0 13.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 13.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 13.362 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 13.362 * [backup-simplify]: Simplify (- -5/32) into 5/32 13.362 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 13.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 13.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.365 * [backup-simplify]: Simplify (+ 0 0) into 0 13.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 13.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 13.368 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 13.369 * [backup-simplify]: Simplify (- -5/32) into 5/32 13.369 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 13.370 * [backup-simplify]: Simplify (+ (* 1/2 5/32) (+ (* 0 0) (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* -3/16 1/4) (+ (* 0 0) (* 5/32 1/2))))))) into 1/16 13.372 * [backup-simplify]: Simplify (+ (* 1/4 5/32) (+ (* 0 0) (+ (* 1/4 -3/16) (+ (* 0 0) (+ (* -1/8 1/4) (+ (* 0 0) (* 1/16 1/2))))))) into -1/128 13.372 * [backup-simplify]: Simplify (+ -1/128 0) into -1/128 13.373 * [backup-simplify]: Simplify (- (/ -7/32 3/16) (+ (* 4 (/ -1/128 3/16)) (* 0 (/ 0 3/16)) (* 3 (/ -3/64 3/16)) (* 0 (/ 0 3/16)))) into -1/4 13.373 * [backup-simplify]: Simplify -1/4 into -1/4 13.374 * [backup-simplify]: Simplify (+ (* -1/4 (pow x 2)) (+ 3 (* 4 (pow (/ 1 x) 2)))) into (- (+ (* 4 (/ 1 (pow x 2))) 3) (* 1/4 (pow x 2))) 13.374 * [backup-simplify]: Simplify (/ (fma (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) -1/8)) into (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8)) 13.374 * [approximate]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8)) in (x) around 0 13.374 * [taylor]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8)) in x 13.374 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) in x 13.374 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) 13.374 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 13.374 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.374 * [taylor]: Taking taylor expansion of 1 in x 13.374 * [backup-simplify]: Simplify 1 into 1 13.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.374 * [taylor]: Taking taylor expansion of 1/2 in x 13.374 * [backup-simplify]: Simplify 1/2 into 1/2 13.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.375 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.375 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.375 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.375 * [taylor]: Taking taylor expansion of 1 in x 13.375 * [backup-simplify]: Simplify 1 into 1 13.375 * [taylor]: Taking taylor expansion of 1 in x 13.375 * [backup-simplify]: Simplify 1 into 1 13.375 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.375 * [taylor]: Taking taylor expansion of x in x 13.375 * [backup-simplify]: Simplify 0 into 0 13.375 * [backup-simplify]: Simplify 1 into 1 13.375 * [backup-simplify]: Simplify (/ 1 1) into 1 13.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.375 * [taylor]: Taking taylor expansion of x in x 13.375 * [backup-simplify]: Simplify 0 into 0 13.375 * [backup-simplify]: Simplify 1 into 1 13.375 * [backup-simplify]: Simplify (/ 1 1) into 1 13.376 * [backup-simplify]: Simplify (* 1 1) into 1 13.376 * [backup-simplify]: Simplify (+ 0 1) into 1 13.376 * [backup-simplify]: Simplify (sqrt 1) into 1 13.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.378 * [backup-simplify]: Simplify (+ 0 0) into 0 13.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.378 * [backup-simplify]: Simplify (/ 1 1) into 1 13.378 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.378 * [taylor]: Taking taylor expansion of 1 in x 13.378 * [backup-simplify]: Simplify 1 into 1 13.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.378 * [taylor]: Taking taylor expansion of 1/2 in x 13.378 * [backup-simplify]: Simplify 1/2 into 1/2 13.378 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.378 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.379 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.379 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.379 * [taylor]: Taking taylor expansion of 1 in x 13.379 * [backup-simplify]: Simplify 1 into 1 13.379 * [taylor]: Taking taylor expansion of 1 in x 13.379 * [backup-simplify]: Simplify 1 into 1 13.379 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.379 * [taylor]: Taking taylor expansion of x in x 13.379 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify 1 into 1 13.379 * [backup-simplify]: Simplify (/ 1 1) into 1 13.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.379 * [taylor]: Taking taylor expansion of x in x 13.379 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify 1 into 1 13.379 * [backup-simplify]: Simplify (/ 1 1) into 1 13.379 * [backup-simplify]: Simplify (* 1 1) into 1 13.380 * [backup-simplify]: Simplify (+ 0 1) into 1 13.380 * [backup-simplify]: Simplify (sqrt 1) into 1 13.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.382 * [backup-simplify]: Simplify (+ 0 0) into 0 13.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.382 * [backup-simplify]: Simplify (/ 1 1) into 1 13.382 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4) in x 13.383 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) 1/4) 13.383 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 13.383 * [taylor]: Taking taylor expansion of 1/2 in x 13.383 * [backup-simplify]: Simplify 1/2 into 1/2 13.383 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.383 * [taylor]: Taking taylor expansion of 1 in x 13.383 * [backup-simplify]: Simplify 1 into 1 13.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.383 * [taylor]: Taking taylor expansion of 1/2 in x 13.383 * [backup-simplify]: Simplify 1/2 into 1/2 13.383 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.383 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.383 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.383 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.383 * [taylor]: Taking taylor expansion of 1 in x 13.383 * [backup-simplify]: Simplify 1 into 1 13.383 * [taylor]: Taking taylor expansion of 1 in x 13.383 * [backup-simplify]: Simplify 1 into 1 13.383 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.383 * [taylor]: Taking taylor expansion of x in x 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 1 into 1 13.383 * [backup-simplify]: Simplify (/ 1 1) into 1 13.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.383 * [taylor]: Taking taylor expansion of x in x 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 1 into 1 13.384 * [backup-simplify]: Simplify (/ 1 1) into 1 13.384 * [backup-simplify]: Simplify (* 1 1) into 1 13.384 * [backup-simplify]: Simplify (+ 0 1) into 1 13.385 * [backup-simplify]: Simplify (sqrt 1) into 1 13.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.387 * [backup-simplify]: Simplify (+ 0 0) into 0 13.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.388 * [backup-simplify]: Simplify (/ 1 1) into 1 13.388 * [taylor]: Taking taylor expansion of 1/4 in x 13.388 * [backup-simplify]: Simplify 1/4 into 1/4 13.388 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) in x 13.388 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) -1/8) 13.388 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 13.388 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 13.388 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.388 * [taylor]: Taking taylor expansion of 1 in x 13.388 * [backup-simplify]: Simplify 1 into 1 13.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.388 * [taylor]: Taking taylor expansion of 1/2 in x 13.388 * [backup-simplify]: Simplify 1/2 into 1/2 13.388 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.388 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.388 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.388 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.388 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.388 * [taylor]: Taking taylor expansion of 1 in x 13.388 * [backup-simplify]: Simplify 1 into 1 13.388 * [taylor]: Taking taylor expansion of 1 in x 13.388 * [backup-simplify]: Simplify 1 into 1 13.388 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.388 * [taylor]: Taking taylor expansion of x in x 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify 1 into 1 13.388 * [backup-simplify]: Simplify (/ 1 1) into 1 13.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.389 * [taylor]: Taking taylor expansion of x in x 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 1 into 1 13.389 * [backup-simplify]: Simplify (/ 1 1) into 1 13.389 * [backup-simplify]: Simplify (* 1 1) into 1 13.389 * [backup-simplify]: Simplify (+ 0 1) into 1 13.390 * [backup-simplify]: Simplify (sqrt 1) into 1 13.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.391 * [backup-simplify]: Simplify (+ 0 0) into 0 13.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.392 * [backup-simplify]: Simplify (/ 1 1) into 1 13.392 * [backup-simplify]: Simplify (+ 1 0) into 1 13.392 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.392 * [taylor]: Taking taylor expansion of 1 in x 13.392 * [backup-simplify]: Simplify 1 into 1 13.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.392 * [taylor]: Taking taylor expansion of 1/2 in x 13.392 * [backup-simplify]: Simplify 1/2 into 1/2 13.392 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.392 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.392 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.392 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.392 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.392 * [taylor]: Taking taylor expansion of 1 in x 13.392 * [backup-simplify]: Simplify 1 into 1 13.392 * [taylor]: Taking taylor expansion of 1 in x 13.392 * [backup-simplify]: Simplify 1 into 1 13.392 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.392 * [taylor]: Taking taylor expansion of x in x 13.392 * [backup-simplify]: Simplify 0 into 0 13.392 * [backup-simplify]: Simplify 1 into 1 13.393 * [backup-simplify]: Simplify (/ 1 1) into 1 13.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.393 * [taylor]: Taking taylor expansion of x in x 13.393 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 1 into 1 13.393 * [backup-simplify]: Simplify (/ 1 1) into 1 13.393 * [backup-simplify]: Simplify (* 1 1) into 1 13.393 * [backup-simplify]: Simplify (+ 0 1) into 1 13.394 * [backup-simplify]: Simplify (sqrt 1) into 1 13.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.395 * [backup-simplify]: Simplify (+ 0 0) into 0 13.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.396 * [backup-simplify]: Simplify (/ 1 1) into 1 13.396 * [taylor]: Taking taylor expansion of -1/8 in x 13.396 * [backup-simplify]: Simplify -1/8 into -1/8 13.396 * [backup-simplify]: Simplify (+ 1 0) into 1 13.397 * [backup-simplify]: Simplify (+ 1 0) into 1 13.397 * [backup-simplify]: Simplify (* 1 1) into 1 13.397 * [backup-simplify]: Simplify (+ 1 0) into 1 13.397 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.398 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 13.398 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 13.398 * [backup-simplify]: Simplify (* 1 1) into 1 13.398 * [backup-simplify]: Simplify (+ 1 0) into 1 13.399 * [backup-simplify]: Simplify (* 1 1) into 1 13.399 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 13.399 * [backup-simplify]: Simplify (/ 7/4 7/8) into 2 13.399 * [taylor]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8)) in x 13.399 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) in x 13.399 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4)) 13.399 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 13.399 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.399 * [taylor]: Taking taylor expansion of 1 in x 13.399 * [backup-simplify]: Simplify 1 into 1 13.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.399 * [taylor]: Taking taylor expansion of 1/2 in x 13.399 * [backup-simplify]: Simplify 1/2 into 1/2 13.399 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.399 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.400 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.400 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.400 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.400 * [taylor]: Taking taylor expansion of 1 in x 13.400 * [backup-simplify]: Simplify 1 into 1 13.400 * [taylor]: Taking taylor expansion of 1 in x 13.400 * [backup-simplify]: Simplify 1 into 1 13.400 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.400 * [taylor]: Taking taylor expansion of x in x 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 1 into 1 13.400 * [backup-simplify]: Simplify (/ 1 1) into 1 13.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.400 * [taylor]: Taking taylor expansion of x in x 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 1 into 1 13.400 * [backup-simplify]: Simplify (/ 1 1) into 1 13.400 * [backup-simplify]: Simplify (* 1 1) into 1 13.401 * [backup-simplify]: Simplify (+ 0 1) into 1 13.401 * [backup-simplify]: Simplify (sqrt 1) into 1 13.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.402 * [backup-simplify]: Simplify (+ 0 0) into 0 13.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.403 * [backup-simplify]: Simplify (/ 1 1) into 1 13.403 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.403 * [taylor]: Taking taylor expansion of 1 in x 13.403 * [backup-simplify]: Simplify 1 into 1 13.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.403 * [taylor]: Taking taylor expansion of 1/2 in x 13.403 * [backup-simplify]: Simplify 1/2 into 1/2 13.403 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.403 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.403 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.403 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.403 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.403 * [taylor]: Taking taylor expansion of 1 in x 13.403 * [backup-simplify]: Simplify 1 into 1 13.403 * [taylor]: Taking taylor expansion of 1 in x 13.403 * [backup-simplify]: Simplify 1 into 1 13.403 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.403 * [taylor]: Taking taylor expansion of x in x 13.404 * [backup-simplify]: Simplify 0 into 0 13.404 * [backup-simplify]: Simplify 1 into 1 13.404 * [backup-simplify]: Simplify (/ 1 1) into 1 13.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.404 * [taylor]: Taking taylor expansion of x in x 13.404 * [backup-simplify]: Simplify 0 into 0 13.404 * [backup-simplify]: Simplify 1 into 1 13.404 * [backup-simplify]: Simplify (/ 1 1) into 1 13.404 * [backup-simplify]: Simplify (* 1 1) into 1 13.405 * [backup-simplify]: Simplify (+ 0 1) into 1 13.405 * [backup-simplify]: Simplify (sqrt 1) into 1 13.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.406 * [backup-simplify]: Simplify (+ 0 0) into 0 13.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.407 * [backup-simplify]: Simplify (/ 1 1) into 1 13.407 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 1/4) in x 13.407 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) 1/4) 13.407 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 13.407 * [taylor]: Taking taylor expansion of 1/2 in x 13.407 * [backup-simplify]: Simplify 1/2 into 1/2 13.407 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.407 * [taylor]: Taking taylor expansion of 1 in x 13.407 * [backup-simplify]: Simplify 1 into 1 13.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.407 * [taylor]: Taking taylor expansion of 1/2 in x 13.407 * [backup-simplify]: Simplify 1/2 into 1/2 13.407 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.407 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.407 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.407 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.407 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.407 * [taylor]: Taking taylor expansion of 1 in x 13.407 * [backup-simplify]: Simplify 1 into 1 13.407 * [taylor]: Taking taylor expansion of 1 in x 13.407 * [backup-simplify]: Simplify 1 into 1 13.407 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.407 * [taylor]: Taking taylor expansion of x in x 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [backup-simplify]: Simplify 1 into 1 13.408 * [backup-simplify]: Simplify (/ 1 1) into 1 13.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.408 * [taylor]: Taking taylor expansion of x in x 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 1 into 1 13.408 * [backup-simplify]: Simplify (/ 1 1) into 1 13.408 * [backup-simplify]: Simplify (* 1 1) into 1 13.408 * [backup-simplify]: Simplify (+ 0 1) into 1 13.409 * [backup-simplify]: Simplify (sqrt 1) into 1 13.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.410 * [backup-simplify]: Simplify (+ 0 0) into 0 13.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.411 * [backup-simplify]: Simplify (/ 1 1) into 1 13.411 * [taylor]: Taking taylor expansion of 1/4 in x 13.411 * [backup-simplify]: Simplify 1/4 into 1/4 13.411 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) -1/8) in x 13.411 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) -1/8) 13.411 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))) in x 13.411 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 13.411 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.411 * [taylor]: Taking taylor expansion of 1 in x 13.411 * [backup-simplify]: Simplify 1 into 1 13.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.411 * [taylor]: Taking taylor expansion of 1/2 in x 13.411 * [backup-simplify]: Simplify 1/2 into 1/2 13.411 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.411 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.411 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.411 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.411 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.411 * [taylor]: Taking taylor expansion of 1 in x 13.411 * [backup-simplify]: Simplify 1 into 1 13.411 * [taylor]: Taking taylor expansion of 1 in x 13.411 * [backup-simplify]: Simplify 1 into 1 13.411 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.411 * [taylor]: Taking taylor expansion of x in x 13.411 * [backup-simplify]: Simplify 0 into 0 13.411 * [backup-simplify]: Simplify 1 into 1 13.412 * [backup-simplify]: Simplify (/ 1 1) into 1 13.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.412 * [taylor]: Taking taylor expansion of x in x 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify 1 into 1 13.412 * [backup-simplify]: Simplify (/ 1 1) into 1 13.412 * [backup-simplify]: Simplify (* 1 1) into 1 13.412 * [backup-simplify]: Simplify (+ 0 1) into 1 13.413 * [backup-simplify]: Simplify (sqrt 1) into 1 13.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.414 * [backup-simplify]: Simplify (+ 0 0) into 0 13.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.415 * [backup-simplify]: Simplify (/ 1 1) into 1 13.415 * [backup-simplify]: Simplify (+ 1 0) into 1 13.415 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.415 * [taylor]: Taking taylor expansion of 1 in x 13.415 * [backup-simplify]: Simplify 1 into 1 13.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.415 * [taylor]: Taking taylor expansion of 1/2 in x 13.415 * [backup-simplify]: Simplify 1/2 into 1/2 13.415 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.415 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.415 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.415 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.415 * [taylor]: Taking taylor expansion of 1 in x 13.415 * [backup-simplify]: Simplify 1 into 1 13.415 * [taylor]: Taking taylor expansion of 1 in x 13.415 * [backup-simplify]: Simplify 1 into 1 13.415 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.415 * [taylor]: Taking taylor expansion of x in x 13.416 * [backup-simplify]: Simplify 0 into 0 13.416 * [backup-simplify]: Simplify 1 into 1 13.416 * [backup-simplify]: Simplify (/ 1 1) into 1 13.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.416 * [taylor]: Taking taylor expansion of x in x 13.416 * [backup-simplify]: Simplify 0 into 0 13.416 * [backup-simplify]: Simplify 1 into 1 13.416 * [backup-simplify]: Simplify (/ 1 1) into 1 13.416 * [backup-simplify]: Simplify (* 1 1) into 1 13.417 * [backup-simplify]: Simplify (+ 0 1) into 1 13.417 * [backup-simplify]: Simplify (sqrt 1) into 1 13.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.418 * [backup-simplify]: Simplify (+ 0 0) into 0 13.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.419 * [backup-simplify]: Simplify (/ 1 1) into 1 13.419 * [taylor]: Taking taylor expansion of -1/8 in x 13.419 * [backup-simplify]: Simplify -1/8 into -1/8 13.419 * [backup-simplify]: Simplify (+ 1 0) into 1 13.420 * [backup-simplify]: Simplify (+ 1 0) into 1 13.420 * [backup-simplify]: Simplify (* 1 1) into 1 13.420 * [backup-simplify]: Simplify (+ 1 0) into 1 13.420 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.421 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 13.421 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 13.421 * [backup-simplify]: Simplify (* 1 1) into 1 13.421 * [backup-simplify]: Simplify (+ 1 0) into 1 13.422 * [backup-simplify]: Simplify (* 1 1) into 1 13.422 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 13.422 * [backup-simplify]: Simplify (/ 7/4 7/8) into 2 13.422 * [backup-simplify]: Simplify 2 into 2 13.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.423 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.423 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.424 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.424 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.424 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.424 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.425 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.425 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.425 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1)) into -1/4 13.426 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 13.426 * [backup-simplify]: Simplify (+ -1 -1/4) into -5/4 13.426 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.427 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.427 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.427 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.427 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.428 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.428 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.428 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1 1)) into -3/2 13.429 * [backup-simplify]: Simplify (+ -3/2 0) into -3/2 13.429 * [backup-simplify]: Simplify (- (/ -5/4 7/8) (+ (* 2 (/ -3/2 7/8)))) into 2 13.429 * [backup-simplify]: Simplify 2 into 2 13.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.430 * [backup-simplify]: Simplify (- 0) into 0 13.431 * [backup-simplify]: Simplify (+ 0 0) into 0 13.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.437 * [backup-simplify]: Simplify (- 0) into 0 13.437 * [backup-simplify]: Simplify (+ 0 0) into 0 13.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.439 * [backup-simplify]: Simplify (- 0) into 0 13.439 * [backup-simplify]: Simplify (+ 0 0) into 0 13.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (* 0 1))) into 0 13.440 * [backup-simplify]: Simplify (+ 0 0) into 0 13.440 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.442 * [backup-simplify]: Simplify (- 0) into 0 13.442 * [backup-simplify]: Simplify (+ 0 0) into 0 13.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.443 * [backup-simplify]: Simplify (- 0) into 0 13.443 * [backup-simplify]: Simplify (+ 0 0) into 0 13.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1/2) (* 1/4 1))) into 3/4 13.445 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 13.446 * [backup-simplify]: Simplify (- (/ 1/4 7/8) (+ (* 2 (/ 3/4 7/8)) (* 2 (/ -3/2 7/8)))) into 2 13.446 * [backup-simplify]: Simplify 2 into 2 13.446 * [backup-simplify]: Simplify (+ (* 2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) 2)) into (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 2)) 13.446 * [backup-simplify]: Simplify (/ (fma (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x)))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) -1/8)) into (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8)) 13.446 * [approximate]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8)) in (x) around 0 13.446 * [taylor]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8)) in x 13.447 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) in x 13.447 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) 13.447 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.447 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.447 * [taylor]: Taking taylor expansion of 1 in x 13.447 * [backup-simplify]: Simplify 1 into 1 13.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.447 * [taylor]: Taking taylor expansion of 1/2 in x 13.447 * [backup-simplify]: Simplify 1/2 into 1/2 13.447 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.447 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.447 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.447 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.447 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.447 * [taylor]: Taking taylor expansion of 1 in x 13.447 * [backup-simplify]: Simplify 1 into 1 13.447 * [taylor]: Taking taylor expansion of 1 in x 13.447 * [backup-simplify]: Simplify 1 into 1 13.447 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.447 * [taylor]: Taking taylor expansion of -1 in x 13.447 * [backup-simplify]: Simplify -1 into -1 13.447 * [taylor]: Taking taylor expansion of x in x 13.447 * [backup-simplify]: Simplify 0 into 0 13.447 * [backup-simplify]: Simplify 1 into 1 13.447 * [backup-simplify]: Simplify (/ -1 1) into -1 13.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.447 * [taylor]: Taking taylor expansion of -1 in x 13.447 * [backup-simplify]: Simplify -1 into -1 13.447 * [taylor]: Taking taylor expansion of x in x 13.447 * [backup-simplify]: Simplify 0 into 0 13.447 * [backup-simplify]: Simplify 1 into 1 13.448 * [backup-simplify]: Simplify (/ -1 1) into -1 13.448 * [backup-simplify]: Simplify (* -1 -1) into 1 13.448 * [backup-simplify]: Simplify (+ 0 1) into 1 13.448 * [backup-simplify]: Simplify (sqrt 1) into 1 13.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.450 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.450 * [backup-simplify]: Simplify (+ 0 0) into 0 13.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.451 * [backup-simplify]: Simplify (/ 1 1) into 1 13.451 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.451 * [taylor]: Taking taylor expansion of 1 in x 13.451 * [backup-simplify]: Simplify 1 into 1 13.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.451 * [taylor]: Taking taylor expansion of 1/2 in x 13.451 * [backup-simplify]: Simplify 1/2 into 1/2 13.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.451 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.451 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.451 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.451 * [taylor]: Taking taylor expansion of 1 in x 13.451 * [backup-simplify]: Simplify 1 into 1 13.451 * [taylor]: Taking taylor expansion of 1 in x 13.451 * [backup-simplify]: Simplify 1 into 1 13.451 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.451 * [taylor]: Taking taylor expansion of -1 in x 13.451 * [backup-simplify]: Simplify -1 into -1 13.451 * [taylor]: Taking taylor expansion of x in x 13.451 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify 1 into 1 13.451 * [backup-simplify]: Simplify (/ -1 1) into -1 13.451 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.451 * [taylor]: Taking taylor expansion of -1 in x 13.451 * [backup-simplify]: Simplify -1 into -1 13.451 * [taylor]: Taking taylor expansion of x in x 13.451 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify 1 into 1 13.452 * [backup-simplify]: Simplify (/ -1 1) into -1 13.452 * [backup-simplify]: Simplify (* -1 -1) into 1 13.452 * [backup-simplify]: Simplify (+ 0 1) into 1 13.452 * [backup-simplify]: Simplify (sqrt 1) into 1 13.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.454 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.454 * [backup-simplify]: Simplify (+ 0 0) into 0 13.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.455 * [backup-simplify]: Simplify (/ 1 1) into 1 13.455 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4) in x 13.455 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) 1/4) 13.455 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.455 * [taylor]: Taking taylor expansion of 1/2 in x 13.455 * [backup-simplify]: Simplify 1/2 into 1/2 13.455 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.455 * [taylor]: Taking taylor expansion of 1 in x 13.455 * [backup-simplify]: Simplify 1 into 1 13.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.455 * [taylor]: Taking taylor expansion of 1/2 in x 13.455 * [backup-simplify]: Simplify 1/2 into 1/2 13.455 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.455 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.455 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.455 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.455 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.455 * [taylor]: Taking taylor expansion of 1 in x 13.455 * [backup-simplify]: Simplify 1 into 1 13.455 * [taylor]: Taking taylor expansion of 1 in x 13.455 * [backup-simplify]: Simplify 1 into 1 13.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.455 * [taylor]: Taking taylor expansion of -1 in x 13.455 * [backup-simplify]: Simplify -1 into -1 13.455 * [taylor]: Taking taylor expansion of x in x 13.455 * [backup-simplify]: Simplify 0 into 0 13.455 * [backup-simplify]: Simplify 1 into 1 13.455 * [backup-simplify]: Simplify (/ -1 1) into -1 13.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.456 * [taylor]: Taking taylor expansion of -1 in x 13.456 * [backup-simplify]: Simplify -1 into -1 13.456 * [taylor]: Taking taylor expansion of x in x 13.456 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify 1 into 1 13.456 * [backup-simplify]: Simplify (/ -1 1) into -1 13.456 * [backup-simplify]: Simplify (* -1 -1) into 1 13.456 * [backup-simplify]: Simplify (+ 0 1) into 1 13.457 * [backup-simplify]: Simplify (sqrt 1) into 1 13.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.458 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.458 * [backup-simplify]: Simplify (+ 0 0) into 0 13.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.459 * [backup-simplify]: Simplify (/ 1 1) into 1 13.459 * [taylor]: Taking taylor expansion of 1/4 in x 13.459 * [backup-simplify]: Simplify 1/4 into 1/4 13.459 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) in x 13.459 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) -1/8) 13.459 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.459 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 13.459 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.459 * [taylor]: Taking taylor expansion of 1 in x 13.459 * [backup-simplify]: Simplify 1 into 1 13.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.459 * [taylor]: Taking taylor expansion of 1/2 in x 13.459 * [backup-simplify]: Simplify 1/2 into 1/2 13.459 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.459 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.459 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.459 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.459 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.459 * [taylor]: Taking taylor expansion of 1 in x 13.459 * [backup-simplify]: Simplify 1 into 1 13.459 * [taylor]: Taking taylor expansion of 1 in x 13.459 * [backup-simplify]: Simplify 1 into 1 13.459 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.459 * [taylor]: Taking taylor expansion of -1 in x 13.459 * [backup-simplify]: Simplify -1 into -1 13.459 * [taylor]: Taking taylor expansion of x in x 13.459 * [backup-simplify]: Simplify 0 into 0 13.459 * [backup-simplify]: Simplify 1 into 1 13.460 * [backup-simplify]: Simplify (/ -1 1) into -1 13.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.460 * [taylor]: Taking taylor expansion of -1 in x 13.460 * [backup-simplify]: Simplify -1 into -1 13.460 * [taylor]: Taking taylor expansion of x in x 13.460 * [backup-simplify]: Simplify 0 into 0 13.460 * [backup-simplify]: Simplify 1 into 1 13.460 * [backup-simplify]: Simplify (/ -1 1) into -1 13.460 * [backup-simplify]: Simplify (* -1 -1) into 1 13.461 * [backup-simplify]: Simplify (+ 0 1) into 1 13.461 * [backup-simplify]: Simplify (sqrt 1) into 1 13.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.462 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.462 * [backup-simplify]: Simplify (+ 0 0) into 0 13.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.463 * [backup-simplify]: Simplify (/ 1 1) into 1 13.463 * [backup-simplify]: Simplify (+ 1 0) into 1 13.463 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.463 * [taylor]: Taking taylor expansion of 1 in x 13.463 * [backup-simplify]: Simplify 1 into 1 13.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.464 * [taylor]: Taking taylor expansion of 1/2 in x 13.464 * [backup-simplify]: Simplify 1/2 into 1/2 13.464 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.464 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.464 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.464 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.464 * [taylor]: Taking taylor expansion of 1 in x 13.464 * [backup-simplify]: Simplify 1 into 1 13.464 * [taylor]: Taking taylor expansion of 1 in x 13.464 * [backup-simplify]: Simplify 1 into 1 13.464 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.464 * [taylor]: Taking taylor expansion of -1 in x 13.464 * [backup-simplify]: Simplify -1 into -1 13.464 * [taylor]: Taking taylor expansion of x in x 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify 1 into 1 13.464 * [backup-simplify]: Simplify (/ -1 1) into -1 13.464 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.464 * [taylor]: Taking taylor expansion of -1 in x 13.464 * [backup-simplify]: Simplify -1 into -1 13.464 * [taylor]: Taking taylor expansion of x in x 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify 1 into 1 13.464 * [backup-simplify]: Simplify (/ -1 1) into -1 13.465 * [backup-simplify]: Simplify (* -1 -1) into 1 13.465 * [backup-simplify]: Simplify (+ 0 1) into 1 13.465 * [backup-simplify]: Simplify (sqrt 1) into 1 13.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.467 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.467 * [backup-simplify]: Simplify (+ 0 0) into 0 13.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.467 * [backup-simplify]: Simplify (/ 1 1) into 1 13.467 * [taylor]: Taking taylor expansion of -1/8 in x 13.467 * [backup-simplify]: Simplify -1/8 into -1/8 13.468 * [backup-simplify]: Simplify (+ 1 0) into 1 13.468 * [backup-simplify]: Simplify (+ 1 0) into 1 13.468 * [backup-simplify]: Simplify (* 1 1) into 1 13.469 * [backup-simplify]: Simplify (+ 1 0) into 1 13.469 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.469 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 13.469 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 13.470 * [backup-simplify]: Simplify (* 1 1) into 1 13.470 * [backup-simplify]: Simplify (+ 1 0) into 1 13.470 * [backup-simplify]: Simplify (* 1 1) into 1 13.470 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 13.471 * [backup-simplify]: Simplify (/ 7/4 7/8) into 2 13.471 * [taylor]: Taking taylor expansion of (/ (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8)) in x 13.471 * [taylor]: Taking taylor expansion of (fma (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) in x 13.471 * [taylor]: Rewrote expression to (+ (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4)) 13.471 * [taylor]: Taking taylor expansion of (* (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.471 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.471 * [taylor]: Taking taylor expansion of 1 in x 13.471 * [backup-simplify]: Simplify 1 into 1 13.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.471 * [taylor]: Taking taylor expansion of 1/2 in x 13.471 * [backup-simplify]: Simplify 1/2 into 1/2 13.471 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.471 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.471 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.471 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.471 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.471 * [taylor]: Taking taylor expansion of 1 in x 13.471 * [backup-simplify]: Simplify 1 into 1 13.471 * [taylor]: Taking taylor expansion of 1 in x 13.471 * [backup-simplify]: Simplify 1 into 1 13.471 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.471 * [taylor]: Taking taylor expansion of -1 in x 13.471 * [backup-simplify]: Simplify -1 into -1 13.471 * [taylor]: Taking taylor expansion of x in x 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 1 into 1 13.471 * [backup-simplify]: Simplify (/ -1 1) into -1 13.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.471 * [taylor]: Taking taylor expansion of -1 in x 13.471 * [backup-simplify]: Simplify -1 into -1 13.471 * [taylor]: Taking taylor expansion of x in x 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 1 into 1 13.472 * [backup-simplify]: Simplify (/ -1 1) into -1 13.472 * [backup-simplify]: Simplify (* -1 -1) into 1 13.472 * [backup-simplify]: Simplify (+ 0 1) into 1 13.472 * [backup-simplify]: Simplify (sqrt 1) into 1 13.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.474 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.474 * [backup-simplify]: Simplify (+ 0 0) into 0 13.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.475 * [backup-simplify]: Simplify (/ 1 1) into 1 13.475 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.475 * [taylor]: Taking taylor expansion of 1 in x 13.475 * [backup-simplify]: Simplify 1 into 1 13.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.475 * [taylor]: Taking taylor expansion of 1/2 in x 13.475 * [backup-simplify]: Simplify 1/2 into 1/2 13.475 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.475 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.475 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.475 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.475 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.475 * [taylor]: Taking taylor expansion of 1 in x 13.475 * [backup-simplify]: Simplify 1 into 1 13.475 * [taylor]: Taking taylor expansion of 1 in x 13.475 * [backup-simplify]: Simplify 1 into 1 13.475 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.475 * [taylor]: Taking taylor expansion of -1 in x 13.475 * [backup-simplify]: Simplify -1 into -1 13.475 * [taylor]: Taking taylor expansion of x in x 13.475 * [backup-simplify]: Simplify 0 into 0 13.475 * [backup-simplify]: Simplify 1 into 1 13.475 * [backup-simplify]: Simplify (/ -1 1) into -1 13.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.475 * [taylor]: Taking taylor expansion of -1 in x 13.475 * [backup-simplify]: Simplify -1 into -1 13.475 * [taylor]: Taking taylor expansion of x in x 13.475 * [backup-simplify]: Simplify 0 into 0 13.476 * [backup-simplify]: Simplify 1 into 1 13.476 * [backup-simplify]: Simplify (/ -1 1) into -1 13.476 * [backup-simplify]: Simplify (* -1 -1) into 1 13.476 * [backup-simplify]: Simplify (+ 0 1) into 1 13.477 * [backup-simplify]: Simplify (sqrt 1) into 1 13.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.478 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.478 * [backup-simplify]: Simplify (+ 0 0) into 0 13.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.479 * [backup-simplify]: Simplify (/ 1 1) into 1 13.479 * [taylor]: Taking taylor expansion of (fma 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 1/4) in x 13.479 * [taylor]: Rewrote expression to (+ (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) 1/4) 13.479 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.479 * [taylor]: Taking taylor expansion of 1/2 in x 13.479 * [backup-simplify]: Simplify 1/2 into 1/2 13.479 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.479 * [taylor]: Taking taylor expansion of 1 in x 13.479 * [backup-simplify]: Simplify 1 into 1 13.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.479 * [taylor]: Taking taylor expansion of 1/2 in x 13.479 * [backup-simplify]: Simplify 1/2 into 1/2 13.479 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.479 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.479 * [taylor]: Taking taylor expansion of 1 in x 13.479 * [backup-simplify]: Simplify 1 into 1 13.479 * [taylor]: Taking taylor expansion of 1 in x 13.479 * [backup-simplify]: Simplify 1 into 1 13.479 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.479 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.479 * [taylor]: Taking taylor expansion of -1 in x 13.479 * [backup-simplify]: Simplify -1 into -1 13.479 * [taylor]: Taking taylor expansion of x in x 13.479 * [backup-simplify]: Simplify 0 into 0 13.479 * [backup-simplify]: Simplify 1 into 1 13.480 * [backup-simplify]: Simplify (/ -1 1) into -1 13.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.480 * [taylor]: Taking taylor expansion of -1 in x 13.480 * [backup-simplify]: Simplify -1 into -1 13.480 * [taylor]: Taking taylor expansion of x in x 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 1 into 1 13.480 * [backup-simplify]: Simplify (/ -1 1) into -1 13.480 * [backup-simplify]: Simplify (* -1 -1) into 1 13.481 * [backup-simplify]: Simplify (+ 0 1) into 1 13.481 * [backup-simplify]: Simplify (sqrt 1) into 1 13.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.482 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.483 * [backup-simplify]: Simplify (+ 0 0) into 0 13.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.483 * [backup-simplify]: Simplify (/ 1 1) into 1 13.483 * [taylor]: Taking taylor expansion of 1/4 in x 13.483 * [backup-simplify]: Simplify 1/4 into 1/4 13.483 * [taylor]: Taking taylor expansion of (fma (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) -1/8) in x 13.484 * [taylor]: Rewrote expression to (+ (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) -1/8) 13.484 * [taylor]: Taking taylor expansion of (* (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))) in x 13.484 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 13.484 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.484 * [taylor]: Taking taylor expansion of 1 in x 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.484 * [taylor]: Taking taylor expansion of 1/2 in x 13.484 * [backup-simplify]: Simplify 1/2 into 1/2 13.484 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.484 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.484 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.484 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.484 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.484 * [taylor]: Taking taylor expansion of 1 in x 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [taylor]: Taking taylor expansion of 1 in x 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.484 * [taylor]: Taking taylor expansion of -1 in x 13.484 * [backup-simplify]: Simplify -1 into -1 13.484 * [taylor]: Taking taylor expansion of x in x 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [backup-simplify]: Simplify (/ -1 1) into -1 13.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.484 * [taylor]: Taking taylor expansion of -1 in x 13.484 * [backup-simplify]: Simplify -1 into -1 13.484 * [taylor]: Taking taylor expansion of x in x 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify 1 into 1 13.485 * [backup-simplify]: Simplify (/ -1 1) into -1 13.485 * [backup-simplify]: Simplify (* -1 -1) into 1 13.485 * [backup-simplify]: Simplify (+ 0 1) into 1 13.486 * [backup-simplify]: Simplify (sqrt 1) into 1 13.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.487 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.487 * [backup-simplify]: Simplify (+ 0 0) into 0 13.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.488 * [backup-simplify]: Simplify (/ 1 1) into 1 13.488 * [backup-simplify]: Simplify (+ 1 0) into 1 13.488 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.488 * [taylor]: Taking taylor expansion of 1 in x 13.488 * [backup-simplify]: Simplify 1 into 1 13.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.488 * [taylor]: Taking taylor expansion of 1/2 in x 13.488 * [backup-simplify]: Simplify 1/2 into 1/2 13.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.488 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.488 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.488 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.488 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.488 * [taylor]: Taking taylor expansion of 1 in x 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [taylor]: Taking taylor expansion of 1 in x 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.489 * [taylor]: Taking taylor expansion of -1 in x 13.489 * [backup-simplify]: Simplify -1 into -1 13.489 * [taylor]: Taking taylor expansion of x in x 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [backup-simplify]: Simplify (/ -1 1) into -1 13.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.489 * [taylor]: Taking taylor expansion of -1 in x 13.489 * [backup-simplify]: Simplify -1 into -1 13.489 * [taylor]: Taking taylor expansion of x in x 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [backup-simplify]: Simplify (/ -1 1) into -1 13.489 * [backup-simplify]: Simplify (* -1 -1) into 1 13.490 * [backup-simplify]: Simplify (+ 0 1) into 1 13.490 * [backup-simplify]: Simplify (sqrt 1) into 1 13.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.491 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.492 * [backup-simplify]: Simplify (+ 0 0) into 0 13.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.492 * [backup-simplify]: Simplify (/ 1 1) into 1 13.492 * [taylor]: Taking taylor expansion of -1/8 in x 13.492 * [backup-simplify]: Simplify -1/8 into -1/8 13.493 * [backup-simplify]: Simplify (+ 1 0) into 1 13.493 * [backup-simplify]: Simplify (+ 1 0) into 1 13.493 * [backup-simplify]: Simplify (* 1 1) into 1 13.493 * [backup-simplify]: Simplify (+ 1 0) into 1 13.494 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.494 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 13.494 * [backup-simplify]: Simplify (+ 1 3/4) into 7/4 13.495 * [backup-simplify]: Simplify (* 1 1) into 1 13.495 * [backup-simplify]: Simplify (+ 1 0) into 1 13.495 * [backup-simplify]: Simplify (* 1 1) into 1 13.495 * [backup-simplify]: Simplify (+ 1 -1/8) into 7/8 13.496 * [backup-simplify]: Simplify (/ 7/4 7/8) into 2 13.496 * [backup-simplify]: Simplify 2 into 2 13.496 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.496 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.497 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.497 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.497 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.497 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.498 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.498 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.498 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.499 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.499 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (* 0 1)) into -1/4 13.500 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 13.500 * [backup-simplify]: Simplify (+ -1 -1/4) into -5/4 13.500 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.501 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.501 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.501 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.502 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.502 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.503 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1 1)) into -3/2 13.503 * [backup-simplify]: Simplify (+ -3/2 0) into -3/2 13.504 * [backup-simplify]: Simplify (- (/ -5/4 7/8) (+ (* 2 (/ -3/2 7/8)))) into 2 13.504 * [backup-simplify]: Simplify 2 into 2 13.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.505 * [backup-simplify]: Simplify (- 0) into 0 13.505 * [backup-simplify]: Simplify (+ 0 0) into 0 13.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.506 * [backup-simplify]: Simplify (- 0) into 0 13.507 * [backup-simplify]: Simplify (+ 0 0) into 0 13.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.508 * [backup-simplify]: Simplify (- 0) into 0 13.509 * [backup-simplify]: Simplify (+ 0 0) into 0 13.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (* 0 1))) into 0 13.509 * [backup-simplify]: Simplify (+ 0 0) into 0 13.510 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.512 * [backup-simplify]: Simplify (- 0) into 0 13.512 * [backup-simplify]: Simplify (+ 0 0) into 0 13.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.515 * [backup-simplify]: Simplify (- 0) into 0 13.515 * [backup-simplify]: Simplify (+ 0 0) into 0 13.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 -1/2) (* 1/4 1))) into 3/4 13.518 * [backup-simplify]: Simplify (+ 3/4 0) into 3/4 13.520 * [backup-simplify]: Simplify (- (/ 1/4 7/8) (+ (* 2 (/ 3/4 7/8)) (* 2 (/ -3/2 7/8)))) into 2 13.520 * [backup-simplify]: Simplify 2 into 2 13.520 * [backup-simplify]: Simplify (+ (* 2 (pow (/ 1 (- x)) 2)) (+ (* 2 (/ 1 (- x))) 2)) into (- (+ (* 2 (/ 1 (pow x 2))) 2) (* 2 (/ 1 x))) 13.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 13.521 * [backup-simplify]: Simplify (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) into (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) 13.521 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in (x) around 0 13.521 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 13.521 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.521 * [taylor]: Taking taylor expansion of 1 in x 13.521 * [backup-simplify]: Simplify 1 into 1 13.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.521 * [taylor]: Taking taylor expansion of 1/2 in x 13.521 * [backup-simplify]: Simplify 1/2 into 1/2 13.521 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.521 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.521 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.521 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.521 * [taylor]: Taking taylor expansion of 1 in x 13.521 * [backup-simplify]: Simplify 1 into 1 13.521 * [taylor]: Taking taylor expansion of 1 in x 13.521 * [backup-simplify]: Simplify 1 into 1 13.521 * [taylor]: Taking taylor expansion of (* x x) in x 13.521 * [taylor]: Taking taylor expansion of x in x 13.521 * [backup-simplify]: Simplify 0 into 0 13.521 * [backup-simplify]: Simplify 1 into 1 13.521 * [taylor]: Taking taylor expansion of x in x 13.521 * [backup-simplify]: Simplify 0 into 0 13.521 * [backup-simplify]: Simplify 1 into 1 13.522 * [backup-simplify]: Simplify (* 1 1) into 1 13.522 * [backup-simplify]: Simplify (* 0 0) into 0 13.522 * [backup-simplify]: Simplify (+ 1 0) into 1 13.522 * [backup-simplify]: Simplify (sqrt 1) into 1 13.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.523 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.523 * [backup-simplify]: Simplify (+ 0 0) into 0 13.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.524 * [backup-simplify]: Simplify (/ 1 1) into 1 13.524 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.524 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.525 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.525 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 x)))) 2) in x 13.525 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 x)))) in x 13.525 * [taylor]: Taking taylor expansion of 1 in x 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 13.525 * [taylor]: Taking taylor expansion of 1/2 in x 13.525 * [backup-simplify]: Simplify 1/2 into 1/2 13.525 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 13.525 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 13.525 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 13.525 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 13.525 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.525 * [taylor]: Taking taylor expansion of 1 in x 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [taylor]: Taking taylor expansion of 1 in x 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [taylor]: Taking taylor expansion of (* x x) in x 13.525 * [taylor]: Taking taylor expansion of x in x 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [taylor]: Taking taylor expansion of x in x 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [backup-simplify]: Simplify (* 1 1) into 1 13.526 * [backup-simplify]: Simplify (* 0 0) into 0 13.526 * [backup-simplify]: Simplify (+ 1 0) into 1 13.526 * [backup-simplify]: Simplify (sqrt 1) into 1 13.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.527 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.527 * [backup-simplify]: Simplify (+ 0 0) into 0 13.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.528 * [backup-simplify]: Simplify (/ 1 1) into 1 13.528 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.528 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.528 * [backup-simplify]: Simplify (+ 1 -1/2) into 1/2 13.529 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.529 * [backup-simplify]: Simplify 1/4 into 1/4 13.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.534 * [backup-simplify]: Simplify (- 0) into 0 13.535 * [backup-simplify]: Simplify (+ 0 0) into 0 13.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1/2)) into 0 13.535 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.537 * [backup-simplify]: Simplify (+ 0 1) into 1 13.537 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 13.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 13.539 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 13.539 * [backup-simplify]: Simplify (- -1/4) into 1/4 13.539 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.540 * [backup-simplify]: Simplify (+ (* 1/2 1/4) (+ (* 0 0) (* 1/4 1/2))) into 1/4 13.540 * [backup-simplify]: Simplify 1/4 into 1/4 13.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.541 * [backup-simplify]: Simplify (+ 0 0) into 0 13.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 13.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 13.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 13.544 * [backup-simplify]: Simplify (- 0) into 0 13.544 * [backup-simplify]: Simplify (+ 0 0) into 0 13.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/4) (+ (* 1/4 0) (* 0 1/2)))) into 0 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.547 * [backup-simplify]: Simplify (+ 0 0) into 0 13.547 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 13.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 13.549 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 13.550 * [backup-simplify]: Simplify (- 3/16) into -3/16 13.550 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 13.551 * [backup-simplify]: Simplify (+ (* 1/2 -3/16) (+ (* 0 0) (+ (* 1/4 1/4) (+ (* 0 0) (* -3/16 1/2))))) into -1/8 13.551 * [backup-simplify]: Simplify -1/8 into -1/8 13.551 * [backup-simplify]: Simplify (+ (* -1/8 (pow x 4)) (+ (* 1/4 (pow x 2)) 1/4)) into (- (+ (* 1/4 (pow x 2)) 1/4) (* 1/8 (pow x 4))) 13.551 * [backup-simplify]: Simplify (* (+ 1 (/ -1/2 (hypot 1 (/ 1 x)))) (+ 1 (/ -1/2 (hypot 1 (/ 1 x))))) into (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) 13.551 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in (x) around 0 13.551 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 13.551 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.551 * [taylor]: Taking taylor expansion of 1 in x 13.551 * [backup-simplify]: Simplify 1 into 1 13.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.551 * [taylor]: Taking taylor expansion of 1/2 in x 13.551 * [backup-simplify]: Simplify 1/2 into 1/2 13.551 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.551 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.551 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.551 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.551 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.551 * [taylor]: Taking taylor expansion of 1 in x 13.552 * [backup-simplify]: Simplify 1 into 1 13.552 * [taylor]: Taking taylor expansion of 1 in x 13.552 * [backup-simplify]: Simplify 1 into 1 13.552 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.552 * [taylor]: Taking taylor expansion of x in x 13.552 * [backup-simplify]: Simplify 0 into 0 13.552 * [backup-simplify]: Simplify 1 into 1 13.552 * [backup-simplify]: Simplify (/ 1 1) into 1 13.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.552 * [taylor]: Taking taylor expansion of x in x 13.552 * [backup-simplify]: Simplify 0 into 0 13.552 * [backup-simplify]: Simplify 1 into 1 13.552 * [backup-simplify]: Simplify (/ 1 1) into 1 13.552 * [backup-simplify]: Simplify (* 1 1) into 1 13.553 * [backup-simplify]: Simplify (+ 0 1) into 1 13.553 * [backup-simplify]: Simplify (sqrt 1) into 1 13.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.554 * [backup-simplify]: Simplify (+ 0 0) into 0 13.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.555 * [backup-simplify]: Simplify (/ 1 1) into 1 13.555 * [backup-simplify]: Simplify (+ 1 0) into 1 13.555 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 2) in x 13.555 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 13.556 * [taylor]: Taking taylor expansion of 1 in x 13.556 * [backup-simplify]: Simplify 1 into 1 13.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 13.556 * [taylor]: Taking taylor expansion of 1/2 in x 13.556 * [backup-simplify]: Simplify 1/2 into 1/2 13.556 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 13.556 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 13.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 13.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 13.556 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.556 * [taylor]: Taking taylor expansion of 1 in x 13.556 * [backup-simplify]: Simplify 1 into 1 13.556 * [taylor]: Taking taylor expansion of 1 in x 13.556 * [backup-simplify]: Simplify 1 into 1 13.556 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 13.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.556 * [taylor]: Taking taylor expansion of x in x 13.556 * [backup-simplify]: Simplify 0 into 0 13.556 * [backup-simplify]: Simplify 1 into 1 13.556 * [backup-simplify]: Simplify (/ 1 1) into 1 13.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.556 * [taylor]: Taking taylor expansion of x in x 13.556 * [backup-simplify]: Simplify 0 into 0 13.556 * [backup-simplify]: Simplify 1 into 1 13.556 * [backup-simplify]: Simplify (/ 1 1) into 1 13.557 * [backup-simplify]: Simplify (* 1 1) into 1 13.557 * [backup-simplify]: Simplify (+ 0 1) into 1 13.557 * [backup-simplify]: Simplify (sqrt 1) into 1 13.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.559 * [backup-simplify]: Simplify (+ 0 0) into 0 13.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.559 * [backup-simplify]: Simplify (/ 1 1) into 1 13.560 * [backup-simplify]: Simplify (+ 1 0) into 1 13.560 * [backup-simplify]: Simplify (* 1 1) into 1 13.560 * [backup-simplify]: Simplify 1 into 1 13.560 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.560 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.561 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.561 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.561 * [backup-simplify]: Simplify -1 into -1 13.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.562 * [backup-simplify]: Simplify (- 0) into 0 13.563 * [backup-simplify]: Simplify (+ 0 0) into 0 13.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.563 * [backup-simplify]: Simplify 1/4 into 1/4 13.563 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ (* 1/4 (/ 1 (pow x 2))) 1) (/ 1 x)) 13.564 * [backup-simplify]: Simplify (* (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (/ -1/2 (hypot 1 (/ 1 (- x)))))) into (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) 13.564 * [approximate]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in (x) around 0 13.564 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 13.564 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.564 * [taylor]: Taking taylor expansion of 1 in x 13.564 * [backup-simplify]: Simplify 1 into 1 13.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.564 * [taylor]: Taking taylor expansion of 1/2 in x 13.564 * [backup-simplify]: Simplify 1/2 into 1/2 13.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.564 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.564 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.564 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.564 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.564 * [taylor]: Taking taylor expansion of 1 in x 13.564 * [backup-simplify]: Simplify 1 into 1 13.564 * [taylor]: Taking taylor expansion of 1 in x 13.564 * [backup-simplify]: Simplify 1 into 1 13.564 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.564 * [taylor]: Taking taylor expansion of -1 in x 13.564 * [backup-simplify]: Simplify -1 into -1 13.564 * [taylor]: Taking taylor expansion of x in x 13.564 * [backup-simplify]: Simplify 0 into 0 13.564 * [backup-simplify]: Simplify 1 into 1 13.564 * [backup-simplify]: Simplify (/ -1 1) into -1 13.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.564 * [taylor]: Taking taylor expansion of -1 in x 13.564 * [backup-simplify]: Simplify -1 into -1 13.564 * [taylor]: Taking taylor expansion of x in x 13.564 * [backup-simplify]: Simplify 0 into 0 13.564 * [backup-simplify]: Simplify 1 into 1 13.565 * [backup-simplify]: Simplify (/ -1 1) into -1 13.565 * [backup-simplify]: Simplify (* -1 -1) into 1 13.565 * [backup-simplify]: Simplify (+ 0 1) into 1 13.565 * [backup-simplify]: Simplify (sqrt 1) into 1 13.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.567 * [backup-simplify]: Simplify (+ 0 0) into 0 13.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.568 * [backup-simplify]: Simplify (/ 1 1) into 1 13.568 * [backup-simplify]: Simplify (+ 1 0) into 1 13.568 * [taylor]: Taking taylor expansion of (pow (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 2) in x 13.568 * [taylor]: Taking taylor expansion of (- 1 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 13.568 * [taylor]: Taking taylor expansion of 1 in x 13.568 * [backup-simplify]: Simplify 1 into 1 13.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 13.568 * [taylor]: Taking taylor expansion of 1/2 in x 13.568 * [backup-simplify]: Simplify 1/2 into 1/2 13.568 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 13.568 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 13.568 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 13.568 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 13.568 * [taylor]: Taking taylor expansion of (* 1 1) in x 13.568 * [taylor]: Taking taylor expansion of 1 in x 13.568 * [backup-simplify]: Simplify 1 into 1 13.568 * [taylor]: Taking taylor expansion of 1 in x 13.568 * [backup-simplify]: Simplify 1 into 1 13.568 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 13.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.568 * [taylor]: Taking taylor expansion of -1 in x 13.568 * [backup-simplify]: Simplify -1 into -1 13.568 * [taylor]: Taking taylor expansion of x in x 13.568 * [backup-simplify]: Simplify 0 into 0 13.568 * [backup-simplify]: Simplify 1 into 1 13.569 * [backup-simplify]: Simplify (/ -1 1) into -1 13.569 * [taylor]: Taking taylor expansion of (/ -1 x) in x 13.569 * [taylor]: Taking taylor expansion of -1 in x 13.569 * [backup-simplify]: Simplify -1 into -1 13.569 * [taylor]: Taking taylor expansion of x in x 13.569 * [backup-simplify]: Simplify 0 into 0 13.569 * [backup-simplify]: Simplify 1 into 1 13.569 * [backup-simplify]: Simplify (/ -1 1) into -1 13.569 * [backup-simplify]: Simplify (* -1 -1) into 1 13.570 * [backup-simplify]: Simplify (+ 0 1) into 1 13.570 * [backup-simplify]: Simplify (sqrt 1) into 1 13.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.573 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.573 * [backup-simplify]: Simplify (+ 0 0) into 0 13.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.574 * [backup-simplify]: Simplify (/ 1 1) into 1 13.575 * [backup-simplify]: Simplify (+ 1 0) into 1 13.575 * [backup-simplify]: Simplify (* 1 1) into 1 13.575 * [backup-simplify]: Simplify 1 into 1 13.576 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.576 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.577 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.577 * [backup-simplify]: Simplify (+ (* 1 -1/2) (* -1/2 1)) into -1 13.577 * [backup-simplify]: Simplify -1 into -1 13.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.579 * [backup-simplify]: Simplify (- 0) into 0 13.580 * [backup-simplify]: Simplify (+ 0 0) into 0 13.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1/2 -1/2) (* 0 1))) into 1/4 13.581 * [backup-simplify]: Simplify 1/4 into 1/4 13.581 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) 1)) into (+ (* 1/4 (/ 1 (pow x 2))) (+ (/ 1 x) 1)) 13.581 * * * [progress]: simplifying candidates 13.581 * * * * [progress]: [ 1 / 175 ] simplifiying candidate # 13.581 * * * * [progress]: [ 2 / 175 ] simplifiying candidate # 13.581 * * * * [progress]: [ 3 / 175 ] simplifiying candidate # 13.581 * * * * [progress]: [ 4 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 5 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 6 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 7 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 8 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 9 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 10 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 11 / 175 ] simplifiying candidate #real (real->posit16 (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 13.582 * * * * [progress]: [ 12 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 13 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 14 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 15 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 16 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 17 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 18 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 19 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 20 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 21 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 22 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 23 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 24 / 175 ] simplifiying candidate # 13.582 * * * * [progress]: [ 25 / 175 ] simplifiying candidate # 13.583 * * * * [progress]: [ 26 / 175 ] simplifiying candidate # 13.583 * * * * [progress]: [ 27 / 175 ] simplifiying candidate # 13.583 * * * * [progress]: [ 28 / 175 ] simplifiying candidate # 13.583 * * * * [progress]: [ 29 / 175 ] simplifiying candidate # 13.583 * * * * [progress]: [ 30 / 175 ] simplifiying candidate # 13.583 * * * * [progress]: [ 31 / 175 ] simplifiying candidate # 13.583 * * * * [progress]: [ 32 / 175 ] simplifiying candidate # 13.583 * * * * 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13.585 * * * * [progress]: [ 64 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 65 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 66 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 67 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 68 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 69 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 70 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 71 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 72 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 73 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 74 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 75 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 76 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 77 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 78 / 175 ] simplifiying candidate # 13.585 * * * * [progress]: [ 79 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 80 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 81 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 82 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 83 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 84 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 85 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 86 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 87 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 88 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 89 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 90 / 175 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (fma (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 x))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 13.586 * * * * [progress]: [ 91 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 92 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 93 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 94 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 95 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 96 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 97 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 98 / 175 ] simplifiying candidate # 13.586 * * * * [progress]: [ 99 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 100 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 101 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 102 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 103 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 104 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 105 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 106 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 107 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 108 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 109 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 110 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 111 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 112 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 113 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 114 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 115 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 116 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 117 / 175 ] simplifiying candidate # 13.587 * * * * [progress]: [ 118 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 119 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 120 / 175 ] simplifiying candidate #real (real->posit16 (/ (fma (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x))) (fma 1/2 (+ 1 (/ -1/2 (hypot 1 x))) 1/4)) (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 13.588 * * * * [progress]: [ 121 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 122 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 123 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 124 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 125 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 126 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 127 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 128 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 129 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 130 / 175 ] simplifiying candidate # 13.588 * * * * [progress]: [ 131 / 175 ] 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simplifiying candidate # 13.589 * * * * [progress]: [ 147 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 148 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 149 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 150 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 151 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 152 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 153 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 154 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 155 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 156 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 157 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 158 / 175 ] simplifiying candidate # 13.589 * * * * [progress]: [ 159 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 160 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 161 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 162 / 175 ] simplifiying candidate #real (real->posit16 (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))> 13.590 * * * * [progress]: [ 163 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 164 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 165 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 166 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 167 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 168 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 169 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 170 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 171 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 172 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 173 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 174 / 175 ] simplifiying candidate # 13.590 * * * * [progress]: [ 175 / 175 ] simplifiying candidate # 13.593 * [simplify]: Simplifying: (expm1 (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (log1p (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (* (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x)))) (log (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (exp (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (* (cbrt (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (cbrt (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8))) (cbrt (fma (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x))) -1/8)) (* (* (fma (* (+ 1 (/ -1/2 (hypot 1 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Extracting #2: cost 748 inf + 975 14.550 * * [simplify]: Extracting #3: cost 679 inf + 7734 14.557 * * [simplify]: Extracting #4: cost 534 inf + 33827 14.600 * * [simplify]: Extracting #5: cost 228 inf + 115728 14.638 * * [simplify]: Extracting #6: cost 74 inf + 171106 14.680 * * [simplify]: Extracting #7: cost 14 inf + 199162 14.726 * * [simplify]: Extracting #8: cost 0 inf + 206567 14.799 * [simplify]: Simplified to: (expm1 (fma (+ 1 (/ -1/2 (hypot 1 x))) (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) -1/8)) (log1p (fma (+ 1 (/ -1/2 (hypot 1 x))) (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) -1/8)) (* (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) (+ 1 (/ -1/2 (hypot 1 x)))) (log (fma (+ 1 (/ -1/2 (hypot 1 x))) (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) -1/8)) (exp (fma (+ 1 (/ -1/2 (hypot 1 x))) (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x)))) -1/8)) (* (cbrt (fma (+ 1 (/ -1/2 (hypot 1 x))) (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 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(real->posit16 (* (+ 1 (/ -1/2 (hypot 1 x))) (+ 1 (/ -1/2 (hypot 1 x))))) (- (* 3/16 (* x x)) (fma 3/64 (* (* x x) (* x x)) (* (* (* (* x x) (* x x)) (* x x)) 1/128))) (- (+ (/ 3/4 (* x x)) 7/8) (/ 3/2 x)) (+ 7/8 (+ (/ 3/2 x) (/ 3/4 (* x x)))) (fma (* x x) 1/4 (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (* (- (* (* x x) (* x x))) 3/16))) (- (+ 1/2 (/ (/ 1/4 (* x x)) x)) (/ 1/2 x)) (+ 1/2 (- (/ 1/2 x) (/ (/ 1/4 (* x x)) x))) (+ (/ 4 (* x x)) (- 3 (* (* x x) 1/4))) (+ (/ 2 (* x x)) (+ (/ 2 x) 2)) (- (+ (/ 2 (* x x)) 2) (/ 2 x)) (fma (* x x) 1/4 (- 1/4 (* (* 1/8 (* x x)) (* x x)))) (+ (/ 1/4 (* x x)) (- 1 (/ 1 x))) (+ (/ 1/4 (* x x)) (+ 1 (/ 1 x))) 14.837 * * * [progress]: adding candidates to table 17.461 * [progress]: [Phase 3 of 3] Extracting. 17.461 * * [regime]: Finding splitpoints for: (# # # # # # #) 17.463 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1 x) x) 17.463 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # # # # #) 17.521 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 17.568 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 17.659 * * * [regime]: Found split indices: #