0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.121 * [progress]: [Phase 2 of 3] Improving. 0.121 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.121 * [simplify]: Simplifying: (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.121 * * [simplify]: iteration 1: (9 enodes) 0.128 * * [simplify]: iteration 2: (39 enodes) 0.140 * * [simplify]: iteration 3: (53 enodes) 0.153 * * [simplify]: iteration 4: (55 enodes) 0.165 * * [simplify]: Extracting #0: cost 1 inf + 0 0.165 * * [simplify]: Extracting #1: cost 5 inf + 0 0.165 * * [simplify]: Extracting #2: cost 7 inf + 1 0.165 * * [simplify]: Extracting #3: cost 12 inf + 1 0.165 * * [simplify]: Extracting #4: cost 15 inf + 2 0.165 * * [simplify]: Extracting #5: cost 17 inf + 2 0.166 * * [simplify]: Extracting #6: cost 15 inf + 60 0.166 * * [simplify]: Extracting #7: cost 6 inf + 1143 0.167 * * [simplify]: Extracting #8: cost 0 inf + 2360 0.168 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.168 * [simplify]: Simplified to: (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.178 * * [progress]: iteration 1 / 4 0.178 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.232 * * * [progress]: generating rewritten candidates 0.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.280 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.307 * * * [progress]: generating series expansions 0.307 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.307 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.307 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.307 * [taylor]: Taking taylor expansion of 1 in x 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.307 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of 1/2 in x 0.307 * [backup-simplify]: Simplify 1/2 into 1/2 0.307 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.307 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.307 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.307 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.307 * [taylor]: Taking taylor expansion of 1 in x 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of 1 in x 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (* x x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (* 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [backup-simplify]: Simplify (sqrt 1) into 1 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of 1/2 in x 0.310 * [backup-simplify]: Simplify 1/2 into 1/2 0.311 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.311 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.311 * [backup-simplify]: Simplify (sqrt 1) into 1 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.313 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 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 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.313 * [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 0.314 * [backup-simplify]: Simplify (sqrt 1) into 1 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1/2 in x 0.316 * [backup-simplify]: Simplify 1/2 into 1/2 0.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.317 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.317 * [backup-simplify]: Simplify (sqrt 1) into 1 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.319 * [backup-simplify]: Simplify (- 1) into -1 0.319 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.321 * [backup-simplify]: Simplify (+ 0 1) into 1 0.321 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.323 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.323 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.324 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.324 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.325 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.325 * [backup-simplify]: Simplify 1/8 into 1/8 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.333 * [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 0) (+ (* 0 0) (* 0 1))))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.341 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.342 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.343 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.344 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.344 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.344 * [backup-simplify]: Simplify -11/128 into -11/128 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.365 * [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 0.367 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.368 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.370 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.370 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.371 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.371 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.371 * [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))) 0.371 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) 0.372 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.372 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.372 * [taylor]: Taking taylor expansion of 1/2 in x 0.372 * [backup-simplify]: Simplify 1/2 into 1/2 0.372 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.372 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.372 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.372 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.375 * [backup-simplify]: Simplify (sqrt 1) into 1 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.379 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.379 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.380 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.380 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.382 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.382 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.382 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.382 * [taylor]: Taking taylor expansion of 1/2 in x 0.382 * [backup-simplify]: Simplify 1/2 into 1/2 0.382 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.382 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.382 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of 1 in x 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (+ 0 1) into 1 0.384 * [backup-simplify]: Simplify (sqrt 1) into 1 0.385 * [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 0.389 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.389 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.389 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.390 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.391 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.392 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.394 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.395 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.396 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.400 * [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)))) 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.412 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.416 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.419 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.425 * [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))) 0.425 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) 0.425 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.425 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.425 * [taylor]: Taking taylor expansion of 1 in x 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.425 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.425 * [taylor]: Taking taylor expansion of 1/2 in x 0.425 * [backup-simplify]: Simplify 1/2 into 1/2 0.425 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.425 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.425 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.425 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.425 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.425 * [taylor]: Taking taylor expansion of 1 in x 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of 1 in x 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ -1 1) into -1 0.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ -1 1) into -1 0.427 * [backup-simplify]: Simplify (* -1 -1) into 1 0.427 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (sqrt 1) into 1 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of 1/2 in x 0.435 * [backup-simplify]: Simplify 1/2 into 1/2 0.436 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.436 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.437 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.438 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.438 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.439 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.439 * [taylor]: Taking taylor expansion of 1/2 in x 0.439 * [backup-simplify]: Simplify 1/2 into 1/2 0.439 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.439 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.439 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.439 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.439 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.439 * [taylor]: Taking taylor expansion of 1 in x 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of 1 in x 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.439 * [taylor]: Taking taylor expansion of -1 in x 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ -1 1) into -1 0.440 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.440 * [taylor]: Taking taylor expansion of -1 in x 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ -1 1) into -1 0.441 * [backup-simplify]: Simplify (* -1 -1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.441 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of 1/2 in x 0.445 * [backup-simplify]: Simplify 1/2 into 1/2 0.446 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.446 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.447 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.447 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.448 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.449 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.451 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.452 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.453 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.457 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.459 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.469 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.471 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.472 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.476 * [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)) 0.476 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.476 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.476 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1/2 in x 0.476 * [backup-simplify]: Simplify 1/2 into 1/2 0.476 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.476 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.476 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.476 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.476 * [taylor]: Taking taylor expansion of 1 in x 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [taylor]: Taking taylor expansion of 1 in x 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [taylor]: Taking taylor expansion of (* x x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (* 0 0) into 0 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (sqrt 1) into 1 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.479 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.479 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of 1/2 in x 0.479 * [backup-simplify]: Simplify 1/2 into 1/2 0.479 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.479 * [taylor]: Taking taylor expansion of 1 in x 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of 1 in x 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of (* x x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (* 0 0) into 0 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.482 * [backup-simplify]: Simplify 1/2 into 1/2 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.484 * [backup-simplify]: Simplify (+ 0 1) into 1 0.485 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.486 * [backup-simplify]: Simplify -1/4 into -1/4 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.492 * [backup-simplify]: Simplify 3/16 into 3/16 0.492 * [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))) 0.493 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.493 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.493 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of 1/2 in x 0.493 * [backup-simplify]: Simplify 1/2 into 1/2 0.493 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.493 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.493 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.493 * [taylor]: Taking taylor expansion of 1 in x 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of 1 in x 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ 0 1) into 1 0.494 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.496 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.496 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of 1/2 in x 0.497 * [backup-simplify]: Simplify 1/2 into 1/2 0.497 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.497 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.497 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.497 * [taylor]: Taking taylor expansion of 1 in x 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of 1 in x 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ 0 1) into 1 0.498 * [backup-simplify]: Simplify (sqrt 1) into 1 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.500 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.500 * [backup-simplify]: Simplify 1/2 into 1/2 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [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 0.505 * [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 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.516 * [backup-simplify]: Simplify 3/16 into 3/16 0.517 * [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)))) 0.517 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.517 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.517 * [taylor]: Taking taylor expansion of 1/2 in x 0.517 * [backup-simplify]: Simplify 1/2 into 1/2 0.517 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.517 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.517 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.517 * [taylor]: Taking taylor expansion of 1 in x 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of 1 in x 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.517 * [taylor]: Taking taylor expansion of -1 in x 0.517 * [backup-simplify]: Simplify -1 into -1 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ -1 1) into -1 0.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [backup-simplify]: Simplify -1 into -1 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (/ -1 1) into -1 0.519 * [backup-simplify]: Simplify (* -1 -1) into 1 0.519 * [backup-simplify]: Simplify (+ 0 1) into 1 0.520 * [backup-simplify]: Simplify (sqrt 1) into 1 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.523 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.524 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.524 * [taylor]: Taking taylor expansion of 1/2 in x 0.524 * [backup-simplify]: Simplify 1/2 into 1/2 0.524 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.524 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.524 * [taylor]: Taking taylor expansion of 1 in x 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of 1 in x 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [backup-simplify]: Simplify -1 into -1 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (/ -1 1) into -1 0.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.525 * [backup-simplify]: Simplify -1 into -1 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ -1 1) into -1 0.526 * [backup-simplify]: Simplify (* -1 -1) into 1 0.526 * [backup-simplify]: Simplify (+ 0 1) into 1 0.526 * [backup-simplify]: Simplify (sqrt 1) into 1 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.531 * [backup-simplify]: Simplify 1/2 into 1/2 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [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 0.537 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.538 * [backup-simplify]: Simplify -1/4 into -1/4 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.557 * [backup-simplify]: Simplify 3/16 into 3/16 0.557 * [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)))) 0.557 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.557 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.557 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of 1/2 in x 0.557 * [backup-simplify]: Simplify 1/2 into 1/2 0.557 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.558 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.558 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.558 * [taylor]: Taking taylor expansion of 1 in x 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of 1 in x 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of (* x x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (* 0 0) into 0 0.559 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify (sqrt 1) into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [taylor]: Taking taylor expansion of 1/2 in x 0.562 * [backup-simplify]: Simplify 1/2 into 1/2 0.562 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of 1/2 in x 0.562 * [backup-simplify]: Simplify 1/2 into 1/2 0.562 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.562 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.562 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.562 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.562 * [taylor]: Taking taylor expansion of 1 in x 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of 1 in x 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of (* x x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (* 0 0) into 0 0.563 * [backup-simplify]: Simplify (+ 1 0) into 1 0.564 * [backup-simplify]: Simplify (sqrt 1) into 1 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of 1/2 in x 0.567 * [backup-simplify]: Simplify 1/2 into 1/2 0.567 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.567 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.567 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.571 * [backup-simplify]: Simplify (+ 0 1) into 1 0.572 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.574 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.575 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.575 * [backup-simplify]: Simplify -1/4 into -1/4 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.590 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.590 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.590 * [backup-simplify]: Simplify 3/16 into 3/16 0.591 * [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))) 0.591 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.591 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.591 * [taylor]: Taking taylor expansion of 1/2 in x 0.591 * [backup-simplify]: Simplify 1/2 into 1/2 0.591 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.591 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.591 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.591 * [taylor]: Taking taylor expansion of 1 in x 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of 1 in x 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (+ 0 1) into 1 0.593 * [backup-simplify]: Simplify (sqrt 1) into 1 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of 1/2 in x 0.597 * [backup-simplify]: Simplify 1/2 into 1/2 0.597 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.597 * [taylor]: Taking taylor expansion of 1/2 in x 0.597 * [backup-simplify]: Simplify 1/2 into 1/2 0.597 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.597 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.597 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (+ 0 1) into 1 0.600 * [backup-simplify]: Simplify (sqrt 1) into 1 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of 1/2 in x 0.603 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.604 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.605 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.605 * [backup-simplify]: Simplify 1/2 into 1/2 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.610 * [backup-simplify]: Simplify (+ 1 0) into 1 0.611 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.614 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.614 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.614 * [backup-simplify]: Simplify -1/4 into -1/4 0.614 * [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)))) 0.615 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.615 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.615 * [taylor]: Taking taylor expansion of 1/2 in x 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.615 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.615 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [backup-simplify]: Simplify -1 into -1 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (/ -1 1) into -1 0.616 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [backup-simplify]: Simplify -1 into -1 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (/ -1 1) into -1 0.617 * [backup-simplify]: Simplify (* -1 -1) into 1 0.617 * [backup-simplify]: Simplify (+ 0 1) into 1 0.618 * [backup-simplify]: Simplify (sqrt 1) into 1 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [taylor]: Taking taylor expansion of 1/2 in x 0.621 * [backup-simplify]: Simplify 1/2 into 1/2 0.621 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of 1/2 in x 0.621 * [backup-simplify]: Simplify 1/2 into 1/2 0.621 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.621 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.621 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.621 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.621 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.621 * [taylor]: Taking taylor expansion of 1 in x 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of 1 in x 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [backup-simplify]: Simplify -1 into -1 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (/ -1 1) into -1 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [backup-simplify]: Simplify -1 into -1 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (/ -1 1) into -1 0.622 * [backup-simplify]: Simplify (* -1 -1) into 1 0.623 * [backup-simplify]: Simplify (+ 0 1) into 1 0.623 * [backup-simplify]: Simplify (sqrt 1) into 1 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [taylor]: Taking taylor expansion of 1/2 in x 0.625 * [backup-simplify]: Simplify 1/2 into 1/2 0.626 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.626 * [backup-simplify]: Simplify 1/2 into 1/2 0.626 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.626 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.626 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.630 * [backup-simplify]: Simplify (+ 1 0) into 1 0.630 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.632 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.632 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.632 * [backup-simplify]: Simplify -1/4 into -1/4 0.632 * [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))) 0.632 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.632 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.632 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of 1/2 in x 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.632 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.632 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.632 * [taylor]: Taking taylor expansion of 1 in x 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [taylor]: Taking taylor expansion of 1 in x 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [taylor]: Taking taylor expansion of (* x x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (* 0 0) into 0 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.634 * [backup-simplify]: Simplify (sqrt 1) into 1 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) 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 1) into 1 0.635 * [taylor]: Taking taylor expansion of 1/2 in x 0.635 * [backup-simplify]: Simplify 1/2 into 1/2 0.636 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.636 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.636 * [backup-simplify]: Simplify (sqrt 1) into 1 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.638 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.638 * [taylor]: Taking taylor expansion of 1/2 in x 0.638 * [backup-simplify]: Simplify 1/2 into 1/2 0.638 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.638 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.638 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.638 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.638 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.638 * [taylor]: Taking taylor expansion of 1 in x 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of 1 in x 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of (* x x) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (* 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ 1 0) into 1 0.639 * [backup-simplify]: Simplify (sqrt 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.641 * [backup-simplify]: Simplify (/ 1 1) into 1 0.641 * [taylor]: Taking taylor expansion of 1/2 in x 0.641 * [backup-simplify]: Simplify 1/2 into 1/2 0.641 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.642 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.642 * [backup-simplify]: Simplify (sqrt 1) into 1 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.645 * [backup-simplify]: Simplify (+ 0 1) into 1 0.645 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.647 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.647 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.648 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.648 * [backup-simplify]: Simplify -1/8 into -1/8 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.654 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.657 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.657 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.658 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.658 * [backup-simplify]: Simplify 11/128 into 11/128 0.658 * [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))) 0.658 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.658 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of 1/2 in x 0.659 * [backup-simplify]: Simplify 1/2 into 1/2 0.659 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.659 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.659 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.659 * [taylor]: Taking taylor expansion of 1 in x 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [taylor]: Taking taylor expansion of 1 in x 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (+ 0 1) into 1 0.660 * [backup-simplify]: Simplify (sqrt 1) into 1 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [taylor]: Taking taylor expansion of 1/2 in x 0.664 * [backup-simplify]: Simplify 1/2 into 1/2 0.664 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.664 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.665 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.665 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.666 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.666 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.666 * [taylor]: Taking taylor expansion of 1/2 in x 0.666 * [backup-simplify]: Simplify 1/2 into 1/2 0.666 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.666 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.666 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.666 * [taylor]: Taking taylor expansion of 1 in x 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [taylor]: Taking taylor expansion of 1 in x 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (* 1 1) into 1 0.667 * [backup-simplify]: Simplify (+ 0 1) into 1 0.668 * [backup-simplify]: Simplify (sqrt 1) into 1 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.670 * [backup-simplify]: Simplify (/ 1 1) into 1 0.670 * [taylor]: Taking taylor expansion of 1/2 in x 0.670 * [backup-simplify]: Simplify 1/2 into 1/2 0.670 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.671 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.671 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.671 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.672 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.672 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.673 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.679 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.681 * [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))))) 0.681 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.681 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.681 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of 1/2 in x 0.681 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.681 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.681 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.681 * [taylor]: Taking taylor expansion of 1 in x 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of 1 in x 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.681 * [taylor]: Taking taylor expansion of -1 in x 0.681 * [backup-simplify]: Simplify -1 into -1 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (/ -1 1) into -1 0.681 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.681 * [taylor]: Taking taylor expansion of -1 in x 0.681 * [backup-simplify]: Simplify -1 into -1 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (/ -1 1) into -1 0.682 * [backup-simplify]: Simplify (* -1 -1) into 1 0.682 * [backup-simplify]: Simplify (+ 0 1) into 1 0.682 * [backup-simplify]: Simplify (sqrt 1) into 1 0.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [taylor]: Taking taylor expansion of 1/2 in x 0.685 * [backup-simplify]: Simplify 1/2 into 1/2 0.685 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.685 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.686 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.687 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.687 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.687 * [taylor]: Taking taylor expansion of 1/2 in x 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.687 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.687 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.687 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.687 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.687 * [taylor]: Taking taylor expansion of 1 in x 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of 1 in x 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.687 * [taylor]: Taking taylor expansion of -1 in x 0.687 * [backup-simplify]: Simplify -1 into -1 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ -1 1) into -1 0.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.688 * [taylor]: Taking taylor expansion of -1 in x 0.688 * [backup-simplify]: Simplify -1 into -1 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ -1 1) into -1 0.688 * [backup-simplify]: Simplify (* -1 -1) into 1 0.688 * [backup-simplify]: Simplify (+ 0 1) into 1 0.689 * [backup-simplify]: Simplify (sqrt 1) into 1 0.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.693 * [backup-simplify]: Simplify (/ 1 1) into 1 0.693 * [taylor]: Taking taylor expansion of 1/2 in x 0.693 * [backup-simplify]: Simplify 1/2 into 1/2 0.693 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.694 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.694 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.694 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.696 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.696 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.697 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.706 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.709 * [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)))))) 0.709 * * * [progress]: simplifying candidates 0.709 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 0.709 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 0.709 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 0.710 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 16 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 0.711 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 0.712 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 46 / 137 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.713 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 0.713 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 0.714 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 76 / 137 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 0.715 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 0.715 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 103 / 137 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.716 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 0.716 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 0.717 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 124 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 125 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.718 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 0.718 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 0.721 * [simplify]: Simplifying: (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma 1 1 (- (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma 1 1 (- (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))) (fma (- (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma 1 1 (- (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (fma (- (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (fma 1 1 (- (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1)))) (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1))) (fma 1 1 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(- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (* (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (pow 1 3) (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 3)) (+ (* 1 1) (+ (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (* 1 1) (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt 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x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (expm1 (+ (/ 1/2 (hypot 1 x)) 1/2)) (log1p (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)) (log (+ (/ 1/2 (hypot 1 x)) 1/2)) (exp (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2))) (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2)) (- (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2) (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2)) (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))) (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) (/ 1 2) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 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)))))) 0.726 * * [simplify]: iteration 1: (213 enodes) 0.854 * * [simplify]: iteration 2: (860 enodes) 1.135 * * [simplify]: iteration 3: (1680 enodes) 1.735 * * [simplify]: Extracting #0: cost 95 inf + 0 1.737 * * [simplify]: Extracting #1: cost 493 inf + 44 1.742 * * [simplify]: Extracting #2: cost 874 inf + 13393 1.785 * * [simplify]: Extracting #3: cost 480 inf + 91843 1.841 * * [simplify]: Extracting #4: cost 86 inf + 205996 1.902 * * [simplify]: Extracting #5: cost 8 inf + 233594 1.950 * * [simplify]: Extracting #6: cost 0 inf + 236681 2.015 * * [simplify]: Extracting #7: cost 0 inf + 236606 2.106 * [simplify]: Simplified to: (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0) (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) 1) (- 1 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (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)))) (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8) (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))))) (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4) (- (/ 1/2 (hypot 1 x)) 1/2) (+ 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 (fma (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x)) 1/8)) (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))))) (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)) 1/2 (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (+ (+ (/ 1/16 (* (* (sqrt 1/2) x) x)) 1) (- (/ -1/4 (* (sqrt 1/2) x)) (sqrt 1/2))) (- (fma (/ 1/4 (sqrt 1/2)) (/ 1 x) (fma (/ 1/16 (sqrt 1/2)) (/ (/ 1 x) x) 1)) (sqrt 1/2)) (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1/2)) (- (/ 1/2 x) (fma (/ 1/2 x) (/ (/ 1/2 x) x) (/ -3/16 (pow x 5)))) (- (fma (/ 1/2 x) (/ (/ 1/2 x) x) (/ -3/16 (pow x 5))) (/ 1/2 x)) (fma (* x x) -1/4 (fma (* (* x x) (* x x)) 3/16 1)) (+ (- 1/2 (* (/ 1/2 x) (/ (/ 1/2 x) x))) (/ 1/2 x)) (fma (/ 1/2 x) (/ (/ 1/2 x) x) (- 1/2 (/ 1/2 x))) (fma -1/8 (* x x) (fma 11/128 (* (* x x) (* x x)) 1)) (- (+ (sqrt 1/2) (/ (/ 1/4 (sqrt 1/2)) x)) (/ 1/16 (* (* (sqrt 1/2) x) x))) (+ (- (/ -1/4 (* (sqrt 1/2) x)) (/ 1/16 (* (* (sqrt 1/2) x) x))) (sqrt 1/2)) 2.114 * * * [progress]: adding candidates to table 3.368 * * [progress]: iteration 2 / 4 3.368 * * * [progress]: picking best candidate 3.375 * * * * [pick]: Picked # 3.375 * * * [progress]: localizing error 3.407 * * * [progress]: generating rewritten candidates 3.407 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.420 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.459 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 3.467 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.478 * * * [progress]: generating series expansions 3.478 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.479 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.479 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.479 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.479 * [taylor]: Taking taylor expansion of 1/2 in x 3.479 * [backup-simplify]: Simplify 1/2 into 1/2 3.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.479 * [taylor]: Taking taylor expansion of 1/2 in x 3.479 * [backup-simplify]: Simplify 1/2 into 1/2 3.479 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.479 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.479 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.479 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.479 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.479 * [taylor]: Taking taylor expansion of 1 in x 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [taylor]: Taking taylor expansion of 1 in x 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [taylor]: Taking taylor expansion of (* x x) in x 3.479 * [taylor]: Taking taylor expansion of x in x 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [taylor]: Taking taylor expansion of x in x 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (* 0 0) into 0 3.481 * [backup-simplify]: Simplify (+ 1 0) into 1 3.481 * [backup-simplify]: Simplify (sqrt 1) into 1 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.482 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.483 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.483 * [taylor]: Taking taylor expansion of 1/2 in x 3.483 * [backup-simplify]: Simplify 1/2 into 1/2 3.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.483 * [taylor]: Taking taylor expansion of 1/2 in x 3.483 * [backup-simplify]: Simplify 1/2 into 1/2 3.483 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.483 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.483 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.483 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.483 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.483 * [taylor]: Taking taylor expansion of 1 in x 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [taylor]: Taking taylor expansion of 1 in x 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [taylor]: Taking taylor expansion of (* x x) in x 3.483 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (* 0 0) into 0 3.484 * [backup-simplify]: Simplify (+ 1 0) into 1 3.485 * [backup-simplify]: Simplify (sqrt 1) into 1 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.485 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.486 * [backup-simplify]: Simplify (/ 1 1) into 1 3.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.487 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.487 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.487 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.488 * [backup-simplify]: Simplify (- 0) into 0 3.488 * [backup-simplify]: Simplify (+ 0 0) into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.490 * [backup-simplify]: Simplify (+ 0 1) into 1 3.490 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.492 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.492 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.492 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.492 * [backup-simplify]: Simplify 1/4 into 1/4 3.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (- 0) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.501 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.501 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.502 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.502 * [backup-simplify]: Simplify -3/16 into -3/16 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.503 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.507 * [backup-simplify]: Simplify (- 0) into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.515 * [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 3.517 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.518 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.518 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.518 * [backup-simplify]: Simplify 5/32 into 5/32 3.519 * [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))) 3.519 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.519 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.519 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.519 * [taylor]: Taking taylor expansion of 1/2 in x 3.519 * [backup-simplify]: Simplify 1/2 into 1/2 3.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.519 * [taylor]: Taking taylor expansion of 1/2 in x 3.519 * [backup-simplify]: Simplify 1/2 into 1/2 3.519 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.519 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.519 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.519 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.519 * [taylor]: Taking taylor expansion of 1 in x 3.519 * [backup-simplify]: Simplify 1 into 1 3.520 * [taylor]: Taking taylor expansion of 1 in x 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.520 * [taylor]: Taking taylor expansion of x in x 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (/ 1 1) into 1 3.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.520 * [taylor]: Taking taylor expansion of x in x 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.521 * [backup-simplify]: Simplify (/ 1 1) into 1 3.521 * [backup-simplify]: Simplify (* 1 1) into 1 3.521 * [backup-simplify]: Simplify (+ 0 1) into 1 3.522 * [backup-simplify]: Simplify (sqrt 1) into 1 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.525 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.526 * [taylor]: Taking taylor expansion of 1/2 in x 3.526 * [backup-simplify]: Simplify 1/2 into 1/2 3.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.526 * [taylor]: Taking taylor expansion of 1/2 in x 3.526 * [backup-simplify]: Simplify 1/2 into 1/2 3.526 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.526 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.526 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.526 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.526 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.526 * [taylor]: Taking taylor expansion of 1 in x 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [taylor]: Taking taylor expansion of 1 in x 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.526 * [taylor]: Taking taylor expansion of x in x 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.527 * [taylor]: Taking taylor expansion of x in x 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [backup-simplify]: Simplify (* 1 1) into 1 3.528 * [backup-simplify]: Simplify (+ 0 1) into 1 3.528 * [backup-simplify]: Simplify (sqrt 1) into 1 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.532 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.532 * [backup-simplify]: Simplify 1/2 into 1/2 3.533 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.534 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.534 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.534 * [backup-simplify]: Simplify -1/2 into -1/2 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.536 * [backup-simplify]: Simplify (- 0) into 0 3.536 * [backup-simplify]: Simplify (+ 0 0) into 0 3.536 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (* 1 1) into 1 3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.540 * [backup-simplify]: Simplify (+ 1 0) into 1 3.541 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.543 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.544 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.544 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.544 * [backup-simplify]: Simplify 1/4 into 1/4 3.545 * [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))) 3.545 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.545 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.545 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.545 * [taylor]: Taking taylor expansion of 1/2 in x 3.545 * [backup-simplify]: Simplify 1/2 into 1/2 3.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.545 * [taylor]: Taking taylor expansion of 1/2 in x 3.545 * [backup-simplify]: Simplify 1/2 into 1/2 3.545 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.545 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.545 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.545 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.545 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.545 * [taylor]: Taking taylor expansion of 1 in x 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [taylor]: Taking taylor expansion of 1 in x 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.545 * [taylor]: Taking taylor expansion of -1 in x 3.545 * [backup-simplify]: Simplify -1 into -1 3.545 * [taylor]: Taking taylor expansion of x in x 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (/ -1 1) into -1 3.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.546 * [taylor]: Taking taylor expansion of -1 in x 3.546 * [backup-simplify]: Simplify -1 into -1 3.546 * [taylor]: Taking taylor expansion of x in x 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (/ -1 1) into -1 3.547 * [backup-simplify]: Simplify (* -1 -1) into 1 3.547 * [backup-simplify]: Simplify (+ 0 1) into 1 3.548 * [backup-simplify]: Simplify (sqrt 1) into 1 3.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.551 * [backup-simplify]: Simplify (+ 0 0) into 0 3.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.552 * [backup-simplify]: Simplify (/ 1 1) into 1 3.552 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.552 * [taylor]: Taking taylor expansion of 1/2 in x 3.552 * [backup-simplify]: Simplify 1/2 into 1/2 3.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.552 * [taylor]: Taking taylor expansion of 1/2 in x 3.552 * [backup-simplify]: Simplify 1/2 into 1/2 3.552 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.552 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.552 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.552 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.552 * [taylor]: Taking taylor expansion of 1 in x 3.552 * [backup-simplify]: Simplify 1 into 1 3.552 * [taylor]: Taking taylor expansion of 1 in x 3.552 * [backup-simplify]: Simplify 1 into 1 3.552 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.552 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.552 * [taylor]: Taking taylor expansion of -1 in x 3.552 * [backup-simplify]: Simplify -1 into -1 3.552 * [taylor]: Taking taylor expansion of x in x 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify 1 into 1 3.553 * [backup-simplify]: Simplify (/ -1 1) into -1 3.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.553 * [taylor]: Taking taylor expansion of -1 in x 3.553 * [backup-simplify]: Simplify -1 into -1 3.553 * [taylor]: Taking taylor expansion of x in x 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (/ -1 1) into -1 3.554 * [backup-simplify]: Simplify (* -1 -1) into 1 3.554 * [backup-simplify]: Simplify (+ 0 1) into 1 3.555 * [backup-simplify]: Simplify (sqrt 1) into 1 3.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.557 * [backup-simplify]: Simplify (+ 0 0) into 0 3.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.559 * [backup-simplify]: Simplify (/ 1 1) into 1 3.559 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.559 * [backup-simplify]: Simplify 1/2 into 1/2 3.560 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.560 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.561 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.561 * [backup-simplify]: Simplify -1/2 into -1/2 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.563 * [backup-simplify]: Simplify (- 0) into 0 3.563 * [backup-simplify]: Simplify (+ 0 0) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify (* 1 1) into 1 3.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.566 * [backup-simplify]: Simplify (+ 1 0) into 1 3.566 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.568 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.568 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.568 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.568 * [backup-simplify]: Simplify 1/4 into 1/4 3.569 * [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)))) 3.569 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.569 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 3.569 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 3.569 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.569 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.569 * [taylor]: Taking taylor expansion of 1/2 in x 3.569 * [backup-simplify]: Simplify 1/2 into 1/2 3.569 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.569 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.569 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.569 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.569 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.569 * [taylor]: Taking taylor expansion of 1 in x 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of 1 in x 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of (* x x) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.570 * [backup-simplify]: Simplify (* 0 0) into 0 3.570 * [backup-simplify]: Simplify (+ 1 0) into 1 3.570 * [backup-simplify]: Simplify (sqrt 1) into 1 3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.573 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [taylor]: Taking taylor expansion of 1/2 in x 3.575 * [backup-simplify]: Simplify 1/2 into 1/2 3.575 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.575 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.575 * [backup-simplify]: Simplify (sqrt 1) into 1 3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.576 * [backup-simplify]: Simplify (+ 0 0) into 0 3.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.577 * [taylor]: Taking taylor expansion of 1 in x 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.577 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.577 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.577 * [taylor]: Taking taylor expansion of 1/2 in x 3.577 * [backup-simplify]: Simplify 1/2 into 1/2 3.577 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.577 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.577 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.577 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.577 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.577 * [taylor]: Taking taylor expansion of 1 in x 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [taylor]: Taking taylor expansion of 1 in x 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [taylor]: Taking taylor expansion of (* x x) in x 3.577 * [taylor]: Taking taylor expansion of x in x 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [taylor]: Taking taylor expansion of x in x 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (* 1 1) into 1 3.578 * [backup-simplify]: Simplify (* 0 0) into 0 3.578 * [backup-simplify]: Simplify (+ 1 0) into 1 3.578 * [backup-simplify]: Simplify (sqrt 1) into 1 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.579 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [taylor]: Taking taylor expansion of 1/2 in x 3.580 * [backup-simplify]: Simplify 1/2 into 1/2 3.581 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.581 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.581 * [backup-simplify]: Simplify (sqrt 1) into 1 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.583 * [taylor]: Taking taylor expansion of 1 in x 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (+ 1 1) into 2 3.583 * [backup-simplify]: Simplify 2 into 2 3.583 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.585 * [backup-simplify]: Simplify (+ 0 1) into 1 3.585 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.587 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.587 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.588 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.588 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.588 * [backup-simplify]: Simplify -1/8 into -1/8 3.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.589 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.598 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.599 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.600 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.601 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.601 * [backup-simplify]: Simplify 11/128 into 11/128 3.601 * [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))) 3.602 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 3.602 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 3.602 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.602 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.602 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.602 * [taylor]: Taking taylor expansion of 1/2 in x 3.602 * [backup-simplify]: Simplify 1/2 into 1/2 3.602 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.602 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.602 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.602 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.602 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.602 * [taylor]: Taking taylor expansion of 1 in x 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [taylor]: Taking taylor expansion of 1 in x 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.602 * [taylor]: Taking taylor expansion of x in x 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (/ 1 1) into 1 3.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.603 * [taylor]: Taking taylor expansion of x in x 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (+ 0 1) into 1 3.604 * [backup-simplify]: Simplify (sqrt 1) into 1 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.608 * [backup-simplify]: Simplify (/ 1 1) into 1 3.608 * [taylor]: Taking taylor expansion of 1/2 in x 3.608 * [backup-simplify]: Simplify 1/2 into 1/2 3.609 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.609 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.610 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.610 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.612 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.612 * [taylor]: Taking taylor expansion of 1 in x 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.612 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.612 * [taylor]: Taking taylor expansion of 1/2 in x 3.612 * [backup-simplify]: Simplify 1/2 into 1/2 3.612 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.612 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.612 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.612 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.612 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.612 * [taylor]: Taking taylor expansion of 1 in x 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [taylor]: Taking taylor expansion of 1 in x 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.612 * [taylor]: Taking taylor expansion of x in x 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.613 * [taylor]: Taking taylor expansion of x in x 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (+ 0 1) into 1 3.615 * [backup-simplify]: Simplify (sqrt 1) into 1 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.619 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [taylor]: Taking taylor expansion of 1/2 in x 3.619 * [backup-simplify]: Simplify 1/2 into 1/2 3.619 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.620 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.620 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.620 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.622 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.622 * [taylor]: Taking taylor expansion of 1 in x 3.622 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.624 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.626 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.627 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.637 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.641 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.646 * [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))))) 3.647 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 3.647 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 3.647 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.647 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.647 * [taylor]: Taking taylor expansion of 1/2 in x 3.647 * [backup-simplify]: Simplify 1/2 into 1/2 3.647 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.647 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.647 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.647 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.647 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.647 * [taylor]: Taking taylor expansion of 1 in x 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of 1 in x 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.647 * [taylor]: Taking taylor expansion of -1 in x 3.647 * [backup-simplify]: Simplify -1 into -1 3.647 * [taylor]: Taking taylor expansion of x in x 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (/ -1 1) into -1 3.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.648 * [taylor]: Taking taylor expansion of -1 in x 3.648 * [backup-simplify]: Simplify -1 into -1 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (/ -1 1) into -1 3.649 * [backup-simplify]: Simplify (* -1 -1) into 1 3.649 * [backup-simplify]: Simplify (+ 0 1) into 1 3.649 * [backup-simplify]: Simplify (sqrt 1) into 1 3.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.654 * [backup-simplify]: Simplify (/ 1 1) into 1 3.654 * [taylor]: Taking taylor expansion of 1/2 in x 3.654 * [backup-simplify]: Simplify 1/2 into 1/2 3.654 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.654 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.655 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.657 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.657 * [taylor]: Taking taylor expansion of 1 in x 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.657 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.657 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.657 * [taylor]: Taking taylor expansion of 1/2 in x 3.657 * [backup-simplify]: Simplify 1/2 into 1/2 3.657 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.657 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.657 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.657 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.657 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.657 * [taylor]: Taking taylor expansion of 1 in x 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [taylor]: Taking taylor expansion of 1 in x 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.657 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.657 * [taylor]: Taking taylor expansion of -1 in x 3.657 * [backup-simplify]: Simplify -1 into -1 3.657 * [taylor]: Taking taylor expansion of x in x 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (/ -1 1) into -1 3.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.658 * [taylor]: Taking taylor expansion of -1 in x 3.658 * [backup-simplify]: Simplify -1 into -1 3.658 * [taylor]: Taking taylor expansion of x in x 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (/ -1 1) into -1 3.659 * [backup-simplify]: Simplify (* -1 -1) into 1 3.659 * [backup-simplify]: Simplify (+ 0 1) into 1 3.660 * [backup-simplify]: Simplify (sqrt 1) into 1 3.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [taylor]: Taking taylor expansion of 1/2 in x 3.663 * [backup-simplify]: Simplify 1/2 into 1/2 3.664 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.664 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.665 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.665 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.667 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.667 * [taylor]: Taking taylor expansion of 1 in x 3.667 * [backup-simplify]: Simplify 1 into 1 3.668 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.669 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.670 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.672 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.674 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.682 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.686 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.692 * [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)))))) 3.692 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 3.692 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.692 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.692 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.692 * [taylor]: Taking taylor expansion of 1/2 in x 3.692 * [backup-simplify]: Simplify 1/2 into 1/2 3.692 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.693 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.693 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.693 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.693 * [taylor]: Taking taylor expansion of 1 in x 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [taylor]: Taking taylor expansion of 1 in x 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [taylor]: Taking taylor expansion of (* x x) in x 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [taylor]: Taking taylor expansion of x in x 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (* 1 1) into 1 3.694 * [backup-simplify]: Simplify (* 0 0) into 0 3.694 * [backup-simplify]: Simplify (+ 1 0) into 1 3.695 * [backup-simplify]: Simplify (sqrt 1) into 1 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.696 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.698 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.698 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.698 * [taylor]: Taking taylor expansion of 1/2 in x 3.698 * [backup-simplify]: Simplify 1/2 into 1/2 3.698 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.698 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.698 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.698 * [taylor]: Taking taylor expansion of 1 in x 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of 1 in x 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of (* x x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (* 1 1) into 1 3.699 * [backup-simplify]: Simplify (* 0 0) into 0 3.699 * [backup-simplify]: Simplify (+ 1 0) into 1 3.700 * [backup-simplify]: Simplify (sqrt 1) into 1 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.703 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.706 * [backup-simplify]: Simplify 1/2 into 1/2 3.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.709 * [backup-simplify]: Simplify (+ 0 1) into 1 3.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.711 * [backup-simplify]: Simplify -1/4 into -1/4 3.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.718 * [backup-simplify]: Simplify 3/16 into 3/16 3.719 * [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))) 3.719 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.719 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.719 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.719 * [taylor]: Taking taylor expansion of 1/2 in x 3.719 * [backup-simplify]: Simplify 1/2 into 1/2 3.719 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.719 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.719 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.719 * [taylor]: Taking taylor expansion of 1 in x 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [taylor]: Taking taylor expansion of 1 in x 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.719 * [taylor]: Taking taylor expansion of x in x 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.719 * [taylor]: Taking taylor expansion of x in x 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [backup-simplify]: Simplify (* 1 1) into 1 3.720 * [backup-simplify]: Simplify (+ 0 1) into 1 3.720 * [backup-simplify]: Simplify (sqrt 1) into 1 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.723 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.723 * [taylor]: Taking taylor expansion of 1/2 in x 3.723 * [backup-simplify]: Simplify 1/2 into 1/2 3.723 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.723 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.723 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.723 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.723 * [taylor]: Taking taylor expansion of 1 in x 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [taylor]: Taking taylor expansion of 1 in x 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify (* 1 1) into 1 3.724 * [backup-simplify]: Simplify (+ 0 1) into 1 3.724 * [backup-simplify]: Simplify (sqrt 1) into 1 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.726 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.727 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.727 * [backup-simplify]: Simplify 1/2 into 1/2 3.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (* 1 1) into 1 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.729 * [backup-simplify]: Simplify (+ 1 0) into 1 3.730 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.731 * [backup-simplify]: Simplify -1/4 into -1/4 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.739 * [backup-simplify]: Simplify 3/16 into 3/16 3.740 * [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)))) 3.740 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.740 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.740 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.740 * [taylor]: Taking taylor expansion of 1/2 in x 3.740 * [backup-simplify]: Simplify 1/2 into 1/2 3.740 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.740 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.740 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.740 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.740 * [taylor]: Taking taylor expansion of 1 in x 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [taylor]: Taking taylor expansion of 1 in x 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.740 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.740 * [taylor]: Taking taylor expansion of -1 in x 3.740 * [backup-simplify]: Simplify -1 into -1 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (/ -1 1) into -1 3.740 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.740 * [taylor]: Taking taylor expansion of -1 in x 3.740 * [backup-simplify]: Simplify -1 into -1 3.740 * [taylor]: Taking taylor expansion of x in x 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ -1 1) into -1 3.741 * [backup-simplify]: Simplify (* -1 -1) into 1 3.741 * [backup-simplify]: Simplify (+ 0 1) into 1 3.742 * [backup-simplify]: Simplify (sqrt 1) into 1 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.744 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.744 * [taylor]: Taking taylor expansion of 1/2 in x 3.744 * [backup-simplify]: Simplify 1/2 into 1/2 3.744 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.744 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.744 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.744 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.744 * [taylor]: Taking taylor expansion of 1 in x 3.744 * [backup-simplify]: Simplify 1 into 1 3.744 * [taylor]: Taking taylor expansion of 1 in x 3.744 * [backup-simplify]: Simplify 1 into 1 3.744 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.744 * [taylor]: Taking taylor expansion of -1 in x 3.744 * [backup-simplify]: Simplify -1 into -1 3.744 * [taylor]: Taking taylor expansion of x in x 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (/ -1 1) into -1 3.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.745 * [taylor]: Taking taylor expansion of -1 in x 3.745 * [backup-simplify]: Simplify -1 into -1 3.745 * [taylor]: Taking taylor expansion of x in x 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (/ -1 1) into -1 3.745 * [backup-simplify]: Simplify (* -1 -1) into 1 3.745 * [backup-simplify]: Simplify (+ 0 1) into 1 3.746 * [backup-simplify]: Simplify (sqrt 1) into 1 3.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.747 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.748 * [backup-simplify]: Simplify 1/2 into 1/2 3.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (* 1 1) into 1 3.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.751 * [backup-simplify]: Simplify (+ 1 0) into 1 3.752 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.752 * [backup-simplify]: Simplify -1/4 into -1/4 3.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.763 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.765 * [backup-simplify]: Simplify 3/16 into 3/16 3.766 * [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)))) 3.766 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.766 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.766 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.766 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.766 * [taylor]: Taking taylor expansion of 1/2 in x 3.766 * [backup-simplify]: Simplify 1/2 into 1/2 3.766 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.766 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.766 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.766 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.766 * [taylor]: Taking taylor expansion of 1 in x 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of 1 in x 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (* x x) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (* 1 1) into 1 3.767 * [backup-simplify]: Simplify (* 0 0) into 0 3.768 * [backup-simplify]: Simplify (+ 1 0) into 1 3.768 * [backup-simplify]: Simplify (sqrt 1) into 1 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.769 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.771 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.771 * [taylor]: Taking taylor expansion of 1/2 in x 3.771 * [backup-simplify]: Simplify 1/2 into 1/2 3.771 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.771 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.771 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.771 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.771 * [taylor]: Taking taylor expansion of 1 in x 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [taylor]: Taking taylor expansion of 1 in x 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [taylor]: Taking taylor expansion of (* x x) in x 3.772 * [taylor]: Taking taylor expansion of x in x 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.772 * [taylor]: Taking taylor expansion of x in x 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.772 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (* 0 0) into 0 3.773 * [backup-simplify]: Simplify (+ 1 0) into 1 3.773 * [backup-simplify]: Simplify (sqrt 1) into 1 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.774 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.774 * [backup-simplify]: Simplify (+ 0 0) into 0 3.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.775 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.775 * [backup-simplify]: Simplify 1/2 into 1/2 3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.777 * [backup-simplify]: Simplify (+ 0 1) into 1 3.777 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.778 * [backup-simplify]: Simplify -1/4 into -1/4 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.783 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.785 * [backup-simplify]: Simplify 3/16 into 3/16 3.785 * [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))) 3.785 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.785 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.785 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.785 * [taylor]: Taking taylor expansion of 1/2 in x 3.785 * [backup-simplify]: Simplify 1/2 into 1/2 3.785 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.785 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.785 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.785 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.785 * [taylor]: Taking taylor expansion of 1 in x 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [taylor]: Taking taylor expansion of 1 in x 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.785 * [taylor]: Taking taylor expansion of x in x 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (/ 1 1) into 1 3.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.786 * [taylor]: Taking taylor expansion of x in x 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (/ 1 1) into 1 3.786 * [backup-simplify]: Simplify (* 1 1) into 1 3.787 * [backup-simplify]: Simplify (+ 0 1) into 1 3.787 * [backup-simplify]: Simplify (sqrt 1) into 1 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.788 * [backup-simplify]: Simplify (+ 0 0) into 0 3.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.789 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.789 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.789 * [taylor]: Taking taylor expansion of 1/2 in x 3.789 * [backup-simplify]: Simplify 1/2 into 1/2 3.789 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.789 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.789 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.789 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.789 * [taylor]: Taking taylor expansion of 1 in x 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of 1 in x 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.789 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.790 * [taylor]: Taking taylor expansion of x in x 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [backup-simplify]: Simplify (* 1 1) into 1 3.791 * [backup-simplify]: Simplify (+ 0 1) into 1 3.791 * [backup-simplify]: Simplify (sqrt 1) into 1 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.793 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.793 * [backup-simplify]: Simplify 1/2 into 1/2 3.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (* 1 1) into 1 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.796 * [backup-simplify]: Simplify (+ 1 0) into 1 3.797 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.797 * [backup-simplify]: Simplify -1/4 into -1/4 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.809 * [backup-simplify]: Simplify (+ 0 0) into 0 3.810 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.812 * [backup-simplify]: Simplify 3/16 into 3/16 3.813 * [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)))) 3.813 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.813 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.813 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.813 * [taylor]: Taking taylor expansion of 1/2 in x 3.813 * [backup-simplify]: Simplify 1/2 into 1/2 3.813 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.813 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.813 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.813 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.813 * [taylor]: Taking taylor expansion of 1 in x 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [taylor]: Taking taylor expansion of 1 in x 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.813 * [taylor]: Taking taylor expansion of -1 in x 3.813 * [backup-simplify]: Simplify -1 into -1 3.813 * [taylor]: Taking taylor expansion of x in x 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.814 * [backup-simplify]: Simplify (/ -1 1) into -1 3.814 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.814 * [taylor]: Taking taylor expansion of -1 in x 3.814 * [backup-simplify]: Simplify -1 into -1 3.814 * [taylor]: Taking taylor expansion of x in x 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (/ -1 1) into -1 3.815 * [backup-simplify]: Simplify (* -1 -1) into 1 3.815 * [backup-simplify]: Simplify (+ 0 1) into 1 3.816 * [backup-simplify]: Simplify (sqrt 1) into 1 3.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.819 * [backup-simplify]: Simplify (+ 0 0) into 0 3.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.820 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.820 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.820 * [taylor]: Taking taylor expansion of 1/2 in x 3.820 * [backup-simplify]: Simplify 1/2 into 1/2 3.820 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.820 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.820 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.820 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.820 * [taylor]: Taking taylor expansion of 1 in x 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [taylor]: Taking taylor expansion of 1 in x 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.820 * [taylor]: Taking taylor expansion of -1 in x 3.820 * [backup-simplify]: Simplify -1 into -1 3.820 * [taylor]: Taking taylor expansion of x in x 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (/ -1 1) into -1 3.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.821 * [taylor]: Taking taylor expansion of -1 in x 3.821 * [backup-simplify]: Simplify -1 into -1 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (/ -1 1) into -1 3.822 * [backup-simplify]: Simplify (* -1 -1) into 1 3.822 * [backup-simplify]: Simplify (+ 0 1) into 1 3.823 * [backup-simplify]: Simplify (sqrt 1) into 1 3.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.827 * [backup-simplify]: Simplify 1/2 into 1/2 3.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (* 1 1) into 1 3.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.832 * [backup-simplify]: Simplify (+ 1 0) into 1 3.833 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.834 * [backup-simplify]: Simplify -1/4 into -1/4 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.839 * [backup-simplify]: Simplify (+ 0 0) into 0 3.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.846 * [backup-simplify]: Simplify 3/16 into 3/16 3.846 * [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)))) 3.846 * * * [progress]: simplifying candidates 3.846 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 3.846 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 3.846 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 3.846 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 3.846 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 3.846 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 3.846 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 3.847 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 3.848 * * * * [progress]: [ 27 / 152 ] 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[progress]: [ 43 / 152 ] simplifiying candidate # 3.848 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 3.848 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 3.848 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 3.848 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 3.848 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 60 / 152 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 3.849 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 3.849 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 79 / 152 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 3.850 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 3.850 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 110 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))> 3.851 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 3.851 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 3.852 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 3.852 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 3.853 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 3.853 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 3.853 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 3.853 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 3.853 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 3.853 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 3.854 * [simplify]: Simplifying: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))) (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))) (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) 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x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (- (+ (* 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)))))) (- (+ (* 3/16 (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)))) 3.857 * * [simplify]: iteration 1: (248 enodes) 4.002 * * [simplify]: iteration 2: (1055 enodes) 4.489 * * [simplify]: Extracting #0: cost 98 inf + 0 4.490 * * [simplify]: Extracting #1: cost 431 inf + 44 4.495 * * [simplify]: Extracting #2: cost 710 inf + 3038 4.504 * * [simplify]: Extracting #3: cost 646 inf + 18596 4.535 * * [simplify]: Extracting #4: cost 281 inf + 96205 4.595 * * [simplify]: Extracting #5: cost 45 inf + 157189 4.655 * * [simplify]: Extracting #6: cost 2 inf + 170846 4.715 * * [simplify]: Extracting #7: cost 0 inf + 171362 4.749 * [simplify]: Simplified to: (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (cbrt 1/2)) (sqrt (hypot 1 x)))) (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (+ (/ (- (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (hypot 1 x))) (* (/ (cbrt 1/2) (hypot 1 x)) (+ (- (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt 1/2) (cbrt 1/2)))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (+ (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (* (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (+ (/ -1/2 (cbrt (hypot 1 x))) (/ 1/2 (cbrt (hypot 1 x))))) (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 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1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (+ 1/2 (- (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1/2 (* (/ (- (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (* (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (+ (/ (- (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (+ 1/2 (/ (* (cbrt 1/2) (- (* (cbrt 1/2) (cbrt 1/2)))) (hypot 1 x))) (* (/ (cbrt 1/2) (hypot 1 x)) (+ (- (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt 1/2) (cbrt 1/2)))) (+ 1/2 (- (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x))))) (+ (- (/ (* (/ (sqrt 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1 x))) (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (fma (/ 1/2 (hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (/ 1/4 (* (hypot 1 x) (hypot 1 x)))) (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (log1p (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (exp (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (exp (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))) (cbrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (* (* (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (sqrt (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (fma (+ (/ 1/2 (hypot 1 x)) 1/2) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (- (+ (/ 1/2 (hypot 1 x)) 1/2) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1) (real->posit16 (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)) (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 (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))) (fma 1/4 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 5/32 (* -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 11/128 (* (* x x) (* x x)) 2) (* -1/8 (* x x))) (+ (/ 1/4 (* x (sqrt 1/2))) (+ (+ (sqrt 1/2) 1) (/ -1/32 (* (* 1/2 (sqrt 1/2)) (* x x))))) (- (+ (+ (sqrt 1/2) 1) (/ -1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (/ 1/4 (* x (sqrt 1/2)))) (+ (fma (* (* x x) (* x x)) 3/16 1/2) (* (* x x) -1/4)) (- (+ (/ 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 (* (* x x) (* x x)) 3/16 1/2) (* (* x x) -1/4)) (- (+ (/ 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))) 4.778 * * * [progress]: adding candidates to table 6.324 * * [progress]: iteration 3 / 4 6.324 * * * [progress]: picking best candidate 6.335 * * * * [pick]: Picked # 6.335 * * * [progress]: localizing error 6.369 * * * [progress]: generating rewritten candidates 6.369 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 6.376 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.390 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.455 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1 1) 6.461 * * * [progress]: generating series expansions 6.461 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 6.461 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 x)))) into (/ 1/2 (hypot 1 x)) 6.461 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 6.461 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 6.461 * [taylor]: Taking taylor expansion of 1/2 in x 6.461 * [backup-simplify]: Simplify 1/2 into 1/2 6.461 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.461 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.461 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.461 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.461 * [taylor]: Taking taylor expansion of 1 in x 6.461 * [backup-simplify]: Simplify 1 into 1 6.461 * [taylor]: Taking taylor expansion of 1 in x 6.461 * [backup-simplify]: Simplify 1 into 1 6.461 * [taylor]: Taking taylor expansion of (* x x) in x 6.462 * [taylor]: Taking taylor expansion of x in x 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [taylor]: Taking taylor expansion of x in x 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (* 1 1) into 1 6.462 * [backup-simplify]: Simplify (* 0 0) into 0 6.463 * [backup-simplify]: Simplify (+ 1 0) into 1 6.463 * [backup-simplify]: Simplify (sqrt 1) into 1 6.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.464 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.464 * [backup-simplify]: Simplify (+ 0 0) into 0 6.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.465 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 6.465 * [taylor]: Taking taylor expansion of 1/2 in x 6.465 * [backup-simplify]: Simplify 1/2 into 1/2 6.465 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.465 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.465 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.465 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.465 * [taylor]: Taking taylor expansion of 1 in x 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of 1 in x 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of (* x x) in x 6.465 * [taylor]: Taking taylor expansion of x in x 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of x in x 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [backup-simplify]: Simplify (* 1 1) into 1 6.466 * [backup-simplify]: Simplify (* 0 0) into 0 6.466 * [backup-simplify]: Simplify (+ 1 0) into 1 6.466 * [backup-simplify]: Simplify (sqrt 1) into 1 6.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.467 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.467 * [backup-simplify]: Simplify (+ 0 0) into 0 6.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.468 * [backup-simplify]: Simplify 1/2 into 1/2 6.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.470 * [backup-simplify]: Simplify (+ 0 1) into 1 6.470 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.471 * [backup-simplify]: Simplify -1/4 into -1/4 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.473 * [backup-simplify]: Simplify (+ 0 0) into 0 6.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.474 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.476 * [backup-simplify]: Simplify (+ 0 0) into 0 6.477 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.479 * [backup-simplify]: Simplify 3/16 into 3/16 6.479 * [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))) 6.480 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 (/ 1 x))))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.480 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 6.480 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 6.480 * [taylor]: Taking taylor expansion of 1/2 in x 6.480 * [backup-simplify]: Simplify 1/2 into 1/2 6.480 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.480 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.480 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.480 * [taylor]: Taking taylor expansion of 1 in x 6.480 * [backup-simplify]: Simplify 1 into 1 6.480 * [taylor]: Taking taylor expansion of 1 in x 6.480 * [backup-simplify]: Simplify 1 into 1 6.480 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.480 * [taylor]: Taking taylor expansion of x in x 6.480 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify 1 into 1 6.481 * [backup-simplify]: Simplify (/ 1 1) into 1 6.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.481 * [taylor]: Taking taylor expansion of x in x 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify 1 into 1 6.481 * [backup-simplify]: Simplify (/ 1 1) into 1 6.482 * [backup-simplify]: Simplify (* 1 1) into 1 6.482 * [backup-simplify]: Simplify (+ 0 1) into 1 6.482 * [backup-simplify]: Simplify (sqrt 1) into 1 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.486 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.486 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 6.486 * [taylor]: Taking taylor expansion of 1/2 in x 6.486 * [backup-simplify]: Simplify 1/2 into 1/2 6.486 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.486 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.486 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.487 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.487 * [taylor]: Taking taylor expansion of 1 in x 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [taylor]: Taking taylor expansion of 1 in x 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.487 * [taylor]: Taking taylor expansion of x in x 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.487 * [taylor]: Taking taylor expansion of x in x 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.488 * [backup-simplify]: Simplify (/ 1 1) into 1 6.488 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (+ 0 1) into 1 6.489 * [backup-simplify]: Simplify (sqrt 1) into 1 6.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify (+ 0 0) into 0 6.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.493 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.493 * [backup-simplify]: Simplify 1/2 into 1/2 6.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify (* 1 1) into 1 6.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.498 * [backup-simplify]: Simplify (+ 1 0) into 1 6.499 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.500 * [backup-simplify]: Simplify -1/4 into -1/4 6.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.512 * [backup-simplify]: Simplify (+ 0 0) into 0 6.514 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.516 * [backup-simplify]: Simplify 3/16 into 3/16 6.516 * [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)))) 6.516 * [backup-simplify]: Simplify (log (exp (/ 1/2 (hypot 1 (/ 1 (- x)))))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.516 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 6.516 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 6.516 * [taylor]: Taking taylor expansion of 1/2 in x 6.516 * [backup-simplify]: Simplify 1/2 into 1/2 6.516 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.517 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.517 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.517 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.517 * [taylor]: Taking taylor expansion of 1 in x 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [taylor]: Taking taylor expansion of 1 in x 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.517 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.517 * [taylor]: Taking taylor expansion of -1 in x 6.517 * [backup-simplify]: Simplify -1 into -1 6.517 * [taylor]: Taking taylor expansion of x in x 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [backup-simplify]: Simplify (/ -1 1) into -1 6.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.518 * [taylor]: Taking taylor expansion of -1 in x 6.518 * [backup-simplify]: Simplify -1 into -1 6.518 * [taylor]: Taking taylor expansion of x in x 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.518 * [backup-simplify]: Simplify (/ -1 1) into -1 6.519 * [backup-simplify]: Simplify (* -1 -1) into 1 6.519 * [backup-simplify]: Simplify (+ 0 1) into 1 6.520 * [backup-simplify]: Simplify (sqrt 1) into 1 6.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.528 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.530 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.530 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 6.530 * [taylor]: Taking taylor expansion of 1/2 in x 6.530 * [backup-simplify]: Simplify 1/2 into 1/2 6.530 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.530 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.530 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.530 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.530 * [taylor]: Taking taylor expansion of 1 in x 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [taylor]: Taking taylor expansion of 1 in x 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.531 * [taylor]: Taking taylor expansion of -1 in x 6.531 * [backup-simplify]: Simplify -1 into -1 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (/ -1 1) into -1 6.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.531 * [taylor]: Taking taylor expansion of -1 in x 6.531 * [backup-simplify]: Simplify -1 into -1 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.532 * [backup-simplify]: Simplify (/ -1 1) into -1 6.532 * [backup-simplify]: Simplify (* -1 -1) into 1 6.533 * [backup-simplify]: Simplify (+ 0 1) into 1 6.533 * [backup-simplify]: Simplify (sqrt 1) into 1 6.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.536 * [backup-simplify]: Simplify (+ 0 0) into 0 6.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.537 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.537 * [backup-simplify]: Simplify 1/2 into 1/2 6.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify (* 1 1) into 1 6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.542 * [backup-simplify]: Simplify (+ 1 0) into 1 6.542 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.543 * [backup-simplify]: Simplify -1/4 into -1/4 6.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.546 * [backup-simplify]: Simplify (+ 0 0) into 0 6.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.550 * [backup-simplify]: Simplify (+ 0 0) into 0 6.551 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.552 * [backup-simplify]: Simplify 3/16 into 3/16 6.552 * [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)))) 6.552 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.552 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 6.552 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 6.552 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 6.552 * [taylor]: Taking taylor expansion of 1/2 in x 6.553 * [backup-simplify]: Simplify 1/2 into 1/2 6.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.553 * [taylor]: Taking taylor expansion of 1/2 in x 6.553 * [backup-simplify]: Simplify 1/2 into 1/2 6.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.553 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.553 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.553 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.553 * [taylor]: Taking taylor expansion of 1 in x 6.553 * [backup-simplify]: Simplify 1 into 1 6.553 * [taylor]: Taking taylor expansion of 1 in x 6.553 * [backup-simplify]: Simplify 1 into 1 6.553 * [taylor]: Taking taylor expansion of (* x x) in x 6.553 * [taylor]: Taking taylor expansion of x in x 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 1 into 1 6.553 * [taylor]: Taking taylor expansion of x in x 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 1 into 1 6.553 * [backup-simplify]: Simplify (* 1 1) into 1 6.553 * [backup-simplify]: Simplify (* 0 0) into 0 6.554 * [backup-simplify]: Simplify (+ 1 0) into 1 6.554 * [backup-simplify]: Simplify (sqrt 1) into 1 6.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.555 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.555 * [backup-simplify]: Simplify (+ 0 0) into 0 6.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.556 * [backup-simplify]: Simplify (/ 1 1) into 1 6.556 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 6.556 * [taylor]: Taking taylor expansion of 1/2 in x 6.556 * [backup-simplify]: Simplify 1/2 into 1/2 6.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.556 * [taylor]: Taking taylor expansion of 1/2 in x 6.556 * [backup-simplify]: Simplify 1/2 into 1/2 6.556 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.556 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.556 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.556 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.556 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.556 * [taylor]: Taking taylor expansion of 1 in x 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [taylor]: Taking taylor expansion of 1 in x 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [taylor]: Taking taylor expansion of (* x x) in x 6.556 * [taylor]: Taking taylor expansion of x in x 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [taylor]: Taking taylor expansion of x in x 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [backup-simplify]: Simplify (* 1 1) into 1 6.557 * [backup-simplify]: Simplify (* 0 0) into 0 6.557 * [backup-simplify]: Simplify (+ 1 0) into 1 6.557 * [backup-simplify]: Simplify (sqrt 1) into 1 6.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.558 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.558 * [backup-simplify]: Simplify (+ 0 0) into 0 6.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.559 * [backup-simplify]: Simplify (/ 1 1) into 1 6.559 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.559 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.560 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.561 * [backup-simplify]: Simplify (- 0) into 0 6.561 * [backup-simplify]: Simplify (+ 0 0) into 0 6.561 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.563 * [backup-simplify]: Simplify (+ 0 1) into 1 6.563 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.565 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.565 * [backup-simplify]: Simplify (- -1/4) into 1/4 6.565 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.565 * [backup-simplify]: Simplify 1/4 into 1/4 6.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.567 * [backup-simplify]: Simplify (+ 0 0) into 0 6.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.570 * [backup-simplify]: Simplify (- 0) into 0 6.570 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.573 * [backup-simplify]: Simplify (+ 0 0) into 0 6.575 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.578 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.579 * [backup-simplify]: Simplify (- 3/16) into -3/16 6.579 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 6.579 * [backup-simplify]: Simplify -3/16 into -3/16 6.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 6.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 6.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 6.589 * [backup-simplify]: Simplify (- 0) into 0 6.590 * [backup-simplify]: Simplify (+ 0 0) into 0 6.590 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.593 * [backup-simplify]: Simplify (+ 0 0) into 0 6.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 6.597 * [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 6.600 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 6.600 * [backup-simplify]: Simplify (- -5/32) into 5/32 6.601 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 6.601 * [backup-simplify]: Simplify 5/32 into 5/32 6.601 * [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))) 6.601 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 6.601 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 6.601 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 6.601 * [taylor]: Taking taylor expansion of 1/2 in x 6.601 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.602 * [taylor]: Taking taylor expansion of 1/2 in x 6.602 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.602 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.602 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.602 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.602 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.602 * [taylor]: Taking taylor expansion of 1 in x 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [taylor]: Taking taylor expansion of 1 in x 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.602 * [taylor]: Taking taylor expansion of x in x 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [backup-simplify]: Simplify (/ 1 1) into 1 6.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.603 * [taylor]: Taking taylor expansion of x in x 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 1 into 1 6.603 * [backup-simplify]: Simplify (/ 1 1) into 1 6.603 * [backup-simplify]: Simplify (* 1 1) into 1 6.604 * [backup-simplify]: Simplify (+ 0 1) into 1 6.604 * [backup-simplify]: Simplify (sqrt 1) into 1 6.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.606 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.608 * [backup-simplify]: Simplify (/ 1 1) into 1 6.608 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 6.608 * [taylor]: Taking taylor expansion of 1/2 in x 6.608 * [backup-simplify]: Simplify 1/2 into 1/2 6.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.608 * [taylor]: Taking taylor expansion of 1/2 in x 6.608 * [backup-simplify]: Simplify 1/2 into 1/2 6.608 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.608 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.608 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.608 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.608 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.608 * [taylor]: Taking taylor expansion of 1 in x 6.608 * [backup-simplify]: Simplify 1 into 1 6.608 * [taylor]: Taking taylor expansion of 1 in x 6.608 * [backup-simplify]: Simplify 1 into 1 6.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.608 * [taylor]: Taking taylor expansion of x in x 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (/ 1 1) into 1 6.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.609 * [taylor]: Taking taylor expansion of x in x 6.609 * [backup-simplify]: Simplify 0 into 0 6.609 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (/ 1 1) into 1 6.609 * [backup-simplify]: Simplify (* 1 1) into 1 6.610 * [backup-simplify]: Simplify (+ 0 1) into 1 6.610 * [backup-simplify]: Simplify (sqrt 1) into 1 6.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.613 * [backup-simplify]: Simplify (+ 0 0) into 0 6.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.614 * [backup-simplify]: Simplify (/ 1 1) into 1 6.615 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.615 * [backup-simplify]: Simplify 1/2 into 1/2 6.615 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.615 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.616 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.616 * [backup-simplify]: Simplify -1/2 into -1/2 6.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.618 * [backup-simplify]: Simplify (- 0) into 0 6.618 * [backup-simplify]: Simplify (+ 0 0) into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify (* 1 1) into 1 6.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.622 * [backup-simplify]: Simplify (+ 1 0) into 1 6.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.625 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.625 * [backup-simplify]: Simplify (- -1/4) into 1/4 6.626 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.626 * [backup-simplify]: Simplify 1/4 into 1/4 6.626 * [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))) 6.626 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 6.626 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 6.626 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 6.626 * [taylor]: Taking taylor expansion of 1/2 in x 6.626 * [backup-simplify]: Simplify 1/2 into 1/2 6.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.626 * [taylor]: Taking taylor expansion of 1/2 in x 6.626 * [backup-simplify]: Simplify 1/2 into 1/2 6.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.626 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.627 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.627 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.627 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.627 * [taylor]: Taking taylor expansion of 1 in x 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [taylor]: Taking taylor expansion of 1 in x 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.627 * [taylor]: Taking taylor expansion of -1 in x 6.627 * [backup-simplify]: Simplify -1 into -1 6.627 * [taylor]: Taking taylor expansion of x in x 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [backup-simplify]: Simplify (/ -1 1) into -1 6.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.627 * [taylor]: Taking taylor expansion of -1 in x 6.627 * [backup-simplify]: Simplify -1 into -1 6.627 * [taylor]: Taking taylor expansion of x in x 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.628 * [backup-simplify]: Simplify (/ -1 1) into -1 6.628 * [backup-simplify]: Simplify (* -1 -1) into 1 6.629 * [backup-simplify]: Simplify (+ 0 1) into 1 6.629 * [backup-simplify]: Simplify (sqrt 1) into 1 6.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.632 * [backup-simplify]: Simplify (+ 0 0) into 0 6.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.633 * [backup-simplify]: Simplify (/ 1 1) into 1 6.633 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 6.633 * [taylor]: Taking taylor expansion of 1/2 in x 6.633 * [backup-simplify]: Simplify 1/2 into 1/2 6.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.633 * [taylor]: Taking taylor expansion of 1/2 in x 6.633 * [backup-simplify]: Simplify 1/2 into 1/2 6.633 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.633 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.634 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.634 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.634 * [taylor]: Taking taylor expansion of 1 in x 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [taylor]: Taking taylor expansion of 1 in x 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.634 * [taylor]: Taking taylor expansion of -1 in x 6.634 * [backup-simplify]: Simplify -1 into -1 6.634 * [taylor]: Taking taylor expansion of x in x 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [backup-simplify]: Simplify (/ -1 1) into -1 6.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.634 * [taylor]: Taking taylor expansion of -1 in x 6.634 * [backup-simplify]: Simplify -1 into -1 6.634 * [taylor]: Taking taylor expansion of x in x 6.634 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (/ -1 1) into -1 6.635 * [backup-simplify]: Simplify (* -1 -1) into 1 6.636 * [backup-simplify]: Simplify (+ 0 1) into 1 6.636 * [backup-simplify]: Simplify (sqrt 1) into 1 6.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.638 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.639 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.640 * [backup-simplify]: Simplify (/ 1 1) into 1 6.640 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.641 * [backup-simplify]: Simplify 1/2 into 1/2 6.641 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.641 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.642 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.642 * [backup-simplify]: Simplify -1/2 into -1/2 6.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.644 * [backup-simplify]: Simplify (- 0) into 0 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify (* 1 1) into 1 6.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.648 * [backup-simplify]: Simplify (+ 1 0) into 1 6.649 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.651 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.651 * [backup-simplify]: Simplify (- -1/4) into 1/4 6.652 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.652 * [backup-simplify]: Simplify 1/4 into 1/4 6.652 * [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)))) 6.652 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.653 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 6.653 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 6.653 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 6.653 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.653 * [taylor]: Taking taylor expansion of 1/2 in x 6.653 * [backup-simplify]: Simplify 1/2 into 1/2 6.653 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.653 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.653 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.653 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.653 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.653 * [taylor]: Taking taylor expansion of 1 in x 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [taylor]: Taking taylor expansion of 1 in x 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [taylor]: Taking taylor expansion of (* x x) in x 6.653 * [taylor]: Taking taylor expansion of x in x 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [taylor]: Taking taylor expansion of x in x 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.654 * [backup-simplify]: Simplify (* 1 1) into 1 6.654 * [backup-simplify]: Simplify (* 0 0) into 0 6.654 * [backup-simplify]: Simplify (+ 1 0) into 1 6.655 * [backup-simplify]: Simplify (sqrt 1) into 1 6.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.661 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.663 * [backup-simplify]: Simplify (/ 1 1) into 1 6.663 * [taylor]: Taking taylor expansion of 1/2 in x 6.663 * [backup-simplify]: Simplify 1/2 into 1/2 6.664 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.664 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.664 * [backup-simplify]: Simplify (sqrt 1) into 1 6.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.666 * [backup-simplify]: Simplify (+ 0 0) into 0 6.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.667 * [taylor]: Taking taylor expansion of 1 in x 6.667 * [backup-simplify]: Simplify 1 into 1 6.667 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 6.667 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 6.667 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 6.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 6.667 * [taylor]: Taking taylor expansion of 1/2 in x 6.667 * [backup-simplify]: Simplify 1/2 into 1/2 6.667 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 6.667 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.667 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.667 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.667 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.667 * [taylor]: Taking taylor expansion of 1 in x 6.667 * [backup-simplify]: Simplify 1 into 1 6.667 * [taylor]: Taking taylor expansion of 1 in x 6.667 * [backup-simplify]: Simplify 1 into 1 6.667 * [taylor]: Taking taylor expansion of (* x x) in x 6.667 * [taylor]: Taking taylor expansion of x in x 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [taylor]: Taking taylor expansion of x in x 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify (* 1 1) into 1 6.668 * [backup-simplify]: Simplify (* 0 0) into 0 6.669 * [backup-simplify]: Simplify (+ 1 0) into 1 6.669 * [backup-simplify]: Simplify (sqrt 1) into 1 6.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.671 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.672 * [backup-simplify]: Simplify (/ 1 1) into 1 6.672 * [taylor]: Taking taylor expansion of 1/2 in x 6.672 * [backup-simplify]: Simplify 1/2 into 1/2 6.673 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.673 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 6.673 * [backup-simplify]: Simplify (sqrt 1) into 1 6.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.675 * [backup-simplify]: Simplify (+ 0 0) into 0 6.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.676 * [taylor]: Taking taylor expansion of 1 in x 6.676 * [backup-simplify]: Simplify 1 into 1 6.677 * [backup-simplify]: Simplify (+ 1 1) into 2 6.677 * [backup-simplify]: Simplify 2 into 2 6.677 * [backup-simplify]: Simplify (+ 0 0) into 0 6.677 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.680 * [backup-simplify]: Simplify (+ 0 1) into 1 6.681 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 6.683 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 6.684 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 6.685 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 6.685 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 6.685 * [backup-simplify]: Simplify -1/8 into -1/8 6.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.688 * [backup-simplify]: Simplify (+ 0 0) into 0 6.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 6.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (+ 0 0) into 0 6.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 6.694 * [backup-simplify]: Simplify (+ 0 0) into 0 6.694 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.697 * [backup-simplify]: Simplify (+ 0 0) into 0 6.699 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 6.702 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 6.703 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 6.704 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 6.705 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 6.705 * [backup-simplify]: Simplify 11/128 into 11/128 6.705 * [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))) 6.705 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 (/ 1 x))))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) 6.705 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 6.705 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 6.705 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.705 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.705 * [taylor]: Taking taylor expansion of 1/2 in x 6.705 * [backup-simplify]: Simplify 1/2 into 1/2 6.705 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.705 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.705 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.705 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.705 * [taylor]: Taking taylor expansion of 1 in x 6.705 * [backup-simplify]: Simplify 1 into 1 6.705 * [taylor]: Taking taylor expansion of 1 in x 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.706 * [taylor]: Taking taylor expansion of x in x 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (/ 1 1) into 1 6.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.706 * [taylor]: Taking taylor expansion of x in x 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (/ 1 1) into 1 6.707 * [backup-simplify]: Simplify (* 1 1) into 1 6.707 * [backup-simplify]: Simplify (+ 0 1) into 1 6.707 * [backup-simplify]: Simplify (sqrt 1) into 1 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.710 * [backup-simplify]: Simplify (/ 1 1) into 1 6.710 * [taylor]: Taking taylor expansion of 1/2 in x 6.710 * [backup-simplify]: Simplify 1/2 into 1/2 6.710 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.710 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.711 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.711 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.712 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.712 * [taylor]: Taking taylor expansion of 1 in x 6.712 * [backup-simplify]: Simplify 1 into 1 6.712 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 6.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 6.712 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 6.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 6.712 * [taylor]: Taking taylor expansion of 1/2 in x 6.712 * [backup-simplify]: Simplify 1/2 into 1/2 6.712 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 6.712 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.712 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.712 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.712 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.712 * [taylor]: Taking taylor expansion of 1 in x 6.712 * [backup-simplify]: Simplify 1 into 1 6.712 * [taylor]: Taking taylor expansion of 1 in x 6.712 * [backup-simplify]: Simplify 1 into 1 6.712 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.712 * [taylor]: Taking taylor expansion of x in x 6.712 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.713 * [taylor]: Taking taylor expansion of x in x 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.713 * [backup-simplify]: Simplify (* 1 1) into 1 6.714 * [backup-simplify]: Simplify (+ 0 1) into 1 6.714 * [backup-simplify]: Simplify (sqrt 1) into 1 6.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.715 * [backup-simplify]: Simplify (+ 0 0) into 0 6.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.716 * [backup-simplify]: Simplify (/ 1 1) into 1 6.716 * [taylor]: Taking taylor expansion of 1/2 in x 6.716 * [backup-simplify]: Simplify 1/2 into 1/2 6.716 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.717 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.717 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.717 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.718 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.718 * [taylor]: Taking taylor expansion of 1 in x 6.718 * [backup-simplify]: Simplify 1 into 1 6.719 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 6.720 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 6.721 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 6.722 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.723 * [backup-simplify]: Simplify (+ 0 0) into 0 6.726 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.728 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.730 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.734 * [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))))) 6.735 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 (/ 1 (- x)))))) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) 6.735 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 6.735 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 6.735 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.735 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.735 * [taylor]: Taking taylor expansion of 1/2 in x 6.735 * [backup-simplify]: Simplify 1/2 into 1/2 6.735 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.735 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.735 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.735 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.735 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.735 * [taylor]: Taking taylor expansion of 1 in x 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of 1 in x 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.735 * [taylor]: Taking taylor expansion of -1 in x 6.735 * [backup-simplify]: Simplify -1 into -1 6.735 * [taylor]: Taking taylor expansion of x in x 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (/ -1 1) into -1 6.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.736 * [taylor]: Taking taylor expansion of -1 in x 6.736 * [backup-simplify]: Simplify -1 into -1 6.736 * [taylor]: Taking taylor expansion of x in x 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (/ -1 1) into -1 6.737 * [backup-simplify]: Simplify (* -1 -1) into 1 6.737 * [backup-simplify]: Simplify (+ 0 1) into 1 6.738 * [backup-simplify]: Simplify (sqrt 1) into 1 6.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.740 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.740 * [backup-simplify]: Simplify (+ 0 0) into 0 6.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.742 * [backup-simplify]: Simplify (/ 1 1) into 1 6.742 * [taylor]: Taking taylor expansion of 1/2 in x 6.742 * [backup-simplify]: Simplify 1/2 into 1/2 6.742 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.742 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.743 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.743 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.745 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.745 * [taylor]: Taking taylor expansion of 1 in x 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 6.745 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 6.745 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 6.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 6.745 * [taylor]: Taking taylor expansion of 1/2 in x 6.745 * [backup-simplify]: Simplify 1/2 into 1/2 6.745 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 6.745 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.745 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.746 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.746 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.746 * [taylor]: Taking taylor expansion of 1 in x 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [taylor]: Taking taylor expansion of 1 in x 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.746 * [taylor]: Taking taylor expansion of -1 in x 6.746 * [backup-simplify]: Simplify -1 into -1 6.746 * [taylor]: Taking taylor expansion of x in x 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 1 into 1 6.747 * [backup-simplify]: Simplify (/ -1 1) into -1 6.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.747 * [taylor]: Taking taylor expansion of -1 in x 6.747 * [backup-simplify]: Simplify -1 into -1 6.747 * [taylor]: Taking taylor expansion of x in x 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.747 * [backup-simplify]: Simplify (/ -1 1) into -1 6.748 * [backup-simplify]: Simplify (* -1 -1) into 1 6.748 * [backup-simplify]: Simplify (+ 0 1) into 1 6.749 * [backup-simplify]: Simplify (sqrt 1) into 1 6.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.751 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.752 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.753 * [backup-simplify]: Simplify (/ 1 1) into 1 6.753 * [taylor]: Taking taylor expansion of 1/2 in x 6.753 * [backup-simplify]: Simplify 1/2 into 1/2 6.753 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.754 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.754 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.755 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.756 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.756 * [taylor]: Taking taylor expansion of 1 in x 6.756 * [backup-simplify]: Simplify 1 into 1 6.757 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 6.758 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 6.760 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 6.762 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 6.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.764 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 6.771 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.773 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 6.776 * [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)))))) 6.776 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1 1) 6.776 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 6.776 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 6.776 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 6.776 * [taylor]: Taking taylor expansion of 1/2 in x 6.776 * [backup-simplify]: Simplify 1/2 into 1/2 6.776 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.776 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.777 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.777 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.777 * [taylor]: Taking taylor expansion of 1 in x 6.777 * [backup-simplify]: Simplify 1 into 1 6.777 * [taylor]: Taking taylor expansion of 1 in x 6.777 * [backup-simplify]: Simplify 1 into 1 6.777 * [taylor]: Taking taylor expansion of (* x x) in x 6.777 * [taylor]: Taking taylor expansion of x in x 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.777 * [taylor]: Taking taylor expansion of x in x 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.777 * [backup-simplify]: Simplify (* 1 1) into 1 6.777 * [backup-simplify]: Simplify (* 0 0) into 0 6.777 * [backup-simplify]: Simplify (+ 1 0) into 1 6.778 * [backup-simplify]: Simplify (sqrt 1) into 1 6.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.779 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.779 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.779 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 6.780 * [taylor]: Taking taylor expansion of 1/2 in x 6.780 * [backup-simplify]: Simplify 1/2 into 1/2 6.780 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 6.780 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 6.780 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 6.780 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.780 * [taylor]: Taking taylor expansion of 1 in x 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [taylor]: Taking taylor expansion of 1 in x 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [taylor]: Taking taylor expansion of (* x x) in x 6.780 * [taylor]: Taking taylor expansion of x in x 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [taylor]: Taking taylor expansion of x in x 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (* 1 1) into 1 6.780 * [backup-simplify]: Simplify (* 0 0) into 0 6.781 * [backup-simplify]: Simplify (+ 1 0) into 1 6.781 * [backup-simplify]: Simplify (sqrt 1) into 1 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.786 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.787 * [backup-simplify]: Simplify (+ 0 0) into 0 6.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.788 * [backup-simplify]: Simplify 1/2 into 1/2 6.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.789 * [backup-simplify]: Simplify (+ 0 1) into 1 6.790 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.791 * [backup-simplify]: Simplify -1/4 into -1/4 6.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.792 * [backup-simplify]: Simplify (+ 0 0) into 0 6.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.794 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.796 * [backup-simplify]: Simplify (+ 0 0) into 0 6.796 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.798 * [backup-simplify]: Simplify 3/16 into 3/16 6.798 * [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))) 6.798 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 6.798 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 6.798 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 6.798 * [taylor]: Taking taylor expansion of 1/2 in x 6.798 * [backup-simplify]: Simplify 1/2 into 1/2 6.798 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.798 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.798 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.798 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.798 * [taylor]: Taking taylor expansion of 1 in x 6.798 * [backup-simplify]: Simplify 1 into 1 6.798 * [taylor]: Taking taylor expansion of 1 in x 6.798 * [backup-simplify]: Simplify 1 into 1 6.798 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.798 * [taylor]: Taking taylor expansion of x in x 6.798 * [backup-simplify]: Simplify 0 into 0 6.798 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (/ 1 1) into 1 6.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.799 * [taylor]: Taking taylor expansion of x in x 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (/ 1 1) into 1 6.799 * [backup-simplify]: Simplify (* 1 1) into 1 6.800 * [backup-simplify]: Simplify (+ 0 1) into 1 6.800 * [backup-simplify]: Simplify (sqrt 1) into 1 6.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.801 * [backup-simplify]: Simplify (+ 0 0) into 0 6.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.802 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 6.802 * [taylor]: Taking taylor expansion of 1/2 in x 6.802 * [backup-simplify]: Simplify 1/2 into 1/2 6.802 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 6.802 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 6.802 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 6.802 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.802 * [taylor]: Taking taylor expansion of 1 in x 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [taylor]: Taking taylor expansion of 1 in x 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.802 * [taylor]: Taking taylor expansion of x in x 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 1 into 1 6.803 * [backup-simplify]: Simplify (/ 1 1) into 1 6.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.803 * [taylor]: Taking taylor expansion of x in x 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [backup-simplify]: Simplify (/ 1 1) into 1 6.803 * [backup-simplify]: Simplify (* 1 1) into 1 6.803 * [backup-simplify]: Simplify (+ 0 1) into 1 6.804 * [backup-simplify]: Simplify (sqrt 1) into 1 6.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.805 * [backup-simplify]: Simplify (+ 0 0) into 0 6.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.806 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.806 * [backup-simplify]: Simplify 1/2 into 1/2 6.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify (* 1 1) into 1 6.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.809 * [backup-simplify]: Simplify (+ 1 0) into 1 6.810 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.811 * [backup-simplify]: Simplify -1/4 into -1/4 6.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.814 * [backup-simplify]: Simplify (+ 0 0) into 0 6.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.818 * [backup-simplify]: Simplify (+ 0 0) into 0 6.819 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.820 * [backup-simplify]: Simplify 3/16 into 3/16 6.820 * [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)))) 6.821 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 6.821 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 6.821 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 6.821 * [taylor]: Taking taylor expansion of 1/2 in x 6.821 * [backup-simplify]: Simplify 1/2 into 1/2 6.821 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.821 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.821 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.821 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.821 * [taylor]: Taking taylor expansion of 1 in x 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [taylor]: Taking taylor expansion of 1 in x 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.821 * [taylor]: Taking taylor expansion of -1 in x 6.821 * [backup-simplify]: Simplify -1 into -1 6.821 * [taylor]: Taking taylor expansion of x in x 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (/ -1 1) into -1 6.821 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.821 * [taylor]: Taking taylor expansion of -1 in x 6.821 * [backup-simplify]: Simplify -1 into -1 6.821 * [taylor]: Taking taylor expansion of x in x 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (/ -1 1) into -1 6.822 * [backup-simplify]: Simplify (* -1 -1) into 1 6.822 * [backup-simplify]: Simplify (+ 0 1) into 1 6.822 * [backup-simplify]: Simplify (sqrt 1) into 1 6.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.824 * [backup-simplify]: Simplify (+ 0 0) into 0 6.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.825 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 6.825 * [taylor]: Taking taylor expansion of 1/2 in x 6.825 * [backup-simplify]: Simplify 1/2 into 1/2 6.825 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 6.825 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 6.825 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 6.825 * [taylor]: Taking taylor expansion of (* 1 1) in x 6.825 * [taylor]: Taking taylor expansion of 1 in x 6.825 * [backup-simplify]: Simplify 1 into 1 6.825 * [taylor]: Taking taylor expansion of 1 in x 6.825 * [backup-simplify]: Simplify 1 into 1 6.825 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.826 * [taylor]: Taking taylor expansion of -1 in x 6.826 * [backup-simplify]: Simplify -1 into -1 6.826 * [taylor]: Taking taylor expansion of x in x 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (/ -1 1) into -1 6.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.826 * [taylor]: Taking taylor expansion of -1 in x 6.826 * [backup-simplify]: Simplify -1 into -1 6.826 * [taylor]: Taking taylor expansion of x in x 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.827 * [backup-simplify]: Simplify (/ -1 1) into -1 6.827 * [backup-simplify]: Simplify (* -1 -1) into 1 6.827 * [backup-simplify]: Simplify (+ 0 1) into 1 6.828 * [backup-simplify]: Simplify (sqrt 1) into 1 6.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.830 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.831 * [backup-simplify]: Simplify (+ 0 0) into 0 6.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.832 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.832 * [backup-simplify]: Simplify 1/2 into 1/2 6.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify (* 1 1) into 1 6.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.836 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.837 * [backup-simplify]: Simplify (+ 1 0) into 1 6.838 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 6.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 6.839 * [backup-simplify]: Simplify -1/4 into -1/4 6.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.843 * [backup-simplify]: Simplify (+ 0 0) into 0 6.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 6.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 6.846 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.850 * [backup-simplify]: Simplify (+ 0 0) into 0 6.852 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 6.854 * [backup-simplify]: Simplify 3/16 into 3/16 6.854 * [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)))) 6.855 * * * [progress]: simplifying candidates 6.855 * * * * [progress]: [ 1 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 2 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 3 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 4 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 5 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 6 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 7 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 8 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 9 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 10 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 11 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 12 / 151 ] simplifiying candidate # 6.855 * * * * [progress]: [ 13 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 14 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 15 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 16 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 17 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 18 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 19 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 20 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 21 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 22 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 23 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 24 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 25 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 26 / 151 ] simplifiying candidate # 6.856 * * * * [progress]: [ 27 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 28 / 151 ] simplifiying candidate #real (real->posit16 (log (exp (/ 1/2 (hypot 1 x)))))) 1/2)))))> 6.857 * * * * [progress]: [ 29 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 30 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 31 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 32 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 33 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 34 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 35 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 36 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 37 / 151 ] simplifiying candidate # 6.857 * * * * [progress]: [ 38 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 39 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 40 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 41 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 42 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 43 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 44 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 45 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 46 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 47 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 48 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 49 / 151 ] simplifiying candidate # 6.858 * * * * [progress]: [ 50 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 51 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 52 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 53 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 54 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 55 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 56 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 57 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 58 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 59 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 60 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 61 / 151 ] simplifiying candidate # 6.859 * * * * [progress]: [ 62 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 63 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 64 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 65 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 66 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 67 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 68 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 69 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 70 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 71 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 72 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 73 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 74 / 151 ] simplifiying candidate # 6.860 * * * * [progress]: [ 75 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 76 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 77 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 78 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 79 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 80 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 81 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 82 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 83 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 84 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 85 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 86 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 87 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 88 / 151 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2)))))> 6.861 * * * * [progress]: [ 89 / 151 ] simplifiying candidate # 6.861 * * * * [progress]: [ 90 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 91 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 92 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 93 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 94 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 95 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 96 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 97 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 98 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 99 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 100 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 101 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 102 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 103 / 151 ] simplifiying candidate # 6.862 * * * * [progress]: [ 104 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 105 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 106 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 107 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 108 / 151 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (log (exp (/ 1/2 (hypot 1 x)))) 1/2)))))))> 6.863 * * * * [progress]: [ 109 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 110 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 111 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 112 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 113 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 114 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 115 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 116 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 117 / 151 ] simplifiying candidate # 6.863 * * * * [progress]: [ 118 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 119 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 120 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 121 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 122 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 123 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 124 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 125 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 126 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 127 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 128 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 129 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 130 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 131 / 151 ] simplifiying candidate # 6.864 * * * * [progress]: [ 132 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 133 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 134 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 135 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 136 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 137 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 138 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 139 / 151 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))))) 1/2)))))> 6.865 * * * * [progress]: [ 140 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 141 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 142 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 143 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 144 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 145 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 146 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 147 / 151 ] simplifiying candidate # 6.865 * * * * [progress]: [ 148 / 151 ] simplifiying candidate # 6.866 * * * * [progress]: [ 149 / 151 ] simplifiying candidate # 6.866 * * * * [progress]: [ 150 / 151 ] simplifiying candidate # 6.866 * * * * [progress]: [ 151 / 151 ] simplifiying candidate # 6.869 * [simplify]: Simplifying: (expm1 (log (exp (/ 1/2 (hypot 1 x))))) (log1p (log (exp (/ 1/2 (hypot 1 x))))) (log (* (cbrt (exp (/ 1/2 (hypot 1 x)))) (cbrt (exp (/ 1/2 (hypot 1 x)))))) (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log 1) (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (/ 1/2 (hypot 1 x)))) (log (exp (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))) (log (exp (sqrt (/ 1/2 (hypot 1 x))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))) (log (exp (/ (* (cbrt 1/2) (cbrt 1/2)) 1))) (log (exp (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (log 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(sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1 1) (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) (/ 1/2 1) (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (- (+ (* 3/16 (pow x 4)) 1/2) (* 1/4 (pow x 2))) (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) (- (* 1/4 (/ 1 (pow x 3))) (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) (- (+ (* 1/4 (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)))) (- (+ (* 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)))))) (- (+ (* 3/16 (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)))) 6.876 * * [simplify]: iteration 1: (290 enodes) 7.101 * * [simplify]: iteration 2: (1151 enodes) 7.594 * * [simplify]: Extracting #0: cost 102 inf + 0 7.596 * * [simplify]: Extracting #1: cost 441 inf + 4 7.601 * * [simplify]: Extracting #2: cost 785 inf + 1246 7.609 * * [simplify]: Extracting #3: cost 741 inf + 16164 7.622 * * [simplify]: Extracting #4: cost 400 inf + 84109 7.655 * * [simplify]: Extracting #5: cost 97 inf + 162303 7.714 * * [simplify]: Extracting #6: cost 16 inf + 184588 7.746 * * [simplify]: Extracting #7: cost 0 inf + 188959 7.796 * [simplify]: Simplified to: (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (+ (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (cbrt (exp (/ 1/2 (hypot 1 x)))))) (log (cbrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) (log (sqrt (exp (/ 1/2 (hypot 1 x))))) 0 (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (* (cbrt 1/2) (cbrt 1/2)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1 (sqrt (hypot 1 x))) 1 1 1/2 (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (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))) (real->posit16 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (- (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (+ (- (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (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)) (cbrt 1/2)) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (hypot 1 x))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (hypot 1 x))) (- (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (/ (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ -1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (- (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))) (* (/ 1 (sqrt (hypot 1 x))) (+ (/ -1/2 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (+ 1/2 (* (* (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1/2 (- (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (cbrt 1/2))))) (+ (- (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (+ 1/2 (/ (* (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2))) (hypot 1 x))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (hypot 1 x))) (+ 1/2 (/ (* (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (+ 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (+ 1/2 (/ (* (/ -1/2 (cbrt (hypot 1 x))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ -1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ -1/2 (sqrt (hypot 1 x))))) (* (/ 1 (sqrt (hypot 1 x))) (+ (/ -1/2 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (+ 1/2 (* (* (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (+ 1/2 (- (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (cbrt 1/2))))) (+ (- (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (/ (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (sqrt (hypot 1 x)) (cbrt 1/2)))) (+ 1/2 (/ (* (- (cbrt 1/2)) (* (cbrt 1/2) (cbrt 1/2))) (hypot 1 x))) (fma (- (/ (cbrt 1/2) (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (* (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2)) (hypot 1 x))) (+ 1/2 (/ (* (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))) (+ 1/2 (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))) (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (+ 1/2 (/ (* (/ -1/2 (cbrt (hypot 1 x))) 1) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (fma (/ -1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (/ 1/2 (cbrt (hypot 1 x))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (+ 1/2 (* (/ 1 (sqrt (hypot 1 x))) (/ -1/2 (sqrt (hypot 1 x))))) (* (/ 1 (sqrt (hypot 1 x))) (+ (/ -1/2 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))) (+ (/ 1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x))) (expm1 (- 1/2 (/ 1/2 (hypot 1 x)))) (log1p (- 1/2 (/ 1/2 (hypot 1 x)))) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (/ -1/2 (hypot 1 x)) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (log (- 1/2 (/ 1/2 (hypot 1 x)))) (exp (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/8 (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x))) (fma (/ 1/2 (hypot 1 x)) (+ 1/2 (/ 1/2 (hypot 1 x))) 1/4) (/ -1/2 (hypot 1 x)) (- 1/4 (/ 1/4 (* (hypot 1 x) (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))) (/ -1/2 (hypot 1 x)) (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x)))) (expm1 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (log1p (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (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 (+ 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)))))) (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)))))) (- 1/2 (/ 1/2 (hypot 1 x))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (real->posit16 (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (expm1 (/ 1/2 (hypot 1 x))) (log1p (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (log (/ 1/2 (hypot 1 x))) (exp (/ 1/2 (hypot 1 x))) (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) (/ (/ (/ 1/8 (hypot 1 x)) (hypot 1 x)) (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) -1/2 (- (hypot 1 x)) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (/ (sqrt (hypot 1 x)) (cbrt 1/2))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) (* (cbrt 1/2) (cbrt 1/2)) (/ (cbrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2) (/ (sqrt 1/2) (hypot 1 x)) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1 (/ 1/2 (hypot 1 x)) (/ 1 (hypot 1 x)) (/ (hypot 1 x) 1/2) (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (sqrt (hypot 1 x))) 1/2 (/ (hypot 1 x) (cbrt 1/2)) (/ (hypot 1 x) (sqrt 1/2)) (/ (hypot 1 x) 1/2) (real->posit16 (/ 1/2 (hypot 1 x))) (fma 3/16 (* (* x x) (* x x)) (- 1/2 (* 1/4 (* x x)))) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* x (* x x))))) (- (- (/ 1/4 (* x (* x x))) (/ 1/2 x)) (/ 3/16 (pow x 5))) (fma (* x x) 1/4 (fma 5/32 (* (* x x) (* (* x x) (* x x))) (* -3/16 (* (* x x) (* x x))))) (+ (- 1/2 (/ 1/2 x)) (/ 1/4 (* x (* x x)))) (+ 1/2 (- (/ 1/2 x) (/ 1/4 (* x (* x x))))) (fma 11/128 (* (* x x) (* x x)) (+ 2 (* (* x x) -1/8))) (+ (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (- 1 (/ 1/32 (* (sqrt 1/2) (* 1/2 (* x x)))))) (- (+ (sqrt 1/2) 1) (+ (/ 1/32 (* (sqrt 1/2) (* 1/2 (* x x)))) (/ 1/4 (* x (sqrt 1/2))))) (fma 3/16 (* (* x x) (* x x)) (- 1/2 (* 1/4 (* x x)))) (+ (/ 3/16 (pow x 5)) (- (/ 1/2 x) (/ 1/4 (* x (* x x))))) (- (- (/ 1/4 (* x (* x x))) (/ 1/2 x)) (/ 3/16 (pow x 5))) 7.812 * * * [progress]: adding candidates to table 9.510 * * [progress]: iteration 4 / 4 9.510 * * * [progress]: picking best candidate 9.512 * * * * [pick]: Picked # 9.513 * * * [progress]: localizing error 9.554 * * * [progress]: generating rewritten candidates 9.554 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 9.555 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3) 9.555 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 3) 9.662 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 3 1) 9.712 * * * [progress]: generating series expansions 9.713 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.713 * [backup-simplify]: Simplify (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) into (fma 69/1024 (pow x 6) (fma 1/8 (pow x 2) (* -11/128 (pow x 4)))) 9.713 * [approximate]: Taking taylor expansion of (fma 69/1024 (pow x 6) (fma 1/8 (pow x 2) (* -11/128 (pow x 4)))) in (x) around 0 9.713 * [taylor]: Taking taylor expansion of (fma 69/1024 (pow x 6) (fma 1/8 (pow x 2) (* -11/128 (pow x 4)))) in x 9.713 * [taylor]: Rewrote expression to (+ (* 69/1024 (pow x 6)) (fma 1/8 (pow x 2) (* -11/128 (pow x 4)))) 9.713 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 9.713 * [taylor]: Taking taylor expansion of 69/1024 in x 9.713 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.713 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.713 * [taylor]: Taking taylor expansion of x in x 9.713 * [backup-simplify]: Simplify 0 into 0 9.713 * [backup-simplify]: Simplify 1 into 1 9.713 * [taylor]: Taking taylor expansion of (fma 1/8 (pow x 2) (* -11/128 (pow x 4))) in x 9.714 * [taylor]: Rewrote expression to (+ (* 1/8 (pow x 2)) (* -11/128 (pow x 4))) 9.714 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 2)) in x 9.714 * [taylor]: Taking taylor expansion of 1/8 in x 9.714 * [backup-simplify]: Simplify 1/8 into 1/8 9.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.714 * [taylor]: Taking taylor expansion of x in x 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 9.714 * [taylor]: Taking taylor expansion of -11/128 in x 9.714 * [backup-simplify]: Simplify -11/128 into -11/128 9.714 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.714 * [taylor]: Taking taylor expansion of x in x 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [taylor]: Taking taylor expansion of (fma 69/1024 (pow x 6) (fma 1/8 (pow x 2) (* -11/128 (pow x 4)))) in x 9.714 * [taylor]: Rewrote expression to (+ (* 69/1024 (pow x 6)) (fma 1/8 (pow x 2) (* -11/128 (pow x 4)))) 9.714 * [taylor]: Taking taylor expansion of (* 69/1024 (pow x 6)) in x 9.714 * [taylor]: Taking taylor expansion of 69/1024 in x 9.714 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.714 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.714 * [taylor]: Taking taylor expansion of x in x 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [taylor]: Taking taylor expansion of (fma 1/8 (pow x 2) (* -11/128 (pow x 4))) in x 9.714 * [taylor]: Rewrote expression to (+ (* 1/8 (pow x 2)) (* -11/128 (pow x 4))) 9.714 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 2)) in x 9.714 * [taylor]: Taking taylor expansion of 1/8 in x 9.714 * [backup-simplify]: Simplify 1/8 into 1/8 9.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.714 * [taylor]: Taking taylor expansion of x in x 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.714 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 9.715 * [taylor]: Taking taylor expansion of -11/128 in x 9.715 * [backup-simplify]: Simplify -11/128 into -11/128 9.715 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.715 * [taylor]: Taking taylor expansion of x in x 9.715 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify 1 into 1 9.715 * [backup-simplify]: Simplify (* 1 1) into 1 9.716 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.716 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.717 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.717 * [backup-simplify]: Simplify 1/8 into 1/8 9.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.718 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.719 * [backup-simplify]: Simplify (+ 0 0) into 0 9.719 * [backup-simplify]: Simplify (+ 0 0) into 0 9.719 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.722 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 9.722 * [backup-simplify]: Simplify (* 1 1) into 1 9.722 * [backup-simplify]: Simplify (* 1 1) into 1 9.723 * [backup-simplify]: Simplify (* -11/128 1) into -11/128 9.723 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.724 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.724 * [backup-simplify]: Simplify -11/128 into -11/128 9.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.726 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.728 * [backup-simplify]: Simplify (+ (* -11/128 0) (* 0 1)) into 0 9.728 * [backup-simplify]: Simplify (+ 0 0) into 0 9.729 * [backup-simplify]: Simplify (+ 0 0) into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify (* 1 1) into 1 9.730 * [backup-simplify]: Simplify (* 1 1) into 1 9.730 * [backup-simplify]: Simplify (* 1 1) into 1 9.731 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 9.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.733 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.734 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.735 * [backup-simplify]: Simplify (+ 0 0) into 0 9.735 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.735 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.735 * [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))) 9.736 * [backup-simplify]: Simplify (fma 69/1024 (* (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x)))) (fma 1/8 (* (/ 1 x) (/ 1 x)) (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) -11/128))) into (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) 9.736 * [approximate]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) in (x) around 0 9.736 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) in x 9.736 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) 9.736 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 9.736 * [taylor]: Taking taylor expansion of 69/1024 in x 9.736 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.736 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.736 * [taylor]: Taking taylor expansion of x in x 9.736 * [backup-simplify]: Simplify 0 into 0 9.736 * [backup-simplify]: Simplify 1 into 1 9.736 * [backup-simplify]: Simplify (* 1 1) into 1 9.736 * [backup-simplify]: Simplify (* 1 1) into 1 9.737 * [backup-simplify]: Simplify (* 1 1) into 1 9.737 * [backup-simplify]: Simplify (/ 1 1) into 1 9.737 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.737 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.737 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.737 * [taylor]: Taking taylor expansion of 1/8 in x 9.737 * [backup-simplify]: Simplify 1/8 into 1/8 9.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.737 * [taylor]: Taking taylor expansion of x in x 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 1 into 1 9.737 * [backup-simplify]: Simplify (* 1 1) into 1 9.737 * [backup-simplify]: Simplify (/ 1 1) into 1 9.737 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.737 * [taylor]: Taking taylor expansion of -11/128 in x 9.738 * [backup-simplify]: Simplify -11/128 into -11/128 9.738 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.738 * [taylor]: Taking taylor expansion of x in x 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 1 into 1 9.738 * [backup-simplify]: Simplify (* 1 1) into 1 9.738 * [backup-simplify]: Simplify (* 1 1) into 1 9.738 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.738 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) in x 9.738 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) 9.738 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 9.738 * [taylor]: Taking taylor expansion of 69/1024 in x 9.738 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.738 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.739 * [taylor]: Taking taylor expansion of x in x 9.739 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify 1 into 1 9.739 * [backup-simplify]: Simplify (* 1 1) into 1 9.739 * [backup-simplify]: Simplify (* 1 1) into 1 9.739 * [backup-simplify]: Simplify (* 1 1) into 1 9.740 * [backup-simplify]: Simplify (/ 1 1) into 1 9.740 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.740 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.740 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.740 * [taylor]: Taking taylor expansion of 1/8 in x 9.740 * [backup-simplify]: Simplify 1/8 into 1/8 9.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.740 * [taylor]: Taking taylor expansion of x in x 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [backup-simplify]: Simplify (* 1 1) into 1 9.740 * [backup-simplify]: Simplify (/ 1 1) into 1 9.740 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.740 * [taylor]: Taking taylor expansion of -11/128 in x 9.740 * [backup-simplify]: Simplify -11/128 into -11/128 9.740 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.740 * [taylor]: Taking taylor expansion of x in x 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify 1 into 1 9.741 * [backup-simplify]: Simplify (* 1 1) into 1 9.741 * [backup-simplify]: Simplify (* 1 1) into 1 9.741 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.741 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 9.742 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.742 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.744 * [backup-simplify]: Simplify (+ (* 69/1024 0) (* 0 1)) into 0 9.744 * [backup-simplify]: Simplify (+ 0 0) into 0 9.744 * [backup-simplify]: Simplify 0 into 0 9.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.747 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (* 0 1))) into 0 9.747 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.747 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.747 * [backup-simplify]: Simplify -11/128 into -11/128 9.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.751 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.752 * [backup-simplify]: Simplify (+ 0 0) into 0 9.753 * [backup-simplify]: Simplify (+ 0 0) into 0 9.753 * [backup-simplify]: Simplify 0 into 0 9.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.756 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.756 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.759 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.759 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.759 * [backup-simplify]: Simplify 1/8 into 1/8 9.759 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 x)) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 x)) 4)) (* 69/1024 (pow (/ 1 (/ 1 x)) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.760 * [backup-simplify]: Simplify (fma 69/1024 (* (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x))))) (fma 1/8 (* (/ 1 (- x)) (/ 1 (- x))) (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) -11/128))) into (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) 9.760 * [approximate]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) in (x) around 0 9.760 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) in x 9.760 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) 9.760 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 9.760 * [taylor]: Taking taylor expansion of 69/1024 in x 9.760 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.760 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.760 * [taylor]: Taking taylor expansion of x in x 9.760 * [backup-simplify]: Simplify 0 into 0 9.760 * [backup-simplify]: Simplify 1 into 1 9.760 * [backup-simplify]: Simplify (* 1 1) into 1 9.761 * [backup-simplify]: Simplify (* 1 1) into 1 9.761 * [backup-simplify]: Simplify (* 1 1) into 1 9.761 * [backup-simplify]: Simplify (/ 1 1) into 1 9.761 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.761 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.761 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.761 * [taylor]: Taking taylor expansion of 1/8 in x 9.761 * [backup-simplify]: Simplify 1/8 into 1/8 9.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.761 * [taylor]: Taking taylor expansion of x in x 9.761 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify 1 into 1 9.761 * [backup-simplify]: Simplify (* 1 1) into 1 9.762 * [backup-simplify]: Simplify (/ 1 1) into 1 9.762 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.762 * [taylor]: Taking taylor expansion of -11/128 in x 9.762 * [backup-simplify]: Simplify -11/128 into -11/128 9.762 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.762 * [taylor]: Taking taylor expansion of x in x 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify 1 into 1 9.762 * [backup-simplify]: Simplify (* 1 1) into 1 9.762 * [backup-simplify]: Simplify (* 1 1) into 1 9.763 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.763 * [taylor]: Taking taylor expansion of (fma 69/1024 (/ 1 (pow x 6)) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) in x 9.763 * [taylor]: Rewrote expression to (+ (* 69/1024 (/ 1 (pow x 6))) (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4)))) 9.763 * [taylor]: Taking taylor expansion of (* 69/1024 (/ 1 (pow x 6))) in x 9.763 * [taylor]: Taking taylor expansion of 69/1024 in x 9.763 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 6)) in x 9.763 * [taylor]: Taking taylor expansion of (pow x 6) in x 9.763 * [taylor]: Taking taylor expansion of x in x 9.763 * [backup-simplify]: Simplify 0 into 0 9.763 * [backup-simplify]: Simplify 1 into 1 9.763 * [backup-simplify]: Simplify (* 1 1) into 1 9.763 * [backup-simplify]: Simplify (* 1 1) into 1 9.764 * [backup-simplify]: Simplify (* 1 1) into 1 9.764 * [backup-simplify]: Simplify (/ 1 1) into 1 9.764 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.764 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.764 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.764 * [taylor]: Taking taylor expansion of 1/8 in x 9.764 * [backup-simplify]: Simplify 1/8 into 1/8 9.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.764 * [taylor]: Taking taylor expansion of x in x 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.764 * [backup-simplify]: Simplify (* 1 1) into 1 9.765 * [backup-simplify]: Simplify (/ 1 1) into 1 9.765 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.765 * [taylor]: Taking taylor expansion of -11/128 in x 9.765 * [backup-simplify]: Simplify -11/128 into -11/128 9.765 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.765 * [taylor]: Taking taylor expansion of x in x 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.765 * [backup-simplify]: Simplify (* 1 1) into 1 9.765 * [backup-simplify]: Simplify (* 1 1) into 1 9.765 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.766 * [backup-simplify]: Simplify (* 69/1024 1) into 69/1024 9.766 * [backup-simplify]: Simplify (+ 69/1024 0) into 69/1024 9.766 * [backup-simplify]: Simplify 69/1024 into 69/1024 9.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.768 * [backup-simplify]: Simplify (+ (* 69/1024 0) (* 0 1)) into 0 9.768 * [backup-simplify]: Simplify (+ 0 0) into 0 9.768 * [backup-simplify]: Simplify 0 into 0 9.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.771 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (* 0 1))) into 0 9.771 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.772 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.772 * [backup-simplify]: Simplify -11/128 into -11/128 9.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.776 * [backup-simplify]: Simplify (+ 0 0) into 0 9.777 * [backup-simplify]: Simplify (+ 0 0) into 0 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.780 * [backup-simplify]: Simplify (+ (* 69/1024 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.781 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.783 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.783 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 9.783 * [backup-simplify]: Simplify 1/8 into 1/8 9.783 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)) (+ (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) (* 69/1024 (pow (/ 1 (/ 1 (- x))) 6)))) into (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) 9.783 * * * * [progress]: [ 2 / 4 ] generating series at (2 3) 9.783 * [backup-simplify]: Simplify (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)) into (fma 1/8 (pow x 2) (* -11/128 (pow x 4))) 9.783 * [approximate]: Taking taylor expansion of (fma 1/8 (pow x 2) (* -11/128 (pow x 4))) in (x) around 0 9.783 * [taylor]: Taking taylor expansion of (fma 1/8 (pow x 2) (* -11/128 (pow x 4))) in x 9.784 * [taylor]: Rewrote expression to (+ (* 1/8 (pow x 2)) (* -11/128 (pow x 4))) 9.784 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 2)) in x 9.784 * [taylor]: Taking taylor expansion of 1/8 in x 9.784 * [backup-simplify]: Simplify 1/8 into 1/8 9.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.784 * [taylor]: Taking taylor expansion of x in x 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 9.784 * [taylor]: Taking taylor expansion of -11/128 in x 9.784 * [backup-simplify]: Simplify -11/128 into -11/128 9.784 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.784 * [taylor]: Taking taylor expansion of x in x 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (fma 1/8 (pow x 2) (* -11/128 (pow x 4))) in x 9.784 * [taylor]: Rewrote expression to (+ (* 1/8 (pow x 2)) (* -11/128 (pow x 4))) 9.784 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 2)) in x 9.784 * [taylor]: Taking taylor expansion of 1/8 in x 9.784 * [backup-simplify]: Simplify 1/8 into 1/8 9.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.784 * [taylor]: Taking taylor expansion of x in x 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 9.784 * [taylor]: Taking taylor expansion of -11/128 in x 9.784 * [backup-simplify]: Simplify -11/128 into -11/128 9.784 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.784 * [taylor]: Taking taylor expansion of x in x 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (* 1 1) into 1 9.785 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.785 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.785 * [backup-simplify]: Simplify 1/8 into 1/8 9.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.786 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.786 * [backup-simplify]: Simplify (+ 0 0) into 0 9.786 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.787 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 9.787 * [backup-simplify]: Simplify (* 1 1) into 1 9.788 * [backup-simplify]: Simplify (* 1 1) into 1 9.788 * [backup-simplify]: Simplify (* -11/128 1) into -11/128 9.788 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.788 * [backup-simplify]: Simplify -11/128 into -11/128 9.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.791 * [backup-simplify]: Simplify (+ (* -11/128 0) (* 0 1)) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.793 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.794 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.794 * [backup-simplify]: Simplify (+ 0 0) into 0 9.794 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.796 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.798 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.798 * [backup-simplify]: Simplify (+ 0 0) into 0 9.798 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.800 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.808 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.808 * [backup-simplify]: Simplify (+ 0 0) into 0 9.808 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.810 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.813 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.813 * [backup-simplify]: Simplify (+ 0 0) into 0 9.813 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.815 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.818 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.818 * [backup-simplify]: Simplify (+ 0 0) into 0 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify (+ (* -11/128 (pow x 4)) (* 1/8 (pow x 2))) into (- (* 1/8 (pow x 2)) (* 11/128 (pow x 4))) 9.819 * [backup-simplify]: Simplify (fma 1/8 (* (/ 1 x) (/ 1 x)) (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) -11/128)) into (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) 9.819 * [approximate]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in (x) around 0 9.819 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.819 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.819 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.819 * [taylor]: Taking taylor expansion of 1/8 in x 9.819 * [backup-simplify]: Simplify 1/8 into 1/8 9.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.819 * [taylor]: Taking taylor expansion of x in x 9.819 * [backup-simplify]: Simplify 0 into 0 9.819 * [backup-simplify]: Simplify 1 into 1 9.819 * [backup-simplify]: Simplify (* 1 1) into 1 9.819 * [backup-simplify]: Simplify (/ 1 1) into 1 9.819 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.819 * [taylor]: Taking taylor expansion of -11/128 in x 9.819 * [backup-simplify]: Simplify -11/128 into -11/128 9.819 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.820 * [taylor]: Taking taylor expansion of x in x 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 1 into 1 9.820 * [backup-simplify]: Simplify (* 1 1) into 1 9.820 * [backup-simplify]: Simplify (* 1 1) into 1 9.820 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.820 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.820 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.820 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.820 * [taylor]: Taking taylor expansion of 1/8 in x 9.821 * [backup-simplify]: Simplify 1/8 into 1/8 9.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.821 * [taylor]: Taking taylor expansion of x in x 9.821 * [backup-simplify]: Simplify 0 into 0 9.821 * [backup-simplify]: Simplify 1 into 1 9.821 * [backup-simplify]: Simplify (* 1 1) into 1 9.821 * [backup-simplify]: Simplify (/ 1 1) into 1 9.821 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.821 * [taylor]: Taking taylor expansion of -11/128 in x 9.821 * [backup-simplify]: Simplify -11/128 into -11/128 9.821 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.822 * [taylor]: Taking taylor expansion of x in x 9.822 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify 1 into 1 9.822 * [backup-simplify]: Simplify (* 1 1) into 1 9.822 * [backup-simplify]: Simplify (* 1 1) into 1 9.823 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.823 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.823 * [backup-simplify]: Simplify -11/128 into -11/128 9.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.826 * [backup-simplify]: Simplify (+ 0 0) into 0 9.826 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.830 * [backup-simplify]: Simplify 1/8 into 1/8 9.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.833 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.836 * [backup-simplify]: Simplify (+ 0 0) into 0 9.836 * [backup-simplify]: Simplify 0 into 0 9.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.839 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 9.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.842 * [backup-simplify]: Simplify (+ 0 0) into 0 9.842 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.845 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.849 * [backup-simplify]: Simplify (+ 0 0) into 0 9.849 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.853 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.857 * [backup-simplify]: Simplify (+ 0 0) into 0 9.857 * [backup-simplify]: Simplify 0 into 0 9.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.860 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.866 * [backup-simplify]: Simplify 0 into 0 9.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.871 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.877 * [backup-simplify]: Simplify (+ 0 0) into 0 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 x)) 2)) (* -11/128 (pow (/ 1 (/ 1 x)) 4))) into (- (* 1/8 (pow x 2)) (* 11/128 (pow x 4))) 9.877 * [backup-simplify]: Simplify (fma 1/8 (* (/ 1 (- x)) (/ 1 (- x))) (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) -11/128)) into (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) 9.877 * [approximate]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in (x) around 0 9.877 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.877 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.877 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.877 * [taylor]: Taking taylor expansion of 1/8 in x 9.877 * [backup-simplify]: Simplify 1/8 into 1/8 9.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.878 * [taylor]: Taking taylor expansion of x in x 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [backup-simplify]: Simplify (* 1 1) into 1 9.878 * [backup-simplify]: Simplify (/ 1 1) into 1 9.878 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.878 * [taylor]: Taking taylor expansion of -11/128 in x 9.878 * [backup-simplify]: Simplify -11/128 into -11/128 9.878 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.878 * [taylor]: Taking taylor expansion of x in x 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.879 * [backup-simplify]: Simplify (* 1 1) into 1 9.879 * [backup-simplify]: Simplify (* 1 1) into 1 9.880 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.880 * [taylor]: Taking taylor expansion of (fma 1/8 (/ 1 (pow x 2)) (/ -11/128 (pow x 4))) in x 9.880 * [taylor]: Rewrote expression to (+ (* 1/8 (/ 1 (pow x 2))) (/ -11/128 (pow x 4))) 9.880 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow x 2))) in x 9.880 * [taylor]: Taking taylor expansion of 1/8 in x 9.880 * [backup-simplify]: Simplify 1/8 into 1/8 9.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.880 * [taylor]: Taking taylor expansion of x in x 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify 1 into 1 9.880 * [backup-simplify]: Simplify (* 1 1) into 1 9.881 * [backup-simplify]: Simplify (/ 1 1) into 1 9.881 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.881 * [taylor]: Taking taylor expansion of -11/128 in x 9.881 * [backup-simplify]: Simplify -11/128 into -11/128 9.881 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.881 * [taylor]: Taking taylor expansion of x in x 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [backup-simplify]: Simplify (* 1 1) into 1 9.881 * [backup-simplify]: Simplify (* 1 1) into 1 9.882 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.882 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 9.882 * [backup-simplify]: Simplify -11/128 into -11/128 9.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.883 * [backup-simplify]: Simplify (+ 0 0) into 0 9.884 * [backup-simplify]: Simplify 0 into 0 9.884 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 9.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.886 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 9.886 * [backup-simplify]: Simplify 1/8 into 1/8 9.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.887 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 9.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.889 * [backup-simplify]: Simplify (+ 0 0) into 0 9.889 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.891 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 9.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.893 * [backup-simplify]: Simplify (+ 0 0) into 0 9.893 * [backup-simplify]: Simplify 0 into 0 9.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.895 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.898 * [backup-simplify]: Simplify (+ 0 0) into 0 9.898 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.900 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.903 * [backup-simplify]: Simplify (+ 0 0) into 0 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.905 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.908 * [backup-simplify]: Simplify (+ 0 0) into 0 9.908 * [backup-simplify]: Simplify 0 into 0 9.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.910 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 9.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.914 * [backup-simplify]: Simplify (+ 0 0) into 0 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)) (* -11/128 (pow (/ 1 (/ 1 (- x))) 4))) into (- (* 1/8 (pow x 2)) (* 11/128 (pow x 4))) 9.914 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 3) 9.915 * [backup-simplify]: Simplify (* (* (* x x) (* x x)) -11/128) into (* -11/128 (pow x 4)) 9.915 * [approximate]: Taking taylor expansion of (* -11/128 (pow x 4)) in (x) around 0 9.915 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 9.915 * [taylor]: Taking taylor expansion of -11/128 in x 9.915 * [backup-simplify]: Simplify -11/128 into -11/128 9.915 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.915 * [taylor]: Taking taylor expansion of x in x 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 1 into 1 9.915 * [taylor]: Taking taylor expansion of (* -11/128 (pow x 4)) in x 9.915 * [taylor]: Taking taylor expansion of -11/128 in x 9.915 * [backup-simplify]: Simplify -11/128 into -11/128 9.915 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.915 * [taylor]: Taking taylor expansion of x in x 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 1 into 1 9.915 * [backup-simplify]: Simplify (* 1 1) into 1 9.916 * [backup-simplify]: Simplify (* 1 1) into 1 9.916 * [backup-simplify]: Simplify (* -11/128 1) into -11/128 9.916 * [backup-simplify]: Simplify -11/128 into -11/128 9.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.925 * [backup-simplify]: Simplify (+ (* -11/128 0) (* 0 1)) into 0 9.925 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.928 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (* 0 1))) into 0 9.928 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.931 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.936 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.936 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.940 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.940 * [backup-simplify]: Simplify 0 into 0 9.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.946 * [backup-simplify]: Simplify (+ (* -11/128 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.946 * [backup-simplify]: Simplify 0 into 0 9.946 * [backup-simplify]: Simplify (* -11/128 (pow x 4)) into (* -11/128 (pow x 4)) 9.946 * [backup-simplify]: Simplify (* (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) -11/128) into (/ -11/128 (pow x 4)) 9.946 * [approximate]: Taking taylor expansion of (/ -11/128 (pow x 4)) in (x) around 0 9.946 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.946 * [taylor]: Taking taylor expansion of -11/128 in x 9.946 * [backup-simplify]: Simplify -11/128 into -11/128 9.946 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.946 * [taylor]: Taking taylor expansion of x in x 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 1 into 1 9.947 * [backup-simplify]: Simplify (* 1 1) into 1 9.947 * [backup-simplify]: Simplify (* 1 1) into 1 9.948 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.948 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.948 * [taylor]: Taking taylor expansion of -11/128 in x 9.948 * [backup-simplify]: Simplify -11/128 into -11/128 9.948 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.948 * [taylor]: Taking taylor expansion of x in x 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 1 into 1 9.948 * [backup-simplify]: Simplify (* 1 1) into 1 9.949 * [backup-simplify]: Simplify (* 1 1) into 1 9.949 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.949 * [backup-simplify]: Simplify -11/128 into -11/128 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.952 * [backup-simplify]: Simplify 0 into 0 9.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.955 * [backup-simplify]: Simplify 0 into 0 9.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.958 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.962 * [backup-simplify]: Simplify 0 into 0 9.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.967 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify (* -11/128 (pow (/ 1 (/ 1 x)) 4)) into (* -11/128 (pow x 4)) 9.970 * [backup-simplify]: Simplify (* (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) -11/128) into (/ -11/128 (pow x 4)) 9.970 * [approximate]: Taking taylor expansion of (/ -11/128 (pow x 4)) in (x) around 0 9.970 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.970 * [taylor]: Taking taylor expansion of -11/128 in x 9.970 * [backup-simplify]: Simplify -11/128 into -11/128 9.970 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.970 * [taylor]: Taking taylor expansion of x in x 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.971 * [backup-simplify]: Simplify (* 1 1) into 1 9.971 * [backup-simplify]: Simplify (* 1 1) into 1 9.971 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.971 * [taylor]: Taking taylor expansion of (/ -11/128 (pow x 4)) in x 9.971 * [taylor]: Taking taylor expansion of -11/128 in x 9.971 * [backup-simplify]: Simplify -11/128 into -11/128 9.971 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.971 * [taylor]: Taking taylor expansion of x in x 9.971 * [backup-simplify]: Simplify 0 into 0 9.971 * [backup-simplify]: Simplify 1 into 1 9.971 * [backup-simplify]: Simplify (* 1 1) into 1 9.972 * [backup-simplify]: Simplify (* 1 1) into 1 9.972 * [backup-simplify]: Simplify (/ -11/128 1) into -11/128 9.972 * [backup-simplify]: Simplify -11/128 into -11/128 9.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)))) into 0 9.973 * [backup-simplify]: Simplify 0 into 0 9.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.975 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.977 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.979 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.981 * [backup-simplify]: Simplify 0 into 0 9.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -11/128 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify (* -11/128 (pow (/ 1 (/ 1 (- x))) 4)) into (* -11/128 (pow x 4)) 9.984 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 3 1) 9.984 * [backup-simplify]: Simplify (* (* x x) (* x x)) into (pow x 4) 9.984 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 9.984 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.984 * [taylor]: Taking taylor expansion of x in x 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 1 into 1 9.984 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.984 * [taylor]: Taking taylor expansion of x in x 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 1 into 1 9.984 * [backup-simplify]: Simplify (* 1 1) into 1 9.985 * [backup-simplify]: Simplify (* 1 1) into 1 9.985 * [backup-simplify]: Simplify 1 into 1 9.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.988 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.989 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.991 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify (* 1 (pow x 4)) into (pow x 4) 9.993 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 4)) 9.993 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 9.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.993 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.993 * [taylor]: Taking taylor expansion of x in x 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify 1 into 1 9.993 * [backup-simplify]: Simplify (* 1 1) into 1 9.994 * [backup-simplify]: Simplify (* 1 1) into 1 9.994 * [backup-simplify]: Simplify (/ 1 1) into 1 9.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 9.994 * [taylor]: Taking taylor expansion of (pow x 4) in x 9.994 * [taylor]: Taking taylor expansion of x in x 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 1 into 1 9.994 * [backup-simplify]: Simplify (* 1 1) into 1 9.994 * [backup-simplify]: Simplify (* 1 1) into 1 9.995 * [backup-simplify]: Simplify (/ 1 1) into 1 9.995 * [backup-simplify]: Simplify 1 into 1 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.996 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.002 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.006 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.010 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 4)) into (pow x 4) 10.011 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 1 (pow x 4)) 10.011 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 10.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 10.011 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.011 * [taylor]: Taking taylor expansion of x in x 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 1 into 1 10.011 * [backup-simplify]: Simplify (* 1 1) into 1 10.012 * [backup-simplify]: Simplify (* 1 1) into 1 10.012 * [backup-simplify]: Simplify (/ 1 1) into 1 10.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 10.012 * [taylor]: Taking taylor expansion of (pow x 4) in x 10.012 * [taylor]: Taking taylor expansion of x in x 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (* 1 1) into 1 10.013 * [backup-simplify]: Simplify (* 1 1) into 1 10.013 * [backup-simplify]: Simplify (/ 1 1) into 1 10.014 * [backup-simplify]: Simplify 1 into 1 10.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.018 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.021 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.025 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.029 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 (- x))) 4)) into (pow x 4) 10.031 * * * [progress]: simplifying candidates 10.031 * * * * [progress]: [ 1 / 131 ] simplifiying candidate # 10.031 * * * * [progress]: [ 2 / 131 ] simplifiying candidate # 10.031 * * * * [progress]: [ 3 / 131 ] simplifiying candidate # 10.031 * * * * [progress]: [ 4 / 131 ] simplifiying candidate # 10.031 * * * * [progress]: [ 5 / 131 ] simplifiying candidate # 10.031 * * * * [progress]: [ 6 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 7 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 8 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 9 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 10 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 11 / 131 ] simplifiying candidate #real (real->posit16 (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))))))> 10.032 * * * * [progress]: [ 12 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 13 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 14 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 15 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 16 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 17 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 18 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 19 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 20 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 21 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 22 / 131 ] simplifiying candidate #real (real->posit16 (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))))))> 10.032 * * * * [progress]: [ 23 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 24 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 25 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 26 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 27 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 28 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 29 / 131 ] simplifiying candidate # 10.032 * * * * [progress]: [ 30 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 31 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 32 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 33 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 34 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 35 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 36 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 37 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 38 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 39 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 40 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 41 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 42 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 43 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 44 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 45 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 46 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 47 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 48 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 49 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 50 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 51 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 52 / 131 ] simplifiying candidate #real (real->posit16 (* (* (* x x) (* x x)) -11/128))))))> 10.033 * * * * [progress]: [ 53 / 131 ] simplifiying candidate # 10.033 * * * * [progress]: [ 54 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 55 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 56 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 57 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 58 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 59 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 60 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 61 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 62 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 63 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 64 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 65 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 66 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 67 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 68 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 69 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 70 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 71 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 72 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 73 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 74 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 75 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 76 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 77 / 131 ] simplifiying candidate # 10.034 * * * * [progress]: [ 78 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 79 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 80 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 81 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 82 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 83 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 84 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 85 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 86 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 87 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 88 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 89 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 90 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 91 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 92 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 93 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 94 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 95 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 96 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 97 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 98 / 131 ] simplifiying candidate # 10.035 * * * * [progress]: [ 99 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 100 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 101 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 102 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 103 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 104 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 105 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 106 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 107 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 108 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 109 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 110 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 111 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 112 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 113 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 114 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 115 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 116 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 117 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 118 / 131 ] simplifiying candidate #real (real->posit16 (* (* x x) (* x x)))) -11/128))))> 10.036 * * * * [progress]: [ 119 / 131 ] simplifiying candidate # 10.036 * * * * [progress]: [ 120 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 121 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 122 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 123 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 124 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 125 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 126 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 127 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 128 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 129 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 130 / 131 ] simplifiying candidate # 10.037 * * * * [progress]: [ 131 / 131 ] simplifiying candidate # 10.038 * [simplify]: Simplifying: (expm1 (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (log1p (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (* 69/1024 (* (* x x) (* (* x x) (* x x)))) (log (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (exp (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (* (cbrt (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (cbrt (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))))) (cbrt (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (* (* (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (sqrt (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (sqrt (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (real->posit16 (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (expm1 (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (log1p (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (* 1/8 (* x x)) (log (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (exp (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (* (cbrt (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (cbrt (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)))) (cbrt (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (* (* (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128)) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (sqrt (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (sqrt (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (real->posit16 (fma 1/8 (* x x) (* (* (* x x) (* x x)) -11/128))) (expm1 (* (* (* x x) (* x x)) -11/128)) (log1p (* (* (* x x) (* x x)) -11/128)) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (+ (+ (+ (log x) (log x)) (+ (log x) (log x))) (log -11/128)) (+ (+ (+ (log x) (log x)) (log (* x x))) (log -11/128)) (+ (+ (log (* x x)) (+ (log x) (log x))) (log -11/128)) (+ (+ (log (* x x)) (log (* x x))) (log -11/128)) (+ (log (* (* x x) (* x x))) (log -11/128)) (log (* (* (* x x) (* x x)) -11/128)) (exp (* (* (* x x) (* x x)) -11/128)) (* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* -11/128 -11/128) -11/128)) (* (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (* (* -11/128 -11/128) -11/128)) (* (cbrt (* (* (* x x) (* x x)) -11/128)) (cbrt (* (* (* x x) (* x x)) -11/128))) (cbrt (* (* (* x x) (* x x)) -11/128)) (* (* (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128)) (* (* (* x x) (* x x)) -11/128)) (sqrt (* (* (* x x) (* x x)) -11/128)) (sqrt (* (* (* x x) (* x x)) -11/128)) (* (* x x) (sqrt -11/128)) (* (* x x) (sqrt -11/128)) (* (* (* x x) (* x x)) (* (cbrt -11/128) (cbrt -11/128))) (* (* (* x x) (* x x)) (sqrt -11/128)) (* (* (* x x) (* x x)) 1) (* (* x x) -11/128) (real->posit16 (* (* (* x x) (* x x)) -11/128)) (expm1 (* (* x x) (* x x))) (log1p (* (* x x) (* x x))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (+ 1 1) (+ 1 1) (+ (+ (log x) (log x)) (+ (log x) (log x))) (+ (+ (log x) (log x)) (log (* x x))) (+ (log (* x x)) (+ (log x) (log x))) (+ (log (* x x)) (log (* x x))) (log (* (* x x) (* x x))) (exp (* (* x x) (* x x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (sqrt (* (* x x) (* x x))) (* x x) (* x x) (* x x) (* x x) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1)) (* (* x x) x) (* x (* x x)) (real->posit16 (* (* x x) (* x x))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))) (- (* 1/8 (pow x 2)) (* 11/128 (pow x 4))) (- (* 1/8 (pow x 2)) (* 11/128 (pow x 4))) (- (* 1/8 (pow x 2)) (* 11/128 (pow x 4))) (* -11/128 (pow x 4)) (* -11/128 (pow x 4)) (* -11/128 (pow x 4)) (pow x 4) (pow x 4) (pow x 4) 10.040 * * [simplify]: iteration 1: (117 enodes) 10.093 * * [simplify]: iteration 2: (462 enodes) 10.264 * * [simplify]: iteration 3: (925 enodes) 10.890 * * [simplify]: Extracting #0: cost 50 inf + 0 10.892 * * [simplify]: Extracting #1: cost 296 inf + 2 10.897 * * [simplify]: Extracting #2: cost 623 inf + 6300 10.913 * * [simplify]: Extracting #3: cost 277 inf + 96075 10.959 * * [simplify]: Extracting #4: cost 20 inf + 147237 11.006 * * [simplify]: Extracting #5: cost 0 inf + 147744 11.045 * * [simplify]: Extracting #6: cost 0 inf + 147704 11.111 * [simplify]: Simplified to: (expm1 (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (log1p (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (* (* 69/1024 (* x (* x x))) (* x (* x x))) (log (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (exp (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (* (cbrt (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (cbrt (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128))))) (cbrt (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (* (* (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128))) (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (sqrt (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (sqrt (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (real->posit16 (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128)))) (expm1 (* (* x x) (- 1/8 (* (* x x) 11/128)))) (log1p (* (* x x) (- 1/8 (* (* x x) 11/128)))) (* (* x x) 1/8) (log (* (* x x) (- 1/8 (* (* x x) 11/128)))) (exp (* (* x x) (- 1/8 (* (* x x) 11/128)))) (* (cbrt (* (* x x) (- 1/8 (* (* x x) 11/128)))) (cbrt (* (* x x) (- 1/8 (* (* x x) 11/128))))) (cbrt (* (* x x) (- 1/8 (* (* x x) 11/128)))) (* (* (* (* x x) (- 1/8 (* (* x x) 11/128))) (* (* x x) (- 1/8 (* (* x x) 11/128)))) (* (* x x) (- 1/8 (* (* x x) 11/128)))) (sqrt (* (* x x) (- 1/8 (* (* x x) 11/128)))) (sqrt (* (* x x) (- 1/8 (* (* x x) 11/128)))) (real->posit16 (* (* x x) (- 1/8 (* (* x x) 11/128)))) (expm1 (* (* (* x x) (* x x)) -11/128)) (log1p (* (* (* x x) (* x x)) -11/128)) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (log (* (* (* x x) (* x x)) -11/128)) (log (* (* (* x x) (* x x)) -11/128)) (log (* (* (* x x) (* x x)) -11/128)) (log (* (* (* x x) (* x x)) -11/128)) (log (* (* (* x x) (* x x)) -11/128)) (log (* (* (* x x) (* x x)) -11/128)) (exp (* (* (* x x) (* x x)) -11/128)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -1331/2097152)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -1331/2097152)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -1331/2097152)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -1331/2097152)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -1331/2097152)) (* (cbrt (* (* (* x x) (* x x)) -11/128)) (cbrt (* (* (* x x) (* x x)) -11/128))) (cbrt (* (* (* x x) (* x x)) -11/128)) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -1331/2097152)) (sqrt (* (* (* x x) (* x x)) -11/128)) (sqrt (* (* (* x x) (* x x)) -11/128)) (* (* x (sqrt -11/128)) x) (* (* x (sqrt -11/128)) x) (* (* (* x x) (cbrt -11/128)) (* (* x x) (cbrt -11/128))) (* (* (* x x) (* x x)) (sqrt -11/128)) (* (* x x) (* x x)) (* x (* -11/128 x)) (real->posit16 (* (* (* x x) (* x x)) -11/128)) (expm1 (* (* x x) (* x x))) (log1p (* (* x x) (* x x))) 4 4 4 4 2 2 4 4 4 4 4 4 4 4 2 2 4 4 4 4 (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) 2 2 (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (* 4 (log x)) (exp (* (* x x) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* (* x x) (* x x))) (cbrt (* (* x x) (* x x)))) (cbrt (* (* x x) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (fabs (* x x)) (fabs (* x x)) (* x x) (* x x) (* x x) (* x x) 4 4 2 2 4 4 4 2 2 4 (* x (* x x)) (* x (* x x)) (real->posit16 (* (* x x) (* x x))) (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128))) (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128))) (fma (* x x) 1/8 (* (* (* x x) (* x x)) (- (* 69/1024 (* x x)) 11/128))) (* (* x x) (- 1/8 (* (* x x) 11/128))) (* (* x x) (- 1/8 (* (* x x) 11/128))) (* (* x x) (- 1/8 (* (* x x) 11/128))) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* (* x x) (* x x)) -11/128) (* (* x x) (* x x)) (* (* x x) (* x x)) (* (* x x) (* x x)) 11.124 * * * [progress]: adding candidates to table 12.766 * [progress]: [Phase 3 of 3] Extracting. 12.766 * * [regime]: Finding splitpoints for: (# # #) 12.767 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 12.767 * * * * [regimes]: Trying to branch on x from (# # #) 12.806 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # #) 12.841 * * * [regime]: Found split indices: #