0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.104 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.108 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.109 * [simplify]: Simplifying (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))) 0.109 * * [simplify]: iteration 1: (9 enodes) 0.115 * * [simplify]: iteration 2: (39 enodes) 0.128 * * [simplify]: iteration 3: (53 enodes) 0.163 * * [simplify]: iteration 4: (55 enodes) 0.178 * * [simplify]: Extracting #0: cost 1 inf + 0 0.179 * * [simplify]: Extracting #1: cost 5 inf + 0 0.179 * * [simplify]: Extracting #2: cost 7 inf + 1 0.179 * * [simplify]: Extracting #3: cost 12 inf + 1 0.179 * * [simplify]: Extracting #4: cost 15 inf + 2 0.179 * * [simplify]: Extracting #5: cost 17 inf + 2 0.179 * * [simplify]: Extracting #6: cost 15 inf + 60 0.179 * * [simplify]: Extracting #7: cost 6 inf + 1143 0.180 * * [simplify]: Extracting #8: cost 0 inf + 2360 0.181 * * [simplify]: Extracting #9: cost 0 inf + 2285 0.182 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 0.193 * * [progress]: iteration 1 / 4 0.193 * * * [progress]: picking best candidate 0.195 * * * * [pick]: Picked # 0.195 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.253 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.262 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.276 * * * [progress]: generating series expansions 0.276 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.276 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) 0.276 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.276 * [taylor]: Taking taylor expansion of 1 in x 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.276 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of 1/2 in x 0.277 * [backup-simplify]: Simplify 1/2 into 1/2 0.277 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.277 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.277 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.277 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.277 * [taylor]: Taking taylor expansion of 1 in x 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of 1 in x 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (* x x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (* 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [backup-simplify]: Simplify (sqrt 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of 1/2 in x 0.282 * [backup-simplify]: Simplify 1/2 into 1/2 0.282 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.283 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.283 * [backup-simplify]: Simplify (sqrt 1) into 1 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.286 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.286 * [taylor]: Taking taylor expansion of 1 in x 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.286 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of 1/2 in x 0.286 * [backup-simplify]: Simplify 1/2 into 1/2 0.286 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.286 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.286 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.286 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.286 * [taylor]: Taking taylor expansion of 1 in x 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of 1 in x 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of (* x x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (* 0 0) into 0 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.292 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.293 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.296 * [backup-simplify]: Simplify (- 1) into -1 0.296 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.299 * [backup-simplify]: Simplify (+ 0 1) into 1 0.300 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.302 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.303 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.304 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.304 * [backup-simplify]: Simplify (- -1/8) into 1/8 0.305 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 0.305 * [backup-simplify]: Simplify 1/8 into 1/8 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.321 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.321 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.322 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.322 * [backup-simplify]: Simplify (- 11/128) into -11/128 0.322 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128 0.322 * [backup-simplify]: Simplify -11/128 into -11/128 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16 0.336 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 0.336 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32 0.337 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024 0.337 * [backup-simplify]: Simplify (- -69/1024) into 69/1024 0.338 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024 0.338 * [backup-simplify]: Simplify 69/1024 into 69/1024 0.338 * [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))) 0.338 * [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))) 0.338 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.338 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.338 * [taylor]: Taking taylor expansion of 1/2 in x 0.338 * [backup-simplify]: Simplify 1/2 into 1/2 0.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.338 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of 1 in x 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (+ 0 1) into 1 0.340 * [backup-simplify]: Simplify (sqrt 1) into 1 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [taylor]: Taking taylor expansion of 1/2 in x 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.342 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.343 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.343 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.348 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.348 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.348 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.348 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.348 * [taylor]: Taking taylor expansion of 1/2 in x 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.348 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.348 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.349 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of 1 in x 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ 0 1) into 1 0.351 * [backup-simplify]: Simplify (sqrt 1) into 1 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.354 * [backup-simplify]: Simplify 1/2 into 1/2 0.355 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.355 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.355 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.356 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.357 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.358 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 0.360 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.360 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.362 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.365 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.367 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.372 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.374 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.376 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.379 * [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))) 0.379 * [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))) 0.379 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.379 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.379 * [taylor]: Taking taylor expansion of 1 in x 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.379 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [backup-simplify]: Simplify 1/2 into 1/2 0.379 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.379 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.379 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.379 * [taylor]: Taking taylor expansion of 1 in x 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [taylor]: Taking taylor expansion of 1 in x 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [backup-simplify]: Simplify -1 into -1 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [backup-simplify]: Simplify (* -1 -1) into 1 0.381 * [backup-simplify]: Simplify (+ 0 1) into 1 0.381 * [backup-simplify]: Simplify (sqrt 1) into 1 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of 1/2 in x 0.384 * [backup-simplify]: Simplify 1/2 into 1/2 0.384 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.384 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.384 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.385 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.386 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.386 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.386 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.386 * [taylor]: Taking taylor expansion of 1/2 in x 0.386 * [backup-simplify]: Simplify 1/2 into 1/2 0.386 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.386 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [backup-simplify]: Simplify -1 into -1 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (/ -1 1) into -1 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [backup-simplify]: Simplify -1 into -1 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (/ -1 1) into -1 0.387 * [backup-simplify]: Simplify (* -1 -1) into 1 0.387 * [backup-simplify]: Simplify (+ 0 1) into 1 0.387 * [backup-simplify]: Simplify (sqrt 1) into 1 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of 1/2 in x 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.390 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.391 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.391 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.392 * [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)) 0.393 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2)) 0.394 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2)) 0.395 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.397 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.398 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2)))) 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.404 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.407 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) 0.410 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3)) 0.415 * [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)) 0.415 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.415 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 0.415 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 0.415 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of 1/2 in x 0.415 * [backup-simplify]: Simplify 1/2 into 1/2 0.415 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.415 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.415 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of 1 in x 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (* x x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (* 0 0) into 0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify (sqrt 1) into 1 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.420 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of 1/2 in x 0.420 * [backup-simplify]: Simplify 1/2 into 1/2 0.420 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.420 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.420 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.421 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 1 in x 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (* x x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (* 0 0) into 0 0.422 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.426 * [backup-simplify]: Simplify 1/2 into 1/2 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.430 * [backup-simplify]: Simplify (+ 0 1) into 1 0.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.432 * [backup-simplify]: Simplify -1/4 into -1/4 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.444 * [backup-simplify]: Simplify 3/16 into 3/16 0.444 * [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))) 0.444 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 0.444 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.444 * [taylor]: Taking taylor expansion of 1/2 in x 0.444 * [backup-simplify]: Simplify 1/2 into 1/2 0.444 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.445 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.445 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.451 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of 1/2 in x 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.451 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.453 * [backup-simplify]: Simplify (+ 0 1) into 1 0.454 * [backup-simplify]: Simplify (sqrt 1) into 1 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.458 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.458 * [backup-simplify]: Simplify 1/2 into 1/2 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.470 * [backup-simplify]: Simplify -1/4 into -1/4 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.480 * [backup-simplify]: Simplify 3/16 into 3/16 0.480 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/4 (pow (/ 1 x) 3)) (* 1/2 (/ 1 x)))) into (- (+ (* 3/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))) (* 1/4 (/ 1 (pow x 3)))) 0.480 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 0.480 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.480 * [taylor]: Taking taylor expansion of 1/2 in x 0.480 * [backup-simplify]: Simplify 1/2 into 1/2 0.480 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.480 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.482 * [backup-simplify]: Simplify (* -1 -1) into 1 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.485 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 0.485 * [taylor]: Taking taylor expansion of 1/2 in x 0.485 * [backup-simplify]: Simplify 1/2 into 1/2 0.485 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.485 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.485 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of 1 in x 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [backup-simplify]: Simplify -1 into -1 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ -1 1) into -1 0.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [backup-simplify]: Simplify -1 into -1 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (/ -1 1) into -1 0.486 * [backup-simplify]: Simplify (* -1 -1) into 1 0.486 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.489 * [backup-simplify]: Simplify 1/2 into 1/2 0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 0.493 * [backup-simplify]: Simplify -1/4 into -1/4 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 0.501 * [backup-simplify]: Simplify 3/16 into 3/16 0.502 * [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)))) 0.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.502 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 0.502 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.502 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of 1/2 in x 0.502 * [backup-simplify]: Simplify 1/2 into 1/2 0.502 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.502 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.502 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.502 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.502 * [taylor]: Taking taylor expansion of 1 in x 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of 1 in x 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of (* x x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (* 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (sqrt 1) into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of 1/2 in x 0.507 * [backup-simplify]: Simplify 1/2 into 1/2 0.507 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.508 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.508 * [backup-simplify]: Simplify (sqrt 1) into 1 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.511 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.511 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of 1/2 in x 0.511 * [backup-simplify]: Simplify 1/2 into 1/2 0.511 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.511 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.511 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.511 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.511 * [taylor]: Taking taylor expansion of 1 in x 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of 1 in x 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of (* x x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (* 0 0) into 0 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.513 * [backup-simplify]: Simplify (sqrt 1) into 1 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of 1/2 in x 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.516 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.517 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.517 * [backup-simplify]: Simplify (sqrt 1) into 1 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.520 * [backup-simplify]: Simplify (+ 0 1) into 1 0.520 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.522 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.522 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.523 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 0.523 * [backup-simplify]: Simplify -1/8 into -1/8 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.532 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.532 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.533 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 0.533 * [backup-simplify]: Simplify 11/128 into 11/128 0.533 * [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))) 0.533 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 0.533 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.533 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of 1/2 in x 0.533 * [backup-simplify]: Simplify 1/2 into 1/2 0.533 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.533 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.533 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.533 * [taylor]: Taking taylor expansion of 1 in x 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of 1 in x 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (+ 0 1) into 1 0.535 * [backup-simplify]: Simplify (sqrt 1) into 1 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [taylor]: Taking taylor expansion of 1/2 in x 0.537 * [backup-simplify]: Simplify 1/2 into 1/2 0.537 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.538 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.538 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.539 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.539 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of 1/2 in x 0.539 * [backup-simplify]: Simplify 1/2 into 1/2 0.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.539 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.539 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.539 * [taylor]: Taking taylor expansion of 1 in x 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of 1 in x 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (+ 0 1) into 1 0.541 * [backup-simplify]: Simplify (sqrt 1) into 1 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of 1/2 in x 0.543 * [backup-simplify]: Simplify 1/2 into 1/2 0.543 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.543 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.544 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.544 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.545 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.545 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.546 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.551 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.553 * [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))))) 0.553 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 0.553 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.553 * [taylor]: Taking taylor expansion of 1/2 in x 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.553 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.553 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.553 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.553 * [taylor]: Taking taylor expansion of 1 in x 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of 1 in x 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.553 * [taylor]: Taking taylor expansion of -1 in x 0.553 * [backup-simplify]: Simplify -1 into -1 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ -1 1) into -1 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [backup-simplify]: Simplify -1 into -1 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ -1 1) into -1 0.554 * [backup-simplify]: Simplify (* -1 -1) into 1 0.555 * [backup-simplify]: Simplify (+ 0 1) into 1 0.555 * [backup-simplify]: Simplify (sqrt 1) into 1 0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [taylor]: Taking taylor expansion of 1/2 in x 0.558 * [backup-simplify]: Simplify 1/2 into 1/2 0.558 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.558 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.558 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.563 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.564 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of 1/2 in x 0.565 * [backup-simplify]: Simplify 1/2 into 1/2 0.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.565 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.565 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.565 * [taylor]: Taking taylor expansion of 1 in x 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [taylor]: Taking taylor expansion of 1 in x 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [backup-simplify]: Simplify -1 into -1 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ -1 1) into -1 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [backup-simplify]: Simplify -1 into -1 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ -1 1) into -1 0.566 * [backup-simplify]: Simplify (* -1 -1) into 1 0.566 * [backup-simplify]: Simplify (+ 0 1) into 1 0.566 * [backup-simplify]: Simplify (sqrt 1) into 1 0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.569 * [backup-simplify]: Simplify (/ 1 1) into 1 0.569 * [taylor]: Taking taylor expansion of 1/2 in x 0.569 * [backup-simplify]: Simplify 1/2 into 1/2 0.569 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.569 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.570 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.570 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.572 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 0.572 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.573 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2)) 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.583 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3)) 0.586 * [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)))))) 0.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.586 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 0.586 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of 1/2 in x 0.586 * [backup-simplify]: Simplify 1/2 into 1/2 0.586 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.586 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.586 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.586 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.587 * [taylor]: Taking taylor expansion of 1 in x 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of 1 in x 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (* x x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (* 0 0) into 0 0.587 * [backup-simplify]: Simplify (+ 1 0) into 1 0.588 * [backup-simplify]: Simplify (sqrt 1) into 1 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [taylor]: Taking taylor expansion of 1/2 in x 0.589 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of 1/2 in x 0.589 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 0.590 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 0.590 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.590 * [taylor]: Taking taylor expansion of 1 in x 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of 1 in x 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of (* x x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (* 0 0) into 0 0.590 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [backup-simplify]: Simplify (sqrt 1) into 1 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of 1/2 in x 0.592 * [backup-simplify]: Simplify 1/2 into 1/2 0.593 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.593 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.595 * [backup-simplify]: Simplify (+ 0 1) into 1 0.596 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.597 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.597 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.597 * [backup-simplify]: Simplify -1/4 into -1/4 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 0.606 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 0.606 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 0.606 * [backup-simplify]: Simplify 3/16 into 3/16 0.606 * [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))) 0.606 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 0.606 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0 0.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.606 * [taylor]: Taking taylor expansion of 1/2 in x 0.606 * [backup-simplify]: Simplify 1/2 into 1/2 0.606 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.606 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.606 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.607 * [taylor]: Taking taylor expansion of 1 in x 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of 1 in x 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (+ 0 1) into 1 0.608 * [backup-simplify]: Simplify (sqrt 1) into 1 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [backup-simplify]: Simplify 1/2 into 1/2 0.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [backup-simplify]: Simplify 1/2 into 1/2 0.610 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.610 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 0.610 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.610 * [taylor]: Taking taylor expansion of 1 in x 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of 1 in x 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (/ 1 1) into 1 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (/ 1 1) into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.611 * [backup-simplify]: Simplify (+ 0 1) into 1 0.612 * [backup-simplify]: Simplify (sqrt 1) into 1 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [taylor]: Taking taylor expansion of 1/2 in x 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.615 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.616 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.616 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.616 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.622 * [backup-simplify]: Simplify (+ 1 0) into 1 0.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 0.625 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 0.625 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 0.626 * [backup-simplify]: Simplify -1/4 into -1/4 0.626 * [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)))) 0.626 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 0.626 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of 1/2 in x 0.626 * [backup-simplify]: Simplify 1/2 into 1/2 0.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.626 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.626 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.626 * [taylor]: Taking taylor expansion of 1 in x 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of 1 in x 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [backup-simplify]: Simplify -1 into -1 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ -1 1) into -1 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [backup-simplify]: Simplify -1 into -1 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ -1 1) into -1 0.628 * [backup-simplify]: Simplify (* -1 -1) into 1 0.629 * [backup-simplify]: Simplify (+ 0 1) into 1 0.629 * [backup-simplify]: Simplify (sqrt 1) into 1 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [taylor]: Taking taylor expansion of 1/2 in x 0.633 * [backup-simplify]: Simplify 1/2 into 1/2 0.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.633 * [taylor]: Taking taylor expansion of 1/2 in x 0.633 * [backup-simplify]: Simplify 1/2 into 1/2 0.633 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.633 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.633 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 0.633 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 0.633 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.633 * [taylor]: Taking taylor expansion of 1 in x 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [taylor]: Taking taylor expansion of 1 in x 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.634 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [backup-simplify]: Simplify -1 into -1 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (/ -1 1) into -1 0.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.634 * [taylor]: Taking taylor expansion of -1 in x 0.634 * [backup-simplify]: Simplify -1 into -1 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (/ -1 1) into -1 0.635 * [backup-simplify]: Simplify (* -1 -1) into 1 0.636 * [backup-simplify]: Simplify (+ 0 1) into 1 0.636 * [backup-simplify]: Simplify (sqrt 1) into 1 0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [taylor]: Taking taylor expansion of 1/2 in x 0.640 * [backup-simplify]: Simplify 1/2 into 1/2 0.641 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.641 * [backup-simplify]: Simplify 1/2 into 1/2 0.641 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.641 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.641 * [backup-simplify]: Simplify 1/2 into 1/2 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (* 1 1) into 1 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.645 * [backup-simplify]: Simplify (+ 1 0) 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 0.647 * [backup-simplify]: Simplify -1/4 into -1/4 0.647 * [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))) 0.647 * * * [progress]: simplifying candidates 0.647 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 0.647 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 0.647 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 0.647 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 16 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 0.648 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 46 / 137 ] simplifiying candidate #real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.649 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 0.649 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 0.650 * * * * [progress]: [ 76 / 137 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2))))> 0.650 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 97 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.651 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 0.651 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 124 / 137 ] simplifiying candidate #real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))> 0.652 * * * * [progress]: [ 125 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 0.652 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 0.653 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 0.654 * [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 (- (* (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 (- (* (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)) 1))), (fma (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)), (expm1 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (log1p (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (/ (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (log (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (* (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))), (cbrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (* (* (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (- (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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (- 1 (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))), (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (expm1 (/ 1/2 (hypot 1 x))), (log1p (/ 1/2 (hypot 1 x))), (- (log 1/2) (log (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))), (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))), (cbrt (/ 1/2 (hypot 1 x))), (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (- 1/2), (- (hypot 1 x)), (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (cbrt 1/2) (cbrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) 1), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) 1), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1 1), (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1/2 1), (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (sqrt (+ (/ 1/2 (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))), (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)), (- (+ (* 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)))), (- (+ (* 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)))))), (- (+ (* 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))) 0.657 * * [simplify]: iteration 1: (213 enodes) 0.796 * * [simplify]: iteration 2: (860 enodes) 1.093 * * [simplify]: iteration 3: (1685 enodes) 1.742 * * [simplify]: Extracting #0: cost 95 inf + 0 1.743 * * [simplify]: Extracting #1: cost 494 inf + 44 1.756 * * [simplify]: Extracting #2: cost 904 inf + 8347 1.784 * * [simplify]: Extracting #3: cost 616 inf + 58470 1.841 * * [simplify]: Extracting #4: cost 316 inf + 127439 1.924 * * [simplify]: Extracting #5: cost 37 inf + 223052 1.993 * * [simplify]: Extracting #6: cost 0 inf + 237609 2.061 * * [simplify]: Extracting #7: cost 0 inf + 237494 2.135 * [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))))))), (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (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))))))), (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (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))))))), (* (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (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))), (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)), (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))), (cbrt (/ 1/2 (hypot 1 x))), (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), -1/2, (- (hypot 1 x)), (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))), (/ (cbrt 1/2) (cbrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (* (cbrt 1/2) (cbrt 1/2)), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (sqrt 1/2), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), 1, (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), 1/2, (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (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))))), (expm1 (+ 1/2 (/ 1/2 (hypot 1 x)))), (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))), (exp (+ 1/2 (/ 1/2 (hypot 1 x)))), (log (+ 1/2 (/ 1/2 (hypot 1 x)))), (exp (+ 1/2 (/ 1/2 (hypot 1 x)))), (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))), (* (+ 1/2 (/ 1/2 (hypot 1 x))) (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x))))), (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))), (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))), (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)))), (fma (* (* x x) (* x x)) -11/128 (fma 1/8 (* x x) (* (* 69/1024 (* x x)) (* (* x x) (* x x))))), (+ (+ (/ 1/16 (* (* (sqrt 1/2) x) x)) 1) (- (/ -1/4 (* (sqrt 1/2) x)) (sqrt 1/2))), (+ (+ (- (/ (/ 1/4 (sqrt 1/2)) x) (sqrt 1/2)) 1) (/ 1/16 (* (* (sqrt 1/2) x) x))), (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 -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))), (+ (sqrt 1/2) (- (/ -1/4 (* (sqrt 1/2) x)) (/ 1/16 (* (* (sqrt 1/2) x) x)))), (fma -1/4 (* x x) (fma (* (* x x) (* x x)) 3/16 1)), (- (+ (/ 1/2 x) 1/2) (* (/ 1/2 x) (/ (/ 1/2 x) x))), (fma (/ (/ 1/2 x) x) (/ 1/2 x) (- 1/2 (/ 1/2 x))) 2.151 * * * [progress]: adding candidates to table 3.460 * * [progress]: iteration 2 / 4 3.460 * * * [progress]: picking best candidate 3.489 * * * * [pick]: Picked # 3.489 * * * [progress]: localizing error 3.524 * * * [progress]: generating rewritten candidates 3.524 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.531 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.559 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 3.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.569 * * * [progress]: generating series expansions 3.569 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.569 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) 3.569 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 3.569 * [taylor]: Taking taylor expansion of (- 1/2 (* 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 (* 1/2 (/ 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 3.570 * [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 3.571 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.572 * [backup-simplify]: Simplify (/ 1 1) into 1 3.572 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 3.572 * [taylor]: Taking taylor expansion of 1/2 in x 3.572 * [backup-simplify]: Simplify 1/2 into 1/2 3.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.572 * [taylor]: Taking taylor expansion of 1/2 in x 3.572 * [backup-simplify]: Simplify 1/2 into 1/2 3.572 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.572 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.572 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.572 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.572 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.572 * [taylor]: Taking taylor expansion of 1 in x 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of 1 in x 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of (* x x) in x 3.572 * [taylor]: Taking taylor expansion of x in x 3.572 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [taylor]: Taking taylor expansion of x in x 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (* 1 1) into 1 3.573 * [backup-simplify]: Simplify (* 0 0) into 0 3.573 * [backup-simplify]: Simplify (+ 1 0) into 1 3.574 * [backup-simplify]: Simplify (sqrt 1) into 1 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.574 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.575 * [backup-simplify]: Simplify (+ 0 0) into 0 3.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.580 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.580 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.581 * [backup-simplify]: Simplify (- 0) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.583 * [backup-simplify]: Simplify (+ 0 1) into 1 3.584 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.585 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.585 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.585 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.585 * [backup-simplify]: Simplify 1/4 into 1/4 3.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (- 0) into 0 3.590 * [backup-simplify]: Simplify (+ 0 0) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.592 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.594 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.594 * [backup-simplify]: Simplify (- 3/16) into -3/16 3.595 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16 3.595 * [backup-simplify]: Simplify -3/16 into -3/16 3.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0 3.601 * [backup-simplify]: Simplify (- 0) into 0 3.601 * [backup-simplify]: Simplify (+ 0 0) into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.603 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 3.605 * [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 3.607 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32 3.607 * [backup-simplify]: Simplify (- -5/32) into 5/32 3.607 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32 3.607 * [backup-simplify]: Simplify 5/32 into 5/32 3.607 * [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))) 3.608 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) 3.608 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.608 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 3.608 * [taylor]: Taking taylor expansion of 1/2 in x 3.608 * [backup-simplify]: Simplify 1/2 into 1/2 3.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.608 * [taylor]: Taking taylor expansion of 1/2 in x 3.608 * [backup-simplify]: Simplify 1/2 into 1/2 3.608 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.608 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.608 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.608 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.608 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.608 * [taylor]: Taking taylor expansion of 1 in x 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [taylor]: Taking taylor expansion of 1 in x 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.608 * [taylor]: Taking taylor expansion of x in x 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (/ 1 1) into 1 3.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.608 * [taylor]: Taking taylor expansion of x in x 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (/ 1 1) into 1 3.609 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (+ 0 1) into 1 3.609 * [backup-simplify]: Simplify (sqrt 1) into 1 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.611 * [backup-simplify]: Simplify (/ 1 1) into 1 3.612 * [taylor]: Taking taylor expansion of (- 1/2 (* 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 (* 1/2 (/ 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 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify (* 1 1) into 1 3.613 * [backup-simplify]: Simplify (+ 0 1) into 1 3.614 * [backup-simplify]: Simplify (sqrt 1) into 1 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.615 * [backup-simplify]: Simplify (+ 0 0) into 0 3.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.616 * [backup-simplify]: Simplify (/ 1 1) into 1 3.616 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.616 * [backup-simplify]: Simplify 1/2 into 1/2 3.616 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.617 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.617 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.617 * [backup-simplify]: Simplify -1/2 into -1/2 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.618 * [backup-simplify]: Simplify (- 0) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (* 1 1) into 1 3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.620 * [backup-simplify]: Simplify (+ 1 0) into 1 3.621 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.623 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.624 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.624 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.624 * [backup-simplify]: Simplify 1/4 into 1/4 3.624 * [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))) 3.625 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) 3.625 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 3.625 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.625 * [taylor]: Taking taylor expansion of 1/2 in x 3.625 * [backup-simplify]: Simplify 1/2 into 1/2 3.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.625 * [taylor]: Taking taylor expansion of 1/2 in x 3.625 * [backup-simplify]: Simplify 1/2 into 1/2 3.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.625 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.625 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.625 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.625 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.625 * [taylor]: Taking taylor expansion of 1 in x 3.625 * [backup-simplify]: Simplify 1 into 1 3.625 * [taylor]: Taking taylor expansion of 1 in x 3.625 * [backup-simplify]: Simplify 1 into 1 3.625 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.625 * [taylor]: Taking taylor expansion of -1 in x 3.625 * [backup-simplify]: Simplify -1 into -1 3.625 * [taylor]: Taking taylor expansion of x in x 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 1 into 1 3.626 * [backup-simplify]: Simplify (/ -1 1) into -1 3.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.626 * [taylor]: Taking taylor expansion of -1 in x 3.626 * [backup-simplify]: Simplify -1 into -1 3.626 * [taylor]: Taking taylor expansion of x in x 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [backup-simplify]: Simplify (/ -1 1) into -1 3.627 * [backup-simplify]: Simplify (* -1 -1) into 1 3.627 * [backup-simplify]: Simplify (+ 0 1) into 1 3.627 * [backup-simplify]: Simplify (sqrt 1) into 1 3.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.630 * [backup-simplify]: Simplify (+ 0 0) into 0 3.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.631 * [backup-simplify]: Simplify (/ 1 1) into 1 3.631 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 3.631 * [taylor]: Taking taylor expansion of 1/2 in x 3.631 * [backup-simplify]: Simplify 1/2 into 1/2 3.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.632 * [taylor]: Taking taylor expansion of 1/2 in x 3.632 * [backup-simplify]: Simplify 1/2 into 1/2 3.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.632 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.632 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.632 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.632 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.632 * [taylor]: Taking taylor expansion of 1 in x 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of 1 in x 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.632 * [taylor]: Taking taylor expansion of -1 in x 3.632 * [backup-simplify]: Simplify -1 into -1 3.632 * [taylor]: Taking taylor expansion of x in x 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (/ -1 1) into -1 3.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.632 * [taylor]: Taking taylor expansion of -1 in x 3.633 * [backup-simplify]: Simplify -1 into -1 3.633 * [taylor]: Taking taylor expansion of x in x 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (/ -1 1) into -1 3.633 * [backup-simplify]: Simplify (* -1 -1) into 1 3.633 * [backup-simplify]: Simplify (+ 0 1) into 1 3.634 * [backup-simplify]: Simplify (sqrt 1) into 1 3.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.636 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.636 * [backup-simplify]: Simplify 1/2 into 1/2 3.637 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.637 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.637 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.637 * [backup-simplify]: Simplify -1/2 into -1/2 3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.641 * [backup-simplify]: Simplify (+ 1 0) into 1 3.641 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.643 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.643 * [backup-simplify]: Simplify (- -1/4) into 1/4 3.643 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.643 * [backup-simplify]: Simplify 1/4 into 1/4 3.643 * [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)))) 3.643 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.643 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) 3.643 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0 3.644 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.644 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.644 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.644 * [taylor]: Taking taylor expansion of 1/2 in x 3.644 * [backup-simplify]: Simplify 1/2 into 1/2 3.644 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.644 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.644 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.644 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.644 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.644 * [taylor]: Taking taylor expansion of 1 in x 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [taylor]: Taking taylor expansion of 1 in x 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [taylor]: Taking taylor expansion of (* x x) in x 3.644 * [taylor]: Taking taylor expansion of x in x 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [taylor]: Taking taylor expansion of x in x 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (* 1 1) into 1 3.644 * [backup-simplify]: Simplify (* 0 0) into 0 3.645 * [backup-simplify]: Simplify (+ 1 0) into 1 3.645 * [backup-simplify]: Simplify (sqrt 1) into 1 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.646 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.646 * [backup-simplify]: Simplify (/ 1 1) into 1 3.647 * [taylor]: Taking taylor expansion of 1/2 in x 3.647 * [backup-simplify]: Simplify 1/2 into 1/2 3.647 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.647 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.647 * [backup-simplify]: Simplify (sqrt 1) into 1 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.649 * [backup-simplify]: Simplify (+ 0 0) into 0 3.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.649 * [taylor]: Taking taylor expansion of 1 in x 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.649 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.649 * [taylor]: Taking taylor expansion of 1/2 in x 3.649 * [backup-simplify]: Simplify 1/2 into 1/2 3.649 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.649 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.649 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.649 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.649 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.649 * [taylor]: Taking taylor expansion of 1 in x 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of 1 in x 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of (* x x) in x 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [taylor]: Taking taylor expansion of x in x 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (* 1 1) into 1 3.650 * [backup-simplify]: Simplify (* 0 0) into 0 3.650 * [backup-simplify]: Simplify (+ 1 0) into 1 3.650 * [backup-simplify]: Simplify (sqrt 1) into 1 3.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.651 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.652 * [backup-simplify]: Simplify (/ 1 1) into 1 3.652 * [taylor]: Taking taylor expansion of 1/2 in x 3.652 * [backup-simplify]: Simplify 1/2 into 1/2 3.652 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.653 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 3.653 * [backup-simplify]: Simplify (sqrt 1) into 1 3.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.654 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.654 * [taylor]: Taking taylor expansion of 1 in x 3.654 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (+ 1 1) into 2 3.655 * [backup-simplify]: Simplify 2 into 2 3.655 * [backup-simplify]: Simplify (+ 0 0) into 0 3.655 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.656 * [backup-simplify]: Simplify (+ 0 1) into 1 3.657 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 3.658 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 3.658 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 3.659 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8 3.659 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.659 * [backup-simplify]: Simplify -1/8 into -1/8 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.661 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (+ 0 0) into 0 3.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.671 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 3.675 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 3.675 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 3.682 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128 3.683 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128 3.683 * [backup-simplify]: Simplify 11/128 into 11/128 3.684 * [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))) 3.684 * [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) 3.684 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0 3.684 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.684 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.684 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.684 * [taylor]: Taking taylor expansion of 1/2 in x 3.684 * [backup-simplify]: Simplify 1/2 into 1/2 3.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.684 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.684 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.684 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.684 * [taylor]: Taking taylor expansion of 1 in x 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of 1 in x 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.684 * [taylor]: Taking taylor expansion of x in x 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.685 * [backup-simplify]: Simplify (/ 1 1) into 1 3.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.685 * [taylor]: Taking taylor expansion of x in x 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [backup-simplify]: Simplify (/ 1 1) into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.686 * [backup-simplify]: Simplify (+ 0 1) into 1 3.687 * [backup-simplify]: Simplify (sqrt 1) into 1 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.691 * [taylor]: Taking taylor expansion of 1/2 in x 3.691 * [backup-simplify]: Simplify 1/2 into 1/2 3.691 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.691 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.692 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.692 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.694 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.694 * [taylor]: Taking taylor expansion of 1 in x 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.694 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.694 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.694 * [taylor]: Taking taylor expansion of 1/2 in x 3.694 * [backup-simplify]: Simplify 1/2 into 1/2 3.694 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.694 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.694 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.694 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.694 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.694 * [taylor]: Taking taylor expansion of 1 in x 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [taylor]: Taking taylor expansion of 1 in x 3.694 * [backup-simplify]: Simplify 1 into 1 3.695 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (+ 0 1) into 1 3.697 * [backup-simplify]: Simplify (sqrt 1) into 1 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [taylor]: Taking taylor expansion of 1/2 in x 3.701 * [backup-simplify]: Simplify 1/2 into 1/2 3.701 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.702 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.702 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.703 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.704 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.704 * [taylor]: Taking taylor expansion of 1 in x 3.704 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.706 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.708 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.709 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.711 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.720 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.723 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.729 * [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))))) 3.729 * [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) 3.729 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0 3.729 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.729 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.729 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.729 * [taylor]: Taking taylor expansion of 1/2 in x 3.729 * [backup-simplify]: Simplify 1/2 into 1/2 3.729 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.729 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.729 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.729 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.729 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.729 * [taylor]: Taking taylor expansion of 1 in x 3.729 * [backup-simplify]: Simplify 1 into 1 3.729 * [taylor]: Taking taylor expansion of 1 in x 3.729 * [backup-simplify]: Simplify 1 into 1 3.729 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.729 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.730 * [taylor]: Taking taylor expansion of -1 in x 3.730 * [backup-simplify]: Simplify -1 into -1 3.730 * [taylor]: Taking taylor expansion of x in x 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (/ -1 1) into -1 3.730 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.730 * [taylor]: Taking taylor expansion of -1 in x 3.730 * [backup-simplify]: Simplify -1 into -1 3.730 * [taylor]: Taking taylor expansion of x in x 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.731 * [backup-simplify]: Simplify (/ -1 1) into -1 3.731 * [backup-simplify]: Simplify (* -1 -1) into 1 3.732 * [backup-simplify]: Simplify (+ 0 1) into 1 3.732 * [backup-simplify]: Simplify (sqrt 1) into 1 3.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.735 * [backup-simplify]: Simplify (+ 0 0) into 0 3.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.736 * [backup-simplify]: Simplify (/ 1 1) into 1 3.736 * [taylor]: Taking taylor expansion of 1/2 in x 3.736 * [backup-simplify]: Simplify 1/2 into 1/2 3.737 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.737 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.738 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.738 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.740 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 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 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.740 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.740 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (hypot 1 (/ -1 x))) in x 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 3.741 * [backup-simplify]: Simplify (/ -1 1) into -1 3.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.741 * [taylor]: Taking taylor expansion of -1 in x 3.741 * [backup-simplify]: Simplify -1 into -1 3.741 * [taylor]: Taking taylor expansion of x in x 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ -1 1) into -1 3.742 * [backup-simplify]: Simplify (* -1 -1) into 1 3.742 * [backup-simplify]: Simplify (+ 0 1) into 1 3.743 * [backup-simplify]: Simplify (sqrt 1) into 1 3.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.746 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [taylor]: Taking taylor expansion of 1/2 in x 3.747 * [backup-simplify]: Simplify 1/2 into 1/2 3.747 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.748 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.748 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.748 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.750 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.750 * [taylor]: Taking taylor expansion of 1 in x 3.750 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.752 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1) 3.754 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2))) 3.755 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2)) 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.757 * [backup-simplify]: Simplify (+ 0 0) into 0 3.763 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3)) 3.765 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.769 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) 3.775 * [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)))))) 3.775 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 3.775 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.775 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.775 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.775 * [taylor]: Taking taylor expansion of 1/2 in x 3.775 * [backup-simplify]: Simplify 1/2 into 1/2 3.775 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.775 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.775 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.775 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.775 * [taylor]: Taking taylor expansion of 1 in x 3.775 * [backup-simplify]: Simplify 1 into 1 3.776 * [taylor]: Taking taylor expansion of 1 in x 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [taylor]: Taking taylor expansion of (* x x) in x 3.776 * [taylor]: Taking taylor expansion of x in x 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [taylor]: Taking taylor expansion of x in x 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (* 1 1) into 1 3.776 * [backup-simplify]: Simplify (* 0 0) into 0 3.777 * [backup-simplify]: Simplify (+ 1 0) into 1 3.777 * [backup-simplify]: Simplify (sqrt 1) into 1 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.779 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.780 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.780 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.780 * [taylor]: Taking taylor expansion of 1/2 in x 3.780 * [backup-simplify]: Simplify 1/2 into 1/2 3.780 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.780 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.780 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.780 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.780 * [taylor]: Taking taylor expansion of 1 in x 3.780 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of 1 in x 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of (* x x) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (* 1 1) into 1 3.781 * [backup-simplify]: Simplify (* 0 0) into 0 3.782 * [backup-simplify]: Simplify (+ 1 0) into 1 3.782 * [backup-simplify]: Simplify (sqrt 1) into 1 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.784 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.785 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.785 * [backup-simplify]: Simplify 1/2 into 1/2 3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.788 * [backup-simplify]: Simplify (+ 0 1) into 1 3.789 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.790 * [backup-simplify]: Simplify -1/4 into -1/4 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.797 * [backup-simplify]: Simplify 3/16 into 3/16 3.797 * [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))) 3.797 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.797 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.797 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.797 * [taylor]: Taking taylor expansion of 1/2 in x 3.797 * [backup-simplify]: Simplify 1/2 into 1/2 3.797 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.797 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.797 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.797 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.797 * [taylor]: Taking taylor expansion of 1 in x 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [taylor]: Taking taylor expansion of 1 in x 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.798 * [taylor]: Taking taylor expansion of x in x 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (/ 1 1) into 1 3.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.798 * [taylor]: Taking taylor expansion of x in x 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (/ 1 1) into 1 3.798 * [backup-simplify]: Simplify (* 1 1) into 1 3.799 * [backup-simplify]: Simplify (+ 0 1) into 1 3.799 * [backup-simplify]: Simplify (sqrt 1) into 1 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.801 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.801 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.801 * [taylor]: Taking taylor expansion of 1/2 in x 3.801 * [backup-simplify]: Simplify 1/2 into 1/2 3.801 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.801 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.801 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.801 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.801 * [taylor]: Taking taylor expansion of 1 in x 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [taylor]: Taking taylor expansion of 1 in x 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.801 * [taylor]: Taking taylor expansion of x in x 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.802 * [taylor]: Taking taylor expansion of x in x 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.802 * [backup-simplify]: Simplify (* 1 1) into 1 3.802 * [backup-simplify]: Simplify (+ 0 1) into 1 3.803 * [backup-simplify]: Simplify (sqrt 1) into 1 3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.804 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.805 * [backup-simplify]: Simplify 1/2 into 1/2 3.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (* 1 1) into 1 3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.808 * [backup-simplify]: Simplify (+ 1 0) into 1 3.808 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.809 * [backup-simplify]: Simplify -1/4 into -1/4 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ 0 0) into 0 3.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.822 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.825 * [backup-simplify]: Simplify 3/16 into 3/16 3.826 * [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)))) 3.826 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.826 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.826 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.826 * [taylor]: Taking taylor expansion of 1/2 in x 3.826 * [backup-simplify]: Simplify 1/2 into 1/2 3.826 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.826 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.826 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.826 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.826 * [taylor]: Taking taylor expansion of 1 in x 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of 1 in x 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.826 * [taylor]: Taking taylor expansion of -1 in x 3.826 * [backup-simplify]: Simplify -1 into -1 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.827 * [backup-simplify]: Simplify (/ -1 1) into -1 3.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.827 * [taylor]: Taking taylor expansion of -1 in x 3.827 * [backup-simplify]: Simplify -1 into -1 3.827 * [taylor]: Taking taylor expansion of x in x 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.827 * [backup-simplify]: Simplify (/ -1 1) into -1 3.828 * [backup-simplify]: Simplify (* -1 -1) into 1 3.828 * [backup-simplify]: Simplify (+ 0 1) into 1 3.829 * [backup-simplify]: Simplify (sqrt 1) into 1 3.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.833 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.833 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.833 * [taylor]: Taking taylor expansion of 1/2 in x 3.833 * [backup-simplify]: Simplify 1/2 into 1/2 3.833 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.833 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.833 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.833 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.833 * [taylor]: Taking taylor expansion of 1 in x 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [taylor]: Taking taylor expansion of 1 in x 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.833 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.833 * [taylor]: Taking taylor expansion of -1 in x 3.833 * [backup-simplify]: Simplify -1 into -1 3.833 * [taylor]: Taking taylor expansion of x in x 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (/ -1 1) into -1 3.834 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.834 * [taylor]: Taking taylor expansion of -1 in x 3.834 * [backup-simplify]: Simplify -1 into -1 3.834 * [taylor]: Taking taylor expansion of x in x 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (/ -1 1) into -1 3.835 * [backup-simplify]: Simplify (* -1 -1) into 1 3.835 * [backup-simplify]: Simplify (+ 0 1) into 1 3.835 * [backup-simplify]: Simplify (sqrt 1) into 1 3.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.840 * [backup-simplify]: Simplify 1/2 into 1/2 3.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify (* 1 1) into 1 3.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.845 * [backup-simplify]: Simplify (+ 1 0) into 1 3.846 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.846 * [backup-simplify]: Simplify -1/4 into -1/4 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.856 * [backup-simplify]: Simplify 3/16 into 3/16 3.856 * [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)))) 3.856 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.856 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 x)) into (/ 1/2 (hypot 1 x)) 3.856 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in (x) around 0 3.856 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.856 * [taylor]: Taking taylor expansion of 1/2 in x 3.856 * [backup-simplify]: Simplify 1/2 into 1/2 3.856 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.856 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.856 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.856 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.856 * [taylor]: Taking taylor expansion of 1 in x 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [taylor]: Taking taylor expansion of 1 in x 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [taylor]: Taking taylor expansion of (* x x) in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [taylor]: Taking taylor expansion of x in x 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (* 1 1) into 1 3.857 * [backup-simplify]: Simplify (* 0 0) into 0 3.857 * [backup-simplify]: Simplify (+ 1 0) into 1 3.857 * [backup-simplify]: Simplify (sqrt 1) into 1 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.858 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.859 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 3.859 * [taylor]: Taking taylor expansion of 1/2 in x 3.859 * [backup-simplify]: Simplify 1/2 into 1/2 3.859 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 3.859 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 3.859 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.859 * [taylor]: Taking taylor expansion of 1 in x 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [taylor]: Taking taylor expansion of 1 in x 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [taylor]: Taking taylor expansion of (* x x) in x 3.859 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (* 1 1) into 1 3.860 * [backup-simplify]: Simplify (* 0 0) into 0 3.860 * [backup-simplify]: Simplify (+ 1 0) into 1 3.860 * [backup-simplify]: Simplify (sqrt 1) into 1 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.861 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.862 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.862 * [backup-simplify]: Simplify 1/2 into 1/2 3.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.864 * [backup-simplify]: Simplify (+ 0 1) into 1 3.865 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.865 * [backup-simplify]: Simplify -1/4 into -1/4 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.867 * [backup-simplify]: Simplify (+ 0 0) into 0 3.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.872 * [backup-simplify]: Simplify 3/16 into 3/16 3.872 * [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))) 3.872 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 x))) into (/ 1/2 (hypot 1 (/ 1 x))) 3.872 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in (x) around 0 3.872 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.872 * [taylor]: Taking taylor expansion of 1/2 in x 3.872 * [backup-simplify]: Simplify 1/2 into 1/2 3.872 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.872 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.872 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.872 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.872 * [taylor]: Taking taylor expansion of 1 in x 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [taylor]: Taking taylor expansion of 1 in x 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.872 * [taylor]: Taking taylor expansion of x in x 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.873 * [taylor]: Taking taylor expansion of x in x 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [backup-simplify]: Simplify (* 1 1) into 1 3.874 * [backup-simplify]: Simplify (+ 0 1) into 1 3.874 * [backup-simplify]: Simplify (sqrt 1) into 1 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.876 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 3.876 * [taylor]: Taking taylor expansion of 1/2 in x 3.876 * [backup-simplify]: Simplify 1/2 into 1/2 3.876 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.876 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 3.876 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 3.876 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.876 * [taylor]: Taking taylor expansion of 1 in x 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [taylor]: Taking taylor expansion of 1 in x 3.876 * [backup-simplify]: Simplify 1 into 1 3.876 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.877 * [taylor]: Taking taylor expansion of x in x 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (/ 1 1) into 1 3.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.877 * [taylor]: Taking taylor expansion of x in x 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 1 into 1 3.877 * [backup-simplify]: Simplify (/ 1 1) into 1 3.878 * [backup-simplify]: Simplify (* 1 1) into 1 3.878 * [backup-simplify]: Simplify (+ 0 1) into 1 3.878 * [backup-simplify]: Simplify (sqrt 1) into 1 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.882 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.882 * [backup-simplify]: Simplify 1/2 into 1/2 3.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (* 1 1) into 1 3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.884 * [backup-simplify]: Simplify (+ 1 0) into 1 3.885 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.886 * [backup-simplify]: Simplify -1/4 into -1/4 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.894 * [backup-simplify]: Simplify 3/16 into 3/16 3.894 * [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)))) 3.894 * [backup-simplify]: Simplify (/ 1/2 (hypot 1 (/ 1 (- x)))) into (/ 1/2 (hypot 1 (/ -1 x))) 3.894 * [approximate]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in (x) around 0 3.894 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.894 * [taylor]: Taking taylor expansion of 1/2 in x 3.894 * [backup-simplify]: Simplify 1/2 into 1/2 3.894 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.894 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.894 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.894 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.894 * [taylor]: Taking taylor expansion of 1 in x 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of 1 in x 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.894 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.894 * [taylor]: Taking taylor expansion of -1 in x 3.894 * [backup-simplify]: Simplify -1 into -1 3.894 * [taylor]: Taking taylor expansion of x in x 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (/ -1 1) into -1 3.895 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.895 * [taylor]: Taking taylor expansion of -1 in x 3.895 * [backup-simplify]: Simplify -1 into -1 3.895 * [taylor]: Taking taylor expansion of x in x 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (/ -1 1) into -1 3.895 * [backup-simplify]: Simplify (* -1 -1) into 1 3.896 * [backup-simplify]: Simplify (+ 0 1) into 1 3.896 * [backup-simplify]: Simplify (sqrt 1) into 1 3.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.898 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 3.898 * [taylor]: Taking taylor expansion of 1/2 in x 3.898 * [backup-simplify]: Simplify 1/2 into 1/2 3.898 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.898 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 3.898 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 3.898 * [taylor]: Taking taylor expansion of (* 1 1) in x 3.898 * [taylor]: Taking taylor expansion of 1 in x 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [taylor]: Taking taylor expansion of 1 in x 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.898 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.898 * [taylor]: Taking taylor expansion of -1 in x 3.898 * [backup-simplify]: Simplify -1 into -1 3.898 * [taylor]: Taking taylor expansion of x in x 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (/ -1 1) into -1 3.899 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.899 * [taylor]: Taking taylor expansion of -1 in x 3.899 * [backup-simplify]: Simplify -1 into -1 3.899 * [taylor]: Taking taylor expansion of x in x 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (/ -1 1) into -1 3.899 * [backup-simplify]: Simplify (* -1 -1) into 1 3.900 * [backup-simplify]: Simplify (+ 0 1) into 1 3.900 * [backup-simplify]: Simplify (sqrt 1) into 1 3.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.901 * [backup-simplify]: Simplify (+ 0 0) into 0 3.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.902 * [backup-simplify]: Simplify 1/2 into 1/2 3.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify (* 1 1) into 1 3.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.905 * [backup-simplify]: Simplify (+ 1 0) into 1 3.906 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 3.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 3.906 * [backup-simplify]: Simplify -1/4 into -1/4 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.909 * [backup-simplify]: Simplify (+ 0 0) into 0 3.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 3.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.913 * [backup-simplify]: Simplify (+ 0 0) into 0 3.914 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 3.920 * [backup-simplify]: Simplify 3/16 into 3/16 3.920 * [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)))) 3.920 * * * [progress]: simplifying candidates 3.920 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 3.920 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 3.921 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 3.922 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 29 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 30 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 31 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 32 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 33 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 34 / 152 ] simplifiying candidate # 3.923 * * * * [progress]: [ 35 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 36 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 37 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 38 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 39 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 40 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 41 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 42 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 3.924 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 60 / 152 ] simplifiying candidate #real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 3.925 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 3.925 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 67 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 3.926 * * * * [progress]: [ 79 / 152 ] simplifiying candidate #real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> 3.927 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 3.927 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 108 / 152 ] simplifiying candidate # 3.928 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 110 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x)))) 1/2)))))> 3.929 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 3.929 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 3.930 * * * * [progress]: [ 139 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 140 / 152 ] simplifiying candidate #real (real->posit16 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 3.931 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 3.931 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 3.935 * [simplify]: Simplifying (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))))), (fma (- (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (* (cbrt (/ 1/2 (hypot 1 x))) (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))))), (fma (- (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))) (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))), (fma (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))))), (fma (- (/ (cbrt 1/2) (sqrt (hypot 1 x)))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)))), (fma (- (/ (cbrt 1/2) (hypot 1 x))) (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (* (/ (cbrt 1/2) (hypot 1 x)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))), (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))), (fma (- (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))), (fma (- (/ (sqrt 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(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))), (log1p (/ 1/2 (hypot 1 x))), (- (log 1/2) (log (hypot 1 x))), (log (/ 1/2 (hypot 1 x))), (exp (/ 1/2 (hypot 1 x))), (/ (* (* 1/2 1/2) 1/2) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))), (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))), (cbrt (/ 1/2 (hypot 1 x))), (* (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (sqrt (/ 1/2 (hypot 1 x))), (- 1/2), (- (hypot 1 x)), (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (cbrt 1/2) (cbrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))), (/ (cbrt 1/2) (sqrt (hypot 1 x))), (/ (* (cbrt 1/2) (cbrt 1/2)) 1), (/ (cbrt 1/2) (hypot 1 x)), (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ (sqrt 1/2) (cbrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) (sqrt (hypot 1 x))), (/ (sqrt 1/2) 1), (/ (sqrt 1/2) (hypot 1 x)), (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (cbrt (hypot 1 x))), (/ 1 (sqrt (hypot 1 x))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1 1), (/ 1/2 (hypot 1 x)), (/ 1 (hypot 1 x)), (/ (hypot 1 x) 1/2), (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))), (/ 1/2 (sqrt (hypot 1 x))), (/ 1/2 1), (/ (hypot 1 x) (cbrt 1/2)), (/ (hypot 1 x) (sqrt 1/2)), (/ (hypot 1 x) 1/2), (real->posit16 (/ 1/2 (hypot 1 x))), (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))), (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))), (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))), (- (+ (* 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)))) 3.941 * * [simplify]: iteration 1: (248 enodes) 4.069 * * [simplify]: iteration 2: (1055 enodes) 4.961 * * [simplify]: Extracting #0: cost 98 inf + 0 4.963 * * [simplify]: Extracting #1: cost 431 inf + 44 4.968 * * [simplify]: Extracting #2: cost 710 inf + 3038 4.978 * * [simplify]: Extracting #3: cost 646 inf + 18596 5.016 * * [simplify]: Extracting #4: cost 281 inf + 96205 5.069 * * [simplify]: Extracting #5: cost 45 inf + 157189 5.128 * * [simplify]: Extracting #6: cost 2 inf + 170846 5.191 * * [simplify]: Extracting #7: cost 0 inf + 171362 5.233 * [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 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 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))))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))), (+ 1/2 (/ (* (/ -1/2 (cbrt (hypot 1 x))) 1) (* (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))))), (+ 1/2 (* (/ -1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))), (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (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 (/ 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 (/ 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 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))))), (- 1/2 (/ 1/2 (hypot 1 x))), (fma (/ 1/2 (hypot 1 x)) -1 (/ 1/2 (hypot 1 x))), (+ 1/2 (/ (* (/ -1/2 (cbrt (hypot 1 x))) 1) (* (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))))), (+ 1/2 (* (/ -1/2 (sqrt (hypot 1 x))) (/ 1 (sqrt (hypot 1 x))))), (fma (/ 1/2 (sqrt (hypot 1 x))) (/ -1 (sqrt (hypot 1 x))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (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 (/ 1/2 (hypot 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 (+ (/ 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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))) 5.248 * * * [progress]: adding candidates to table 6.768 * * [progress]: iteration 3 / 4 6.768 * * * [progress]: picking best candidate 6.805 * * * * [pick]: Picked # 6.805 * * * [progress]: localizing error 6.863 * * * [progress]: generating rewritten candidates 6.863 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.906 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 6.935 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.039 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 7.069 * * * [progress]: generating series expansions 7.069 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.069 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) 7.070 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 7.070 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.070 * [taylor]: Taking taylor expansion of 1/8 in x 7.070 * [backup-simplify]: Simplify 1/8 into 1/8 7.070 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.070 * [taylor]: Taking taylor expansion of 1/8 in x 7.070 * [backup-simplify]: Simplify 1/8 into 1/8 7.070 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.070 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.070 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.070 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.070 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.070 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.070 * [taylor]: Taking taylor expansion of 1 in x 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [taylor]: Taking taylor expansion of 1 in x 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [taylor]: Taking taylor expansion of (* x x) in x 7.070 * [taylor]: Taking taylor expansion of x in x 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [taylor]: Taking taylor expansion of x in x 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (* 1 1) into 1 7.072 * [backup-simplify]: Simplify (* 0 0) into 0 7.072 * [backup-simplify]: Simplify (+ 1 0) into 1 7.072 * [backup-simplify]: Simplify (sqrt 1) into 1 7.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.074 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.075 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.076 * [backup-simplify]: Simplify (* 1 1) into 1 7.077 * [backup-simplify]: Simplify (* 1 1) into 1 7.077 * [backup-simplify]: Simplify (/ 1 1) into 1 7.077 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.077 * [taylor]: Taking taylor expansion of 1/8 in x 7.077 * [backup-simplify]: Simplify 1/8 into 1/8 7.077 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.077 * [taylor]: Taking taylor expansion of 1/8 in x 7.077 * [backup-simplify]: Simplify 1/8 into 1/8 7.077 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.077 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.077 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.077 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.077 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.077 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.077 * [taylor]: Taking taylor expansion of 1 in x 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [taylor]: Taking taylor expansion of 1 in x 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [taylor]: Taking taylor expansion of (* x x) in x 7.078 * [taylor]: Taking taylor expansion of x in x 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [taylor]: Taking taylor expansion of x in x 7.078 * [backup-simplify]: Simplify 0 into 0 7.078 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify (* 1 1) into 1 7.079 * [backup-simplify]: Simplify (* 0 0) into 0 7.079 * [backup-simplify]: Simplify (+ 1 0) into 1 7.080 * [backup-simplify]: Simplify (sqrt 1) into 1 7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.081 * [backup-simplify]: Simplify (+ 0 0) into 0 7.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.082 * [backup-simplify]: Simplify (* 1 1) into 1 7.083 * [backup-simplify]: Simplify (* 1 1) into 1 7.083 * [backup-simplify]: Simplify (/ 1 1) into 1 7.084 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.084 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.084 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.088 * [backup-simplify]: Simplify (- 0) into 0 7.088 * [backup-simplify]: Simplify (+ 0 0) into 0 7.088 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.090 * [backup-simplify]: Simplify (+ 0 1) into 1 7.091 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.092 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.093 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.096 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.096 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.097 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.097 * [backup-simplify]: Simplify 3/16 into 3/16 7.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.099 * [backup-simplify]: Simplify (+ 0 0) into 0 7.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 7.107 * [backup-simplify]: Simplify (- 0) into 0 7.107 * [backup-simplify]: Simplify (+ 0 0) into 0 7.107 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.110 * [backup-simplify]: Simplify (+ 0 0) into 0 7.111 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.113 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 7.119 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 7.119 * [backup-simplify]: Simplify (- 15/64) into -15/64 7.120 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 7.120 * [backup-simplify]: Simplify -15/64 into -15/64 7.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 7.136 * [backup-simplify]: Simplify (- 0) into 0 7.136 * [backup-simplify]: Simplify (+ 0 0) into 0 7.136 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.140 * [backup-simplify]: Simplify (+ 0 0) into 0 7.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.144 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 7.151 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 7.152 * [backup-simplify]: Simplify (- -35/128) into 35/128 7.152 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 7.152 * [backup-simplify]: Simplify 35/128 into 35/128 7.153 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 6)) (+ (* -15/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (+ (* 3/16 (pow x 2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))) 7.153 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) 7.153 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 7.153 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.153 * [taylor]: Taking taylor expansion of 1/8 in x 7.153 * [backup-simplify]: Simplify 1/8 into 1/8 7.153 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.153 * [taylor]: Taking taylor expansion of 1/8 in x 7.153 * [backup-simplify]: Simplify 1/8 into 1/8 7.154 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.154 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.154 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.154 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.154 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.154 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.154 * [taylor]: Taking taylor expansion of 1 in x 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [taylor]: Taking taylor expansion of 1 in x 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.154 * [taylor]: Taking taylor expansion of x in x 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.154 * [backup-simplify]: Simplify (/ 1 1) into 1 7.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.154 * [taylor]: Taking taylor expansion of x in x 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 1 into 1 7.155 * [backup-simplify]: Simplify (/ 1 1) into 1 7.155 * [backup-simplify]: Simplify (* 1 1) into 1 7.156 * [backup-simplify]: Simplify (+ 0 1) into 1 7.156 * [backup-simplify]: Simplify (sqrt 1) into 1 7.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.161 * [backup-simplify]: Simplify (+ 0 0) into 0 7.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.163 * [backup-simplify]: Simplify (* 1 1) into 1 7.163 * [backup-simplify]: Simplify (* 1 1) into 1 7.163 * [backup-simplify]: Simplify (/ 1 1) into 1 7.163 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.164 * [taylor]: Taking taylor expansion of 1/8 in x 7.164 * [backup-simplify]: Simplify 1/8 into 1/8 7.164 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.164 * [taylor]: Taking taylor expansion of 1/8 in x 7.164 * [backup-simplify]: Simplify 1/8 into 1/8 7.164 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.164 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.164 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.164 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.164 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.164 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.164 * [taylor]: Taking taylor expansion of 1 in x 7.164 * [backup-simplify]: Simplify 1 into 1 7.164 * [taylor]: Taking taylor expansion of 1 in x 7.164 * [backup-simplify]: Simplify 1 into 1 7.164 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.164 * [taylor]: Taking taylor expansion of x in x 7.164 * [backup-simplify]: Simplify 0 into 0 7.164 * [backup-simplify]: Simplify 1 into 1 7.165 * [backup-simplify]: Simplify (/ 1 1) into 1 7.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.165 * [taylor]: Taking taylor expansion of x in x 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 1 into 1 7.165 * [backup-simplify]: Simplify (/ 1 1) into 1 7.165 * [backup-simplify]: Simplify (* 1 1) into 1 7.166 * [backup-simplify]: Simplify (+ 0 1) into 1 7.166 * [backup-simplify]: Simplify (sqrt 1) into 1 7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.169 * [backup-simplify]: Simplify (+ 0 0) into 0 7.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.170 * [backup-simplify]: Simplify (* 1 1) into 1 7.170 * [backup-simplify]: Simplify (* 1 1) into 1 7.170 * [backup-simplify]: Simplify (/ 1 1) into 1 7.171 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.171 * [backup-simplify]: Simplify 1/8 into 1/8 7.171 * [backup-simplify]: Simplify (+ 0 0) into 0 7.171 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify (+ 0 0) into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.173 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.173 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 7.173 * [backup-simplify]: Simplify -1/8 into -1/8 7.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.177 * [backup-simplify]: Simplify (- 0) into 0 7.177 * [backup-simplify]: Simplify (+ 0 0) into 0 7.177 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify (* 1 1) into 1 7.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.181 * [backup-simplify]: Simplify (+ 1 0) into 1 7.182 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.183 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.184 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.186 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.187 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.187 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.187 * [backup-simplify]: Simplify 3/16 into 3/16 7.188 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/8 (pow (/ 1 x) 3)) 1/8)) into (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))) 7.188 * [backup-simplify]: Simplify (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) 7.188 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 7.188 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 7.188 * [taylor]: Taking taylor expansion of 1/8 in x 7.188 * [backup-simplify]: Simplify 1/8 into 1/8 7.188 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.188 * [taylor]: Taking taylor expansion of 1/8 in x 7.188 * [backup-simplify]: Simplify 1/8 into 1/8 7.188 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.188 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.188 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.189 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.189 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.189 * [taylor]: Taking taylor expansion of 1 in x 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [taylor]: Taking taylor expansion of 1 in x 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.189 * [taylor]: Taking taylor expansion of -1 in x 7.189 * [backup-simplify]: Simplify -1 into -1 7.189 * [taylor]: Taking taylor expansion of x in x 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [backup-simplify]: Simplify (/ -1 1) into -1 7.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.189 * [taylor]: Taking taylor expansion of -1 in x 7.189 * [backup-simplify]: Simplify -1 into -1 7.189 * [taylor]: Taking taylor expansion of x in x 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 1 into 1 7.190 * [backup-simplify]: Simplify (/ -1 1) into -1 7.190 * [backup-simplify]: Simplify (* -1 -1) into 1 7.190 * [backup-simplify]: Simplify (+ 0 1) into 1 7.190 * [backup-simplify]: Simplify (sqrt 1) into 1 7.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.192 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.192 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.193 * [backup-simplify]: Simplify (* 1 1) into 1 7.193 * [backup-simplify]: Simplify (* 1 1) into 1 7.193 * [backup-simplify]: Simplify (/ 1 1) into 1 7.193 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 7.193 * [taylor]: Taking taylor expansion of 1/8 in x 7.193 * [backup-simplify]: Simplify 1/8 into 1/8 7.193 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.193 * [taylor]: Taking taylor expansion of 1/8 in x 7.193 * [backup-simplify]: Simplify 1/8 into 1/8 7.193 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.193 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.193 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.193 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.193 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.193 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.193 * [taylor]: Taking taylor expansion of 1 in x 7.193 * [backup-simplify]: Simplify 1 into 1 7.193 * [taylor]: Taking taylor expansion of 1 in x 7.193 * [backup-simplify]: Simplify 1 into 1 7.193 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.193 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.193 * [taylor]: Taking taylor expansion of -1 in x 7.193 * [backup-simplify]: Simplify -1 into -1 7.193 * [taylor]: Taking taylor expansion of x in x 7.193 * [backup-simplify]: Simplify 0 into 0 7.193 * [backup-simplify]: Simplify 1 into 1 7.194 * [backup-simplify]: Simplify (/ -1 1) into -1 7.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.194 * [taylor]: Taking taylor expansion of -1 in x 7.194 * [backup-simplify]: Simplify -1 into -1 7.194 * [taylor]: Taking taylor expansion of x in x 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 1 into 1 7.194 * [backup-simplify]: Simplify (/ -1 1) into -1 7.194 * [backup-simplify]: Simplify (* -1 -1) into 1 7.195 * [backup-simplify]: Simplify (+ 0 1) into 1 7.195 * [backup-simplify]: Simplify (sqrt 1) into 1 7.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.196 * [backup-simplify]: Simplify (+ 0 0) into 0 7.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.197 * [backup-simplify]: Simplify (* 1 1) into 1 7.197 * [backup-simplify]: Simplify (* 1 1) into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.198 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.198 * [backup-simplify]: Simplify 1/8 into 1/8 7.198 * [backup-simplify]: Simplify (+ 0 0) into 0 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify (+ 0 0) into 0 7.198 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.199 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.199 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 7.199 * [backup-simplify]: Simplify -1/8 into -1/8 7.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.201 * [backup-simplify]: Simplify (- 0) into 0 7.201 * [backup-simplify]: Simplify (+ 0 0) into 0 7.201 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify (* 1 1) into 1 7.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.203 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.204 * [backup-simplify]: Simplify (+ 1 0) into 1 7.204 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.205 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.205 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.207 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.207 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.207 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.207 * [backup-simplify]: Simplify 3/16 into 3/16 7.208 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) 1/8)) into (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))) 7.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 7.208 * [backup-simplify]: Simplify (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) into (/ 1/8 (pow (hypot 1 x) 3)) 7.208 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in (x) around 0 7.208 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 7.208 * [taylor]: Taking taylor expansion of 1/8 in x 7.208 * [backup-simplify]: Simplify 1/8 into 1/8 7.208 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.208 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.208 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.208 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.208 * [taylor]: Taking taylor expansion of 1 in x 7.208 * [backup-simplify]: Simplify 1 into 1 7.208 * [taylor]: Taking taylor expansion of 1 in x 7.208 * [backup-simplify]: Simplify 1 into 1 7.208 * [taylor]: Taking taylor expansion of (* x x) in x 7.208 * [taylor]: Taking taylor expansion of x in x 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 1 into 1 7.208 * [taylor]: Taking taylor expansion of x in x 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 1 into 1 7.208 * [backup-simplify]: Simplify (* 1 1) into 1 7.209 * [backup-simplify]: Simplify (* 0 0) into 0 7.209 * [backup-simplify]: Simplify (+ 1 0) into 1 7.209 * [backup-simplify]: Simplify (sqrt 1) into 1 7.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.210 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.210 * [backup-simplify]: Simplify (+ 0 0) into 0 7.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.211 * [backup-simplify]: Simplify (* 1 1) into 1 7.211 * [backup-simplify]: Simplify (* 1 1) into 1 7.211 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.211 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 7.211 * [taylor]: Taking taylor expansion of 1/8 in x 7.211 * [backup-simplify]: Simplify 1/8 into 1/8 7.211 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.211 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.211 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.212 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.212 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.212 * [taylor]: Taking taylor expansion of 1 in x 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [taylor]: Taking taylor expansion of 1 in x 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [taylor]: Taking taylor expansion of (* x x) in x 7.212 * [taylor]: Taking taylor expansion of x in x 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [taylor]: Taking taylor expansion of x in x 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (* 1 1) into 1 7.212 * [backup-simplify]: Simplify (* 0 0) into 0 7.212 * [backup-simplify]: Simplify (+ 1 0) into 1 7.213 * [backup-simplify]: Simplify (sqrt 1) into 1 7.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.214 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.215 * [backup-simplify]: Simplify (* 1 1) into 1 7.215 * [backup-simplify]: Simplify (* 1 1) into 1 7.215 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.215 * [backup-simplify]: Simplify 1/8 into 1/8 7.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.219 * [backup-simplify]: Simplify (+ 0 1) into 1 7.219 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.220 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.220 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 7.221 * [backup-simplify]: Simplify -3/16 into -3/16 7.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.223 * [backup-simplify]: Simplify (+ 0 0) into 0 7.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.227 * [backup-simplify]: Simplify (+ 0 0) into 0 7.228 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.229 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 7.231 * [backup-simplify]: Simplify 15/64 into 15/64 7.231 * [backup-simplify]: Simplify (+ (* 15/64 (pow x 4)) (+ (* -3/16 (pow x 2)) 1/8)) into (- (+ (* 15/64 (pow x 4)) 1/8) (* 3/16 (pow x 2))) 7.231 * [backup-simplify]: Simplify (/ 1/8 (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x)))) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 7.231 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in (x) around 0 7.231 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 7.232 * [taylor]: Taking taylor expansion of 1/8 in x 7.232 * [backup-simplify]: Simplify 1/8 into 1/8 7.232 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.232 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.232 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.232 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.232 * [taylor]: Taking taylor expansion of 1 in x 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [taylor]: Taking taylor expansion of 1 in x 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.232 * [taylor]: Taking taylor expansion of x in x 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ 1 1) into 1 7.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.232 * [taylor]: Taking taylor expansion of x in x 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ 1 1) into 1 7.233 * [backup-simplify]: Simplify (* 1 1) into 1 7.233 * [backup-simplify]: Simplify (+ 0 1) into 1 7.233 * [backup-simplify]: Simplify (sqrt 1) into 1 7.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.235 * [backup-simplify]: Simplify (+ 0 0) into 0 7.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.236 * [backup-simplify]: Simplify (* 1 1) into 1 7.236 * [backup-simplify]: Simplify (* 1 1) into 1 7.236 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.237 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 7.237 * [taylor]: Taking taylor expansion of 1/8 in x 7.237 * [backup-simplify]: Simplify 1/8 into 1/8 7.237 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.237 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.237 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.237 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.237 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.237 * [taylor]: Taking taylor expansion of 1 in x 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [taylor]: Taking taylor expansion of 1 in x 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.237 * [taylor]: Taking taylor expansion of x in x 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [backup-simplify]: Simplify (/ 1 1) into 1 7.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.237 * [taylor]: Taking taylor expansion of x in x 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.238 * [backup-simplify]: Simplify (/ 1 1) into 1 7.238 * [backup-simplify]: Simplify (* 1 1) into 1 7.238 * [backup-simplify]: Simplify (+ 0 1) into 1 7.239 * [backup-simplify]: Simplify (sqrt 1) into 1 7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.240 * [backup-simplify]: Simplify (+ 0 0) into 0 7.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.241 * [backup-simplify]: Simplify (* 1 1) into 1 7.241 * [backup-simplify]: Simplify (* 1 1) into 1 7.242 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.242 * [backup-simplify]: Simplify 1/8 into 1/8 7.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (* 1 1) into 1 7.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.245 * [backup-simplify]: Simplify (+ 1 0) into 1 7.246 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.246 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.247 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 7.247 * [backup-simplify]: Simplify -3/16 into -3/16 7.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.255 * [backup-simplify]: Simplify (+ 0 0) into 0 7.256 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.259 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 7.261 * [backup-simplify]: Simplify 15/64 into 15/64 7.261 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 x) 7)) (+ (* -3/16 (pow (/ 1 x) 5)) (* 1/8 (pow (/ 1 x) 3)))) into (- (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3)))) (* 3/16 (/ 1 (pow x 5)))) 7.261 * [backup-simplify]: Simplify (/ 1/8 (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x))))) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 7.261 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in (x) around 0 7.261 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 7.261 * [taylor]: Taking taylor expansion of 1/8 in x 7.261 * [backup-simplify]: Simplify 1/8 into 1/8 7.261 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.261 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.261 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.261 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.261 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.261 * [taylor]: Taking taylor expansion of 1 in x 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of 1 in x 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.262 * [taylor]: Taking taylor expansion of -1 in x 7.262 * [backup-simplify]: Simplify -1 into -1 7.262 * [taylor]: Taking taylor expansion of x in x 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.262 * [backup-simplify]: Simplify (/ -1 1) into -1 7.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.262 * [taylor]: Taking taylor expansion of -1 in x 7.262 * [backup-simplify]: Simplify -1 into -1 7.262 * [taylor]: Taking taylor expansion of x in x 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.262 * [backup-simplify]: Simplify (/ -1 1) into -1 7.262 * [backup-simplify]: Simplify (* -1 -1) into 1 7.263 * [backup-simplify]: Simplify (+ 0 1) into 1 7.263 * [backup-simplify]: Simplify (sqrt 1) into 1 7.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.264 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.265 * [backup-simplify]: Simplify (+ 0 0) into 0 7.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.265 * [backup-simplify]: Simplify (* 1 1) into 1 7.266 * [backup-simplify]: Simplify (* 1 1) into 1 7.266 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.266 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 7.266 * [taylor]: Taking taylor expansion of 1/8 in x 7.266 * [backup-simplify]: Simplify 1/8 into 1/8 7.266 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.266 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.266 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.266 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.266 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.266 * [taylor]: Taking taylor expansion of 1 in x 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [taylor]: Taking taylor expansion of 1 in x 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.266 * [taylor]: Taking taylor expansion of -1 in x 7.266 * [backup-simplify]: Simplify -1 into -1 7.266 * [taylor]: Taking taylor expansion of x in x 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (/ -1 1) into -1 7.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.266 * [taylor]: Taking taylor expansion of -1 in x 7.266 * [backup-simplify]: Simplify -1 into -1 7.266 * [taylor]: Taking taylor expansion of x in x 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (/ -1 1) into -1 7.267 * [backup-simplify]: Simplify (* -1 -1) into 1 7.267 * [backup-simplify]: Simplify (+ 0 1) into 1 7.267 * [backup-simplify]: Simplify (sqrt 1) into 1 7.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.269 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.269 * [backup-simplify]: Simplify (+ 0 0) into 0 7.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.270 * [backup-simplify]: Simplify (* 1 1) into 1 7.270 * [backup-simplify]: Simplify (* 1 1) into 1 7.270 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 7.270 * [backup-simplify]: Simplify 1/8 into 1/8 7.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify (* 1 1) into 1 7.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.274 * [backup-simplify]: Simplify (+ 1 0) into 1 7.274 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.275 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.276 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 7.276 * [backup-simplify]: Simplify -3/16 into -3/16 7.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.278 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.279 * [backup-simplify]: Simplify (+ 0 0) into 0 7.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.284 * [backup-simplify]: Simplify (+ 0 0) into 0 7.286 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.287 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 7.291 * [backup-simplify]: Simplify 15/64 into 15/64 7.291 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 (- x)) 7)) (+ (* -3/16 (pow (/ 1 (- x)) 5)) (* 1/8 (pow (/ 1 (- x)) 3)))) into (- (* 3/16 (/ 1 (pow x 5))) (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3))))) 7.291 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.292 * [backup-simplify]: Simplify (/ (- 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)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1/4)) 7.292 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1/4)) in (x) around 0 7.292 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1/4)) in x 7.292 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.292 * [taylor]: Taking taylor expansion of 1/8 in x 7.292 * [backup-simplify]: Simplify 1/8 into 1/8 7.292 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.292 * [taylor]: Taking taylor expansion of 1/8 in x 7.292 * [backup-simplify]: Simplify 1/8 into 1/8 7.292 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.292 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.292 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.292 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.292 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.292 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.292 * [taylor]: Taking taylor expansion of 1 in x 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [taylor]: Taking taylor expansion of 1 in x 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [taylor]: Taking taylor expansion of (* x x) in x 7.292 * [taylor]: Taking taylor expansion of x in x 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [taylor]: Taking taylor expansion of x in x 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (* 1 1) into 1 7.293 * [backup-simplify]: Simplify (* 0 0) into 0 7.294 * [backup-simplify]: Simplify (+ 1 0) into 1 7.294 * [backup-simplify]: Simplify (sqrt 1) into 1 7.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.295 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.296 * [backup-simplify]: Simplify (+ 0 0) into 0 7.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.297 * [backup-simplify]: Simplify (* 1 1) into 1 7.297 * [backup-simplify]: Simplify (* 1 1) into 1 7.298 * [backup-simplify]: Simplify (/ 1 1) into 1 7.298 * [taylor]: Taking taylor expansion of (fma (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1/4) in x 7.298 * [taylor]: Rewrote expression to (+ (* (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1/4) 7.298 * [taylor]: Taking taylor expansion of (* (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 7.298 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 7.298 * [taylor]: Taking taylor expansion of 1/2 in x 7.298 * [backup-simplify]: Simplify 1/2 into 1/2 7.298 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.298 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.298 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.298 * [taylor]: Taking taylor expansion of 1 in x 7.298 * [backup-simplify]: Simplify 1 into 1 7.298 * [taylor]: Taking taylor expansion of 1 in x 7.298 * [backup-simplify]: Simplify 1 into 1 7.298 * [taylor]: Taking taylor expansion of (* x x) in x 7.298 * [taylor]: Taking taylor expansion of x in x 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 1 into 1 7.298 * [taylor]: Taking taylor expansion of x in x 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 1 into 1 7.299 * [backup-simplify]: Simplify (* 1 1) into 1 7.299 * [backup-simplify]: Simplify (* 0 0) into 0 7.299 * [backup-simplify]: Simplify (+ 1 0) into 1 7.300 * [backup-simplify]: Simplify (sqrt 1) into 1 7.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.301 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.302 * [backup-simplify]: Simplify (+ 0 0) into 0 7.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 7.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 7.303 * [taylor]: Taking taylor expansion of 1/2 in x 7.303 * [backup-simplify]: Simplify 1/2 into 1/2 7.303 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 7.303 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.303 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.303 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.303 * [taylor]: Taking taylor expansion of 1 in x 7.303 * [backup-simplify]: Simplify 1 into 1 7.303 * [taylor]: Taking taylor expansion of 1 in x 7.303 * [backup-simplify]: Simplify 1 into 1 7.303 * [taylor]: Taking taylor expansion of (* x x) in x 7.303 * [taylor]: Taking taylor expansion of x in x 7.303 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify 1 into 1 7.303 * [taylor]: Taking taylor expansion of x in x 7.303 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify 1 into 1 7.304 * [backup-simplify]: Simplify (* 1 1) into 1 7.304 * [backup-simplify]: Simplify (* 0 0) into 0 7.304 * [backup-simplify]: Simplify (+ 1 0) into 1 7.305 * [backup-simplify]: Simplify (sqrt 1) into 1 7.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.306 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.306 * [backup-simplify]: Simplify (+ 0 0) into 0 7.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.307 * [backup-simplify]: Simplify (/ 1 1) into 1 7.307 * [taylor]: Taking taylor expansion of 1/2 in x 7.307 * [backup-simplify]: Simplify 1/2 into 1/2 7.307 * [taylor]: Taking taylor expansion of 1/4 in x 7.307 * [backup-simplify]: Simplify 1/4 into 1/4 7.308 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.308 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.309 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 7.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.312 * [backup-simplify]: Simplify (- 0) into 0 7.312 * [backup-simplify]: Simplify (+ 0 0) into 0 7.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.314 * [backup-simplify]: Simplify (+ 0 1) into 1 7.314 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.315 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.315 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.317 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.317 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.317 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.318 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.318 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 7.318 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.318 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 7.319 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 7.319 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) (fma (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1/4)) in x 7.319 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 7.319 * [taylor]: Taking taylor expansion of 1/8 in x 7.319 * [backup-simplify]: Simplify 1/8 into 1/8 7.319 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 7.319 * [taylor]: Taking taylor expansion of 1/8 in x 7.319 * [backup-simplify]: Simplify 1/8 into 1/8 7.319 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 7.319 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.319 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.319 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.319 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.319 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.319 * [taylor]: Taking taylor expansion of 1 in x 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [taylor]: Taking taylor expansion of 1 in x 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [taylor]: Taking taylor expansion of (* x x) in x 7.319 * [taylor]: Taking taylor expansion of x in x 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [taylor]: Taking taylor expansion of x in x 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [backup-simplify]: Simplify (* 1 1) into 1 7.319 * [backup-simplify]: Simplify (* 0 0) into 0 7.320 * [backup-simplify]: Simplify (+ 1 0) into 1 7.320 * [backup-simplify]: Simplify (sqrt 1) into 1 7.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.321 * [backup-simplify]: Simplify (+ 0 0) into 0 7.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.322 * [backup-simplify]: Simplify (* 1 1) into 1 7.322 * [backup-simplify]: Simplify (* 1 1) into 1 7.322 * [backup-simplify]: Simplify (/ 1 1) into 1 7.322 * [taylor]: Taking taylor expansion of (fma (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) 1/4) in x 7.322 * [taylor]: Rewrote expression to (+ (* (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1/4) 7.322 * [taylor]: Taking taylor expansion of (* (/ 1/2 (hypot 1 x)) (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 7.322 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 x)) in x 7.322 * [taylor]: Taking taylor expansion of 1/2 in x 7.322 * [backup-simplify]: Simplify 1/2 into 1/2 7.322 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.322 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.322 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.322 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.322 * [taylor]: Taking taylor expansion of 1 in x 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [taylor]: Taking taylor expansion of 1 in x 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [taylor]: Taking taylor expansion of (* x x) in x 7.322 * [taylor]: Taking taylor expansion of x in x 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.322 * [taylor]: Taking taylor expansion of x in x 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.323 * [backup-simplify]: Simplify (* 1 1) into 1 7.323 * [backup-simplify]: Simplify (* 0 0) into 0 7.323 * [backup-simplify]: Simplify (+ 1 0) into 1 7.323 * [backup-simplify]: Simplify (sqrt 1) into 1 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.324 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.325 * [backup-simplify]: Simplify (+ 0 0) into 0 7.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.325 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 7.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 7.325 * [taylor]: Taking taylor expansion of 1/2 in x 7.325 * [backup-simplify]: Simplify 1/2 into 1/2 7.325 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 7.325 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.325 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.325 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.325 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.325 * [taylor]: Taking taylor expansion of 1 in x 7.325 * [backup-simplify]: Simplify 1 into 1 7.325 * [taylor]: Taking taylor expansion of 1 in x 7.325 * [backup-simplify]: Simplify 1 into 1 7.326 * [taylor]: Taking taylor expansion of (* x x) in x 7.326 * [taylor]: Taking taylor expansion of x in x 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.326 * [taylor]: Taking taylor expansion of x in x 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.326 * [backup-simplify]: Simplify (* 1 1) into 1 7.326 * [backup-simplify]: Simplify (* 0 0) into 0 7.326 * [backup-simplify]: Simplify (+ 1 0) into 1 7.327 * [backup-simplify]: Simplify (sqrt 1) into 1 7.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.328 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.328 * [backup-simplify]: Simplify (+ 0 0) into 0 7.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.329 * [backup-simplify]: Simplify (/ 1 1) into 1 7.329 * [taylor]: Taking taylor expansion of 1/2 in x 7.329 * [backup-simplify]: Simplify 1/2 into 1/2 7.329 * [taylor]: Taking taylor expansion of 1/4 in x 7.329 * [backup-simplify]: Simplify 1/4 into 1/4 7.329 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.329 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.330 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 7.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.331 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.331 * [backup-simplify]: Simplify (- 0) into 0 7.332 * [backup-simplify]: Simplify (+ 0 0) into 0 7.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.333 * [backup-simplify]: Simplify (+ 0 1) into 1 7.333 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.334 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.335 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 7.336 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 7.336 * [backup-simplify]: Simplify (- -3/16) into 3/16 7.337 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 7.337 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.337 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 7.337 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.338 * [backup-simplify]: Simplify (+ 1/2 1/4) into 3/4 7.338 * [backup-simplify]: Simplify (/ 3/16 3/4) into 1/4 7.338 * [backup-simplify]: Simplify 1/4 into 1/4 7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 7.343 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 7.343 * [backup-simplify]: Simplify (- 0) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.345 * [backup-simplify]: Simplify (+ 0 0) into 0 7.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.346 * [backup-simplify]: Simplify (+ 0 0) into 0 7.347 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)))) into 0 7.347 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.350 * [backup-simplify]: Simplify (+ 0 0) into 0 7.351 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.353 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 7.360 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 7.361 * [backup-simplify]: Simplify (- 15/64) into -15/64 7.361 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 7.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.363 * [backup-simplify]: Simplify (+ 0 1) into 1 7.364 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2 7.366 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4 7.367 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4 7.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.369 * [backup-simplify]: Simplify (+ 0 1) into 1 7.370 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.372 * [backup-simplify]: Simplify (+ (* 1/2 -1/4) (+ (* 0 0) (* -1/4 1))) into -3/8 7.373 * [backup-simplify]: Simplify (+ -3/8 0) into -3/8 7.374 * [backup-simplify]: Simplify (- (/ -15/64 3/4) (+ (* 1/4 (/ -3/8 3/4)) (* 0 (/ 0 3/4)))) into -3/16 7.374 * [backup-simplify]: Simplify -3/16 into -3/16 7.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.377 * [backup-simplify]: Simplify (+ 0 0) into 0 7.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 7.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 7.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 7.389 * [backup-simplify]: Simplify (- 0) into 0 7.389 * [backup-simplify]: Simplify (+ 0 0) into 0 7.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.392 * [backup-simplify]: Simplify (+ 0 0) into 0 7.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.399 * [backup-simplify]: Simplify (+ 0 0) into 0 7.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/4 (/ 0 1)))) into 0 7.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/4) (+ (* -1/4 0) (* 0 1)))) into 0 7.404 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify (- (/ 0 3/4) (+ (* 1/4 (/ 0 3/4)) (* 0 (/ -3/8 3/4)) (* -3/16 (/ 0 3/4)))) into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.410 * [backup-simplify]: Simplify (+ 0 0) into 0 7.412 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 7.414 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 7.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 7.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 7.422 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 7.422 * [backup-simplify]: Simplify (- -35/128) into 35/128 7.423 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.425 * [backup-simplify]: Simplify (+ 0 0) into 0 7.427 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8 7.430 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16 7.431 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16 7.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.433 * [backup-simplify]: Simplify (+ 0 0) into 0 7.435 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/4 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/16 7.438 * [backup-simplify]: Simplify (+ (* 1/2 3/16) (+ (* 0 0) (+ (* -1/4 -1/4) (+ (* 0 0) (* 3/16 1))))) into 11/32 7.439 * [backup-simplify]: Simplify (+ 11/32 0) into 11/32 7.441 * [backup-simplify]: Simplify (- (/ 35/128 3/4) (+ (* 1/4 (/ 11/32 3/4)) (* 0 (/ 0 3/4)) (* -3/16 (/ -3/8 3/4)) (* 0 (/ 0 3/4)))) into 5/32 7.441 * [backup-simplify]: Simplify 5/32 into 5/32 7.441 * [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))) 7.442 * [backup-simplify]: Simplify (/ (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))))) (fma (/ 1/2 (hypot 1 (/ 1 x))) (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) 1/4)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 1/4)) 7.442 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 1/4)) in (x) around 0 7.442 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 1/4)) in x 7.442 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.442 * [taylor]: Taking taylor expansion of 1/8 in x 7.442 * [backup-simplify]: Simplify 1/8 into 1/8 7.442 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.442 * [taylor]: Taking taylor expansion of 1/8 in x 7.442 * [backup-simplify]: Simplify 1/8 into 1/8 7.442 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.442 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.442 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.442 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.442 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.442 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.442 * [taylor]: Taking taylor expansion of 1 in x 7.442 * [backup-simplify]: Simplify 1 into 1 7.443 * [taylor]: Taking taylor expansion of 1 in x 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.443 * [taylor]: Taking taylor expansion of x in x 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (/ 1 1) into 1 7.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.443 * [taylor]: Taking taylor expansion of x in x 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.444 * [backup-simplify]: Simplify (/ 1 1) into 1 7.444 * [backup-simplify]: Simplify (* 1 1) into 1 7.444 * [backup-simplify]: Simplify (+ 0 1) into 1 7.445 * [backup-simplify]: Simplify (sqrt 1) into 1 7.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.448 * [backup-simplify]: Simplify (+ 0 0) into 0 7.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.449 * [backup-simplify]: Simplify (* 1 1) into 1 7.449 * [backup-simplify]: Simplify (* 1 1) into 1 7.449 * [backup-simplify]: Simplify (/ 1 1) into 1 7.449 * [taylor]: Taking taylor expansion of (fma (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 1/4) in x 7.450 * [taylor]: Rewrote expression to (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1/4) 7.450 * [taylor]: Taking taylor expansion of (* (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 7.450 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 7.450 * [taylor]: Taking taylor expansion of 1/2 in x 7.450 * [backup-simplify]: Simplify 1/2 into 1/2 7.450 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.450 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.450 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.450 * [taylor]: Taking taylor expansion of 1 in x 7.450 * [backup-simplify]: Simplify 1 into 1 7.450 * [taylor]: Taking taylor expansion of 1 in x 7.450 * [backup-simplify]: Simplify 1 into 1 7.450 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.450 * [taylor]: Taking taylor expansion of x in x 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 1 into 1 7.450 * [backup-simplify]: Simplify (/ 1 1) into 1 7.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.450 * [taylor]: Taking taylor expansion of x in x 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 1 into 1 7.451 * [backup-simplify]: Simplify (/ 1 1) into 1 7.451 * [backup-simplify]: Simplify (* 1 1) into 1 7.452 * [backup-simplify]: Simplify (+ 0 1) into 1 7.452 * [backup-simplify]: Simplify (sqrt 1) into 1 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.454 * [backup-simplify]: Simplify (+ 0 0) into 0 7.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.456 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.456 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 7.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 7.456 * [taylor]: Taking taylor expansion of 1/2 in x 7.456 * [backup-simplify]: Simplify 1/2 into 1/2 7.456 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.456 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.456 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.456 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.456 * [taylor]: Taking taylor expansion of 1 in x 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [taylor]: Taking taylor expansion of 1 in x 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.456 * [taylor]: Taking taylor expansion of x in x 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [backup-simplify]: Simplify (/ 1 1) into 1 7.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.457 * [taylor]: Taking taylor expansion of x in x 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.457 * [backup-simplify]: Simplify (/ 1 1) into 1 7.457 * [backup-simplify]: Simplify (* 1 1) into 1 7.458 * [backup-simplify]: Simplify (+ 0 1) into 1 7.458 * [backup-simplify]: Simplify (sqrt 1) into 1 7.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.461 * [backup-simplify]: Simplify (+ 0 0) into 0 7.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.462 * [backup-simplify]: Simplify (/ 1 1) into 1 7.462 * [taylor]: Taking taylor expansion of 1/2 in x 7.462 * [backup-simplify]: Simplify 1/2 into 1/2 7.462 * [taylor]: Taking taylor expansion of 1/4 in x 7.462 * [backup-simplify]: Simplify 1/4 into 1/4 7.462 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.463 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 7.463 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 7.463 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 1/4)) in x 7.463 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 7.463 * [taylor]: Taking taylor expansion of 1/8 in x 7.463 * [backup-simplify]: Simplify 1/8 into 1/8 7.463 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 7.463 * [taylor]: Taking taylor expansion of 1/8 in x 7.463 * [backup-simplify]: Simplify 1/8 into 1/8 7.463 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 7.463 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.464 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.464 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.464 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.464 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.464 * [taylor]: Taking taylor expansion of 1 in x 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of 1 in x 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.464 * [taylor]: Taking taylor expansion of x in x 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (/ 1 1) into 1 7.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.464 * [taylor]: Taking taylor expansion of x in x 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.465 * [backup-simplify]: Simplify (/ 1 1) into 1 7.465 * [backup-simplify]: Simplify (* 1 1) into 1 7.466 * [backup-simplify]: Simplify (+ 0 1) into 1 7.466 * [backup-simplify]: Simplify (sqrt 1) into 1 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.469 * [backup-simplify]: Simplify (+ 0 0) into 0 7.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.470 * [backup-simplify]: Simplify (* 1 1) into 1 7.470 * [backup-simplify]: Simplify (* 1 1) into 1 7.470 * [backup-simplify]: Simplify (/ 1 1) into 1 7.470 * [taylor]: Taking taylor expansion of (fma (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) 1/4) in x 7.471 * [taylor]: Rewrote expression to (+ (* (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1/4) 7.471 * [taylor]: Taking taylor expansion of (* (/ 1/2 (hypot 1 (/ 1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 7.471 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ 1 x))) in x 7.471 * [taylor]: Taking taylor expansion of 1/2 in x 7.471 * [backup-simplify]: Simplify 1/2 into 1/2 7.471 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.471 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.471 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.471 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.471 * [taylor]: Taking taylor expansion of 1 in x 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of 1 in x 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.471 * [taylor]: Taking taylor expansion of x in x 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [backup-simplify]: Simplify (/ 1 1) into 1 7.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.471 * [taylor]: Taking taylor expansion of x in x 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify (/ 1 1) into 1 7.472 * [backup-simplify]: Simplify (* 1 1) into 1 7.473 * [backup-simplify]: Simplify (+ 0 1) into 1 7.473 * [backup-simplify]: Simplify (sqrt 1) into 1 7.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.476 * [backup-simplify]: Simplify (+ 0 0) into 0 7.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.477 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.477 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 7.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 7.477 * [taylor]: Taking taylor expansion of 1/2 in x 7.477 * [backup-simplify]: Simplify 1/2 into 1/2 7.477 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 7.477 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.477 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.477 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.477 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.477 * [taylor]: Taking taylor expansion of 1 in x 7.477 * [backup-simplify]: Simplify 1 into 1 7.477 * [taylor]: Taking taylor expansion of 1 in x 7.477 * [backup-simplify]: Simplify 1 into 1 7.477 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.477 * [taylor]: Taking taylor expansion of x in x 7.477 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.478 * [backup-simplify]: Simplify (/ 1 1) into 1 7.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.478 * [taylor]: Taking taylor expansion of x in x 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.478 * [backup-simplify]: Simplify (/ 1 1) into 1 7.479 * [backup-simplify]: Simplify (* 1 1) into 1 7.479 * [backup-simplify]: Simplify (+ 0 1) into 1 7.480 * [backup-simplify]: Simplify (sqrt 1) into 1 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.482 * [backup-simplify]: Simplify (+ 0 0) into 0 7.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.483 * [backup-simplify]: Simplify (/ 1 1) into 1 7.483 * [taylor]: Taking taylor expansion of 1/2 in x 7.483 * [backup-simplify]: Simplify 1/2 into 1/2 7.483 * [taylor]: Taking taylor expansion of 1/4 in x 7.483 * [backup-simplify]: Simplify 1/4 into 1/4 7.484 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.484 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 7.485 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 7.485 * [backup-simplify]: Simplify 1/2 into 1/2 7.485 * [backup-simplify]: Simplify (+ 0 0) into 0 7.486 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.486 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 7.487 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 7.488 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)))) into -1/2 7.488 * [backup-simplify]: Simplify -1/2 into -1/2 7.488 * [backup-simplify]: Simplify (+ 0 0) into 0 7.488 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.489 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.490 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 1/2)) into 1/4 7.490 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 7.491 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)) (* -1/2 (/ 1/4 1/4)))) into 0 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.491 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.492 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 7.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.493 * [backup-simplify]: Simplify (+ 0 0) into 0 7.493 * [backup-simplify]: Simplify (* 1 1) into 1 7.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.495 * [backup-simplify]: Simplify (+ 1 0) into 1 7.496 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (* -1/4 1/2))) into -1/8 7.497 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 7.498 * [backup-simplify]: Simplify (- (/ -1/8 1/4) (+ (* 1/2 (/ -1/8 1/4)) (* -1/2 (/ 1/4 1/4)) (* 0 (/ 1/4 1/4)))) into 1/4 7.498 * [backup-simplify]: Simplify 1/4 into 1/4 7.498 * [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))) 7.499 * [backup-simplify]: Simplify (/ (- 1/8 (/ 1/8 (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))))) (fma (/ 1/2 (hypot 1 (/ 1 (- x)))) (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) 1/4)) into (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 1/4)) 7.499 * [approximate]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 1/4)) in (x) around 0 7.499 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 1/4)) in x 7.499 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 7.499 * [taylor]: Taking taylor expansion of 1/8 in x 7.499 * [backup-simplify]: Simplify 1/8 into 1/8 7.499 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.499 * [taylor]: Taking taylor expansion of 1/8 in x 7.499 * [backup-simplify]: Simplify 1/8 into 1/8 7.499 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.499 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.499 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.499 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.499 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.499 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.499 * [taylor]: Taking taylor expansion of 1 in x 7.499 * [backup-simplify]: Simplify 1 into 1 7.499 * [taylor]: Taking taylor expansion of 1 in x 7.499 * [backup-simplify]: Simplify 1 into 1 7.499 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.499 * [taylor]: Taking taylor expansion of -1 in x 7.499 * [backup-simplify]: Simplify -1 into -1 7.499 * [taylor]: Taking taylor expansion of x in x 7.499 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify 1 into 1 7.501 * [backup-simplify]: Simplify (/ -1 1) into -1 7.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.501 * [taylor]: Taking taylor expansion of -1 in x 7.501 * [backup-simplify]: Simplify -1 into -1 7.501 * [taylor]: Taking taylor expansion of x in x 7.501 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify 1 into 1 7.501 * [backup-simplify]: Simplify (/ -1 1) into -1 7.502 * [backup-simplify]: Simplify (* -1 -1) into 1 7.502 * [backup-simplify]: Simplify (+ 0 1) into 1 7.502 * [backup-simplify]: Simplify (sqrt 1) into 1 7.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.503 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.504 * [backup-simplify]: Simplify (+ 0 0) into 0 7.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.504 * [backup-simplify]: Simplify (* 1 1) into 1 7.505 * [backup-simplify]: Simplify (* 1 1) into 1 7.505 * [backup-simplify]: Simplify (/ 1 1) into 1 7.505 * [taylor]: Taking taylor expansion of (fma (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 1/4) in x 7.505 * [taylor]: Rewrote expression to (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1/4) 7.505 * [taylor]: Taking taylor expansion of (* (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 7.505 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 7.505 * [taylor]: Taking taylor expansion of 1/2 in x 7.505 * [backup-simplify]: Simplify 1/2 into 1/2 7.505 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.505 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.505 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.505 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.505 * [taylor]: Taking taylor expansion of 1 in x 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of 1 in x 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.505 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.505 * [taylor]: Taking taylor expansion of -1 in x 7.505 * [backup-simplify]: Simplify -1 into -1 7.505 * [taylor]: Taking taylor expansion of x in x 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify (/ -1 1) into -1 7.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.506 * [taylor]: Taking taylor expansion of -1 in x 7.506 * [backup-simplify]: Simplify -1 into -1 7.506 * [taylor]: Taking taylor expansion of x in x 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify 1 into 1 7.506 * [backup-simplify]: Simplify (/ -1 1) into -1 7.506 * [backup-simplify]: Simplify (* -1 -1) into 1 7.507 * [backup-simplify]: Simplify (+ 0 1) into 1 7.507 * [backup-simplify]: Simplify (sqrt 1) into 1 7.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.508 * [backup-simplify]: Simplify (+ 0 0) into 0 7.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.509 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.509 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 7.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 7.509 * [taylor]: Taking taylor expansion of 1/2 in x 7.509 * [backup-simplify]: Simplify 1/2 into 1/2 7.509 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 7.509 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.509 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.509 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.509 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.509 * [taylor]: Taking taylor expansion of 1 in x 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [taylor]: Taking taylor expansion of 1 in x 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.509 * [taylor]: Taking taylor expansion of -1 in x 7.509 * [backup-simplify]: Simplify -1 into -1 7.509 * [taylor]: Taking taylor expansion of x in x 7.509 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (/ -1 1) into -1 7.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.510 * [taylor]: Taking taylor expansion of -1 in x 7.510 * [backup-simplify]: Simplify -1 into -1 7.510 * [taylor]: Taking taylor expansion of x in x 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (/ -1 1) into -1 7.510 * [backup-simplify]: Simplify (* -1 -1) into 1 7.511 * [backup-simplify]: Simplify (+ 0 1) into 1 7.511 * [backup-simplify]: Simplify (sqrt 1) into 1 7.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.512 * [backup-simplify]: Simplify (+ 0 0) into 0 7.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.513 * [backup-simplify]: Simplify (/ 1 1) into 1 7.513 * [taylor]: Taking taylor expansion of 1/2 in x 7.513 * [backup-simplify]: Simplify 1/2 into 1/2 7.513 * [taylor]: Taking taylor expansion of 1/4 in x 7.513 * [backup-simplify]: Simplify 1/4 into 1/4 7.513 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.514 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 7.514 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 7.514 * [taylor]: Taking taylor expansion of (/ (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) (fma (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 1/4)) in x 7.514 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 7.514 * [taylor]: Taking taylor expansion of 1/8 in x 7.514 * [backup-simplify]: Simplify 1/8 into 1/8 7.514 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 7.514 * [taylor]: Taking taylor expansion of 1/8 in x 7.514 * [backup-simplify]: Simplify 1/8 into 1/8 7.514 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 7.514 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.514 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.514 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.514 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.514 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.514 * [taylor]: Taking taylor expansion of 1 in x 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [taylor]: Taking taylor expansion of 1 in x 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.514 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.514 * [taylor]: Taking taylor expansion of -1 in x 7.514 * [backup-simplify]: Simplify -1 into -1 7.514 * [taylor]: Taking taylor expansion of x in x 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.515 * [backup-simplify]: Simplify (/ -1 1) into -1 7.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.515 * [taylor]: Taking taylor expansion of -1 in x 7.515 * [backup-simplify]: Simplify -1 into -1 7.515 * [taylor]: Taking taylor expansion of x in x 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 1 into 1 7.515 * [backup-simplify]: Simplify (/ -1 1) into -1 7.515 * [backup-simplify]: Simplify (* -1 -1) into 1 7.516 * [backup-simplify]: Simplify (+ 0 1) into 1 7.516 * [backup-simplify]: Simplify (sqrt 1) into 1 7.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.518 * [backup-simplify]: Simplify (* 1 1) into 1 7.518 * [backup-simplify]: Simplify (* 1 1) into 1 7.519 * [backup-simplify]: Simplify (/ 1 1) into 1 7.519 * [taylor]: Taking taylor expansion of (fma (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) 1/4) in x 7.519 * [taylor]: Rewrote expression to (+ (* (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1/4) 7.519 * [taylor]: Taking taylor expansion of (* (/ 1/2 (hypot 1 (/ -1 x))) (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 7.519 * [taylor]: Taking taylor expansion of (/ 1/2 (hypot 1 (/ -1 x))) in x 7.519 * [taylor]: Taking taylor expansion of 1/2 in x 7.519 * [backup-simplify]: Simplify 1/2 into 1/2 7.519 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.519 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.519 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.519 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.519 * [taylor]: Taking taylor expansion of 1 in x 7.519 * [backup-simplify]: Simplify 1 into 1 7.519 * [taylor]: Taking taylor expansion of 1 in x 7.519 * [backup-simplify]: Simplify 1 into 1 7.519 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.519 * [taylor]: Taking taylor expansion of -1 in x 7.519 * [backup-simplify]: Simplify -1 into -1 7.519 * [taylor]: Taking taylor expansion of x in x 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 1 into 1 7.519 * [backup-simplify]: Simplify (/ -1 1) into -1 7.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.519 * [taylor]: Taking taylor expansion of -1 in x 7.519 * [backup-simplify]: Simplify -1 into -1 7.519 * [taylor]: Taking taylor expansion of x in x 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 1 into 1 7.520 * [backup-simplify]: Simplify (/ -1 1) into -1 7.520 * [backup-simplify]: Simplify (* -1 -1) into 1 7.520 * [backup-simplify]: Simplify (+ 0 1) into 1 7.520 * [backup-simplify]: Simplify (sqrt 1) into 1 7.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.523 * [backup-simplify]: Simplify (+ 0 0) into 0 7.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.524 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.524 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 7.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 7.524 * [taylor]: Taking taylor expansion of 1/2 in x 7.524 * [backup-simplify]: Simplify 1/2 into 1/2 7.524 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 7.524 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.524 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.524 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.524 * [taylor]: Taking taylor expansion of 1 in x 7.524 * [backup-simplify]: Simplify 1 into 1 7.524 * [taylor]: Taking taylor expansion of 1 in x 7.524 * [backup-simplify]: Simplify 1 into 1 7.524 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.524 * [taylor]: Taking taylor expansion of -1 in x 7.524 * [backup-simplify]: Simplify -1 into -1 7.524 * [taylor]: Taking taylor expansion of x in x 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify 1 into 1 7.525 * [backup-simplify]: Simplify (/ -1 1) into -1 7.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.525 * [taylor]: Taking taylor expansion of -1 in x 7.525 * [backup-simplify]: Simplify -1 into -1 7.525 * [taylor]: Taking taylor expansion of x in x 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify 1 into 1 7.526 * [backup-simplify]: Simplify (/ -1 1) into -1 7.526 * [backup-simplify]: Simplify (* -1 -1) into 1 7.526 * [backup-simplify]: Simplify (+ 0 1) into 1 7.527 * [backup-simplify]: Simplify (sqrt 1) into 1 7.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.529 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.530 * [backup-simplify]: Simplify (+ 0 0) into 0 7.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.531 * [backup-simplify]: Simplify (/ 1 1) into 1 7.531 * [taylor]: Taking taylor expansion of 1/2 in x 7.531 * [backup-simplify]: Simplify 1/2 into 1/2 7.531 * [taylor]: Taking taylor expansion of 1/4 in x 7.531 * [backup-simplify]: Simplify 1/4 into 1/4 7.531 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.532 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 7.532 * [backup-simplify]: Simplify (/ 1/8 1/4) into 1/2 7.532 * [backup-simplify]: Simplify 1/2 into 1/2 7.533 * [backup-simplify]: Simplify (+ 0 0) into 0 7.533 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.534 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 7.534 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 7.535 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)))) into -1/2 7.535 * [backup-simplify]: Simplify -1/2 into -1/2 7.535 * [backup-simplify]: Simplify (+ 0 0) into 0 7.536 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.536 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (+ (* 1/2 1/2) (* 0 1/2)) into 1/4 7.539 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 7.540 * [backup-simplify]: Simplify (- (/ 0 1/4) (+ (* 1/2 (/ 1/4 1/4)) (* -1/2 (/ 1/4 1/4)))) into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.541 * [backup-simplify]: Simplify (- 1/8) into -1/8 7.541 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 7.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.543 * [backup-simplify]: Simplify (+ 0 0) into 0 7.543 * [backup-simplify]: Simplify (* 1 1) into 1 7.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.547 * [backup-simplify]: Simplify (+ 1 0) into 1 7.548 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/4 7.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (* -1/4 1/2))) into -1/8 7.550 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 7.551 * [backup-simplify]: Simplify (- (/ -1/8 1/4) (+ (* 1/2 (/ -1/8 1/4)) (* -1/2 (/ 1/4 1/4)) (* 0 (/ 1/4 1/4)))) into 1/4 7.551 * [backup-simplify]: Simplify 1/4 into 1/4 7.552 * [backup-simplify]: Simplify (+ (* 1/4 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) 1/2)) into (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) 7.552 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 7.552 * [backup-simplify]: Simplify (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)) into (pow (hypot 1 x) 3) 7.552 * [approximate]: Taking taylor expansion of (pow (hypot 1 x) 3) in (x) around 0 7.552 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.552 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.552 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.552 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.552 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.552 * [taylor]: Taking taylor expansion of 1 in x 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of 1 in x 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of (* x x) in x 7.552 * [taylor]: Taking taylor expansion of x in x 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [taylor]: Taking taylor expansion of x in x 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (* 1 1) into 1 7.553 * [backup-simplify]: Simplify (* 0 0) into 0 7.554 * [backup-simplify]: Simplify (+ 1 0) into 1 7.554 * [backup-simplify]: Simplify (sqrt 1) into 1 7.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.556 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.556 * [backup-simplify]: Simplify (+ 0 0) into 0 7.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.557 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 7.557 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 7.557 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 7.557 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 7.557 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.557 * [taylor]: Taking taylor expansion of 1 in x 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [taylor]: Taking taylor expansion of 1 in x 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [taylor]: Taking taylor expansion of (* x x) in x 7.557 * [taylor]: Taking taylor expansion of x in x 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [taylor]: Taking taylor expansion of x in x 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 1 into 1 7.558 * [backup-simplify]: Simplify (* 1 1) into 1 7.558 * [backup-simplify]: Simplify (* 0 0) into 0 7.559 * [backup-simplify]: Simplify (+ 1 0) into 1 7.559 * [backup-simplify]: Simplify (sqrt 1) into 1 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.561 * [backup-simplify]: Simplify (+ 0 0) into 0 7.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.562 * [backup-simplify]: Simplify (* 1 1) into 1 7.562 * [backup-simplify]: Simplify (* 1 1) into 1 7.562 * [backup-simplify]: Simplify 1 into 1 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.564 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.566 * [backup-simplify]: Simplify (+ 0 1) into 1 7.567 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.568 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.569 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.569 * [backup-simplify]: Simplify 3/2 into 3/2 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.571 * [backup-simplify]: Simplify (+ 0 0) into 0 7.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.575 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.578 * [backup-simplify]: Simplify (+ 0 0) into 0 7.579 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.581 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.582 * [backup-simplify]: Simplify 3/8 into 3/8 7.583 * [backup-simplify]: Simplify (+ (* 3/8 (pow x 4)) (+ (* 3/2 (pow x 2)) 1)) into (+ (* 3/2 (pow x 2)) (+ (* 3/8 (pow x 4)) 1)) 7.583 * [backup-simplify]: Simplify (* (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x))) (hypot 1 (/ 1 x))) into (pow (hypot 1 (/ 1 x)) 3) 7.583 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in (x) around 0 7.583 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.583 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.583 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.583 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.583 * [taylor]: Taking taylor expansion of 1 in x 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [taylor]: Taking taylor expansion of 1 in x 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.583 * [taylor]: Taking taylor expansion of x in x 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.584 * [backup-simplify]: Simplify (/ 1 1) into 1 7.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.584 * [taylor]: Taking taylor expansion of x in x 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 1 into 1 7.584 * [backup-simplify]: Simplify (/ 1 1) into 1 7.585 * [backup-simplify]: Simplify (* 1 1) into 1 7.585 * [backup-simplify]: Simplify (+ 0 1) into 1 7.586 * [backup-simplify]: Simplify (sqrt 1) into 1 7.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.588 * [backup-simplify]: Simplify (+ 0 0) into 0 7.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.589 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 7.589 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 7.589 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 7.589 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 7.589 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.589 * [taylor]: Taking taylor expansion of 1 in x 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * [taylor]: Taking taylor expansion of 1 in x 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 7.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.589 * [taylor]: Taking taylor expansion of x in x 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (/ 1 1) into 1 7.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.590 * [taylor]: Taking taylor expansion of x in x 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (/ 1 1) into 1 7.591 * [backup-simplify]: Simplify (* 1 1) into 1 7.591 * [backup-simplify]: Simplify (+ 0 1) into 1 7.592 * [backup-simplify]: Simplify (sqrt 1) into 1 7.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.594 * [backup-simplify]: Simplify (+ 0 0) into 0 7.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.595 * [backup-simplify]: Simplify (* 1 1) into 1 7.596 * [backup-simplify]: Simplify (* 1 1) into 1 7.596 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify (* 1 1) into 1 7.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.601 * [backup-simplify]: Simplify (+ 1 0) into 1 7.602 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.603 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.604 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.604 * [backup-simplify]: Simplify 3/2 into 3/2 7.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.608 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.612 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.616 * [backup-simplify]: Simplify (+ 0 0) into 0 7.618 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.619 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.621 * [backup-simplify]: Simplify 3/8 into 3/8 7.621 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 x)) (+ (* 3/2 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 3)))) into (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x)))) 7.622 * [backup-simplify]: Simplify (* (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x)))) (hypot 1 (/ 1 (- x)))) into (pow (hypot 1 (/ -1 x)) 3) 7.622 * [approximate]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in (x) around 0 7.622 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.622 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.622 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.622 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.622 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.622 * [taylor]: Taking taylor expansion of 1 in x 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [taylor]: Taking taylor expansion of 1 in x 7.622 * [backup-simplify]: Simplify 1 into 1 7.622 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.622 * [taylor]: Taking taylor expansion of -1 in x 7.622 * [backup-simplify]: Simplify -1 into -1 7.622 * [taylor]: Taking taylor expansion of x in x 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (/ -1 1) into -1 7.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.623 * [taylor]: Taking taylor expansion of -1 in x 7.623 * [backup-simplify]: Simplify -1 into -1 7.623 * [taylor]: Taking taylor expansion of x in x 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (/ -1 1) into -1 7.624 * [backup-simplify]: Simplify (* -1 -1) into 1 7.624 * [backup-simplify]: Simplify (+ 0 1) into 1 7.624 * [backup-simplify]: Simplify (sqrt 1) into 1 7.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.627 * [backup-simplify]: Simplify (+ 0 0) into 0 7.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.628 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 7.628 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 7.628 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 7.628 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 7.628 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.628 * [taylor]: Taking taylor expansion of 1 in x 7.628 * [backup-simplify]: Simplify 1 into 1 7.628 * [taylor]: Taking taylor expansion of 1 in x 7.628 * [backup-simplify]: Simplify 1 into 1 7.628 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 7.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.628 * [taylor]: Taking taylor expansion of -1 in x 7.628 * [backup-simplify]: Simplify -1 into -1 7.628 * [taylor]: Taking taylor expansion of x in x 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify 1 into 1 7.629 * [backup-simplify]: Simplify (/ -1 1) into -1 7.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.629 * [taylor]: Taking taylor expansion of -1 in x 7.629 * [backup-simplify]: Simplify -1 into -1 7.629 * [taylor]: Taking taylor expansion of x in x 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 1 into 1 7.631 * [backup-simplify]: Simplify (/ -1 1) into -1 7.632 * [backup-simplify]: Simplify (* -1 -1) into 1 7.632 * [backup-simplify]: Simplify (+ 0 1) into 1 7.633 * [backup-simplify]: Simplify (sqrt 1) into 1 7.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.635 * [backup-simplify]: Simplify (+ 0 0) into 0 7.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.636 * [backup-simplify]: Simplify (* 1 1) into 1 7.637 * [backup-simplify]: Simplify (* 1 1) into 1 7.637 * [backup-simplify]: Simplify 1 into 1 7.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.638 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify (* 1 1) into 1 7.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.641 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.642 * [backup-simplify]: Simplify (+ 1 0) into 1 7.643 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 7.644 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 7.645 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 7.645 * [backup-simplify]: Simplify 3/2 into 3/2 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.649 * [backup-simplify]: Simplify (+ 0 0) into 0 7.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 7.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.654 * [backup-simplify]: Simplify (+ 0 0) into 0 7.654 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 7.655 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 7.656 * [backup-simplify]: Simplify 3/8 into 3/8 7.656 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (- x))) (+ (* 3/2 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 3)))) into (- (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x))))) 7.656 * * * [progress]: simplifying candidates 7.656 * * * * [progress]: [ 1 / 152 ] simplifiying candidate # 7.656 * * * * [progress]: [ 2 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 3 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 4 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 5 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 6 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 7 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 8 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 9 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 10 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 11 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 12 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 13 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 14 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 15 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 16 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 17 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 18 / 152 ] simplifiying candidate # 7.657 * * * * [progress]: [ 19 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 20 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 21 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 22 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 23 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 24 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 25 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 26 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 27 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 28 / 152 ] simplifiying candidate # 7.658 * * * * [progress]: [ 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* [progress]: [ 42 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 43 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 44 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 45 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 46 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 47 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 48 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 49 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 50 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 51 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 52 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 53 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 54 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 55 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 56 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 57 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 58 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 59 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 60 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 61 / 152 ] simplifiying candidate # 7.659 * * * * [progress]: [ 62 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 63 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 64 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 65 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 66 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 67 / 152 ] simplifiying candidate #real (real->posit16 (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 7.660 * * * * [progress]: [ 68 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 69 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 70 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 71 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 72 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 73 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 74 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 75 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 76 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 77 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 78 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 79 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 80 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 81 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 82 / 152 ] simplifiying candidate # 7.660 * * * * [progress]: [ 83 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 84 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 85 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 86 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 87 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 88 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 89 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 90 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 91 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 92 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 93 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 94 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 95 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 96 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 97 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 98 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 99 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 100 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 101 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 102 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 103 / 152 ] simplifiying candidate # 7.661 * * * * [progress]: [ 104 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 105 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 106 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 107 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 108 / 152 ] simplifiying candidate #real (real->posit16 (/ (- 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 7.662 * * * * [progress]: [ 109 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 110 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 111 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 112 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 113 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 114 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 115 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 116 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 117 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 118 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 119 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 120 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 121 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 122 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 123 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 124 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 125 / 152 ] simplifiying candidate # 7.662 * * * * [progress]: [ 126 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 127 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 128 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 129 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 130 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 131 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 132 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 133 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 134 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 135 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 136 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 137 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 138 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 139 / 152 ] simplifiying candidate #real (real->posit16 (* (* (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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 7.663 * * * * [progress]: [ 140 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 141 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 142 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 143 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 144 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 145 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 146 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 147 / 152 ] simplifiying candidate # 7.663 * * * * [progress]: [ 148 / 152 ] simplifiying candidate # 7.664 * * * * [progress]: [ 149 / 152 ] simplifiying candidate # 7.664 * * * * [progress]: [ 150 / 152 ] simplifiying candidate # 7.664 * * * * [progress]: [ 151 / 152 ] simplifiying candidate # 7.664 * * * * [progress]: [ 152 / 152 ] simplifiying candidate # 7.665 * [simplify]: Simplifying (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))), (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x))))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))), (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1)), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))), (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)), (fma (sqrt 1/8) (sqrt 1/8) (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))), (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma (sqrt 1/8) (sqrt 1/8) (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))), (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))))), (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))))), (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x))))), (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))), (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1)), (fma (sqrt 1/8) (sqrt 1/8) (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))), (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)), (fma 1 1/8 (- (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))))), (fma (- (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (cbrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma 1 1/8 (- (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))))), (fma (- (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (* (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) (sqrt (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))))), (fma 1 1/8 (- (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ (cbrt 1/8) (hypot 1 x))) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))) (* (/ (cbrt 1/8) (hypot 1 x)) (/ (* (cbrt 1/8) (cbrt 1/8)) (* (hypot 1 x) (hypot 1 x))))), (fma 1 1/8 (- (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ (sqrt 1/8) (hypot 1 x))) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))) (* (/ (sqrt 1/8) (hypot 1 x)) (/ (sqrt 1/8) (* (hypot 1 x) (hypot 1 x))))), (fma 1 1/8 (- (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x)))))), (fma (- (/ 1/8 (hypot 1 x))) (/ 1 (* (hypot 1 x) (hypot 1 x))) (* (/ 1/8 (hypot 1 x)) (/ 1 (* (hypot 1 x) (hypot 1 x))))), (fma 1 1/8 (- (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1))), (fma (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1 (* (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1)), (fma 1 1/8 (- (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8))), (fma (- (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))) 1/8 (* (/ 1 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) 1/8)), (expm1 (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))), (log1p (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))), (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))), (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))), (- (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))), (/ (exp 1/8) (exp (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))), (log (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))), (exp (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))), (* (cbrt (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))) (cbrt (- 1/8 (/ 1/8 (* (* (hypot 1 x) (hypot 1 x)) (hypot 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2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))), (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))), (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))), (- (+ (* 15/64 (pow x 4)) 1/8) (* 3/16 (pow x 2))), (- (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3)))) (* 3/16 (/ 1 (pow x 5)))), (- (* 3/16 (/ 1 (pow x 5))) (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3))))), (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))), (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))), (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))), (+ (* 3/2 (pow x 2)) (+ (* 3/8 (pow x 4)) 1)), (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x)))), (- (+ (* 3/2 x) (+ (pow x 3) (* 3/8 (/ 1 x))))) 7.669 * * [simplify]: iteration 1: (266 enodes) 7.803 * * [simplify]: iteration 2: (1133 enodes) 8.258 * * [simplify]: Extracting #0: cost 114 inf + 0 8.261 * * [simplify]: Extracting #1: cost 556 inf + 3 8.269 * * [simplify]: Extracting #2: cost 819 inf + 18337 8.307 * * [simplify]: Extracting #3: cost 517 inf + 94868 8.360 * * [simplify]: Extracting #4: cost 303 inf + 138882 8.415 * * [simplify]: Extracting #5: cost 75 inf + 219147 8.491 * * [simplify]: Extracting #6: cost 3 inf + 249492 8.566 * * [simplify]: Extracting #7: cost 0 inf + 251197 8.645 * [simplify]: Simplified to (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (fma (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) -1 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))), (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (/ -1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (fma (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) -1 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))), (- (* (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8)) (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x)))), (* (* (/ (cbrt 1/8) (hypot 1 x)) (/ (cbrt 1/8) (hypot 1 x))) (+ (- (/ (cbrt 1/8) (hypot 1 x))) (/ (cbrt 1/8) (hypot 1 x)))), (fma (* (cbrt 1/8) (cbrt 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(hypot 1 x)) (+ (/ 1/2 (hypot 1 x)) 1/2) 1/4)), (real->posit16 (/ (- 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))), (expm1 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (log1p (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), 3, 3, 3, 3, (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))), (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))), 3, 3, 3, 3, (+ (log (hypot 1 x)) (+ (log (hypot 1 x)) (log (hypot 1 x)))), (+ (log (hypot 1 x)) (+ (log (hypot 1 x)) (log (hypot 1 x)))), (+ (log (hypot 1 x)) (+ (log (hypot 1 x)) (log (hypot 1 x)))), (exp (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (* (hypot 1 x) (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))), (* (hypot 1 x) (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))), (* (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (cbrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (* (hypot 1 x) (* (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))) (* (* (hypot 1 x) (hypot 1 x)) (* (hypot 1 x) (hypot 1 x))))), (* (fma x x 1) (* (fma x x 1) (fma x x 1))), (sqrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (sqrt (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (* (sqrt (hypot 1 x)) (hypot 1 x)), (* (sqrt (hypot 1 x)) (hypot 1 x)), (* (* (cbrt (hypot 1 x)) (hypot 1 x)) (* (cbrt (hypot 1 x)) (hypot 1 x))), (* (* (hypot 1 x) (hypot 1 x)) (sqrt (hypot 1 x))), (* (hypot 1 x) (hypot 1 x)), (* (hypot 1 x) (hypot 1 x)), (real->posit16 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))), (fma (* x x) 3/16 (fma (* (* (* x x) x) (* (* x x) x)) 35/128 (* (* (* x x) (* x x)) -15/64))), (+ (/ 3/16 (pow x 5)) (- 1/8 (/ 1/8 (* (* x x) x)))), (+ (+ 1/8 (/ 1/8 (* (* x x) x))) (/ -3/16 (pow x 5))), (fma 15/64 (* (* x x) (* x x)) (- 1/8 (* (* x x) 3/16))), (+ (- (/ 1/8 (* (* x x) x)) (/ 3/16 (pow x 5))) (/ 15/64 (pow x 7))), (- (/ 3/16 (pow x 5)) (+ (/ 1/8 (* (* x x) x)) (/ 15/64 (pow x 7)))), (fma (* x x) 1/4 (fma 5/32 (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) -3/16))), (- (+ (/ 1/4 (* (* x x) x)) 1/2) (/ 1/2 x)), (- (+ (/ 1/2 x) 1/2) (/ 1/4 (* (* x x) x))), (fma 3/2 (* x x) (fma (* (* x x) (* x x)) 3/8 1)), (fma 3/2 x (fma (* x x) x (/ 3/8 x))), (- (* x -3/2) (fma (* x x) x (/ 3/8 x))) 8.673 * * * [progress]: adding candidates to table 10.502 * * [progress]: iteration 4 / 4 10.502 * * * [progress]: picking best candidate 10.525 * * * * [pick]: Picked # 10.525 * * * [progress]: localizing error 10.593 * * * [progress]: generating rewritten candidates 10.593 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 10.633 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 10.651 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1) 10.663 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2) 10.697 * * * [progress]: generating series expansions 10.697 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 10.698 * [backup-simplify]: Simplify (log (exp (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) 10.698 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 10.698 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 10.698 * [taylor]: Taking taylor expansion of 1/8 in x 10.698 * [backup-simplify]: Simplify 1/8 into 1/8 10.698 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 10.698 * [taylor]: Taking taylor expansion of 1/8 in x 10.698 * [backup-simplify]: Simplify 1/8 into 1/8 10.698 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 10.698 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 10.698 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.698 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.698 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.698 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.698 * [taylor]: Taking taylor expansion of 1 in x 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [taylor]: Taking taylor expansion of 1 in x 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [taylor]: Taking taylor expansion of (* x x) in x 10.698 * [taylor]: Taking taylor expansion of x in x 10.698 * [backup-simplify]: Simplify 0 into 0 10.698 * [backup-simplify]: Simplify 1 into 1 10.698 * [taylor]: Taking taylor expansion of x in x 10.699 * [backup-simplify]: Simplify 0 into 0 10.699 * [backup-simplify]: Simplify 1 into 1 10.699 * [backup-simplify]: Simplify (* 1 1) into 1 10.700 * [backup-simplify]: Simplify (* 0 0) into 0 10.700 * [backup-simplify]: Simplify (+ 1 0) into 1 10.701 * [backup-simplify]: Simplify (sqrt 1) into 1 10.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.702 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.703 * [backup-simplify]: Simplify (+ 0 0) into 0 10.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.704 * [backup-simplify]: Simplify (* 1 1) into 1 10.704 * [backup-simplify]: Simplify (* 1 1) into 1 10.705 * [backup-simplify]: Simplify (/ 1 1) into 1 10.705 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 10.705 * [taylor]: Taking taylor expansion of 1/8 in x 10.705 * [backup-simplify]: Simplify 1/8 into 1/8 10.705 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 10.705 * [taylor]: Taking taylor expansion of 1/8 in x 10.705 * [backup-simplify]: Simplify 1/8 into 1/8 10.705 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 10.705 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 10.705 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.705 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.705 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.705 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.705 * [taylor]: Taking taylor expansion of 1 in x 10.705 * [backup-simplify]: Simplify 1 into 1 10.705 * [taylor]: Taking taylor expansion of 1 in x 10.705 * [backup-simplify]: Simplify 1 into 1 10.705 * [taylor]: Taking taylor expansion of (* x x) in x 10.705 * [taylor]: Taking taylor expansion of x in x 10.705 * [backup-simplify]: Simplify 0 into 0 10.705 * [backup-simplify]: Simplify 1 into 1 10.705 * [taylor]: Taking taylor expansion of x in x 10.705 * [backup-simplify]: Simplify 0 into 0 10.706 * [backup-simplify]: Simplify 1 into 1 10.706 * [backup-simplify]: Simplify (* 1 1) into 1 10.706 * [backup-simplify]: Simplify (* 0 0) into 0 10.707 * [backup-simplify]: Simplify (+ 1 0) into 1 10.707 * [backup-simplify]: Simplify (sqrt 1) into 1 10.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.709 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.709 * [backup-simplify]: Simplify (+ 0 0) into 0 10.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.710 * [backup-simplify]: Simplify (* 1 1) into 1 10.711 * [backup-simplify]: Simplify (* 1 1) into 1 10.711 * [backup-simplify]: Simplify (/ 1 1) into 1 10.711 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 10.712 * [backup-simplify]: Simplify (- 1/8) into -1/8 10.712 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 10.712 * [backup-simplify]: Simplify 0 into 0 10.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.715 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 10.716 * [backup-simplify]: Simplify (- 0) into 0 10.716 * [backup-simplify]: Simplify (+ 0 0) into 0 10.716 * [backup-simplify]: Simplify 0 into 0 10.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.718 * [backup-simplify]: Simplify (+ 0 1) into 1 10.719 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.720 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 10.721 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 10.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 10.724 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 10.724 * [backup-simplify]: Simplify (- -3/16) into 3/16 10.724 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 10.724 * [backup-simplify]: Simplify 3/16 into 3/16 10.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.727 * [backup-simplify]: Simplify (+ 0 0) into 0 10.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 10.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 10.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 10.734 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 10.734 * [backup-simplify]: Simplify (- 0) into 0 10.735 * [backup-simplify]: Simplify (+ 0 0) into 0 10.735 * [backup-simplify]: Simplify 0 into 0 10.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.737 * [backup-simplify]: Simplify (+ 0 0) into 0 10.739 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.740 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 10.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 10.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 10.752 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 10.752 * [backup-simplify]: Simplify (- 15/64) into -15/64 10.753 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 10.753 * [backup-simplify]: Simplify -15/64 into -15/64 10.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.757 * [backup-simplify]: Simplify (+ 0 0) into 0 10.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 10.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 10.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 10.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 10.767 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 10.768 * [backup-simplify]: Simplify (- 0) into 0 10.768 * [backup-simplify]: Simplify (+ 0 0) into 0 10.768 * [backup-simplify]: Simplify 0 into 0 10.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.772 * [backup-simplify]: Simplify (+ 0 0) into 0 10.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 10.777 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 10.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 10.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 10.785 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 10.785 * [backup-simplify]: Simplify (- -35/128) into 35/128 10.786 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 10.786 * [backup-simplify]: Simplify 35/128 into 35/128 10.786 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 6)) (+ (* -15/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (+ (* 3/16 (pow x 2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))) 10.787 * [backup-simplify]: Simplify (log (exp (- 1/8 (/ (/ 1/8 (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))) (hypot 1 (/ 1 x)))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) 10.787 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 10.787 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 10.787 * [taylor]: Taking taylor expansion of 1/8 in x 10.787 * [backup-simplify]: Simplify 1/8 into 1/8 10.787 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 10.787 * [taylor]: Taking taylor expansion of 1/8 in x 10.787 * [backup-simplify]: Simplify 1/8 into 1/8 10.787 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 10.787 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 10.787 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.787 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.787 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.787 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.787 * [taylor]: Taking taylor expansion of 1 in x 10.787 * [backup-simplify]: Simplify 1 into 1 10.787 * [taylor]: Taking taylor expansion of 1 in x 10.787 * [backup-simplify]: Simplify 1 into 1 10.787 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.787 * [taylor]: Taking taylor expansion of x in x 10.787 * [backup-simplify]: Simplify 0 into 0 10.787 * [backup-simplify]: Simplify 1 into 1 10.788 * [backup-simplify]: Simplify (/ 1 1) into 1 10.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.788 * [taylor]: Taking taylor expansion of x in x 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify 1 into 1 10.788 * [backup-simplify]: Simplify (/ 1 1) into 1 10.789 * [backup-simplify]: Simplify (* 1 1) into 1 10.789 * [backup-simplify]: Simplify (+ 0 1) into 1 10.790 * [backup-simplify]: Simplify (sqrt 1) into 1 10.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.792 * [backup-simplify]: Simplify (+ 0 0) into 0 10.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.793 * [backup-simplify]: Simplify (* 1 1) into 1 10.794 * [backup-simplify]: Simplify (* 1 1) into 1 10.794 * [backup-simplify]: Simplify (/ 1 1) into 1 10.794 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 10.794 * [taylor]: Taking taylor expansion of 1/8 in x 10.794 * [backup-simplify]: Simplify 1/8 into 1/8 10.794 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 10.794 * [taylor]: Taking taylor expansion of 1/8 in x 10.794 * [backup-simplify]: Simplify 1/8 into 1/8 10.794 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 10.794 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 10.795 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.795 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.795 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.795 * [taylor]: Taking taylor expansion of 1 in x 10.795 * [backup-simplify]: Simplify 1 into 1 10.795 * [taylor]: Taking taylor expansion of 1 in x 10.795 * [backup-simplify]: Simplify 1 into 1 10.795 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.795 * [taylor]: Taking taylor expansion of x in x 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify 1 into 1 10.795 * [backup-simplify]: Simplify (/ 1 1) into 1 10.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.795 * [taylor]: Taking taylor expansion of x in x 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify 1 into 1 10.796 * [backup-simplify]: Simplify (/ 1 1) into 1 10.796 * [backup-simplify]: Simplify (* 1 1) into 1 10.797 * [backup-simplify]: Simplify (+ 0 1) into 1 10.797 * [backup-simplify]: Simplify (sqrt 1) into 1 10.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.800 * [backup-simplify]: Simplify (+ 0 0) into 0 10.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.801 * [backup-simplify]: Simplify (* 1 1) into 1 10.801 * [backup-simplify]: Simplify (* 1 1) into 1 10.802 * [backup-simplify]: Simplify (/ 1 1) into 1 10.802 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 10.802 * [backup-simplify]: Simplify 1/8 into 1/8 10.802 * [backup-simplify]: Simplify (+ 0 0) into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify (+ 0 0) into 0 10.803 * [backup-simplify]: Simplify 0 into 0 10.803 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 10.804 * [backup-simplify]: Simplify (- 1/8) into -1/8 10.804 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 10.804 * [backup-simplify]: Simplify -1/8 into -1/8 10.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.807 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 10.808 * [backup-simplify]: Simplify (- 0) into 0 10.808 * [backup-simplify]: Simplify (+ 0 0) into 0 10.808 * [backup-simplify]: Simplify 0 into 0 10.808 * [backup-simplify]: Simplify (* 1 1) into 1 10.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.812 * [backup-simplify]: Simplify (+ 1 0) into 1 10.813 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.814 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 10.815 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 10.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 10.817 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 10.818 * [backup-simplify]: Simplify (- -3/16) into 3/16 10.818 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 10.818 * [backup-simplify]: Simplify 3/16 into 3/16 10.819 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/8 (pow (/ 1 x) 3)) 1/8)) into (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))) 10.819 * [backup-simplify]: Simplify (log (exp (- 1/8 (/ (/ 1/8 (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))) (hypot 1 (/ 1 (- x))))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) 10.819 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 10.819 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 10.819 * [taylor]: Taking taylor expansion of 1/8 in x 10.819 * [backup-simplify]: Simplify 1/8 into 1/8 10.819 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 10.819 * [taylor]: Taking taylor expansion of 1/8 in x 10.819 * [backup-simplify]: Simplify 1/8 into 1/8 10.819 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 10.819 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 10.819 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.819 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.819 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.819 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.819 * [taylor]: Taking taylor expansion of 1 in x 10.819 * [backup-simplify]: Simplify 1 into 1 10.819 * [taylor]: Taking taylor expansion of 1 in x 10.819 * [backup-simplify]: Simplify 1 into 1 10.819 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.820 * [taylor]: Taking taylor expansion of -1 in x 10.820 * [backup-simplify]: Simplify -1 into -1 10.820 * [taylor]: Taking taylor expansion of x in x 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 1 into 1 10.820 * [backup-simplify]: Simplify (/ -1 1) into -1 10.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.820 * [taylor]: Taking taylor expansion of -1 in x 10.820 * [backup-simplify]: Simplify -1 into -1 10.820 * [taylor]: Taking taylor expansion of x in x 10.820 * [backup-simplify]: Simplify 0 into 0 10.820 * [backup-simplify]: Simplify 1 into 1 10.821 * [backup-simplify]: Simplify (/ -1 1) into -1 10.821 * [backup-simplify]: Simplify (* -1 -1) into 1 10.822 * [backup-simplify]: Simplify (+ 0 1) into 1 10.822 * [backup-simplify]: Simplify (sqrt 1) into 1 10.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.824 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.825 * [backup-simplify]: Simplify (+ 0 0) into 0 10.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.826 * [backup-simplify]: Simplify (* 1 1) into 1 10.826 * [backup-simplify]: Simplify (* 1 1) into 1 10.827 * [backup-simplify]: Simplify (/ 1 1) into 1 10.827 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 10.827 * [taylor]: Taking taylor expansion of 1/8 in x 10.827 * [backup-simplify]: Simplify 1/8 into 1/8 10.827 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 10.827 * [taylor]: Taking taylor expansion of 1/8 in x 10.827 * [backup-simplify]: Simplify 1/8 into 1/8 10.827 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 10.827 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 10.827 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.827 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.827 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.827 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.827 * [taylor]: Taking taylor expansion of 1 in x 10.827 * [backup-simplify]: Simplify 1 into 1 10.827 * [taylor]: Taking taylor expansion of 1 in x 10.827 * [backup-simplify]: Simplify 1 into 1 10.827 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.827 * [taylor]: Taking taylor expansion of -1 in x 10.827 * [backup-simplify]: Simplify -1 into -1 10.827 * [taylor]: Taking taylor expansion of x in x 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [backup-simplify]: Simplify 1 into 1 10.828 * [backup-simplify]: Simplify (/ -1 1) into -1 10.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.828 * [taylor]: Taking taylor expansion of -1 in x 10.828 * [backup-simplify]: Simplify -1 into -1 10.828 * [taylor]: Taking taylor expansion of x in x 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify 1 into 1 10.828 * [backup-simplify]: Simplify (/ -1 1) into -1 10.829 * [backup-simplify]: Simplify (* -1 -1) into 1 10.829 * [backup-simplify]: Simplify (+ 0 1) into 1 10.829 * [backup-simplify]: Simplify (sqrt 1) into 1 10.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.831 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.831 * [backup-simplify]: Simplify (+ 0 0) into 0 10.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.832 * [backup-simplify]: Simplify (* 1 1) into 1 10.832 * [backup-simplify]: Simplify (* 1 1) into 1 10.832 * [backup-simplify]: Simplify (/ 1 1) into 1 10.832 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 10.832 * [backup-simplify]: Simplify 1/8 into 1/8 10.833 * [backup-simplify]: Simplify (+ 0 0) into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify (+ 0 0) into 0 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 10.834 * [backup-simplify]: Simplify (- 1/8) into -1/8 10.834 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 10.834 * [backup-simplify]: Simplify -1/8 into -1/8 10.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.836 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 10.836 * [backup-simplify]: Simplify (- 0) into 0 10.836 * [backup-simplify]: Simplify (+ 0 0) into 0 10.836 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify (* 1 1) into 1 10.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.839 * [backup-simplify]: Simplify (+ 1 0) into 1 10.839 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.840 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 10.840 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 10.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 10.842 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 10.842 * [backup-simplify]: Simplify (- -3/16) into 3/16 10.842 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 10.842 * [backup-simplify]: Simplify 3/16 into 3/16 10.842 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) 1/8)) into (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))) 10.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 10.843 * [backup-simplify]: Simplify (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) 10.843 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in (x) around 0 10.843 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 10.843 * [taylor]: Taking taylor expansion of 1/8 in x 10.843 * [backup-simplify]: Simplify 1/8 into 1/8 10.843 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 10.843 * [taylor]: Taking taylor expansion of 1/8 in x 10.843 * [backup-simplify]: Simplify 1/8 into 1/8 10.843 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 10.843 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 10.843 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.843 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.843 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.843 * [taylor]: Taking taylor expansion of 1 in x 10.843 * [backup-simplify]: Simplify 1 into 1 10.843 * [taylor]: Taking taylor expansion of 1 in x 10.843 * [backup-simplify]: Simplify 1 into 1 10.843 * [taylor]: Taking taylor expansion of (* x x) in x 10.843 * [taylor]: Taking taylor expansion of x in x 10.843 * [backup-simplify]: Simplify 0 into 0 10.843 * [backup-simplify]: Simplify 1 into 1 10.843 * [taylor]: Taking taylor expansion of x in x 10.843 * [backup-simplify]: Simplify 0 into 0 10.843 * [backup-simplify]: Simplify 1 into 1 10.843 * [backup-simplify]: Simplify (* 1 1) into 1 10.843 * [backup-simplify]: Simplify (* 0 0) into 0 10.844 * [backup-simplify]: Simplify (+ 1 0) into 1 10.844 * [backup-simplify]: Simplify (sqrt 1) into 1 10.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.845 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.845 * [backup-simplify]: Simplify (+ 0 0) into 0 10.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.846 * [backup-simplify]: Simplify (* 1 1) into 1 10.846 * [backup-simplify]: Simplify (* 1 1) into 1 10.846 * [backup-simplify]: Simplify (/ 1 1) into 1 10.846 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 x) 3)))) in x 10.846 * [taylor]: Taking taylor expansion of 1/8 in x 10.846 * [backup-simplify]: Simplify 1/8 into 1/8 10.846 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 x) 3))) in x 10.846 * [taylor]: Taking taylor expansion of 1/8 in x 10.846 * [backup-simplify]: Simplify 1/8 into 1/8 10.846 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 x) 3)) in x 10.846 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 10.846 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.846 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.846 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.846 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.846 * [taylor]: Taking taylor expansion of 1 in x 10.846 * [backup-simplify]: Simplify 1 into 1 10.846 * [taylor]: Taking taylor expansion of 1 in x 10.846 * [backup-simplify]: Simplify 1 into 1 10.846 * [taylor]: Taking taylor expansion of (* x x) in x 10.846 * [taylor]: Taking taylor expansion of x in x 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 1 into 1 10.846 * [taylor]: Taking taylor expansion of x in x 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify 1 into 1 10.847 * [backup-simplify]: Simplify (* 1 1) into 1 10.847 * [backup-simplify]: Simplify (* 0 0) into 0 10.847 * [backup-simplify]: Simplify (+ 1 0) into 1 10.847 * [backup-simplify]: Simplify (sqrt 1) into 1 10.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.848 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.849 * [backup-simplify]: Simplify (+ 0 0) into 0 10.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.849 * [backup-simplify]: Simplify (* 1 1) into 1 10.850 * [backup-simplify]: Simplify (* 1 1) into 1 10.850 * [backup-simplify]: Simplify (/ 1 1) into 1 10.850 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 10.850 * [backup-simplify]: Simplify (- 1/8) into -1/8 10.851 * [backup-simplify]: Simplify (+ 1/8 -1/8) into 0 10.851 * [backup-simplify]: Simplify 0 into 0 10.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.852 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 10.853 * [backup-simplify]: Simplify (- 0) into 0 10.854 * [backup-simplify]: Simplify (+ 0 0) into 0 10.854 * [backup-simplify]: Simplify 0 into 0 10.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.855 * [backup-simplify]: Simplify (+ 0 1) into 1 10.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.856 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 10.857 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 10.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 10.859 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 10.859 * [backup-simplify]: Simplify (- -3/16) into 3/16 10.860 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 10.860 * [backup-simplify]: Simplify 3/16 into 3/16 10.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.862 * [backup-simplify]: Simplify (+ 0 0) into 0 10.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 10.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 10.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/2 (/ 0 1)))) into 0 10.870 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 10.870 * [backup-simplify]: Simplify (- 0) into 0 10.870 * [backup-simplify]: Simplify (+ 0 0) into 0 10.870 * [backup-simplify]: Simplify 0 into 0 10.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.873 * [backup-simplify]: Simplify (+ 0 0) into 0 10.874 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.876 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 10.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 10.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/8 10.885 * [backup-simplify]: Simplify (+ (* 1/8 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into 15/64 10.885 * [backup-simplify]: Simplify (- 15/64) into -15/64 10.886 * [backup-simplify]: Simplify (+ 0 -15/64) into -15/64 10.886 * [backup-simplify]: Simplify -15/64 into -15/64 10.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.888 * [backup-simplify]: Simplify (+ 0 0) into 0 10.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0 10.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* 1/2 0) (+ (* 0 1/2) (+ (* -1/8 0) (* 0 1)))))) into 0 10.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (+ (* -1/8 0) (* 0 1)))))) into 0 10.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 3/8 1)) (* -3/2 (/ 0 1)) (* 0 (/ 3/2 1)) (* 15/8 (/ 0 1)))) into 0 10.893 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))))) into 0 10.893 * [backup-simplify]: Simplify (- 0) into 0 10.894 * [backup-simplify]: Simplify (+ 0 0) into 0 10.894 * [backup-simplify]: Simplify 0 into 0 10.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 10.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.896 * [backup-simplify]: Simplify (+ 0 0) into 0 10.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 10.898 * [backup-simplify]: Simplify (+ (* 1 1/16) (+ (* 0 0) (+ (* 1/2 -1/8) (+ (* 0 0) (+ (* -1/8 1/2) (+ (* 0 0) (* 1/16 1))))))) into 0 10.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* -1/8 1) (+ (* 0 0) (* 1/16 1))))))) into -1/16 10.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/16 1)) (* 0 (/ 0 1)) (* -3/2 (/ 3/8 1)) (* 0 (/ 0 1)) (* 15/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -35/16 10.902 * [backup-simplify]: Simplify (+ (* 1/8 -35/16) (+ (* 0 0) (+ (* 0 15/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))))) into -35/128 10.902 * [backup-simplify]: Simplify (- -35/128) into 35/128 10.902 * [backup-simplify]: Simplify (+ 0 35/128) into 35/128 10.902 * [backup-simplify]: Simplify 35/128 into 35/128 10.903 * [backup-simplify]: Simplify (+ (* 35/128 (pow x 6)) (+ (* -15/64 (pow x 4)) (* 3/16 (pow x 2)))) into (- (+ (* 3/16 (pow x 2)) (* 35/128 (pow x 6))) (* 15/64 (pow x 4))) 10.903 * [backup-simplify]: Simplify (- 1/8 (/ (/ 1/8 (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))) (hypot 1 (/ 1 x)))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) 10.903 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in (x) around 0 10.903 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 10.903 * [taylor]: Taking taylor expansion of 1/8 in x 10.903 * [backup-simplify]: Simplify 1/8 into 1/8 10.903 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 10.903 * [taylor]: Taking taylor expansion of 1/8 in x 10.903 * [backup-simplify]: Simplify 1/8 into 1/8 10.903 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 10.903 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 10.903 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.903 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.903 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.903 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.903 * [taylor]: Taking taylor expansion of 1 in x 10.903 * [backup-simplify]: Simplify 1 into 1 10.903 * [taylor]: Taking taylor expansion of 1 in x 10.903 * [backup-simplify]: Simplify 1 into 1 10.903 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.903 * [taylor]: Taking taylor expansion of x in x 10.903 * [backup-simplify]: Simplify 0 into 0 10.903 * [backup-simplify]: Simplify 1 into 1 10.903 * [backup-simplify]: Simplify (/ 1 1) into 1 10.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.903 * [taylor]: Taking taylor expansion of x in x 10.903 * [backup-simplify]: Simplify 0 into 0 10.903 * [backup-simplify]: Simplify 1 into 1 10.904 * [backup-simplify]: Simplify (/ 1 1) into 1 10.904 * [backup-simplify]: Simplify (* 1 1) into 1 10.904 * [backup-simplify]: Simplify (+ 0 1) into 1 10.904 * [backup-simplify]: Simplify (sqrt 1) into 1 10.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.906 * [backup-simplify]: Simplify (+ 0 0) into 0 10.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.907 * [backup-simplify]: Simplify (* 1 1) into 1 10.907 * [backup-simplify]: Simplify (* 1 1) into 1 10.907 * [backup-simplify]: Simplify (/ 1 1) into 1 10.907 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3)))) in x 10.907 * [taylor]: Taking taylor expansion of 1/8 in x 10.907 * [backup-simplify]: Simplify 1/8 into 1/8 10.907 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ 1 x)) 3))) in x 10.907 * [taylor]: Taking taylor expansion of 1/8 in x 10.907 * [backup-simplify]: Simplify 1/8 into 1/8 10.907 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ 1 x)) 3)) in x 10.908 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 10.908 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.908 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.908 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.908 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.908 * [taylor]: Taking taylor expansion of 1 in x 10.908 * [backup-simplify]: Simplify 1 into 1 10.908 * [taylor]: Taking taylor expansion of 1 in x 10.908 * [backup-simplify]: Simplify 1 into 1 10.908 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.908 * [taylor]: Taking taylor expansion of x in x 10.908 * [backup-simplify]: Simplify 0 into 0 10.908 * [backup-simplify]: Simplify 1 into 1 10.908 * [backup-simplify]: Simplify (/ 1 1) into 1 10.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.908 * [taylor]: Taking taylor expansion of x in x 10.908 * [backup-simplify]: Simplify 0 into 0 10.908 * [backup-simplify]: Simplify 1 into 1 10.908 * [backup-simplify]: Simplify (/ 1 1) into 1 10.909 * [backup-simplify]: Simplify (* 1 1) into 1 10.909 * [backup-simplify]: Simplify (+ 0 1) into 1 10.909 * [backup-simplify]: Simplify (sqrt 1) into 1 10.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.912 * [backup-simplify]: Simplify (+ 0 0) into 0 10.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.913 * [backup-simplify]: Simplify (* 1 1) into 1 10.913 * [backup-simplify]: Simplify (* 1 1) into 1 10.914 * [backup-simplify]: Simplify (/ 1 1) into 1 10.914 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 10.914 * [backup-simplify]: Simplify 1/8 into 1/8 10.915 * [backup-simplify]: Simplify (+ 0 0) into 0 10.915 * [backup-simplify]: Simplify 0 into 0 10.915 * [backup-simplify]: Simplify (+ 0 0) into 0 10.915 * [backup-simplify]: Simplify 0 into 0 10.915 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 10.916 * [backup-simplify]: Simplify (- 1/8) into -1/8 10.916 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 10.916 * [backup-simplify]: Simplify -1/8 into -1/8 10.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.919 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 10.920 * [backup-simplify]: Simplify (- 0) into 0 10.920 * [backup-simplify]: Simplify (+ 0 0) into 0 10.920 * [backup-simplify]: Simplify 0 into 0 10.921 * [backup-simplify]: Simplify (* 1 1) into 1 10.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.924 * [backup-simplify]: Simplify (+ 1 0) into 1 10.925 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.926 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 10.927 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 10.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 10.929 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 10.929 * [backup-simplify]: Simplify (- -3/16) into 3/16 10.930 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 10.930 * [backup-simplify]: Simplify 3/16 into 3/16 10.930 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 x) 5)) (+ (* -1/8 (pow (/ 1 x) 3)) 1/8)) into (- (+ (* 3/16 (/ 1 (pow x 5))) 1/8) (* 1/8 (/ 1 (pow x 3)))) 10.930 * [backup-simplify]: Simplify (- 1/8 (/ (/ 1/8 (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))) (hypot 1 (/ 1 (- x))))) into (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) 10.930 * [approximate]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in (x) around 0 10.930 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 10.930 * [taylor]: Taking taylor expansion of 1/8 in x 10.930 * [backup-simplify]: Simplify 1/8 into 1/8 10.930 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 10.930 * [taylor]: Taking taylor expansion of 1/8 in x 10.930 * [backup-simplify]: Simplify 1/8 into 1/8 10.930 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 10.930 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 10.931 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.931 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.931 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.931 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.931 * [taylor]: Taking taylor expansion of 1 in x 10.931 * [backup-simplify]: Simplify 1 into 1 10.931 * [taylor]: Taking taylor expansion of 1 in x 10.931 * [backup-simplify]: Simplify 1 into 1 10.931 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.931 * [taylor]: Taking taylor expansion of -1 in x 10.931 * [backup-simplify]: Simplify -1 into -1 10.931 * [taylor]: Taking taylor expansion of x in x 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify 1 into 1 10.931 * [backup-simplify]: Simplify (/ -1 1) into -1 10.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.931 * [taylor]: Taking taylor expansion of -1 in x 10.931 * [backup-simplify]: Simplify -1 into -1 10.931 * [taylor]: Taking taylor expansion of x in x 10.931 * [backup-simplify]: Simplify 0 into 0 10.931 * [backup-simplify]: Simplify 1 into 1 10.932 * [backup-simplify]: Simplify (/ -1 1) into -1 10.932 * [backup-simplify]: Simplify (* -1 -1) into 1 10.933 * [backup-simplify]: Simplify (+ 0 1) into 1 10.933 * [backup-simplify]: Simplify (sqrt 1) into 1 10.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.935 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.936 * [backup-simplify]: Simplify (+ 0 0) into 0 10.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.937 * [backup-simplify]: Simplify (* 1 1) into 1 10.937 * [backup-simplify]: Simplify (* 1 1) into 1 10.937 * [backup-simplify]: Simplify (/ 1 1) into 1 10.937 * [taylor]: Taking taylor expansion of (- 1/8 (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3)))) in x 10.938 * [taylor]: Taking taylor expansion of 1/8 in x 10.938 * [backup-simplify]: Simplify 1/8 into 1/8 10.938 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow (hypot 1 (/ -1 x)) 3))) in x 10.938 * [taylor]: Taking taylor expansion of 1/8 in x 10.938 * [backup-simplify]: Simplify 1/8 into 1/8 10.938 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1 (/ -1 x)) 3)) in x 10.938 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 10.938 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 10.938 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 10.938 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 10.938 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.938 * [taylor]: Taking taylor expansion of 1 in x 10.938 * [backup-simplify]: Simplify 1 into 1 10.938 * [taylor]: Taking taylor expansion of 1 in x 10.938 * [backup-simplify]: Simplify 1 into 1 10.938 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.938 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.938 * [taylor]: Taking taylor expansion of -1 in x 10.938 * [backup-simplify]: Simplify -1 into -1 10.938 * [taylor]: Taking taylor expansion of x in x 10.938 * [backup-simplify]: Simplify 0 into 0 10.938 * [backup-simplify]: Simplify 1 into 1 10.938 * [backup-simplify]: Simplify (/ -1 1) into -1 10.938 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.939 * [taylor]: Taking taylor expansion of -1 in x 10.939 * [backup-simplify]: Simplify -1 into -1 10.939 * [taylor]: Taking taylor expansion of x in x 10.939 * [backup-simplify]: Simplify 0 into 0 10.939 * [backup-simplify]: Simplify 1 into 1 10.939 * [backup-simplify]: Simplify (/ -1 1) into -1 10.939 * [backup-simplify]: Simplify (* -1 -1) into 1 10.940 * [backup-simplify]: Simplify (+ 0 1) into 1 10.940 * [backup-simplify]: Simplify (sqrt 1) into 1 10.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.942 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.943 * [backup-simplify]: Simplify (+ 0 0) into 0 10.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.944 * [backup-simplify]: Simplify (* 1 1) into 1 10.944 * [backup-simplify]: Simplify (* 1 1) into 1 10.945 * [backup-simplify]: Simplify (/ 1 1) into 1 10.945 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 10.945 * [backup-simplify]: Simplify 1/8 into 1/8 10.945 * [backup-simplify]: Simplify (+ 0 0) into 0 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify (+ 0 0) into 0 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 10.946 * [backup-simplify]: Simplify (- 1/8) into -1/8 10.947 * [backup-simplify]: Simplify (+ 0 -1/8) into -1/8 10.947 * [backup-simplify]: Simplify -1/8 into -1/8 10.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.948 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 10.949 * [backup-simplify]: Simplify (- 0) into 0 10.949 * [backup-simplify]: Simplify (+ 0 0) into 0 10.949 * [backup-simplify]: Simplify 0 into 0 10.949 * [backup-simplify]: Simplify (* 1 1) into 1 10.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.951 * [backup-simplify]: Simplify (+ 1 0) into 1 10.952 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.952 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 10.953 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 10.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/2 10.954 * [backup-simplify]: Simplify (+ (* 1/8 -3/2) (+ (* 0 0) (* 0 1))) into -3/16 10.954 * [backup-simplify]: Simplify (- -3/16) into 3/16 10.955 * [backup-simplify]: Simplify (+ 0 3/16) into 3/16 10.955 * [backup-simplify]: Simplify 3/16 into 3/16 10.955 * [backup-simplify]: Simplify (+ (* 3/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) 1/8)) into (- (+ (* 1/8 (/ 1 (pow x 3))) 1/8) (* 3/16 (/ 1 (pow x 5)))) 10.955 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1) 10.955 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 x) (hypot 1 x))) into (/ 1/8 (pow (hypot 1 x) 2)) 10.955 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 2)) in (x) around 0 10.955 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 2)) in x 10.955 * [taylor]: Taking taylor expansion of 1/8 in x 10.955 * [backup-simplify]: Simplify 1/8 into 1/8 10.955 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 10.955 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.955 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.955 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.955 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.955 * [taylor]: Taking taylor expansion of 1 in x 10.955 * [backup-simplify]: Simplify 1 into 1 10.955 * [taylor]: Taking taylor expansion of 1 in x 10.955 * [backup-simplify]: Simplify 1 into 1 10.955 * [taylor]: Taking taylor expansion of (* x x) in x 10.955 * [taylor]: Taking taylor expansion of x in x 10.955 * [backup-simplify]: Simplify 0 into 0 10.955 * [backup-simplify]: Simplify 1 into 1 10.955 * [taylor]: Taking taylor expansion of x in x 10.955 * [backup-simplify]: Simplify 0 into 0 10.955 * [backup-simplify]: Simplify 1 into 1 10.956 * [backup-simplify]: Simplify (* 1 1) into 1 10.956 * [backup-simplify]: Simplify (* 0 0) into 0 10.956 * [backup-simplify]: Simplify (+ 1 0) into 1 10.956 * [backup-simplify]: Simplify (sqrt 1) into 1 10.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.957 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.957 * [backup-simplify]: Simplify (+ 0 0) into 0 10.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.958 * [backup-simplify]: Simplify (* 1 1) into 1 10.958 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 10.958 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 2)) in x 10.958 * [taylor]: Taking taylor expansion of 1/8 in x 10.958 * [backup-simplify]: Simplify 1/8 into 1/8 10.958 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 2) in x 10.958 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 10.958 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 10.958 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 10.958 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.958 * [taylor]: Taking taylor expansion of 1 in x 10.959 * [backup-simplify]: Simplify 1 into 1 10.959 * [taylor]: Taking taylor expansion of 1 in x 10.959 * [backup-simplify]: Simplify 1 into 1 10.959 * [taylor]: Taking taylor expansion of (* x x) in x 10.959 * [taylor]: Taking taylor expansion of x in x 10.959 * [backup-simplify]: Simplify 0 into 0 10.959 * [backup-simplify]: Simplify 1 into 1 10.959 * [taylor]: Taking taylor expansion of x in x 10.959 * [backup-simplify]: Simplify 0 into 0 10.959 * [backup-simplify]: Simplify 1 into 1 10.959 * [backup-simplify]: Simplify (* 1 1) into 1 10.959 * [backup-simplify]: Simplify (* 0 0) into 0 10.959 * [backup-simplify]: Simplify (+ 1 0) into 1 10.960 * [backup-simplify]: Simplify (sqrt 1) into 1 10.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.960 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.961 * [backup-simplify]: Simplify (+ 0 0) into 0 10.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.961 * [backup-simplify]: Simplify (* 1 1) into 1 10.962 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 10.962 * [backup-simplify]: Simplify 1/8 into 1/8 10.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.964 * [backup-simplify]: Simplify (+ 0 1) into 1 10.964 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 10.965 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 10.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 1 1)) (* 0 (/ 0 1)))) into -1/8 10.966 * [backup-simplify]: Simplify -1/8 into -1/8 10.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.967 * [backup-simplify]: Simplify (+ 0 0) into 0 10.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 10.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 10.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 1 1)) (* -1/8 (/ 0 1)))) into 0 10.969 * [backup-simplify]: Simplify 0 into 0 10.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.971 * [backup-simplify]: Simplify (+ 0 0) into 0 10.972 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.972 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 10.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* -1/8 (/ 1 1)) (* 0 (/ 0 1)))) into 1/8 10.974 * [backup-simplify]: Simplify 1/8 into 1/8 10.974 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 4)) (+ (* -1/8 (pow x 2)) 1/8)) into (- (+ (* 1/8 (pow x 4)) 1/8) (* 1/8 (pow x 2))) 10.974 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) 10.974 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) in (x) around 0 10.974 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) in x 10.974 * [taylor]: Taking taylor expansion of 1/8 in x 10.974 * [backup-simplify]: Simplify 1/8 into 1/8 10.974 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 10.974 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.974 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.974 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.974 * [taylor]: Taking taylor expansion of 1 in x 10.975 * [backup-simplify]: Simplify 1 into 1 10.975 * [taylor]: Taking taylor expansion of 1 in x 10.975 * [backup-simplify]: Simplify 1 into 1 10.975 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.975 * [taylor]: Taking taylor expansion of x in x 10.975 * [backup-simplify]: Simplify 0 into 0 10.975 * [backup-simplify]: Simplify 1 into 1 10.975 * [backup-simplify]: Simplify (/ 1 1) into 1 10.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.975 * [taylor]: Taking taylor expansion of x in x 10.975 * [backup-simplify]: Simplify 0 into 0 10.975 * [backup-simplify]: Simplify 1 into 1 10.976 * [backup-simplify]: Simplify (/ 1 1) into 1 10.976 * [backup-simplify]: Simplify (* 1 1) into 1 10.976 * [backup-simplify]: Simplify (+ 0 1) into 1 10.977 * [backup-simplify]: Simplify (sqrt 1) into 1 10.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.980 * [backup-simplify]: Simplify (+ 0 0) into 0 10.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.981 * [backup-simplify]: Simplify (* 1 1) into 1 10.981 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 10.981 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 2)) in x 10.981 * [taylor]: Taking taylor expansion of 1/8 in x 10.981 * [backup-simplify]: Simplify 1/8 into 1/8 10.981 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 2) in x 10.981 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 10.982 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 10.982 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 10.982 * [taylor]: Taking taylor expansion of (* 1 1) in x 10.982 * [taylor]: Taking taylor expansion of 1 in x 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of 1 in x 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.982 * [taylor]: Taking taylor expansion of x in x 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [backup-simplify]: Simplify (/ 1 1) into 1 10.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.982 * [taylor]: Taking taylor expansion of x in x 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.983 * [backup-simplify]: Simplify (/ 1 1) into 1 10.983 * [backup-simplify]: Simplify (* 1 1) into 1 10.984 * [backup-simplify]: Simplify (+ 0 1) into 1 10.984 * [backup-simplify]: Simplify (sqrt 1) into 1 10.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.987 * [backup-simplify]: Simplify (+ 0 0) into 0 10.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.988 * [backup-simplify]: Simplify (* 1 1) into 1 10.988 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 10.988 * [backup-simplify]: Simplify 1/8 into 1/8 10.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 10.990 * [backup-simplify]: Simplify 0 into 0 10.996 * [backup-simplify]: Simplify (* 1 1) into 1 10.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.999 * [backup-simplify]: Simplify (+ 1 0) into 1 11.000 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.001 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 11.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 1 1)) (* 0 (/ 0 1)))) into -1/8 11.003 * [backup-simplify]: Simplify -1/8 into -1/8 11.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.007 * [backup-simplify]: Simplify (+ 0 0) into 0 11.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 11.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 1 1)) (* -1/8 (/ 0 1)))) into 0 11.011 * [backup-simplify]: Simplify 0 into 0 11.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.015 * [backup-simplify]: Simplify (+ 0 0) into 0 11.017 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.019 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 11.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* -1/8 (/ 1 1)) (* 0 (/ 0 1)))) into 1/8 11.020 * [backup-simplify]: Simplify 1/8 into 1/8 11.021 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 x) 6)) (+ (* -1/8 (pow (/ 1 x) 4)) (* 1/8 (pow (/ 1 x) 2)))) into (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 4)))) 11.021 * [backup-simplify]: Simplify (/ 1/8 (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) 11.021 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) in (x) around 0 11.021 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) in x 11.021 * [taylor]: Taking taylor expansion of 1/8 in x 11.021 * [backup-simplify]: Simplify 1/8 into 1/8 11.021 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 11.021 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.021 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.021 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.021 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.021 * [taylor]: Taking taylor expansion of 1 in x 11.021 * [backup-simplify]: Simplify 1 into 1 11.021 * [taylor]: Taking taylor expansion of 1 in x 11.021 * [backup-simplify]: Simplify 1 into 1 11.021 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.021 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.021 * [taylor]: Taking taylor expansion of -1 in x 11.021 * [backup-simplify]: Simplify -1 into -1 11.021 * [taylor]: Taking taylor expansion of x in x 11.021 * [backup-simplify]: Simplify 0 into 0 11.022 * [backup-simplify]: Simplify 1 into 1 11.022 * [backup-simplify]: Simplify (/ -1 1) into -1 11.022 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.022 * [taylor]: Taking taylor expansion of -1 in x 11.022 * [backup-simplify]: Simplify -1 into -1 11.022 * [taylor]: Taking taylor expansion of x in x 11.022 * [backup-simplify]: Simplify 0 into 0 11.022 * [backup-simplify]: Simplify 1 into 1 11.023 * [backup-simplify]: Simplify (/ -1 1) into -1 11.023 * [backup-simplify]: Simplify (* -1 -1) into 1 11.024 * [backup-simplify]: Simplify (+ 0 1) into 1 11.024 * [backup-simplify]: Simplify (sqrt 1) into 1 11.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.027 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.027 * [backup-simplify]: Simplify (+ 0 0) into 0 11.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.028 * [backup-simplify]: Simplify (* 1 1) into 1 11.029 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.029 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 2)) in x 11.029 * [taylor]: Taking taylor expansion of 1/8 in x 11.029 * [backup-simplify]: Simplify 1/8 into 1/8 11.029 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 2) in x 11.029 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.029 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.029 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.029 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.029 * [taylor]: Taking taylor expansion of 1 in x 11.029 * [backup-simplify]: Simplify 1 into 1 11.029 * [taylor]: Taking taylor expansion of 1 in x 11.029 * [backup-simplify]: Simplify 1 into 1 11.029 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.029 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.029 * [taylor]: Taking taylor expansion of -1 in x 11.029 * [backup-simplify]: Simplify -1 into -1 11.029 * [taylor]: Taking taylor expansion of x in x 11.029 * [backup-simplify]: Simplify 0 into 0 11.029 * [backup-simplify]: Simplify 1 into 1 11.030 * [backup-simplify]: Simplify (/ -1 1) into -1 11.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.030 * [taylor]: Taking taylor expansion of -1 in x 11.030 * [backup-simplify]: Simplify -1 into -1 11.030 * [taylor]: Taking taylor expansion of x in x 11.030 * [backup-simplify]: Simplify 0 into 0 11.030 * [backup-simplify]: Simplify 1 into 1 11.030 * [backup-simplify]: Simplify (/ -1 1) into -1 11.031 * [backup-simplify]: Simplify (* -1 -1) into 1 11.031 * [backup-simplify]: Simplify (+ 0 1) into 1 11.032 * [backup-simplify]: Simplify (sqrt 1) into 1 11.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.034 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.034 * [backup-simplify]: Simplify (+ 0 0) into 0 11.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.036 * [backup-simplify]: Simplify (* 1 1) into 1 11.036 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.036 * [backup-simplify]: Simplify 1/8 into 1/8 11.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 11.038 * [backup-simplify]: Simplify 0 into 0 11.038 * [backup-simplify]: Simplify (* 1 1) into 1 11.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.041 * [backup-simplify]: Simplify (+ 1 0) into 1 11.042 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.043 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 11.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 1 1)) (* 0 (/ 0 1)))) into -1/8 11.045 * [backup-simplify]: Simplify -1/8 into -1/8 11.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.047 * [backup-simplify]: Simplify (+ 0 0) into 0 11.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 11.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 1 1)) (* -1/8 (/ 0 1)))) into 0 11.049 * [backup-simplify]: Simplify 0 into 0 11.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 11.052 * [backup-simplify]: Simplify (+ 0 0) into 0 11.053 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.054 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 11.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* -1/8 (/ 1 1)) (* 0 (/ 0 1)))) into 1/8 11.054 * [backup-simplify]: Simplify 1/8 into 1/8 11.055 * [backup-simplify]: Simplify (+ (* 1/8 (pow (/ 1 (- x)) 6)) (+ (* -1/8 (pow (/ 1 (- x)) 4)) (* 1/8 (pow (/ 1 (- x)) 2)))) into (- (+ (* 1/8 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 4)))) 11.055 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2) 11.055 * [backup-simplify]: Simplify (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)) into (/ 1/8 (pow (hypot 1 x) 3)) 11.055 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in (x) around 0 11.055 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 11.055 * [taylor]: Taking taylor expansion of 1/8 in x 11.055 * [backup-simplify]: Simplify 1/8 into 1/8 11.055 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 11.055 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.055 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.055 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.055 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.055 * [taylor]: Taking taylor expansion of 1 in x 11.055 * [backup-simplify]: Simplify 1 into 1 11.055 * [taylor]: Taking taylor expansion of 1 in x 11.055 * [backup-simplify]: Simplify 1 into 1 11.055 * [taylor]: Taking taylor expansion of (* x x) in x 11.055 * [taylor]: Taking taylor expansion of x in x 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [backup-simplify]: Simplify 1 into 1 11.055 * [taylor]: Taking taylor expansion of x in x 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [backup-simplify]: Simplify 1 into 1 11.055 * [backup-simplify]: Simplify (* 1 1) into 1 11.056 * [backup-simplify]: Simplify (* 0 0) into 0 11.056 * [backup-simplify]: Simplify (+ 1 0) into 1 11.056 * [backup-simplify]: Simplify (sqrt 1) into 1 11.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.057 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.057 * [backup-simplify]: Simplify (+ 0 0) into 0 11.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.058 * [backup-simplify]: Simplify (* 1 1) into 1 11.058 * [backup-simplify]: Simplify (* 1 1) into 1 11.058 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.058 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 x) 3)) in x 11.058 * [taylor]: Taking taylor expansion of 1/8 in x 11.058 * [backup-simplify]: Simplify 1/8 into 1/8 11.058 * [taylor]: Taking taylor expansion of (pow (hypot 1 x) 3) in x 11.058 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 11.059 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x))) 11.059 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x 11.059 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.059 * [taylor]: Taking taylor expansion of 1 in x 11.059 * [backup-simplify]: Simplify 1 into 1 11.059 * [taylor]: Taking taylor expansion of 1 in x 11.059 * [backup-simplify]: Simplify 1 into 1 11.059 * [taylor]: Taking taylor expansion of (* x x) in x 11.059 * [taylor]: Taking taylor expansion of x in x 11.059 * [backup-simplify]: Simplify 0 into 0 11.059 * [backup-simplify]: Simplify 1 into 1 11.059 * [taylor]: Taking taylor expansion of x in x 11.059 * [backup-simplify]: Simplify 0 into 0 11.059 * [backup-simplify]: Simplify 1 into 1 11.059 * [backup-simplify]: Simplify (* 1 1) into 1 11.059 * [backup-simplify]: Simplify (* 0 0) into 0 11.059 * [backup-simplify]: Simplify (+ 1 0) into 1 11.060 * [backup-simplify]: Simplify (sqrt 1) into 1 11.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.061 * [backup-simplify]: Simplify (+ 0 0) into 0 11.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.062 * [backup-simplify]: Simplify (* 1 1) into 1 11.062 * [backup-simplify]: Simplify (* 1 1) into 1 11.062 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.062 * [backup-simplify]: Simplify 1/8 into 1/8 11.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 11.064 * [backup-simplify]: Simplify 0 into 0 11.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.065 * [backup-simplify]: Simplify (+ 0 1) into 1 11.065 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.066 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 11.067 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 11.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 11.067 * [backup-simplify]: Simplify -3/16 into -3/16 11.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.069 * [backup-simplify]: Simplify (+ 0 0) into 0 11.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 11.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 11.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.073 * [backup-simplify]: Simplify (+ 0 0) into 0 11.075 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.076 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 11.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 11.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 11.080 * [backup-simplify]: Simplify 15/64 into 15/64 11.080 * [backup-simplify]: Simplify (+ (* 15/64 (pow x 4)) (+ (* -3/16 (pow x 2)) 1/8)) into (- (+ (* 15/64 (pow x 4)) 1/8) (* 3/16 (pow x 2))) 11.080 * [backup-simplify]: Simplify (/ (/ 1/8 (* (hypot 1 (/ 1 x)) (hypot 1 (/ 1 x)))) (hypot 1 (/ 1 x))) into (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) 11.080 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in (x) around 0 11.080 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 11.080 * [taylor]: Taking taylor expansion of 1/8 in x 11.081 * [backup-simplify]: Simplify 1/8 into 1/8 11.081 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 11.081 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.081 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.081 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.081 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.081 * [taylor]: Taking taylor expansion of 1 in x 11.081 * [backup-simplify]: Simplify 1 into 1 11.081 * [taylor]: Taking taylor expansion of 1 in x 11.081 * [backup-simplify]: Simplify 1 into 1 11.081 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.081 * [taylor]: Taking taylor expansion of x in x 11.081 * [backup-simplify]: Simplify 0 into 0 11.081 * [backup-simplify]: Simplify 1 into 1 11.081 * [backup-simplify]: Simplify (/ 1 1) into 1 11.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.081 * [taylor]: Taking taylor expansion of x in x 11.081 * [backup-simplify]: Simplify 0 into 0 11.081 * [backup-simplify]: Simplify 1 into 1 11.082 * [backup-simplify]: Simplify (/ 1 1) into 1 11.082 * [backup-simplify]: Simplify (* 1 1) into 1 11.083 * [backup-simplify]: Simplify (+ 0 1) into 1 11.083 * [backup-simplify]: Simplify (sqrt 1) into 1 11.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.086 * [backup-simplify]: Simplify (+ 0 0) into 0 11.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.087 * [backup-simplify]: Simplify (* 1 1) into 1 11.087 * [backup-simplify]: Simplify (* 1 1) into 1 11.088 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.088 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ 1 x)) 3)) in x 11.088 * [taylor]: Taking taylor expansion of 1/8 in x 11.088 * [backup-simplify]: Simplify 1/8 into 1/8 11.088 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ 1 x)) 3) in x 11.088 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 11.088 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x)))) 11.088 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x 11.088 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.088 * [taylor]: Taking taylor expansion of 1 in x 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [taylor]: Taking taylor expansion of 1 in x 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 11.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.088 * [taylor]: Taking taylor expansion of x in x 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify 1 into 1 11.089 * [backup-simplify]: Simplify (/ 1 1) into 1 11.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 11.089 * [taylor]: Taking taylor expansion of x in x 11.089 * [backup-simplify]: Simplify 0 into 0 11.089 * [backup-simplify]: Simplify 1 into 1 11.089 * [backup-simplify]: Simplify (/ 1 1) into 1 11.090 * [backup-simplify]: Simplify (* 1 1) into 1 11.090 * [backup-simplify]: Simplify (+ 0 1) into 1 11.091 * [backup-simplify]: Simplify (sqrt 1) into 1 11.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.093 * [backup-simplify]: Simplify (+ 0 0) into 0 11.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.094 * [backup-simplify]: Simplify (* 1 1) into 1 11.095 * [backup-simplify]: Simplify (* 1 1) into 1 11.095 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.095 * [backup-simplify]: Simplify 1/8 into 1/8 11.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify (* 1 1) into 1 11.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.101 * [backup-simplify]: Simplify (+ 1 0) into 1 11.102 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.102 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 11.103 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 11.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 11.103 * [backup-simplify]: Simplify -3/16 into -3/16 11.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.106 * [backup-simplify]: Simplify (+ 0 0) into 0 11.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 11.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 11.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 11.109 * [backup-simplify]: Simplify 0 into 0 11.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.111 * [backup-simplify]: Simplify (+ 0 0) into 0 11.116 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.117 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 11.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 11.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 11.119 * [backup-simplify]: Simplify 15/64 into 15/64 11.119 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 x) 7)) (+ (* -3/16 (pow (/ 1 x) 5)) (* 1/8 (pow (/ 1 x) 3)))) into (- (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3)))) (* 3/16 (/ 1 (pow x 5)))) 11.119 * [backup-simplify]: Simplify (/ (/ 1/8 (* (hypot 1 (/ 1 (- x))) (hypot 1 (/ 1 (- x))))) (hypot 1 (/ 1 (- x)))) into (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) 11.119 * [approximate]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in (x) around 0 11.119 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 11.119 * [taylor]: Taking taylor expansion of 1/8 in x 11.119 * [backup-simplify]: Simplify 1/8 into 1/8 11.119 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 11.119 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.119 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.119 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.119 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.119 * [taylor]: Taking taylor expansion of 1 in x 11.119 * [backup-simplify]: Simplify 1 into 1 11.119 * [taylor]: Taking taylor expansion of 1 in x 11.119 * [backup-simplify]: Simplify 1 into 1 11.119 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.119 * [taylor]: Taking taylor expansion of -1 in x 11.119 * [backup-simplify]: Simplify -1 into -1 11.119 * [taylor]: Taking taylor expansion of x in x 11.119 * [backup-simplify]: Simplify 0 into 0 11.119 * [backup-simplify]: Simplify 1 into 1 11.120 * [backup-simplify]: Simplify (/ -1 1) into -1 11.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.120 * [taylor]: Taking taylor expansion of -1 in x 11.120 * [backup-simplify]: Simplify -1 into -1 11.120 * [taylor]: Taking taylor expansion of x in x 11.120 * [backup-simplify]: Simplify 0 into 0 11.120 * [backup-simplify]: Simplify 1 into 1 11.120 * [backup-simplify]: Simplify (/ -1 1) into -1 11.120 * [backup-simplify]: Simplify (* -1 -1) into 1 11.121 * [backup-simplify]: Simplify (+ 0 1) into 1 11.121 * [backup-simplify]: Simplify (sqrt 1) into 1 11.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.122 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.122 * [backup-simplify]: Simplify (+ 0 0) into 0 11.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.123 * [backup-simplify]: Simplify (* 1 1) into 1 11.123 * [backup-simplify]: Simplify (* 1 1) into 1 11.124 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.124 * [taylor]: Taking taylor expansion of (/ 1/8 (pow (hypot 1 (/ -1 x)) 3)) in x 11.124 * [taylor]: Taking taylor expansion of 1/8 in x 11.124 * [backup-simplify]: Simplify 1/8 into 1/8 11.124 * [taylor]: Taking taylor expansion of (pow (hypot 1 (/ -1 x)) 3) in x 11.124 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 11.124 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x)))) 11.124 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x 11.124 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.124 * [taylor]: Taking taylor expansion of 1 in x 11.124 * [backup-simplify]: Simplify 1 into 1 11.124 * [taylor]: Taking taylor expansion of 1 in x 11.124 * [backup-simplify]: Simplify 1 into 1 11.124 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 11.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.124 * [taylor]: Taking taylor expansion of -1 in x 11.124 * [backup-simplify]: Simplify -1 into -1 11.124 * [taylor]: Taking taylor expansion of x in x 11.124 * [backup-simplify]: Simplify 0 into 0 11.124 * [backup-simplify]: Simplify 1 into 1 11.124 * [backup-simplify]: Simplify (/ -1 1) into -1 11.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 11.124 * [taylor]: Taking taylor expansion of -1 in x 11.124 * [backup-simplify]: Simplify -1 into -1 11.124 * [taylor]: Taking taylor expansion of x in x 11.124 * [backup-simplify]: Simplify 0 into 0 11.124 * [backup-simplify]: Simplify 1 into 1 11.125 * [backup-simplify]: Simplify (/ -1 1) into -1 11.125 * [backup-simplify]: Simplify (* -1 -1) into 1 11.125 * [backup-simplify]: Simplify (+ 0 1) into 1 11.125 * [backup-simplify]: Simplify (sqrt 1) into 1 11.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.127 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.127 * [backup-simplify]: Simplify (+ 0 0) into 0 11.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.128 * [backup-simplify]: Simplify (* 1 1) into 1 11.128 * [backup-simplify]: Simplify (* 1 1) into 1 11.128 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 11.128 * [backup-simplify]: Simplify 1/8 into 1/8 11.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 11.129 * [backup-simplify]: Simplify 0 into 0 11.130 * [backup-simplify]: Simplify (* 1 1) into 1 11.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.131 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.132 * [backup-simplify]: Simplify (+ 1 0) into 1 11.132 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2 11.133 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 11.134 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 11.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/2 1)) (* 0 (/ 0 1)))) into -3/16 11.135 * [backup-simplify]: Simplify -3/16 into -3/16 11.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.139 * [backup-simplify]: Simplify (+ 0 0) into 0 11.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0 11.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 11.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 11.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 3/2 1)) (* -3/16 (/ 0 1)))) into 0 11.145 * [backup-simplify]: Simplify 0 into 0 11.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.149 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 11.149 * [backup-simplify]: Simplify (+ 0 0) into 0 11.151 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 11.153 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* -1/8 1))))) into 0 11.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* -1/8 1))))) into 3/8 11.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 3/8 1)) (* 0 (/ 0 1)) (* -3/16 (/ 3/2 1)) (* 0 (/ 0 1)))) into 15/64 11.156 * [backup-simplify]: Simplify 15/64 into 15/64 11.157 * [backup-simplify]: Simplify (+ (* 15/64 (pow (/ 1 (- x)) 7)) (+ (* -3/16 (pow (/ 1 (- x)) 5)) (* 1/8 (pow (/ 1 (- x)) 3)))) into (- (* 3/16 (/ 1 (pow x 5))) (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3))))) 11.157 * * * [progress]: simplifying candidates 11.157 * * * * [progress]: [ 1 / 284 ] simplifiying candidate # 11.157 * * * * [progress]: [ 2 / 284 ] simplifiying candidate # 11.157 * * * * [progress]: [ 3 / 284 ] simplifiying candidate # 11.157 * * * * [progress]: [ 4 / 284 ] simplifiying candidate # 11.158 * * * * [progress]: [ 5 / 284 ] simplifiying candidate # 11.159 * * * * [progress]: [ 6 / 284 ] simplifiying candidate # 11.159 * * * * [progress]: [ 7 / 284 ] simplifiying candidate # 11.159 * * * * [progress]: [ 8 / 284 ] simplifiying candidate # 11.159 * * * * [progress]: [ 9 / 284 ] simplifiying candidate # 11.159 * * * * [progress]: [ 10 / 284 ] simplifiying candidate # 11.159 * * * * [progress]: [ 11 / 284 ] simplifiying candidate # 11.159 * * * * [progress]: [ 12 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 13 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 14 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 15 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 16 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 17 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 18 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 19 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 20 / 284 ] simplifiying candidate # 11.160 * * * * [progress]: [ 21 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 22 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 23 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 24 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 25 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 26 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 27 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 28 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 29 / 284 ] simplifiying candidate # 11.161 * * * * [progress]: [ 30 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 31 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 32 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 33 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 34 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 35 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 36 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 37 / 284 ] simplifiying candidate # 11.162 * * * * [progress]: [ 38 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 39 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 40 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 41 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 42 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 43 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 44 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 45 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 46 / 284 ] simplifiying candidate # 11.163 * * * * [progress]: [ 47 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 48 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 49 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 50 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 51 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 52 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 53 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 54 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 55 / 284 ] simplifiying candidate # 11.164 * * * * [progress]: [ 56 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 57 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 58 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 59 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 60 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 61 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 62 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 63 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 64 / 284 ] simplifiying candidate # 11.165 * * * * [progress]: [ 65 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 66 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 67 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 68 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 69 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 70 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 71 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 72 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 73 / 284 ] simplifiying candidate # 11.166 * * * * [progress]: [ 74 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 75 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 76 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 77 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 78 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 79 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 80 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 81 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 82 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 83 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 84 / 284 ] simplifiying candidate # 11.167 * * * * [progress]: [ 85 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 86 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 87 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 88 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 89 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 90 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 91 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 92 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 93 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 94 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 95 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 96 / 284 ] simplifiying candidate # 11.168 * * * * [progress]: [ 97 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 98 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 99 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 100 / 284 ] simplifiying candidate #real (real->posit16 (log (exp (- 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 11.169 * * * * [progress]: [ 101 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 102 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 103 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 104 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 105 / 284 ] simplifiying candidate # 11.169 * * * * [progress]: [ 106 / 284 ] simplifiying candidate # 11.170 * * * * [progress]: [ 107 / 284 ] simplifiying candidate # 11.170 * * * * [progress]: [ 108 / 284 ] simplifiying candidate # 11.170 * * * * [progress]: [ 109 / 284 ] simplifiying candidate # 11.170 * * * * [progress]: [ 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1/2)))))> 11.179 * * * * [progress]: [ 198 / 284 ] simplifiying candidate # 11.179 * * * * [progress]: [ 199 / 284 ] simplifiying candidate # 11.179 * * * * [progress]: [ 200 / 284 ] simplifiying candidate # 11.179 * * * * [progress]: [ 201 / 284 ] simplifiying candidate # 11.179 * * * * [progress]: [ 202 / 284 ] simplifiying candidate # 11.179 * * * * [progress]: [ 203 / 284 ] simplifiying candidate # 11.179 * * * * [progress]: [ 204 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 205 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 206 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 207 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 208 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 209 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 210 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 211 / 284 ] simplifiying candidate # 11.180 * * * * [progress]: [ 212 / 284 ] simplifiying candidate # 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simplifiying candidate # 11.185 * * * * [progress]: [ 271 / 284 ] simplifiying candidate # 11.185 * * * * [progress]: [ 272 / 284 ] simplifiying candidate #real (real->posit16 (/ (/ 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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))> 11.185 * * * * [progress]: [ 273 / 284 ] simplifiying candidate # 11.185 * * * * [progress]: [ 274 / 284 ] simplifiying candidate # 11.185 * * * * [progress]: [ 275 / 284 ] simplifiying candidate # 11.185 * * * * [progress]: [ 276 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 277 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 278 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 279 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 280 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 281 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 282 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 283 / 284 ] simplifiying candidate # 11.186 * * * * [progress]: [ 284 / 284 ] simplifiying candidate # 11.196 * [simplify]: Simplifying (expm1 (log (exp (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))))), (log1p (log (exp (- 1/8 (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))))), (log (exp (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (* (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))))))))), (log (exp (fma (- (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))) (* (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))) (* (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (* (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (cbrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))))))), (log (exp (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (sqrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (sqrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))))))), (log (exp (fma (- (sqrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x)))) (sqrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (* (sqrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))) (sqrt (/ (/ 1/8 (* (hypot 1 x) (hypot 1 x))) (hypot 1 x))))))), (log (exp (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))), (log (exp (fma (- (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))))), (log (exp (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (sqrt (hypot 1 x)))))))), (log (exp (fma (- (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x)))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (sqrt (hypot 1 x))) (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) (sqrt (hypot 1 x))))))), (log (exp (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) 1)))))), (log (exp (fma (- (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x))) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) 1) (* (/ (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (hypot 1 x)) (/ (* (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (/ 1/8 (* (hypot 1 x) (hypot 1 x))))) 1))))), (log (exp (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))), (log (exp (fma (- (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x)))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (cbrt (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))))), (log (exp (fma (* (cbrt 1/8) (cbrt 1/8)) (cbrt 1/8) (- (* (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (/ (sqrt (/ 1/8 (* (hypot 1 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1/8 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 4)))), (- (+ (* 15/64 (pow x 4)) 1/8) (* 3/16 (pow x 2))), (- (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3)))) (* 3/16 (/ 1 (pow x 5)))), (- (* 3/16 (/ 1 (pow x 5))) (+ (* 15/64 (/ 1 (pow x 7))) (* 1/8 (/ 1 (pow x 3))))) 11.218 * * [simplify]: iteration 1: (597 enodes) 11.492 * * [simplify]: Extracting #0: cost 202 inf + 0 11.493 * * [simplify]: Extracting #1: cost 683 inf + 4 11.497 * * [simplify]: Extracting #2: cost 978 inf + 398 11.503 * * [simplify]: Extracting #3: cost 965 inf + 4461 11.515 * * [simplify]: Extracting #4: cost 772 inf + 49914 11.538 * * [simplify]: Extracting #5: cost 422 inf + 159198 11.605 * * [simplify]: Extracting #6: cost 162 inf + 265670 11.709 * * [simplify]: Extracting #7: cost 12 inf + 337131 11.788 * * [simplify]: Extracting #8: cost 0 inf + 340894 11.884 * * [simplify]: Extracting #9: cost 0 inf + 340693 11.988 * [simplify]: Simplified to (expm1 (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 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(hypot 1 x))))))), (+ 1/64 (* (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (+ (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) 1/8))), (- (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (- 1/64 (* (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))) (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))), (+ 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (+ (sqrt 1/8) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))), (- (sqrt 1/8) (sqrt (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))), (+ (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x))) (sqrt 1/8)), (- (sqrt 1/8) (/ (sqrt (/ 1/8 (* (hypot 1 x) (hypot 1 x)))) (sqrt (hypot 1 x)))), (+ (/ (sqrt 1/8) (* (sqrt (hypot 1 x)) (hypot 1 x))) (sqrt 1/8)), (- (sqrt 1/8) (/ (sqrt 1/8) (* (sqrt (hypot 1 x)) (hypot 1 x)))), (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (- (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (real->posit16 (- 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 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(* x x)) (* x (* x x))))) (* 15/64 (* (* x x) (* x x)))), (+ (/ 3/16 (pow x 5)) (- 1/8 (/ 1/8 (* x (* x x))))), (+ (/ 1/8 (* x (* x x))) (- 1/8 (/ 3/16 (pow x 5)))), (- (fma 1/8 (* (* x x) (* x x)) 1/8) (* (* x x) 1/8)), (+ (/ 1/8 (* x x)) (- (/ 1/8 (* (* x (* x x)) (* x (* x x)))) (/ 1/8 (* (* x x) (* x x))))), (+ (/ 1/8 (* x x)) (- (/ 1/8 (* (* x (* x x)) (* x (* x x)))) (/ 1/8 (* (* x x) (* x x))))), (- (fma 15/64 (* (* x x) (* x x)) 1/8) (* (* x x) 3/16)), (+ (/ 15/64 (pow x 7)) (- (/ 1/8 (* x (* x x))) (/ 3/16 (pow x 5)))), (- (- (/ 3/16 (pow x 5)) (/ 15/64 (pow x 7))) (/ 1/8 (* x (* x x)))) 12.145 * * * [progress]: adding candidates to table 16.719 * [progress]: [Phase 3 of 3] Extracting. 16.719 * * [regime]: Finding splitpoints for: (# # # # # #) 16.724 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x)) 16.724 * * * * [regimes]: Trying to branch on x from (# # # # # #) 16.801 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # # # #) 16.878 * * * * [regimes]: Trying to branch on (hypot 1 x) from (# # # #) 16.914 * * * [regime]: Found split indices: #