0.001 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.082 * * * [progress]: [2/2] Setting up program.
0.087 * [progress]: [Phase 2 of 3] Improving.
0.087 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x)))))))>
0.087 * [simplify]: Simplifying (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x))))))
0.087 * * [simplify]: iteration 1: (9 enodes)
0.094 * * [simplify]: iteration 2: (39 enodes)
0.114 * * [simplify]: iteration 3: (53 enodes)
0.121 * * [simplify]: iteration 4: (55 enodes)
0.128 * * [simplify]: Extracting #0: cost 1 inf + 0
0.128 * * [simplify]: Extracting #1: cost 5 inf + 0
0.128 * * [simplify]: Extracting #2: cost 7 inf + 1
0.128 * * [simplify]: Extracting #3: cost 12 inf + 1
0.128 * * [simplify]: Extracting #4: cost 15 inf + 2
0.128 * * [simplify]: Extracting #5: cost 17 inf + 2
0.128 * * [simplify]: Extracting #6: cost 15 inf + 60
0.128 * * [simplify]: Extracting #7: cost 6 inf + 1143
0.129 * * [simplify]: Extracting #8: cost 0 inf + 2360
0.129 * * [simplify]: Extracting #9: cost 0 inf + 2285
0.130 * [simplify]: Simplified to (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))
0.135 * * [progress]: iteration 1 / 4
0.135 * * * [progress]: picking best candidate
0.137 * * * * [pick]: Picked  #<alt (λ (x) (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))>
0.137 * * * [progress]: localizing error
0.163 * * * [progress]: generating rewritten candidates
0.163 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.217 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
0.226 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.243 * * * [progress]: generating series expansions
0.243 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.244 * [backup-simplify]: Simplify (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)))
0.244 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0
0.244 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x
0.244 * [taylor]: Taking taylor expansion of 1 in x
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
0.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
0.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
0.244 * [taylor]: Taking taylor expansion of 1/2 in x
0.244 * [backup-simplify]: Simplify 1/2 into 1/2
0.244 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
0.244 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
0.244 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
0.244 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
0.244 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.244 * [taylor]: Taking taylor expansion of 1 in x
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of 1 in x
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of (* x x) in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify (* 1 1) into 1
0.245 * [backup-simplify]: Simplify (* 0 0) into 0
0.245 * [backup-simplify]: Simplify (+ 1 0) into 1
0.245 * [backup-simplify]: Simplify (sqrt 1) into 1
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.247 * [taylor]: Taking taylor expansion of 1/2 in x
0.247 * [backup-simplify]: Simplify 1/2 into 1/2
0.247 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.248 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
0.248 * [backup-simplify]: Simplify (sqrt 1) into 1
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.249 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x
0.250 * [taylor]: Taking taylor expansion of 1 in x
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
0.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
0.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
0.250 * [taylor]: Taking taylor expansion of 1/2 in x
0.250 * [backup-simplify]: Simplify 1/2 into 1/2
0.250 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
0.250 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
0.250 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
0.250 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
0.250 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.250 * [taylor]: Taking taylor expansion of 1 in x
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of 1 in x
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (* x x) in x
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (* 1 1) into 1
0.250 * [backup-simplify]: Simplify (* 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ 1 0) into 1
0.251 * [backup-simplify]: Simplify (sqrt 1) into 1
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.253 * [backup-simplify]: Simplify (/ 1 1) into 1
0.253 * [taylor]: Taking taylor expansion of 1/2 in x
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.253 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.255 * [backup-simplify]: Simplify (- 1) into -1
0.256 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (- 0) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.258 * [backup-simplify]: Simplify (+ 0 1) into 1
0.258 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
0.260 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
0.260 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
0.260 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8
0.261 * [backup-simplify]: Simplify (- -1/8) into 1/8
0.261 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
0.261 * [backup-simplify]: Simplify 1/8 into 1/8
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0
0.266 * [backup-simplify]: Simplify (- 0) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
0.271 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
0.271 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16
0.272 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128
0.272 * [backup-simplify]: Simplify (- 11/128) into -11/128
0.272 * [backup-simplify]: Simplify (+ 0 -11/128) into -11/128
0.272 * [backup-simplify]: Simplify -11/128 into -11/128
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 11/128)) (* 2 (* -1/8 0)))) (* 2 1)) into 0
0.285 * [backup-simplify]: Simplify (- 0) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
0.291 * [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
0.293 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32
0.293 * [backup-simplify]: Simplify (+ -5/32 0) into -5/32
0.294 * [backup-simplify]: Simplify (/ (- -5/32 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/8 11/128)))) (* 2 1)) into -69/1024
0.294 * [backup-simplify]: Simplify (- -69/1024) into 69/1024
0.295 * [backup-simplify]: Simplify (+ 0 69/1024) into 69/1024
0.295 * [backup-simplify]: Simplify 69/1024 into 69/1024
0.295 * [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)))
0.295 * [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)))
0.295 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0
0.295 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x
0.295 * [taylor]: Taking taylor expansion of 1 in x
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
0.295 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
0.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
0.295 * [taylor]: Taking taylor expansion of 1/2 in x
0.295 * [backup-simplify]: Simplify 1/2 into 1/2
0.295 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
0.295 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
0.295 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
0.295 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
0.295 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.295 * [taylor]: Taking taylor expansion of 1 in x
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of 1 in x
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.295 * [taylor]: Taking taylor expansion of x in x
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.296 * [taylor]: Taking taylor expansion of x in x
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (+ 0 1) into 1
0.297 * [backup-simplify]: Simplify (sqrt 1) into 1
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [taylor]: Taking taylor expansion of 1/2 in x
0.301 * [backup-simplify]: Simplify 1/2 into 1/2
0.301 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.302 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.302 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.302 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.303 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.303 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x
0.303 * [taylor]: Taking taylor expansion of 1 in x
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
0.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
0.303 * [taylor]: Taking taylor expansion of 1/2 in x
0.303 * [backup-simplify]: Simplify 1/2 into 1/2
0.303 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
0.303 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
0.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
0.303 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
0.303 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.303 * [taylor]: Taking taylor expansion of 1 in x
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of 1 in x
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.303 * [taylor]: Taking taylor expansion of x in x
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.304 * [taylor]: Taking taylor expansion of x in x
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify (+ 0 1) into 1
0.305 * [backup-simplify]: Simplify (sqrt 1) into 1
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [taylor]: Taking taylor expansion of 1/2 in x
0.307 * [backup-simplify]: Simplify 1/2 into 1/2
0.307 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.307 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.308 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.308 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.309 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.309 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2))
0.310 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2))
0.311 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2))
0.312 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2))))
0.314 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2))))
0.315 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2))))
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
0.323 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))
0.327 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))
0.330 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3))
0.335 * [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)))
0.335 * [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)))
0.335 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0
0.335 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x
0.335 * [taylor]: Taking taylor expansion of 1 in x
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
0.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
0.335 * [taylor]: Taking taylor expansion of 1/2 in x
0.335 * [backup-simplify]: Simplify 1/2 into 1/2
0.335 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
0.335 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
0.335 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
0.335 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
0.335 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.335 * [taylor]: Taking taylor expansion of 1 in x
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [taylor]: Taking taylor expansion of 1 in x
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.335 * [taylor]: Taking taylor expansion of -1 in x
0.335 * [backup-simplify]: Simplify -1 into -1
0.335 * [taylor]: Taking taylor expansion of x in x
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ -1 1) into -1
0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.336 * [taylor]: Taking taylor expansion of -1 in x
0.336 * [backup-simplify]: Simplify -1 into -1
0.336 * [taylor]: Taking taylor expansion of x in x
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ -1 1) into -1
0.336 * [backup-simplify]: Simplify (* -1 -1) into 1
0.337 * [backup-simplify]: Simplify (+ 0 1) into 1
0.337 * [backup-simplify]: Simplify (sqrt 1) into 1
0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.339 * [backup-simplify]: Simplify (/ 1 1) into 1
0.339 * [taylor]: Taking taylor expansion of 1/2 in x
0.339 * [backup-simplify]: Simplify 1/2 into 1/2
0.340 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.340 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.340 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.340 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.341 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.341 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x
0.341 * [taylor]: Taking taylor expansion of 1 in x
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
0.341 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
0.341 * [taylor]: Taking taylor expansion of 1/2 in x
0.341 * [backup-simplify]: Simplify 1/2 into 1/2
0.341 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
0.341 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
0.341 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
0.341 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
0.341 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.342 * [taylor]: Taking taylor expansion of 1 in x
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [taylor]: Taking taylor expansion of 1 in x
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.342 * [taylor]: Taking taylor expansion of -1 in x
0.342 * [backup-simplify]: Simplify -1 into -1
0.342 * [taylor]: Taking taylor expansion of x in x
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (/ -1 1) into -1
0.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.342 * [taylor]: Taking taylor expansion of -1 in x
0.342 * [backup-simplify]: Simplify -1 into -1
0.342 * [taylor]: Taking taylor expansion of x in x
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (/ -1 1) into -1
0.343 * [backup-simplify]: Simplify (* -1 -1) into 1
0.343 * [backup-simplify]: Simplify (+ 0 1) into 1
0.343 * [backup-simplify]: Simplify (sqrt 1) into 1
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.345 * [taylor]: Taking taylor expansion of 1/2 in x
0.345 * [backup-simplify]: Simplify 1/2 into 1/2
0.346 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.346 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.347 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.348 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2))
0.349 * [backup-simplify]: Simplify (+ 1 (- (sqrt 1/2))) into (- 1 (sqrt 1/2))
0.350 * [backup-simplify]: Simplify (- 1 (sqrt 1/2)) into (- 1 (sqrt 1/2))
0.350 * [backup-simplify]: Simplify (- (/ 1/4 (sqrt 1/2))) into (- (* 1/4 (/ 1 (sqrt 1/2))))
0.353 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt 1/2))))) into (- (* 1/4 (/ 1 (sqrt 1/2))))
0.354 * [backup-simplify]: Simplify (- (* 1/4 (/ 1 (sqrt 1/2)))) into (- (* 1/4 (/ 1 (sqrt 1/2))))
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
0.364 * [backup-simplify]: Simplify (- (/ -1/32 (pow (sqrt 1/2) 3))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))
0.368 * [backup-simplify]: Simplify (+ 0 (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))
0.370 * [backup-simplify]: Simplify (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) into (/ 1/32 (pow (sqrt 1/2) 3))
0.374 * [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))
0.374 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
0.374 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 x)) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)
0.374 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in (x) around 0
0.374 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
0.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
0.374 * [taylor]: Taking taylor expansion of 1/2 in x
0.374 * [backup-simplify]: Simplify 1/2 into 1/2
0.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
0.374 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
0.374 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
0.374 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
0.374 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.374 * [taylor]: Taking taylor expansion of 1 in x
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [taylor]: Taking taylor expansion of 1 in x
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [taylor]: Taking taylor expansion of (* x x) in x
0.374 * [taylor]: Taking taylor expansion of x in x
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [taylor]: Taking taylor expansion of x in x
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (* 1 1) into 1
0.375 * [backup-simplify]: Simplify (* 0 0) into 0
0.375 * [backup-simplify]: Simplify (+ 1 0) into 1
0.375 * [backup-simplify]: Simplify (sqrt 1) into 1
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.376 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [taylor]: Taking taylor expansion of 1/2 in x
0.377 * [backup-simplify]: Simplify 1/2 into 1/2
0.377 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
0.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
0.377 * [taylor]: Taking taylor expansion of 1/2 in x
0.377 * [backup-simplify]: Simplify 1/2 into 1/2
0.377 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
0.377 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
0.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
0.377 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
0.377 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.377 * [taylor]: Taking taylor expansion of 1 in x
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of 1 in x
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of (* x x) in x
0.377 * [taylor]: Taking taylor expansion of x in x
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [taylor]: Taking taylor expansion of x in x
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (* 0 0) into 0
0.378 * [backup-simplify]: Simplify (+ 1 0) into 1
0.378 * [backup-simplify]: Simplify (sqrt 1) into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.379 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.380 * [taylor]: Taking taylor expansion of 1/2 in x
0.380 * [backup-simplify]: Simplify 1/2 into 1/2
0.380 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.380 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.383 * [backup-simplify]: Simplify (+ 0 1) into 1
0.384 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
0.385 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
0.385 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
0.385 * [backup-simplify]: Simplify -1/4 into -1/4
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.392 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
0.394 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
0.394 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16
0.394 * [backup-simplify]: Simplify 3/16 into 3/16
0.394 * [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)))
0.394 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)
0.394 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in (x) around 0
0.394 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
0.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
0.394 * [taylor]: Taking taylor expansion of 1/2 in x
0.394 * [backup-simplify]: Simplify 1/2 into 1/2
0.394 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
0.394 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
0.395 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
0.395 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
0.395 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.395 * [taylor]: Taking taylor expansion of 1 in x
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [taylor]: Taking taylor expansion of 1 in x
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.395 * [taylor]: Taking taylor expansion of x in x
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.395 * [taylor]: Taking taylor expansion of x in x
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (/ 1 1) into 1
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (+ 0 1) into 1
0.396 * [backup-simplify]: Simplify (sqrt 1) into 1
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.399 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.400 * [backup-simplify]: Simplify (/ 1 1) into 1
0.400 * [taylor]: Taking taylor expansion of 1/2 in x
0.400 * [backup-simplify]: Simplify 1/2 into 1/2
0.400 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
0.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
0.401 * [taylor]: Taking taylor expansion of 1/2 in x
0.401 * [backup-simplify]: Simplify 1/2 into 1/2
0.401 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
0.401 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
0.401 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
0.401 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
0.401 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.401 * [taylor]: Taking taylor expansion of 1 in x
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [taylor]: Taking taylor expansion of 1 in x
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.401 * [taylor]: Taking taylor expansion of x in x
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.401 * [backup-simplify]: Simplify (/ 1 1) into 1
0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.401 * [taylor]: Taking taylor expansion of x in x
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (/ 1 1) into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (+ 0 1) into 1
0.403 * [backup-simplify]: Simplify (sqrt 1) into 1
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.406 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [taylor]: Taking taylor expansion of 1/2 in x
0.406 * [backup-simplify]: Simplify 1/2 into 1/2
0.406 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.406 * [backup-simplify]: Simplify 1/2 into 1/2
0.407 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.407 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.407 * [backup-simplify]: Simplify 1/2 into 1/2
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.412 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
0.414 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
0.415 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
0.415 * [backup-simplify]: Simplify -1/4 into -1/4
0.415 * [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))))
0.415 * [backup-simplify]: Simplify (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2) into (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)
0.415 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in (x) around 0
0.415 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
0.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
0.415 * [taylor]: Taking taylor expansion of 1/2 in x
0.415 * [backup-simplify]: Simplify 1/2 into 1/2
0.415 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
0.415 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
0.415 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
0.415 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
0.415 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.415 * [taylor]: Taking taylor expansion of 1 in x
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [taylor]: Taking taylor expansion of 1 in x
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.415 * [taylor]: Taking taylor expansion of -1 in x
0.415 * [backup-simplify]: Simplify -1 into -1
0.415 * [taylor]: Taking taylor expansion of x in x
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (/ -1 1) into -1
0.416 * [taylor]: Taking taylor expansion of (/ -1 x) 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 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 (* -1 -1) into 1
0.417 * [backup-simplify]: Simplify (+ 0 1) into 1
0.417 * [backup-simplify]: Simplify (sqrt 1) into 1
0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.419 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.419 * [backup-simplify]: Simplify (/ 1 1) into 1
0.419 * [taylor]: Taking taylor expansion of 1/2 in x
0.419 * [backup-simplify]: Simplify 1/2 into 1/2
0.419 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
0.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
0.419 * [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 (/ 1 (hypot 1 (/ -1 x))) in x
0.420 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
0.420 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
0.420 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
0.420 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.420 * [taylor]: Taking taylor expansion of 1 in x
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [taylor]: Taking taylor expansion of 1 in x
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.420 * [taylor]: Taking taylor expansion of -1 in x
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ -1 1) into -1
0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.420 * [taylor]: Taking taylor expansion of -1 in x
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ -1 1) into -1
0.421 * [backup-simplify]: Simplify (* -1 -1) into 1
0.421 * [backup-simplify]: Simplify (+ 0 1) into 1
0.421 * [backup-simplify]: Simplify (sqrt 1) into 1
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.424 * [taylor]: Taking taylor expansion of 1/2 in x
0.424 * [backup-simplify]: Simplify 1/2 into 1/2
0.424 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.424 * [backup-simplify]: Simplify 1/2 into 1/2
0.424 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.425 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.425 * [backup-simplify]: Simplify 1/2 into 1/2
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.426 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.428 * [backup-simplify]: Simplify (+ 1 0) into 1
0.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
0.430 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
0.430 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
0.430 * [backup-simplify]: Simplify -1/4 into -1/4
0.431 * [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)))
0.431 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.431 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))
0.431 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0
0.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
0.431 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
0.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
0.431 * [taylor]: Taking taylor expansion of 1/2 in x
0.431 * [backup-simplify]: Simplify 1/2 into 1/2
0.431 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
0.431 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
0.431 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
0.431 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
0.431 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.431 * [taylor]: Taking taylor expansion of 1 in x
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [taylor]: Taking taylor expansion of 1 in x
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [taylor]: Taking taylor expansion of (* x x) in x
0.431 * [taylor]: Taking taylor expansion of x in x
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [taylor]: Taking taylor expansion of x in x
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [backup-simplify]: Simplify (* 1 1) into 1
0.432 * [backup-simplify]: Simplify (* 0 0) into 0
0.432 * [backup-simplify]: Simplify (+ 1 0) into 1
0.432 * [backup-simplify]: Simplify (sqrt 1) into 1
0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.433 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.434 * [backup-simplify]: Simplify (/ 1 1) into 1
0.434 * [taylor]: Taking taylor expansion of 1/2 in x
0.434 * [backup-simplify]: Simplify 1/2 into 1/2
0.434 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.435 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
0.435 * [backup-simplify]: Simplify (sqrt 1) into 1
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
0.437 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
0.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
0.437 * [taylor]: Taking taylor expansion of 1/2 in x
0.437 * [backup-simplify]: Simplify 1/2 into 1/2
0.437 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
0.437 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
0.437 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
0.437 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
0.437 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.437 * [taylor]: Taking taylor expansion of 1 in x
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [taylor]: Taking taylor expansion of 1 in x
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [taylor]: Taking taylor expansion of (* x x) in x
0.437 * [taylor]: Taking taylor expansion of x in x
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [taylor]: Taking taylor expansion of x in x
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (* 0 0) into 0
0.438 * [backup-simplify]: Simplify (+ 1 0) into 1
0.438 * [backup-simplify]: Simplify (sqrt 1) into 1
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.439 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.440 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [taylor]: Taking taylor expansion of 1/2 in x
0.440 * [backup-simplify]: Simplify 1/2 into 1/2
0.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.440 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
0.441 * [backup-simplify]: Simplify (sqrt 1) into 1
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.444 * [backup-simplify]: Simplify (+ 0 1) into 1
0.444 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
0.445 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
0.446 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
0.446 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8
0.446 * [backup-simplify]: Simplify -1/8 into -1/8
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.448 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0
0.451 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
0.456 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
0.456 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16
0.457 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128
0.457 * [backup-simplify]: Simplify 11/128 into 11/128
0.457 * [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)))
0.457 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))
0.457 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0
0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
0.457 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
0.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
0.457 * [taylor]: Taking taylor expansion of 1/2 in x
0.457 * [backup-simplify]: Simplify 1/2 into 1/2
0.457 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
0.457 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
0.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
0.457 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
0.457 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.457 * [taylor]: Taking taylor expansion of 1 in x
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [taylor]: Taking taylor expansion of 1 in x
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (/ 1 1) into 1
0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.458 * [taylor]: Taking taylor expansion of x in x
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [backup-simplify]: Simplify (* 1 1) into 1
0.459 * [backup-simplify]: Simplify (+ 0 1) into 1
0.459 * [backup-simplify]: Simplify (sqrt 1) into 1
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.462 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [taylor]: Taking taylor expansion of 1/2 in x
0.463 * [backup-simplify]: Simplify 1/2 into 1/2
0.463 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.463 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.464 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.464 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.465 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
0.466 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
0.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
0.466 * [taylor]: Taking taylor expansion of 1/2 in x
0.466 * [backup-simplify]: Simplify 1/2 into 1/2
0.466 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
0.466 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
0.466 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
0.466 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
0.466 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.466 * [taylor]: Taking taylor expansion of 1 in x
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [taylor]: Taking taylor expansion of 1 in x
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.466 * [taylor]: Taking taylor expansion of x in x
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.466 * [taylor]: Taking taylor expansion of x in x
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (/ 1 1) into 1
0.467 * [backup-simplify]: Simplify (* 1 1) into 1
0.468 * [backup-simplify]: Simplify (+ 0 1) into 1
0.468 * [backup-simplify]: Simplify (sqrt 1) into 1
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.470 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.471 * [backup-simplify]: Simplify (/ 1 1) into 1
0.471 * [taylor]: Taking taylor expansion of 1/2 in x
0.471 * [backup-simplify]: Simplify 1/2 into 1/2
0.472 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.472 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.473 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.473 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.474 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.475 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.476 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2))
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
0.483 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3))
0.486 * [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)))))
0.486 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))
0.486 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0
0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
0.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
0.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
0.487 * [taylor]: Taking taylor expansion of 1/2 in x
0.487 * [backup-simplify]: Simplify 1/2 into 1/2
0.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
0.487 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
0.487 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
0.487 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
0.487 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.487 * [taylor]: Taking taylor expansion of 1 in x
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [taylor]: Taking taylor expansion of 1 in x
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.487 * [taylor]: Taking taylor expansion of -1 in x
0.487 * [backup-simplify]: Simplify -1 into -1
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (/ -1 1) into -1
0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.487 * [taylor]: Taking taylor expansion of -1 in x
0.487 * [backup-simplify]: Simplify -1 into -1
0.487 * [taylor]: Taking taylor expansion of x in x
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (/ -1 1) into -1
0.488 * [backup-simplify]: Simplify (* -1 -1) into 1
0.488 * [backup-simplify]: Simplify (+ 0 1) into 1
0.488 * [backup-simplify]: Simplify (sqrt 1) into 1
0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.490 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.491 * [taylor]: Taking taylor expansion of 1/2 in x
0.491 * [backup-simplify]: Simplify 1/2 into 1/2
0.491 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.491 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.491 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.492 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.493 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
0.493 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
0.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
0.493 * [taylor]: Taking taylor expansion of 1/2 in x
0.493 * [backup-simplify]: Simplify 1/2 into 1/2
0.493 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
0.493 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
0.493 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
0.493 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
0.493 * [taylor]: Taking taylor expansion of (* 1 1) in x
0.493 * [taylor]: Taking taylor expansion of 1 in x
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of 1 in x
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.493 * [taylor]: Taking taylor expansion of -1 in x
0.493 * [backup-simplify]: Simplify -1 into -1
0.493 * [taylor]: Taking taylor expansion of x in x
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [backup-simplify]: Simplify (/ -1 1) into -1
0.493 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.493 * [taylor]: Taking taylor expansion of -1 in x
0.493 * [backup-simplify]: Simplify -1 into -1
0.493 * [taylor]: Taking taylor expansion of x in x
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.494 * [backup-simplify]: Simplify (/ -1 1) into -1
0.494 * [backup-simplify]: Simplify (* -1 -1) into 1
0.494 * [backup-simplify]: Simplify (+ 0 1) into 1
0.494 * [backup-simplify]: Simplify (sqrt 1) into 1
0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.497 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [taylor]: Taking taylor expansion of 1/2 in x
0.497 * [backup-simplify]: Simplify 1/2 into 1/2
0.497 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
0.497 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.497 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.498 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
0.500 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
0.500 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
0.501 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2))
0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.502 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
0.506 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3))
0.508 * [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))))))
0.509 * * * [progress]: simplifying candidates
0.509 * * * * [progress]: [ 1 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))))))>
0.509 * * * * [progress]: [ 2 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))))))>
0.509 * * * * [progress]: [ 3 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))))>
0.509 * * * * [progress]: [ 4 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))>
0.509 * * * * [progress]: [ 5 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))>
0.509 * * * * [progress]: [ 6 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))))>
0.509 * * * * [progress]: [ 7 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))>
0.509 * * * * [progress]: [ 8 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))))))>
0.509 * * * * [progress]: [ 9 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))))))>
0.509 * * * * [progress]: [ 10 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))))>
0.509 * * * * [progress]: [ 11 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))>
0.509 * * * * [progress]: [ 12 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))>
0.509 * * * * [progress]: [ 13 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))))>
0.509 * * * * [progress]: [ 14 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))>
0.509 * * * * [progress]: [ 15 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))))))>
0.509 * * * * [progress]: [ 16 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))))))>
0.509 * * * * [progress]: [ 17 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))))>
0.509 * * * * [progress]: [ 18 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))>
0.510 * * * * [progress]: [ 19 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))>
0.510 * * * * [progress]: [ 20 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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)))))))>
0.510 * * * * [progress]: [ 21 / 104 ] simplifiying candidate #<alt (λ (x) (+ (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))))>
0.510 * * * * [progress]: [ 22 / 104 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 24 / 104 ] simplifiying candidate #<alt (λ (x) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.510 * * * * [progress]: [ 25 / 104 ] simplifiying candidate #<alt (λ (x) (fma (sqrt 1) (sqrt 1) (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.510 * * * * [progress]: [ 26 / 104 ] simplifiying candidate #<alt (λ (x) (fma 1 1 (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.510 * * * * [progress]: [ 27 / 104 ] simplifiying candidate #<alt (λ (x) (log (/ (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 28 / 104 ] simplifiying candidate #<alt (λ (x) (pow (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1))>
0.510 * * * * [progress]: [ 29 / 104 ] simplifiying candidate #<alt (λ (x) (exp (log (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 30 / 104 ] simplifiying candidate #<alt (λ (x) (log (exp (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 31 / 104 ] simplifiying candidate #<alt (λ (x) (* (* (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))))))>
0.510 * * * * [progress]: [ 32 / 104 ] simplifiying candidate #<alt (λ (x) (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))))))>
0.510 * * * * [progress]: [ 33 / 104 ] simplifiying candidate #<alt (λ (x) (* (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 34 / 104 ] simplifiying candidate #<alt (λ (x) (/ (- (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)))))))>
0.510 * * * * [progress]: [ 35 / 104 ] simplifiying candidate #<alt (λ (x) (+ 1 (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.510 * * * * [progress]: [ 36 / 104 ] simplifiying candidate #<alt (λ (x) (* 1 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.510 * * * * [progress]: [ 37 / 104 ] simplifiying candidate #<alt (λ (x) (/ (- (* 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)))))>
0.510 * * * * [progress]: [ 38 / 104 ] simplifiying candidate #<alt (λ (x) (* (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 39 / 104 ] simplifiying candidate #<alt (λ (x) (* (+ (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- (sqrt 1) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 40 / 104 ] simplifiying candidate #<alt (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 41 / 104 ] simplifiying candidate #<alt (λ (x) (* (+ 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (- 1 (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.510 * * * * [progress]: [ 42 / 104 ] simplifiying candidate #<alt (λ (x) (* (sqrt 1) (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.510 * * * * [progress]: [ 43 / 104 ] simplifiying candidate #<alt (λ (x) (* (sqrt 1) (- (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.511 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #<alt (λ (x) (* 1 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.511 * * * * [progress]: [ 45 / 104 ] simplifiying candidate #<alt (λ (x) (+ 1 (- (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.511 * * * * [progress]: [ 46 / 104 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 47 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (log1p (expm1 (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 48 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (expm1 (log1p (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 49 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x)))) (cbrt (/ 1/2 (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 50 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 51 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 52 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (cbrt 1/2) (sqrt (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 53 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (/ (cbrt 1/2) (hypot 1 x)) 1/2))))>
0.511 * * * * [progress]: [ 54 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (cbrt (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 55 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 56 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ (sqrt 1/2) 1) (/ (sqrt 1/2) (hypot 1 x)) 1/2))))>
0.511 * * * * [progress]: [ 57 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1/2 (cbrt (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 58 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ 1 (sqrt (hypot 1 x))) (/ 1/2 (sqrt (hypot 1 x))) 1/2))))>
0.511 * * * * [progress]: [ 59 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma (/ 1 1) (/ 1/2 (hypot 1 x)) 1/2))))>
0.511 * * * * [progress]: [ 60 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma 1 (/ 1/2 (hypot 1 x)) 1/2))))>
0.511 * * * * [progress]: [ 61 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (fma 1/2 (/ 1 (hypot 1 x)) 1/2))))>
0.511 * * * * [progress]: [ 62 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (log (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2))))))>
0.511 * * * * [progress]: [ 63 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1))))>
0.511 * * * * [progress]: [ 64 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (exp (log (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (log (exp (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 66 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (* (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 67 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (cbrt (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 68 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.511 * * * * [progress]: [ 69 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (/ (+ (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)))))))>
0.512 * * * * [progress]: [ 70 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (* 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 71 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (/ (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2)) (- (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 72 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (* 1 (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 73 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (posit16->real (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 74 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))>
0.512 * * * * [progress]: [ 75 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (log1p (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 76 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (expm1 (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 77 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))>
0.512 * * * * [progress]: [ 78 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (hypot (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2))))>
0.512 * * * * [progress]: [ 79 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1/2)))>
0.512 * * * * [progress]: [ 80 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))>
0.512 * * * * [progress]: [ 81 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (exp (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 82 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (log (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 83 / 104 ] simplifiying candidate #<alt (λ (x) (- 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))))))>
0.512 * * * * [progress]: [ 84 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (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))))))>
0.512 * * * * [progress]: [ 85 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (* (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))))))>
0.512 * * * * [progress]: [ 86 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 87 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (* (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 88 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (* (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 89 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (/ (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)))))))>
0.512 * * * * [progress]: [ 90 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (/ (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 91 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (pow (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1 2))))>
0.512 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 93 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (fabs (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 94 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
0.512 * * * * [progress]: [ 95 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (posit16->real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
0.512 * * * * [progress]: [ 96 / 104 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))))>
0.513 * * * * [progress]: [ 97 / 104 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))))>
0.513 * * * * [progress]: [ 98 / 104 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)))>
0.513 * * * * [progress]: [ 99 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))))))>
0.513 * * * * [progress]: [ 100 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))))))>
0.513 * * * * [progress]: [ 101 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (sqrt (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))))))>
0.513 * * * * [progress]: [ 102 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2)))))>
0.513 * * * * [progress]: [ 103 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))>
0.513 * * * * [progress]: [ 104 / 104 ] simplifiying candidate #<alt (λ (x) (- 1 (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))>
0.514 * [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)) 1/2)), (log1p (+ (/ 1/2 (hypot 1 x)) 1/2)), (* (exp (/ 1/2 (hypot 1 x))) (exp 1/2)), (log (+ (/ 1/2 (hypot 1 x)) 1/2)), (exp (+ (/ 1/2 (hypot 1 x)) 1/2)), (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)), (* (* (+ (/ 1/2 (hypot 1 x)) 1/2) (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)), (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)), (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)), (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3)), (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2))), (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2)), (- (/ 1/2 (hypot 1 x)) 1/2), (+ (/ 1/2 (hypot 1 x)) 1/2), (real->posit16 (+ (/ 1/2 (hypot 1 x)) 1/2)), (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (* (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (cbrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (* (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (sqrt (* (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2)))), (sqrt (cbrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (sqrt 1), (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)), (sqrt 1), (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)), (sqrt (+ (pow (/ 1/2 (hypot 1 x)) 3) (pow 1/2 3))), (sqrt (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) 1/2)))), (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))), (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)), (/ 1 2), (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))), (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))), (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) 1) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2))), (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) 1)) (sqrt 1/2)), (- (+ (* 3/16 (pow x 4)) 1) (* 1/4 (pow x 2))), (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))), (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))), (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))), (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))), (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
0.516 * * [simplify]: iteration 1: (160 enodes)
0.633 * * [simplify]: iteration 2: (672 enodes)
0.854 * * [simplify]: iteration 3: (1342 enodes)
1.453 * * [simplify]: Extracting #0: cost 60 inf + 0
1.455 * * [simplify]: Extracting #1: cost 374 inf + 2
1.461 * * [simplify]: Extracting #2: cost 798 inf + 1784
1.476 * * [simplify]: Extracting #3: cost 657 inf + 26447
1.508 * * [simplify]: Extracting #4: cost 435 inf + 71646
1.535 * * [simplify]: Extracting #5: cost 268 inf + 114860
1.597 * * [simplify]: Extracting #6: cost 33 inf + 195683
1.662 * * [simplify]: Extracting #7: cost 0 inf + 207940
1.746 * * [simplify]: Extracting #8: cost 0 inf + 207925
1.831 * [simplify]: Simplified to (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (* (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (* (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (+ (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))))))), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) 0), (expm1 (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (log1p (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (log (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (exp (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (* (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))))), (cbrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (* (* (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))) (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (sqrt (- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- 1 (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x))))), (+ (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (- (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (- 1/2 (/ 1/2 (hypot 1 x))), (+ 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (+ (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 (/ 1/2 (hypot 1 x)))), (log1p (+ 1/2 (/ 1/2 (hypot 1 x)))), (exp (+ 1/2 (/ 1/2 (hypot 1 x)))), (log (+ 1/2 (/ 1/2 (hypot 1 x)))), (exp (+ 1/2 (/ 1/2 (hypot 1 x)))), (* (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (cbrt (+ 1/2 (/ 1/2 (hypot 1 x)))), (* (* (+ 1/2 (/ 1/2 (hypot 1 x))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))), (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))), (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))), (+ 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x))))), (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x))))), (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4), (- (/ 1/2 (hypot 1 x)) 1/2), (+ 1/2 (/ 1/2 (hypot 1 x))), (real->posit16 (+ 1/2 (/ 1/2 (hypot 1 x)))), (expm1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (log1p (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (log (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (exp (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))), (cbrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (* (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))), (fabs (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (sqrt (cbrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), 1, (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))), 1, (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))), (sqrt (+ 1/8 (/ 1/8 (* (hypot 1 x) (* (hypot 1 x) (hypot 1 x)))))), (sqrt (- 1/4 (* (/ 1/2 (hypot 1 x)) (- 1/2 (/ 1/2 (hypot 1 x)))))), (sqrt (fma (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)) -1/4)), (sqrt (- (/ 1/2 (hypot 1 x)) 1/2)), 1/2, (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (sqrt (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (real->posit16 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x))))), (fma 1/8 (* x x) (fma 69/1024 (* (* x x) (* (* x x) (* x x))) (* (* (* x x) (* x x)) -11/128))), (+ (- (- 1 (sqrt 1/2)) (/ (/ 1/4 x) (sqrt 1/2))) (/ (/ 1/16 (sqrt 1/2)) (* x x))), (+ (- 1 (sqrt 1/2)) (+ (/ (/ 1/16 (sqrt 1/2)) (* x x)) (/ (/ 1/4 x) (sqrt 1/2)))), (fma (* x x) -1/4 (fma 3/16 (* (* x x) (* x x)) 1)), (+ 1/2 (- (/ 1/2 x) (* (/ (/ 1/2 x) x) (/ 1/2 x)))), (fma (/ (/ 1/2 x) x) (/ 1/2 x) (- 1/2 (/ 1/2 x))), (fma -1/8 (* x x) (fma (* (* x x) (* x x)) 11/128 1)), (+ (/ (/ 1/4 x) (sqrt 1/2)) (- (sqrt 1/2) (/ (/ 1/16 (sqrt 1/2)) (* x x)))), (+ (sqrt 1/2) (- (/ -1/4 (* (sqrt 1/2) x)) (/ (/ 1/16 (sqrt 1/2)) (* x x))))
1.845 * * * [progress]: adding candidates to table
2.662 * * [progress]: iteration 2 / 4
2.662 * * * [progress]: picking best candidate
2.672 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
2.672 * * * [progress]: localizing error
2.704 * * * [progress]: generating rewritten candidates
2.704 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
2.722 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
2.756 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
2.856 * * * [progress]: generating series expansions
2.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
2.857 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x))))
2.857 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0
2.857 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x
2.857 * [taylor]: Taking taylor expansion of 1/2 in x
2.857 * [backup-simplify]: Simplify 1/2 into 1/2
2.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
2.857 * [taylor]: Taking taylor expansion of 1/2 in x
2.857 * [backup-simplify]: Simplify 1/2 into 1/2
2.857 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
2.857 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
2.857 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
2.857 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
2.857 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.857 * [taylor]: Taking taylor expansion of 1 in x
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of 1 in x
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of (* x x) in x
2.857 * [taylor]: Taking taylor expansion of x in x
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of x in x
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (* 1 1) into 1
2.859 * [backup-simplify]: Simplify (* 0 0) into 0
2.859 * [backup-simplify]: Simplify (+ 1 0) into 1
2.859 * [backup-simplify]: Simplify (sqrt 1) into 1
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.861 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.861 * [backup-simplify]: Simplify (+ 0 0) into 0
2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.863 * [backup-simplify]: Simplify (/ 1 1) into 1
2.863 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x
2.863 * [taylor]: Taking taylor expansion of 1/2 in x
2.863 * [backup-simplify]: Simplify 1/2 into 1/2
2.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
2.863 * [taylor]: Taking taylor expansion of 1/2 in x
2.863 * [backup-simplify]: Simplify 1/2 into 1/2
2.863 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
2.863 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
2.863 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
2.863 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
2.863 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.863 * [taylor]: Taking taylor expansion of 1 in x
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [taylor]: Taking taylor expansion of 1 in x
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [taylor]: Taking taylor expansion of (* x x) in x
2.863 * [taylor]: Taking taylor expansion of x in x
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [taylor]: Taking taylor expansion of x in x
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 1 into 1
2.864 * [backup-simplify]: Simplify (* 1 1) into 1
2.864 * [backup-simplify]: Simplify (* 0 0) into 0
2.864 * [backup-simplify]: Simplify (+ 1 0) into 1
2.865 * [backup-simplify]: Simplify (sqrt 1) into 1
2.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.866 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.867 * [backup-simplify]: Simplify (+ 0 0) into 0
2.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.868 * [backup-simplify]: Simplify (/ 1 1) into 1
2.869 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.869 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.869 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0
2.869 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.872 * [backup-simplify]: Simplify (- 0) into 0
2.872 * [backup-simplify]: Simplify (+ 0 0) into 0
2.872 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.874 * [backup-simplify]: Simplify (+ 0 1) into 1
2.875 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
2.878 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
2.878 * [backup-simplify]: Simplify (- -1/4) into 1/4
2.879 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.879 * [backup-simplify]: Simplify 1/4 into 1/4
2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.882 * [backup-simplify]: Simplify (+ 0 0) into 0
2.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
2.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
2.887 * [backup-simplify]: Simplify (- 0) into 0
2.887 * [backup-simplify]: Simplify (+ 0 0) into 0
2.887 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.890 * [backup-simplify]: Simplify (+ 0 0) into 0
2.892 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
2.895 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
2.896 * [backup-simplify]: Simplify (- 3/16) into -3/16
2.896 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16
2.896 * [backup-simplify]: Simplify -3/16 into -3/16
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
2.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
2.899 * [backup-simplify]: Simplify (+ 0 0) into 0
2.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0
2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0
2.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0
2.906 * [backup-simplify]: Simplify (- 0) into 0
2.906 * [backup-simplify]: Simplify (+ 0 0) into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
2.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
2.910 * [backup-simplify]: Simplify (+ 0 0) into 0
2.912 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
2.915 * [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
2.918 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32
2.918 * [backup-simplify]: Simplify (- -5/32) into 5/32
2.919 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32
2.919 * [backup-simplify]: Simplify 5/32 into 5/32
2.919 * [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)))
2.920 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))
2.920 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0
2.920 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
2.920 * [taylor]: Taking taylor expansion of 1/2 in x
2.920 * [backup-simplify]: Simplify 1/2 into 1/2
2.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
2.920 * [taylor]: Taking taylor expansion of 1/2 in x
2.920 * [backup-simplify]: Simplify 1/2 into 1/2
2.920 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
2.920 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
2.920 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
2.920 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
2.920 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.920 * [taylor]: Taking taylor expansion of 1 in x
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [taylor]: Taking taylor expansion of 1 in x
2.920 * [backup-simplify]: Simplify 1 into 1
2.920 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.920 * [taylor]: Taking taylor expansion of x in x
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.921 * [backup-simplify]: Simplify (/ 1 1) into 1
2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.921 * [taylor]: Taking taylor expansion of x in x
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify 1 into 1
2.921 * [backup-simplify]: Simplify (/ 1 1) into 1
2.922 * [backup-simplify]: Simplify (* 1 1) into 1
2.922 * [backup-simplify]: Simplify (+ 0 1) into 1
2.922 * [backup-simplify]: Simplify (sqrt 1) into 1
2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.925 * [backup-simplify]: Simplify (+ 0 0) into 0
2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.926 * [backup-simplify]: Simplify (/ 1 1) into 1
2.926 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
2.926 * [taylor]: Taking taylor expansion of 1/2 in x
2.926 * [backup-simplify]: Simplify 1/2 into 1/2
2.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
2.926 * [taylor]: Taking taylor expansion of 1/2 in x
2.926 * [backup-simplify]: Simplify 1/2 into 1/2
2.926 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
2.926 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
2.926 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
2.926 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
2.926 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.926 * [taylor]: Taking taylor expansion of 1 in x
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [taylor]: Taking taylor expansion of 1 in x
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.927 * [taylor]: Taking taylor expansion of x in x
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify (/ 1 1) into 1
2.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.927 * [taylor]: Taking taylor expansion of x in x
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify (/ 1 1) into 1
2.928 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (+ 0 1) into 1
2.929 * [backup-simplify]: Simplify (sqrt 1) into 1
2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.932 * [backup-simplify]: Simplify (+ 0 0) into 0
2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.933 * [backup-simplify]: Simplify (/ 1 1) into 1
2.933 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.933 * [backup-simplify]: Simplify 1/2 into 1/2
2.934 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.934 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.934 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.934 * [backup-simplify]: Simplify -1/2 into -1/2
2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.936 * [backup-simplify]: Simplify (- 0) into 0
2.937 * [backup-simplify]: Simplify (+ 0 0) into 0
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify (* 1 1) into 1
2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.940 * [backup-simplify]: Simplify (+ 1 0) into 1
2.942 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
2.944 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
2.944 * [backup-simplify]: Simplify (- -1/4) into 1/4
2.945 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.945 * [backup-simplify]: Simplify 1/4 into 1/4
2.945 * [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)))
2.945 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))
2.945 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0
2.945 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
2.945 * [taylor]: Taking taylor expansion of 1/2 in x
2.945 * [backup-simplify]: Simplify 1/2 into 1/2
2.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
2.945 * [taylor]: Taking taylor expansion of 1/2 in x
2.945 * [backup-simplify]: Simplify 1/2 into 1/2
2.945 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
2.945 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
2.946 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
2.946 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
2.946 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.946 * [taylor]: Taking taylor expansion of 1 in x
2.946 * [backup-simplify]: Simplify 1 into 1
2.946 * [taylor]: Taking taylor expansion of 1 in x
2.946 * [backup-simplify]: Simplify 1 into 1
2.946 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.946 * [taylor]: Taking taylor expansion of -1 in x
2.946 * [backup-simplify]: Simplify -1 into -1
2.946 * [taylor]: Taking taylor expansion of x in x
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 1 into 1
2.946 * [backup-simplify]: Simplify (/ -1 1) into -1
2.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.946 * [taylor]: Taking taylor expansion of -1 in x
2.946 * [backup-simplify]: Simplify -1 into -1
2.946 * [taylor]: Taking taylor expansion of x in x
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 1 into 1
2.947 * [backup-simplify]: Simplify (/ -1 1) into -1
2.947 * [backup-simplify]: Simplify (* -1 -1) into 1
2.948 * [backup-simplify]: Simplify (+ 0 1) into 1
2.948 * [backup-simplify]: Simplify (sqrt 1) into 1
2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.954 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.954 * [backup-simplify]: Simplify (+ 0 0) into 0
2.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.955 * [backup-simplify]: Simplify (/ 1 1) into 1
2.955 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
2.955 * [taylor]: Taking taylor expansion of 1/2 in x
2.955 * [backup-simplify]: Simplify 1/2 into 1/2
2.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
2.955 * [taylor]: Taking taylor expansion of 1/2 in x
2.955 * [backup-simplify]: Simplify 1/2 into 1/2
2.956 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
2.956 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
2.956 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
2.956 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
2.956 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.956 * [taylor]: Taking taylor expansion of 1 in x
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [taylor]: Taking taylor expansion of 1 in x
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.956 * [taylor]: Taking taylor expansion of -1 in x
2.956 * [backup-simplify]: Simplify -1 into -1
2.956 * [taylor]: Taking taylor expansion of x in x
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [backup-simplify]: Simplify (/ -1 1) into -1
2.956 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.956 * [taylor]: Taking taylor expansion of -1 in x
2.957 * [backup-simplify]: Simplify -1 into -1
2.957 * [taylor]: Taking taylor expansion of x in x
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (/ -1 1) into -1
2.957 * [backup-simplify]: Simplify (* -1 -1) into 1
2.958 * [backup-simplify]: Simplify (+ 0 1) into 1
2.958 * [backup-simplify]: Simplify (sqrt 1) into 1
2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.961 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.961 * [backup-simplify]: Simplify (+ 0 0) into 0
2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.962 * [backup-simplify]: Simplify (/ 1 1) into 1
2.963 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.963 * [backup-simplify]: Simplify 1/2 into 1/2
2.963 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.964 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.964 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.964 * [backup-simplify]: Simplify -1/2 into -1/2
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.966 * [backup-simplify]: Simplify (- 0) into 0
2.966 * [backup-simplify]: Simplify (+ 0 0) into 0
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify (* 1 1) into 1
2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.970 * [backup-simplify]: Simplify (+ 1 0) into 1
2.971 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
2.974 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
2.974 * [backup-simplify]: Simplify (- -1/4) into 1/4
2.974 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.974 * [backup-simplify]: Simplify 1/4 into 1/4
2.975 * [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))))
2.975 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
2.975 * [backup-simplify]: Simplify (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) into (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)
2.975 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in (x) around 0
2.975 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x
2.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
2.975 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
2.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
2.975 * [taylor]: Taking taylor expansion of 1/2 in x
2.975 * [backup-simplify]: Simplify 1/2 into 1/2
2.975 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
2.975 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
2.975 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
2.975 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
2.975 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.975 * [taylor]: Taking taylor expansion of 1 in x
2.975 * [backup-simplify]: Simplify 1 into 1
2.975 * [taylor]: Taking taylor expansion of 1 in x
2.975 * [backup-simplify]: Simplify 1 into 1
2.975 * [taylor]: Taking taylor expansion of (* x x) in x
2.976 * [taylor]: Taking taylor expansion of x in x
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.976 * [taylor]: Taking taylor expansion of x in x
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.976 * [backup-simplify]: Simplify (* 1 1) into 1
2.976 * [backup-simplify]: Simplify (* 0 0) into 0
2.977 * [backup-simplify]: Simplify (+ 1 0) into 1
2.977 * [backup-simplify]: Simplify (sqrt 1) into 1
2.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.979 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.979 * [backup-simplify]: Simplify (+ 0 0) into 0
2.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.980 * [backup-simplify]: Simplify (/ 1 1) into 1
2.980 * [taylor]: Taking taylor expansion of 1/2 in x
2.980 * [backup-simplify]: Simplify 1/2 into 1/2
2.981 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.981 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.982 * [backup-simplify]: Simplify (sqrt 1) into 1
2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.984 * [taylor]: Taking taylor expansion of 1 in x
2.984 * [backup-simplify]: Simplify 1 into 1
2.984 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x
2.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
2.984 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
2.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
2.985 * [taylor]: Taking taylor expansion of 1/2 in x
2.985 * [backup-simplify]: Simplify 1/2 into 1/2
2.985 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
2.985 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
2.985 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
2.985 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
2.985 * [taylor]: Taking taylor expansion of (* 1 1) in x
2.985 * [taylor]: Taking taylor expansion of 1 in x
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [taylor]: Taking taylor expansion of 1 in x
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [taylor]: Taking taylor expansion of (* x x) in x
2.985 * [taylor]: Taking taylor expansion of x in x
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [taylor]: Taking taylor expansion of x in x
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [backup-simplify]: Simplify (* 1 1) into 1
2.986 * [backup-simplify]: Simplify (* 0 0) into 0
2.986 * [backup-simplify]: Simplify (+ 1 0) into 1
2.987 * [backup-simplify]: Simplify (sqrt 1) into 1
2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.988 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.988 * [backup-simplify]: Simplify (+ 0 0) into 0
2.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.990 * [backup-simplify]: Simplify (/ 1 1) into 1
2.990 * [taylor]: Taking taylor expansion of 1/2 in x
2.990 * [backup-simplify]: Simplify 1/2 into 1/2
2.990 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.991 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
2.991 * [backup-simplify]: Simplify (sqrt 1) into 1
2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.993 * [backup-simplify]: Simplify (+ 0 0) into 0
2.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.994 * [taylor]: Taking taylor expansion of 1 in x
2.994 * [backup-simplify]: Simplify 1 into 1
2.994 * [backup-simplify]: Simplify (+ 1 1) into 2
2.994 * [backup-simplify]: Simplify 2 into 2
2.995 * [backup-simplify]: Simplify (+ 0 0) into 0
2.995 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.997 * [backup-simplify]: Simplify (+ 0 1) into 1
2.998 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
3.000 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
3.001 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
3.002 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8
3.002 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8
3.002 * [backup-simplify]: Simplify -1/8 into -1/8
3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
3.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
3.010 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0
3.012 * [backup-simplify]: Simplify (+ 0 0) into 0
3.012 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.015 * [backup-simplify]: Simplify (+ 0 0) into 0
3.016 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
3.020 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
3.020 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16
3.022 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128
3.022 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128
3.022 * [backup-simplify]: Simplify 11/128 into 11/128
3.023 * [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)))
3.023 * [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)
3.023 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in (x) around 0
3.023 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x
3.023 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
3.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
3.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.023 * [taylor]: Taking taylor expansion of 1/2 in x
3.023 * [backup-simplify]: Simplify 1/2 into 1/2
3.023 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.023 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.023 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.023 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.023 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.023 * [taylor]: Taking taylor expansion of 1 in x
3.023 * [backup-simplify]: Simplify 1 into 1
3.023 * [taylor]: Taking taylor expansion of 1 in x
3.023 * [backup-simplify]: Simplify 1 into 1
3.023 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.023 * [taylor]: Taking taylor expansion of x in x
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify 1 into 1
3.024 * [backup-simplify]: Simplify (/ 1 1) into 1
3.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.024 * [taylor]: Taking taylor expansion of x in x
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.024 * [backup-simplify]: Simplify (/ 1 1) into 1
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.025 * [backup-simplify]: Simplify (+ 0 1) into 1
3.025 * [backup-simplify]: Simplify (sqrt 1) into 1
3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.028 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.029 * [backup-simplify]: Simplify (/ 1 1) into 1
3.029 * [taylor]: Taking taylor expansion of 1/2 in x
3.029 * [backup-simplify]: Simplify 1/2 into 1/2
3.030 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.030 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.030 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.031 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.032 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.032 * [taylor]: Taking taylor expansion of 1 in x
3.032 * [backup-simplify]: Simplify 1 into 1
3.032 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x
3.032 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
3.033 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
3.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.033 * [taylor]: Taking taylor expansion of 1/2 in x
3.033 * [backup-simplify]: Simplify 1/2 into 1/2
3.033 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.033 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.033 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.033 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.033 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.033 * [taylor]: Taking taylor expansion of 1 in x
3.033 * [backup-simplify]: Simplify 1 into 1
3.033 * [taylor]: Taking taylor expansion of 1 in x
3.033 * [backup-simplify]: Simplify 1 into 1
3.033 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.033 * [taylor]: Taking taylor expansion of x in x
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 1 into 1
3.033 * [backup-simplify]: Simplify (/ 1 1) into 1
3.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.033 * [taylor]: Taking taylor expansion of x in x
3.033 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify 1 into 1
3.034 * [backup-simplify]: Simplify (/ 1 1) into 1
3.034 * [backup-simplify]: Simplify (* 1 1) into 1
3.035 * [backup-simplify]: Simplify (+ 0 1) into 1
3.035 * [backup-simplify]: Simplify (sqrt 1) into 1
3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.038 * [backup-simplify]: Simplify (+ 0 0) into 0
3.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.039 * [backup-simplify]: Simplify (/ 1 1) into 1
3.039 * [taylor]: Taking taylor expansion of 1/2 in x
3.039 * [backup-simplify]: Simplify 1/2 into 1/2
3.039 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.040 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.040 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.040 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.042 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.042 * [taylor]: Taking taylor expansion of 1 in x
3.042 * [backup-simplify]: Simplify 1 into 1
3.043 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.044 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.046 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2)))
3.047 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.049 * [backup-simplify]: Simplify (+ 0 0) into 0
3.055 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
3.057 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))
3.061 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))
3.067 * [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)))))
3.067 * [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)
3.067 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in (x) around 0
3.067 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x
3.067 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
3.067 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
3.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.067 * [taylor]: Taking taylor expansion of 1/2 in x
3.067 * [backup-simplify]: Simplify 1/2 into 1/2
3.067 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.067 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.067 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.067 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.067 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.067 * [taylor]: Taking taylor expansion of 1 in x
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [taylor]: Taking taylor expansion of 1 in x
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.067 * [taylor]: Taking taylor expansion of -1 in x
3.068 * [backup-simplify]: Simplify -1 into -1
3.068 * [taylor]: Taking taylor expansion of x in x
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (/ -1 1) into -1
3.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.068 * [taylor]: Taking taylor expansion of -1 in x
3.068 * [backup-simplify]: Simplify -1 into -1
3.068 * [taylor]: Taking taylor expansion of x in x
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.069 * [backup-simplify]: Simplify (/ -1 1) into -1
3.069 * [backup-simplify]: Simplify (* -1 -1) into 1
3.069 * [backup-simplify]: Simplify (+ 0 1) into 1
3.070 * [backup-simplify]: Simplify (sqrt 1) into 1
3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.073 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.073 * [backup-simplify]: Simplify (+ 0 0) into 0
3.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.074 * [backup-simplify]: Simplify (/ 1 1) into 1
3.074 * [taylor]: Taking taylor expansion of 1/2 in x
3.074 * [backup-simplify]: Simplify 1/2 into 1/2
3.075 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.075 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.075 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.076 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.077 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.077 * [taylor]: Taking taylor expansion of 1 in x
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x
3.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
3.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
3.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.078 * [taylor]: Taking taylor expansion of 1/2 in x
3.078 * [backup-simplify]: Simplify 1/2 into 1/2
3.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.078 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.078 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.078 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.078 * [taylor]: Taking taylor expansion of 1 in x
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [taylor]: Taking taylor expansion of 1 in x
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.078 * [taylor]: Taking taylor expansion of -1 in x
3.078 * [backup-simplify]: Simplify -1 into -1
3.078 * [taylor]: Taking taylor expansion of x in x
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (/ -1 1) into -1
3.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.079 * [taylor]: Taking taylor expansion of -1 in x
3.079 * [backup-simplify]: Simplify -1 into -1
3.079 * [taylor]: Taking taylor expansion of x in x
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (/ -1 1) into -1
3.080 * [backup-simplify]: Simplify (* -1 -1) into 1
3.080 * [backup-simplify]: Simplify (+ 0 1) into 1
3.080 * [backup-simplify]: Simplify (sqrt 1) into 1
3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.083 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.083 * [backup-simplify]: Simplify (+ 0 0) into 0
3.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.085 * [backup-simplify]: Simplify (/ 1 1) into 1
3.085 * [taylor]: Taking taylor expansion of 1/2 in x
3.085 * [backup-simplify]: Simplify 1/2 into 1/2
3.085 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.085 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.086 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.086 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.088 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.088 * [taylor]: Taking taylor expansion of 1 in x
3.088 * [backup-simplify]: Simplify 1 into 1
3.089 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.090 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.091 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2)))
3.093 * [backup-simplify]: Simplify (* 1/4 (/ 1 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.095 * [backup-simplify]: Simplify (+ 0 0) into 0
3.102 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
3.105 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))
3.108 * [backup-simplify]: Simplify (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))
3.114 * [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))))))
3.114 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.114 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))
3.114 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in (x) around 0
3.114 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x
3.114 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x
3.114 * [taylor]: Taking taylor expansion of 1/2 in x
3.114 * [backup-simplify]: Simplify 1/2 into 1/2
3.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
3.114 * [taylor]: Taking taylor expansion of 1/2 in x
3.114 * [backup-simplify]: Simplify 1/2 into 1/2
3.114 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
3.114 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
3.114 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
3.114 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
3.114 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.114 * [taylor]: Taking taylor expansion of 1 in x
3.114 * [backup-simplify]: Simplify 1 into 1
3.115 * [taylor]: Taking taylor expansion of 1 in x
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [taylor]: Taking taylor expansion of (* x x) in x
3.115 * [taylor]: Taking taylor expansion of x in x
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [taylor]: Taking taylor expansion of x in x
3.115 * [backup-simplify]: Simplify 0 into 0
3.115 * [backup-simplify]: Simplify 1 into 1
3.115 * [backup-simplify]: Simplify (* 1 1) into 1
3.115 * [backup-simplify]: Simplify (* 0 0) into 0
3.115 * [backup-simplify]: Simplify (+ 1 0) into 1
3.116 * [backup-simplify]: Simplify (sqrt 1) into 1
3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.117 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.117 * [backup-simplify]: Simplify (+ 0 0) into 0
3.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.117 * [backup-simplify]: Simplify (/ 1 1) into 1
3.117 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x
3.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
3.118 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
3.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
3.118 * [taylor]: Taking taylor expansion of 1/2 in x
3.118 * [backup-simplify]: Simplify 1/2 into 1/2
3.118 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
3.118 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
3.118 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
3.118 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
3.118 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.118 * [taylor]: Taking taylor expansion of 1 in x
3.118 * [backup-simplify]: Simplify 1 into 1
3.118 * [taylor]: Taking taylor expansion of 1 in x
3.118 * [backup-simplify]: Simplify 1 into 1
3.118 * [taylor]: Taking taylor expansion of (* x x) in x
3.118 * [taylor]: Taking taylor expansion of x in x
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 1 into 1
3.118 * [taylor]: Taking taylor expansion of x in x
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 1 into 1
3.118 * [backup-simplify]: Simplify (* 1 1) into 1
3.118 * [backup-simplify]: Simplify (* 0 0) into 0
3.119 * [backup-simplify]: Simplify (+ 1 0) into 1
3.119 * [backup-simplify]: Simplify (sqrt 1) into 1
3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.120 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.120 * [backup-simplify]: Simplify (+ 0 0) into 0
3.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.120 * [backup-simplify]: Simplify (/ 1 1) into 1
3.121 * [taylor]: Taking taylor expansion of 1/2 in x
3.121 * [backup-simplify]: Simplify 1/2 into 1/2
3.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.121 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
3.121 * [backup-simplify]: Simplify (sqrt 1) into 1
3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.122 * [backup-simplify]: Simplify (+ 0 0) into 0
3.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.123 * [taylor]: Taking taylor expansion of 1 in x
3.123 * [backup-simplify]: Simplify 1 into 1
3.123 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.123 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.124 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0
3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.125 * [backup-simplify]: Simplify (- 0) into 0
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.126 * [backup-simplify]: Simplify (+ 0 1) into 1
3.127 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
3.128 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
3.128 * [backup-simplify]: Simplify (- -1/4) into 1/4
3.129 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.129 * [backup-simplify]: Simplify (+ 1 1) into 2
3.129 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8
3.129 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x
3.129 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x
3.129 * [taylor]: Taking taylor expansion of 1/2 in x
3.129 * [backup-simplify]: Simplify 1/2 into 1/2
3.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
3.129 * [taylor]: Taking taylor expansion of 1/2 in x
3.129 * [backup-simplify]: Simplify 1/2 into 1/2
3.129 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
3.129 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
3.129 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
3.129 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
3.129 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.129 * [taylor]: Taking taylor expansion of 1 in x
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of 1 in x
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of (* x x) in x
3.130 * [taylor]: Taking taylor expansion of x in x
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of x in x
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [backup-simplify]: Simplify (* 1 1) into 1
3.130 * [backup-simplify]: Simplify (* 0 0) into 0
3.130 * [backup-simplify]: Simplify (+ 1 0) into 1
3.131 * [backup-simplify]: Simplify (sqrt 1) into 1
3.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.131 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.132 * [backup-simplify]: Simplify (+ 0 0) into 0
3.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.132 * [backup-simplify]: Simplify (/ 1 1) into 1
3.132 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x
3.132 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
3.132 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
3.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
3.132 * [taylor]: Taking taylor expansion of 1/2 in x
3.132 * [backup-simplify]: Simplify 1/2 into 1/2
3.132 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
3.132 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
3.132 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
3.133 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
3.133 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.133 * [taylor]: Taking taylor expansion of 1 in x
3.133 * [backup-simplify]: Simplify 1 into 1
3.133 * [taylor]: Taking taylor expansion of 1 in x
3.133 * [backup-simplify]: Simplify 1 into 1
3.133 * [taylor]: Taking taylor expansion of (* x x) in x
3.133 * [taylor]: Taking taylor expansion of x in x
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 1 into 1
3.133 * [taylor]: Taking taylor expansion of x in x
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 1 into 1
3.133 * [backup-simplify]: Simplify (* 1 1) into 1
3.133 * [backup-simplify]: Simplify (* 0 0) into 0
3.133 * [backup-simplify]: Simplify (+ 1 0) into 1
3.134 * [backup-simplify]: Simplify (sqrt 1) into 1
3.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.134 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.135 * [backup-simplify]: Simplify (+ 0 0) into 0
3.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.135 * [backup-simplify]: Simplify (/ 1 1) into 1
3.135 * [taylor]: Taking taylor expansion of 1/2 in x
3.135 * [backup-simplify]: Simplify 1/2 into 1/2
3.136 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.136 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
3.136 * [backup-simplify]: Simplify (sqrt 1) into 1
3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.137 * [backup-simplify]: Simplify (+ 0 0) into 0
3.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.138 * [taylor]: Taking taylor expansion of 1 in x
3.138 * [backup-simplify]: Simplify 1 into 1
3.138 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.138 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.139 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0
3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.140 * [backup-simplify]: Simplify (- 0) into 0
3.140 * [backup-simplify]: Simplify (+ 0 0) into 0
3.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.141 * [backup-simplify]: Simplify (+ 0 1) into 1
3.142 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
3.143 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
3.143 * [backup-simplify]: Simplify (- -1/4) into 1/4
3.143 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.144 * [backup-simplify]: Simplify (+ 1 1) into 2
3.144 * [backup-simplify]: Simplify (/ 1/4 2) into 1/8
3.144 * [backup-simplify]: Simplify 1/8 into 1/8
3.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.146 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
3.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
3.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
3.148 * [backup-simplify]: Simplify (- 0) into 0
3.148 * [backup-simplify]: Simplify (+ 0 0) into 0
3.149 * [backup-simplify]: Simplify (+ 0 0) into 0
3.149 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)))) into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
3.154 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
3.154 * [backup-simplify]: Simplify (- 3/16) into -3/16
3.154 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16
3.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.156 * [backup-simplify]: Simplify (+ 0 1) into 1
3.156 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
3.158 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
3.158 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
3.159 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8
3.159 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8
3.160 * [backup-simplify]: Simplify (- (/ -3/16 2) (+ (* 1/8 (/ -1/8 2)) (* 0 (/ 0 2)))) into -11/128
3.160 * [backup-simplify]: Simplify -11/128 into -11/128
3.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
3.162 * [backup-simplify]: Simplify (+ 0 0) into 0
3.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0
3.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0
3.165 * [backup-simplify]: Simplify (- 0) into 0
3.165 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.167 * [backup-simplify]: Simplify (+ 0 0) into 0
3.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.171 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1/8 (/ 0 2)) (* 0 (/ -1/8 2)) (* -11/128 (/ 0 2)))) into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
3.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
3.173 * [backup-simplify]: Simplify (+ 0 0) into 0
3.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
3.176 * [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
3.177 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32
3.177 * [backup-simplify]: Simplify (- -5/32) into 5/32
3.178 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32
3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.179 * [backup-simplify]: Simplify (+ 0 0) into 0
3.180 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
3.182 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
3.182 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16
3.183 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128
3.183 * [backup-simplify]: Simplify (+ 11/128 0) into 11/128
3.184 * [backup-simplify]: Simplify (- (/ 5/32 2) (+ (* 1/8 (/ 11/128 2)) (* 0 (/ 0 2)) (* -11/128 (/ -1/8 2)) (* 0 (/ 0 2)))) into 69/1024
3.184 * [backup-simplify]: Simplify 69/1024 into 69/1024
3.185 * [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)))
3.185 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))
3.185 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in (x) around 0
3.185 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x
3.185 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
3.185 * [taylor]: Taking taylor expansion of 1/2 in x
3.185 * [backup-simplify]: Simplify 1/2 into 1/2
3.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.185 * [taylor]: Taking taylor expansion of 1/2 in x
3.185 * [backup-simplify]: Simplify 1/2 into 1/2
3.185 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.185 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.185 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.185 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.185 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.185 * [taylor]: Taking taylor expansion of 1 in x
3.185 * [backup-simplify]: Simplify 1 into 1
3.185 * [taylor]: Taking taylor expansion of 1 in x
3.185 * [backup-simplify]: Simplify 1 into 1
3.185 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.185 * [taylor]: Taking taylor expansion of x in x
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 1 into 1
3.185 * [backup-simplify]: Simplify (/ 1 1) into 1
3.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.186 * [taylor]: Taking taylor expansion of x in x
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [backup-simplify]: Simplify (/ 1 1) into 1
3.186 * [backup-simplify]: Simplify (* 1 1) into 1
3.186 * [backup-simplify]: Simplify (+ 0 1) into 1
3.187 * [backup-simplify]: Simplify (sqrt 1) into 1
3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.190 * [backup-simplify]: Simplify (+ 0 0) into 0
3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x
3.190 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
3.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
3.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.190 * [taylor]: Taking taylor expansion of 1/2 in x
3.190 * [backup-simplify]: Simplify 1/2 into 1/2
3.190 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.190 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.190 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.190 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.190 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.190 * [taylor]: Taking taylor expansion of 1 in x
3.190 * [backup-simplify]: Simplify 1 into 1
3.190 * [taylor]: Taking taylor expansion of 1 in x
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.191 * [taylor]: Taking taylor expansion of x in x
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [backup-simplify]: Simplify (/ 1 1) into 1
3.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.191 * [taylor]: Taking taylor expansion of x in x
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [backup-simplify]: Simplify (/ 1 1) into 1
3.191 * [backup-simplify]: Simplify (* 1 1) into 1
3.192 * [backup-simplify]: Simplify (+ 0 1) into 1
3.192 * [backup-simplify]: Simplify (sqrt 1) into 1
3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.193 * [backup-simplify]: Simplify (+ 0 0) into 0
3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.194 * [backup-simplify]: Simplify (/ 1 1) into 1
3.194 * [taylor]: Taking taylor expansion of 1/2 in x
3.194 * [backup-simplify]: Simplify 1/2 into 1/2
3.195 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.195 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.196 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.196 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.198 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.198 * [taylor]: Taking taylor expansion of 1 in x
3.198 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.199 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.201 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1))
3.201 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x
3.201 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
3.201 * [taylor]: Taking taylor expansion of 1/2 in x
3.201 * [backup-simplify]: Simplify 1/2 into 1/2
3.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.201 * [taylor]: Taking taylor expansion of 1/2 in x
3.201 * [backup-simplify]: Simplify 1/2 into 1/2
3.201 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.201 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.201 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.201 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.201 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.201 * [taylor]: Taking taylor expansion of 1 in x
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [taylor]: Taking taylor expansion of 1 in x
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.201 * [taylor]: Taking taylor expansion of x in x
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.202 * [taylor]: Taking taylor expansion of x in x
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (+ 0 1) into 1
3.204 * [backup-simplify]: Simplify (sqrt 1) into 1
3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.206 * [backup-simplify]: Simplify (+ 0 0) into 0
3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.207 * [backup-simplify]: Simplify (/ 1 1) into 1
3.207 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x
3.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
3.207 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
3.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.207 * [taylor]: Taking taylor expansion of 1/2 in x
3.207 * [backup-simplify]: Simplify 1/2 into 1/2
3.208 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.208 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.208 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.208 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.208 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.208 * [taylor]: Taking taylor expansion of 1 in x
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [taylor]: Taking taylor expansion of 1 in x
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.208 * [taylor]: Taking taylor expansion of x in x
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (/ 1 1) into 1
3.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.208 * [taylor]: Taking taylor expansion of x in x
3.208 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify 1 into 1
3.209 * [backup-simplify]: Simplify (/ 1 1) into 1
3.209 * [backup-simplify]: Simplify (* 1 1) into 1
3.210 * [backup-simplify]: Simplify (+ 0 1) into 1
3.210 * [backup-simplify]: Simplify (sqrt 1) into 1
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.212 * [backup-simplify]: Simplify (/ 1 1) into 1
3.212 * [taylor]: Taking taylor expansion of 1/2 in x
3.212 * [backup-simplify]: Simplify 1/2 into 1/2
3.212 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.213 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.213 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.213 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.214 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.214 * [taylor]: Taking taylor expansion of 1 in x
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.215 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.216 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1))
3.217 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1))
3.217 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.217 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.218 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.219 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2)))
3.225 * [backup-simplify]: Simplify (- (/ -1/2 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))))
3.232 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))))
3.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.233 * [backup-simplify]: Simplify (- 0) into 0
3.233 * [backup-simplify]: Simplify (+ 0 0) into 0
3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.234 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
3.240 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))
3.282 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))))
3.306 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))))
3.347 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) (pow (/ 1 x) 2)) (+ (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ 1 x)) (/ 1/2 (+ (sqrt 1/2) 1)))) into (- (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1))))))
3.348 * [backup-simplify]: Simplify (/ (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)))) into (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))
3.348 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in (x) around 0
3.348 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x
3.348 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
3.348 * [taylor]: Taking taylor expansion of 1/2 in x
3.348 * [backup-simplify]: Simplify 1/2 into 1/2
3.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.348 * [taylor]: Taking taylor expansion of 1/2 in x
3.348 * [backup-simplify]: Simplify 1/2 into 1/2
3.348 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.348 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.348 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.348 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.348 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.348 * [taylor]: Taking taylor expansion of 1 in x
3.348 * [backup-simplify]: Simplify 1 into 1
3.348 * [taylor]: Taking taylor expansion of 1 in x
3.348 * [backup-simplify]: Simplify 1 into 1
3.348 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.348 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.348 * [taylor]: Taking taylor expansion of -1 in x
3.348 * [backup-simplify]: Simplify -1 into -1
3.348 * [taylor]: Taking taylor expansion of x in x
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 1 into 1
3.349 * [backup-simplify]: Simplify (/ -1 1) into -1
3.349 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.349 * [taylor]: Taking taylor expansion of -1 in x
3.349 * [backup-simplify]: Simplify -1 into -1
3.349 * [taylor]: Taking taylor expansion of x in x
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify 1 into 1
3.349 * [backup-simplify]: Simplify (/ -1 1) into -1
3.350 * [backup-simplify]: Simplify (* -1 -1) into 1
3.350 * [backup-simplify]: Simplify (+ 0 1) into 1
3.350 * [backup-simplify]: Simplify (sqrt 1) into 1
3.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.354 * [backup-simplify]: Simplify (+ 0 0) into 0
3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.355 * [backup-simplify]: Simplify (/ 1 1) into 1
3.355 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x
3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
3.355 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
3.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.355 * [taylor]: Taking taylor expansion of 1/2 in x
3.355 * [backup-simplify]: Simplify 1/2 into 1/2
3.355 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.355 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.355 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.355 * [taylor]: Taking taylor expansion of 1 in x
3.355 * [backup-simplify]: Simplify 1 into 1
3.355 * [taylor]: Taking taylor expansion of 1 in x
3.355 * [backup-simplify]: Simplify 1 into 1
3.355 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.355 * [taylor]: Taking taylor expansion of -1 in x
3.355 * [backup-simplify]: Simplify -1 into -1
3.355 * [taylor]: Taking taylor expansion of x in x
3.355 * [backup-simplify]: Simplify 0 into 0
3.355 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify (/ -1 1) into -1
3.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.356 * [taylor]: Taking taylor expansion of -1 in x
3.356 * [backup-simplify]: Simplify -1 into -1
3.356 * [taylor]: Taking taylor expansion of x in x
3.356 * [backup-simplify]: Simplify 0 into 0
3.356 * [backup-simplify]: Simplify 1 into 1
3.356 * [backup-simplify]: Simplify (/ -1 1) into -1
3.357 * [backup-simplify]: Simplify (* -1 -1) into 1
3.357 * [backup-simplify]: Simplify (+ 0 1) into 1
3.357 * [backup-simplify]: Simplify (sqrt 1) into 1
3.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.360 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.360 * [backup-simplify]: Simplify (+ 0 0) into 0
3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.361 * [backup-simplify]: Simplify (/ 1 1) into 1
3.361 * [taylor]: Taking taylor expansion of 1/2 in x
3.361 * [backup-simplify]: Simplify 1/2 into 1/2
3.362 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.362 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.363 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.363 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.365 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.365 * [taylor]: Taking taylor expansion of 1 in x
3.365 * [backup-simplify]: Simplify 1 into 1
3.365 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.366 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.368 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1))
3.368 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x
3.368 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
3.368 * [taylor]: Taking taylor expansion of 1/2 in x
3.368 * [backup-simplify]: Simplify 1/2 into 1/2
3.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.368 * [taylor]: Taking taylor expansion of 1/2 in x
3.368 * [backup-simplify]: Simplify 1/2 into 1/2
3.368 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.368 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.368 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.368 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.368 * [taylor]: Taking taylor expansion of 1 in x
3.368 * [backup-simplify]: Simplify 1 into 1
3.368 * [taylor]: Taking taylor expansion of 1 in x
3.368 * [backup-simplify]: Simplify 1 into 1
3.368 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.368 * [taylor]: Taking taylor expansion of -1 in x
3.368 * [backup-simplify]: Simplify -1 into -1
3.368 * [taylor]: Taking taylor expansion of x in x
3.368 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify 1 into 1
3.369 * [backup-simplify]: Simplify (/ -1 1) into -1
3.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.369 * [taylor]: Taking taylor expansion of -1 in x
3.369 * [backup-simplify]: Simplify -1 into -1
3.369 * [taylor]: Taking taylor expansion of x in x
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [backup-simplify]: Simplify (/ -1 1) into -1
3.370 * [backup-simplify]: Simplify (* -1 -1) into 1
3.370 * [backup-simplify]: Simplify (+ 0 1) into 1
3.371 * [backup-simplify]: Simplify (sqrt 1) into 1
3.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.373 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.374 * [backup-simplify]: Simplify (+ 0 0) into 0
3.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.375 * [backup-simplify]: Simplify (/ 1 1) into 1
3.375 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x
3.375 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
3.375 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
3.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.375 * [taylor]: Taking taylor expansion of 1/2 in x
3.375 * [backup-simplify]: Simplify 1/2 into 1/2
3.375 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.375 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.375 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.375 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.375 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.375 * [taylor]: Taking taylor expansion of 1 in x
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [taylor]: Taking taylor expansion of 1 in x
3.375 * [backup-simplify]: Simplify 1 into 1
3.375 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.375 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.375 * [taylor]: Taking taylor expansion of -1 in x
3.375 * [backup-simplify]: Simplify -1 into -1
3.375 * [taylor]: Taking taylor expansion of x in x
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (/ -1 1) into -1
3.376 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.376 * [taylor]: Taking taylor expansion of -1 in x
3.376 * [backup-simplify]: Simplify -1 into -1
3.376 * [taylor]: Taking taylor expansion of x in x
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (/ -1 1) into -1
3.377 * [backup-simplify]: Simplify (* -1 -1) into 1
3.377 * [backup-simplify]: Simplify (+ 0 1) into 1
3.378 * [backup-simplify]: Simplify (sqrt 1) into 1
3.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.380 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.381 * [backup-simplify]: Simplify (/ 1 1) into 1
3.381 * [taylor]: Taking taylor expansion of 1/2 in x
3.381 * [backup-simplify]: Simplify 1/2 into 1/2
3.382 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.382 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.383 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.383 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.385 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.385 * [taylor]: Taking taylor expansion of 1 in x
3.385 * [backup-simplify]: Simplify 1 into 1
3.385 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.386 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
3.388 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1))
3.389 * [backup-simplify]: Simplify (/ 1/2 (+ (sqrt 1/2) 1)) into (/ 1/2 (+ (sqrt 1/2) 1))
3.390 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.390 * [backup-simplify]: Simplify (- 1/2) into -1/2
3.390 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
3.392 * [backup-simplify]: Simplify (+ (/ 1/4 (sqrt 1/2)) 0) into (* 1/4 (/ 1 (sqrt 1/2)))
3.403 * [backup-simplify]: Simplify (- (/ -1/2 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))))
3.414 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) into (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))))
3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.416 * [backup-simplify]: Simplify (- 0) into 0
3.417 * [backup-simplify]: Simplify (+ 0 0) into 0
3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.419 * [backup-simplify]: Simplify (+ 0 0) into 0
3.424 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
3.426 * [backup-simplify]: Simplify (+ (/ -1/32 (pow (sqrt 1/2) 3)) 0) into (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))
3.470 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1/2) 1)) (+ (* (/ 1/2 (+ (sqrt 1/2) 1)) (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) 1))) (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ (* 1/4 (/ 1 (sqrt 1/2))) (+ (sqrt 1/2) 1))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))))
3.491 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) into (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))))
3.512 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3)))) (* 1/32 (/ 1 (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* 1/2 (/ 1 (+ (sqrt 1/2) 1))) (* 1/8 (/ 1 (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2)))))) (/ 1 (- x))) (/ 1/2 (+ (sqrt 1/2) 1)))) into (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1))))))))
3.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
3.512 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))
3.512 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0
3.512 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
3.512 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
3.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
3.512 * [taylor]: Taking taylor expansion of 1/2 in x
3.512 * [backup-simplify]: Simplify 1/2 into 1/2
3.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
3.512 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
3.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
3.512 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
3.512 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.512 * [taylor]: Taking taylor expansion of 1 in x
3.512 * [backup-simplify]: Simplify 1 into 1
3.512 * [taylor]: Taking taylor expansion of 1 in x
3.513 * [backup-simplify]: Simplify 1 into 1
3.513 * [taylor]: Taking taylor expansion of (* x x) in x
3.513 * [taylor]: Taking taylor expansion of x in x
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.513 * [taylor]: Taking taylor expansion of x in x
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.513 * [backup-simplify]: Simplify (* 1 1) into 1
3.513 * [backup-simplify]: Simplify (* 0 0) into 0
3.513 * [backup-simplify]: Simplify (+ 1 0) into 1
3.514 * [backup-simplify]: Simplify (sqrt 1) into 1
3.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.515 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.516 * [backup-simplify]: Simplify (+ 0 0) into 0
3.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.517 * [backup-simplify]: Simplify (/ 1 1) into 1
3.517 * [taylor]: Taking taylor expansion of 1/2 in x
3.517 * [backup-simplify]: Simplify 1/2 into 1/2
3.517 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.518 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
3.518 * [backup-simplify]: Simplify (sqrt 1) into 1
3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.520 * [backup-simplify]: Simplify (+ 0 0) into 0
3.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.521 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x
3.521 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x
3.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
3.521 * [taylor]: Taking taylor expansion of 1/2 in x
3.521 * [backup-simplify]: Simplify 1/2 into 1/2
3.521 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
3.521 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
3.521 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
3.521 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
3.521 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.521 * [taylor]: Taking taylor expansion of 1 in x
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [taylor]: Taking taylor expansion of 1 in x
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [taylor]: Taking taylor expansion of (* x x) in x
3.521 * [taylor]: Taking taylor expansion of x in x
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [taylor]: Taking taylor expansion of x in x
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.522 * [backup-simplify]: Simplify (* 1 1) into 1
3.522 * [backup-simplify]: Simplify (* 0 0) into 0
3.522 * [backup-simplify]: Simplify (+ 1 0) into 1
3.523 * [backup-simplify]: Simplify (sqrt 1) into 1
3.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.524 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.524 * [backup-simplify]: Simplify (+ 0 0) into 0
3.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.525 * [backup-simplify]: Simplify (/ 1 1) into 1
3.525 * [taylor]: Taking taylor expansion of 1/2 in x
3.525 * [backup-simplify]: Simplify 1/2 into 1/2
3.526 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.526 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1
3.526 * [backup-simplify]: Simplify (sqrt 1) into 1
3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.528 * [backup-simplify]: Simplify (+ 0 0) into 0
3.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.529 * [backup-simplify]: Simplify 1 into 1
3.529 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.531 * [backup-simplify]: Simplify (+ 0 1) into 1
3.532 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
3.535 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
3.536 * [backup-simplify]: Simplify (+ -1/4 0) into -1/4
3.537 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 1)) into -1/8
3.537 * [backup-simplify]: Simplify -1/8 into -1/8
3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.539 * [backup-simplify]: Simplify (+ 0 0) into 0
3.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
3.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
3.544 * [backup-simplify]: Simplify (+ 0 0) into 0
3.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)))) (* 2 1)) into 0
3.545 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.548 * [backup-simplify]: Simplify (+ 0 0) into 0
3.549 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
3.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
3.551 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
3.551 * [backup-simplify]: Simplify (+ 3/16 0) into 3/16
3.552 * [backup-simplify]: Simplify (/ (- 3/16 (pow -1/8 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 11/128
3.552 * [backup-simplify]: Simplify 11/128 into 11/128
3.553 * [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)))
3.553 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 x))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))
3.553 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0
3.553 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
3.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
3.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.553 * [taylor]: Taking taylor expansion of 1/2 in x
3.553 * [backup-simplify]: Simplify 1/2 into 1/2
3.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.553 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.553 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.553 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.553 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.553 * [taylor]: Taking taylor expansion of 1 in x
3.553 * [backup-simplify]: Simplify 1 into 1
3.553 * [taylor]: Taking taylor expansion of 1 in x
3.553 * [backup-simplify]: Simplify 1 into 1
3.553 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.553 * [taylor]: Taking taylor expansion of x in x
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.553 * [backup-simplify]: Simplify (/ 1 1) into 1
3.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.553 * [taylor]: Taking taylor expansion of x in x
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 1 into 1
3.554 * [backup-simplify]: Simplify (/ 1 1) into 1
3.554 * [backup-simplify]: Simplify (* 1 1) into 1
3.554 * [backup-simplify]: Simplify (+ 0 1) into 1
3.554 * [backup-simplify]: Simplify (sqrt 1) into 1
3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.556 * [backup-simplify]: Simplify (+ 0 0) into 0
3.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.557 * [backup-simplify]: Simplify (/ 1 1) into 1
3.557 * [taylor]: Taking taylor expansion of 1/2 in x
3.557 * [backup-simplify]: Simplify 1/2 into 1/2
3.557 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.557 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.558 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.558 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.559 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.559 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x
3.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x
3.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
3.559 * [taylor]: Taking taylor expansion of 1/2 in x
3.559 * [backup-simplify]: Simplify 1/2 into 1/2
3.559 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
3.559 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
3.559 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
3.559 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
3.559 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.559 * [taylor]: Taking taylor expansion of 1 in x
3.559 * [backup-simplify]: Simplify 1 into 1
3.559 * [taylor]: Taking taylor expansion of 1 in x
3.559 * [backup-simplify]: Simplify 1 into 1
3.559 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.559 * [taylor]: Taking taylor expansion of x in x
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify 1 into 1
3.559 * [backup-simplify]: Simplify (/ 1 1) into 1
3.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.559 * [taylor]: Taking taylor expansion of x in x
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify 1 into 1
3.560 * [backup-simplify]: Simplify (/ 1 1) into 1
3.560 * [backup-simplify]: Simplify (* 1 1) into 1
3.560 * [backup-simplify]: Simplify (+ 0 1) into 1
3.560 * [backup-simplify]: Simplify (sqrt 1) into 1
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.562 * [backup-simplify]: Simplify (+ 0 0) into 0
3.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.563 * [backup-simplify]: Simplify (/ 1 1) into 1
3.563 * [taylor]: Taking taylor expansion of 1/2 in x
3.563 * [backup-simplify]: Simplify 1/2 into 1/2
3.563 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.563 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.563 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.564 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.565 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.567 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.568 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2))
3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.569 * [backup-simplify]: Simplify (+ 0 0) into 0
3.572 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
3.573 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3))
3.576 * [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)))))
3.576 * [backup-simplify]: Simplify (sqrt (+ (/ 1/2 (hypot 1 (/ 1 (- x)))) 1/2)) into (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))
3.576 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0
3.576 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
3.576 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
3.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.576 * [taylor]: Taking taylor expansion of 1/2 in x
3.576 * [backup-simplify]: Simplify 1/2 into 1/2
3.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.576 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.576 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.576 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.576 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.576 * [taylor]: Taking taylor expansion of 1 in x
3.576 * [backup-simplify]: Simplify 1 into 1
3.576 * [taylor]: Taking taylor expansion of 1 in x
3.576 * [backup-simplify]: Simplify 1 into 1
3.576 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.576 * [taylor]: Taking taylor expansion of -1 in x
3.576 * [backup-simplify]: Simplify -1 into -1
3.576 * [taylor]: Taking taylor expansion of x in x
3.576 * [backup-simplify]: Simplify 0 into 0
3.576 * [backup-simplify]: Simplify 1 into 1
3.576 * [backup-simplify]: Simplify (/ -1 1) into -1
3.576 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.576 * [taylor]: Taking taylor expansion of -1 in x
3.576 * [backup-simplify]: Simplify -1 into -1
3.576 * [taylor]: Taking taylor expansion of x in x
3.577 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify 1 into 1
3.577 * [backup-simplify]: Simplify (/ -1 1) into -1
3.577 * [backup-simplify]: Simplify (* -1 -1) into 1
3.577 * [backup-simplify]: Simplify (+ 0 1) into 1
3.578 * [backup-simplify]: Simplify (sqrt 1) into 1
3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.580 * [backup-simplify]: Simplify (+ 0 0) into 0
3.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.582 * [backup-simplify]: Simplify (/ 1 1) into 1
3.582 * [taylor]: Taking taylor expansion of 1/2 in x
3.582 * [backup-simplify]: Simplify 1/2 into 1/2
3.582 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.582 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.583 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.583 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.585 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.585 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x
3.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x
3.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
3.585 * [taylor]: Taking taylor expansion of 1/2 in x
3.585 * [backup-simplify]: Simplify 1/2 into 1/2
3.585 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
3.585 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
3.585 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
3.585 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
3.585 * [taylor]: Taking taylor expansion of (* 1 1) in x
3.585 * [taylor]: Taking taylor expansion of 1 in x
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [taylor]: Taking taylor expansion of 1 in x
3.585 * [backup-simplify]: Simplify 1 into 1
3.585 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.585 * [taylor]: Taking taylor expansion of -1 in x
3.585 * [backup-simplify]: Simplify -1 into -1
3.585 * [taylor]: Taking taylor expansion of x in x
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.586 * [backup-simplify]: Simplify (/ -1 1) into -1
3.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.586 * [taylor]: Taking taylor expansion of -1 in x
3.586 * [backup-simplify]: Simplify -1 into -1
3.586 * [taylor]: Taking taylor expansion of x in x
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 1 into 1
3.586 * [backup-simplify]: Simplify (/ -1 1) into -1
3.587 * [backup-simplify]: Simplify (* -1 -1) into 1
3.587 * [backup-simplify]: Simplify (+ 0 1) into 1
3.588 * [backup-simplify]: Simplify (sqrt 1) into 1
3.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.590 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.590 * [backup-simplify]: Simplify (+ 0 0) into 0
3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.591 * [backup-simplify]: Simplify (/ 1 1) into 1
3.591 * [taylor]: Taking taylor expansion of 1/2 in x
3.591 * [backup-simplify]: Simplify 1/2 into 1/2
3.592 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
3.592 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.593 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.593 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.595 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 1/2))) into (/ 1/4 (sqrt 1/2))
3.595 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
3.596 * [backup-simplify]: Simplify (/ 1/4 (sqrt 1/2)) into (/ 1/4 (sqrt 1/2))
3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.598 * [backup-simplify]: Simplify (+ 0 0) into 0
3.603 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/4 (sqrt 1/2)) 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/32 (pow (sqrt 1/2) 3))
3.605 * [backup-simplify]: Simplify (/ -1/32 (pow (sqrt 1/2) 3)) into (/ -1/32 (pow (sqrt 1/2) 3))
3.608 * [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))))))
3.608 * * * [progress]: simplifying candidates
3.608 * * * * [progress]: [ 1 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.608 * * * * [progress]: [ 2 / 181 ] simplifiying candidate #<alt (λ (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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.608 * * * * [progress]: [ 3 / 181 ] simplifiying candidate #<alt (λ (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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.608 * * * * [progress]: [ 4 / 181 ] simplifiying candidate #<alt (λ (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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.608 * * * * [progress]: [ 5 / 181 ] simplifiying candidate #<alt (λ (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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.608 * * * * [progress]: [ 6 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.608 * * * * [progress]: [ 7 / 181 ] simplifiying candidate #<alt (λ (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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 8 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 9 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 10 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 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))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 11 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 12 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 13 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 14 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 15 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 16 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 17 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 18 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.609 * * * * [progress]: [ 19 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 20 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 21 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 22 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 23 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 24 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 25 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 26 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 27 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 28 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 29 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 30 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.610 * * * * [progress]: [ 31 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 32 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 33 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 34 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 35 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 36 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 37 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 38 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 39 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 40 / 181 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 41 / 181 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 42 / 181 ] simplifiying candidate #<alt (λ (x) (/ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 43 / 181 ] simplifiying candidate #<alt (λ (x) (/ (fma (sqrt 1/2) (sqrt 1/2) (- (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 44 / 181 ] simplifiying candidate #<alt (λ (x) (/ (fma 1 1/2 (- (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.611 * * * * [progress]: [ 45 / 181 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 46 / 181 ] simplifiying candidate #<alt (λ (x) (/ (pow (- 1/2 (/ 1/2 (hypot 1 x))) 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 47 / 181 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 48 / 181 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 49 / 181 ] simplifiying candidate #<alt (λ (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 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 50 / 181 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 51 / 181 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 52 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 53 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ 1/2 (- (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 54 / 181 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 55 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 56 / 181 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 57 / 181 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 58 / 181 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.612 * * * * [progress]: [ 59 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ 1/2 (- (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.613 * * * * [progress]: [ 60 / 181 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.613 * * * * [progress]: [ 61 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (log1p (expm1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.613 * * * * [progress]: [ 62 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (expm1 (log1p (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.613 * * * * [progress]: [ 63 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.613 * * * * [progress]: [ 64 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (sqrt 1) (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.613 * * * * [progress]: [ 65 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma 1 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.613 * * * * [progress]: [ 66 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (log (* (exp 1) (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.613 * * * * [progress]: [ 67 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (pow (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) 1)))>
3.613 * * * * [progress]: [ 68 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (exp (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.613 * * * * [progress]: [ 69 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (log (exp (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.613 * * * * [progress]: [ 70 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (* (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)))))))>
3.613 * * * * [progress]: [ 71 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (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)))))))>
3.613 * * * * [progress]: [ 72 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.613 * * * * [progress]: [ 73 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (/ (+ (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))))))))>
3.613 * * * * [progress]: [ 74 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.614 * * * * [progress]: [ 75 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (/ (- (* 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))))))>
3.614 * * * * [progress]: [ 76 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt 1) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.614 * * * * [progress]: [ 77 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt 1) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.614 * * * * [progress]: [ 78 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.614 * * * * [progress]: [ 79 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (posit16->real (real->posit16 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.614 * * * * [progress]: [ 80 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)))>
3.614 * * * * [progress]: [ 81 / 181 ] simplifiying candidate #<alt (λ (x) (log1p (expm1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.614 * * * * [progress]: [ 82 / 181 ] simplifiying candidate #<alt (λ (x) (expm1 (log1p (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.614 * * * * [progress]: [ 83 / 181 ] simplifiying candidate #<alt (λ (x) (pow (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) 1))>
3.614 * * * * [progress]: [ 84 / 181 ] simplifiying candidate #<alt (λ (x) (exp (- (log (- 1/2 (/ 1/2 (hypot 1 x)))) (log (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.614 * * * * [progress]: [ 85 / 181 ] simplifiying candidate #<alt (λ (x) (exp (log (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.614 * * * * [progress]: [ 86 / 181 ] simplifiying candidate #<alt (λ (x) (log (exp (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.614 * * * * [progress]: [ 87 / 181 ] simplifiying candidate #<alt (λ (x) (cbrt (/ (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))) (* (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.615 * * * * [progress]: [ 88 / 181 ] simplifiying candidate #<alt (λ (x) (* (* (cbrt (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (cbrt (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (cbrt (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.615 * * * * [progress]: [ 89 / 181 ] simplifiying candidate #<alt (λ (x) (cbrt (* (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.615 * * * * [progress]: [ 90 / 181 ] simplifiying candidate #<alt (λ (x) (* (sqrt (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.615 * * * * [progress]: [ 91 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- (- 1/2 (/ 1/2 (hypot 1 x)))) (- (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.615 * * * * [progress]: [ 92 / 181 ] simplifiying candidate #<alt (λ (x) (- (/ 1/2 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (/ (/ 1/2 (hypot 1 x)) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.615 * * * * [progress]: [ 93 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.615 * * * * [progress]: [ 94 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.615 * * * * [progress]: [ 95 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 1) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.615 * * * * [progress]: [ 96 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.615 * * * * [progress]: [ 97 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (sqrt 1)) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.615 * * * * [progress]: [ 98 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) 1) (/ (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.615 * * * * [progress]: [ 99 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.616 * * * * [progress]: [ 100 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.616 * * * * [progress]: [ 101 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 102 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 103 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt 1)) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 104 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) 1) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 105 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.616 * * * * [progress]: [ 106 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.616 * * * * [progress]: [ 107 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 108 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt 1)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 109 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt 1)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 110 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.616 * * * * [progress]: [ 111 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.616 * * * * [progress]: [ 112 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.616 * * * * [progress]: [ 113 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 1) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 114 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 115 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1)) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 116 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) 1) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 117 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.617 * * * * [progress]: [ 118 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.617 * * * * [progress]: [ 119 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 120 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1)) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 121 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1)) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 122 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) 1) (/ (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 123 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.617 * * * * [progress]: [ 124 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.617 * * * * [progress]: [ 125 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 126 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt 1)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.617 * * * * [progress]: [ 127 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 (sqrt 1)) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.618 * * * * [progress]: [ 128 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ 1 1) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.618 * * * * [progress]: [ 129 / 181 ] simplifiying candidate #<alt (λ (x) (* 1 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.618 * * * * [progress]: [ 130 / 181 ] simplifiying candidate #<alt (λ (x) (* (- 1/2 (/ 1/2 (hypot 1 x))) (/ 1 (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.618 * * * * [progress]: [ 131 / 181 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1/2 (/ 1/2 (hypot 1 x))))))>
3.618 * * * * [progress]: [ 132 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (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))))))>
3.618 * * * * [progress]: [ 133 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))) (sqrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.618 * * * * [progress]: [ 134 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.618 * * * * [progress]: [ 135 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt 1)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.618 * * * * [progress]: [ 136 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) (sqrt 1)) (+ (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.618 * * * * [progress]: [ 137 / 181 ] simplifiying candidate #<alt (λ (x) (/ (/ (- 1/2 (/ 1/2 (hypot 1 x))) 1) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.618 * * * * [progress]: [ 138 / 181 ] simplifiying candidate #<alt (λ (x) (/ (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))))))>
3.618 * * * * [progress]: [ 139 / 181 ] simplifiying candidate #<alt (λ (x) (/ (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))))))>
3.618 * * * * [progress]: [ 140 / 181 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1/2 (/ 1/2 (hypot 1 x))))))>
3.618 * * * * [progress]: [ 141 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))))))>
3.619 * * * * [progress]: [ 142 / 181 ] simplifiying candidate #<alt (λ (x) (/ (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))))>
3.619 * * * * [progress]: [ 143 / 181 ] simplifiying candidate #<alt (λ (x) (/ 1 (/ (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (- 1/2 (/ 1/2 (hypot 1 x))))))>
3.619 * * * * [progress]: [ 144 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (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)))))))>
3.619 * * * * [progress]: [ 145 / 181 ] simplifiying candidate #<alt (λ (x) (* (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (* 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)))))>
3.619 * * * * [progress]: [ 146 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))))))>
3.619 * * * * [progress]: [ 147 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (* (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ 1/2 (/ 1/2 (hypot 1 x))))))>
3.619 * * * * [progress]: [ 148 / 181 ] simplifiying candidate #<alt (λ (x) (posit16->real (real->posit16 (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.619 * * * * [progress]: [ 149 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (log1p (expm1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.619 * * * * [progress]: [ 150 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (expm1 (log1p (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.619 * * * * [progress]: [ 151 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
3.619 * * * * [progress]: [ 152 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2)))))>
3.619 * * * * [progress]: [ 153 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (pow (+ (/ 1/2 (hypot 1 x)) 1/2) 1/2))))>
3.619 * * * * [progress]: [ 154 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (pow (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))))>
3.619 * * * * [progress]: [ 155 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (exp (log (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.619 * * * * [progress]: [ 156 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (log (exp (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.619 * * * * [progress]: [ 157 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 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)))))))>
3.620 * * * * [progress]: [ 158 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (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)))))))>
3.620 * * * * [progress]: [ 159 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* (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)))))))>
3.620 * * * * [progress]: [ 160 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.620 * * * * [progress]: [ 161 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.620 * * * * [progress]: [ 162 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* (sqrt 1) (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.620 * * * * [progress]: [ 163 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (/ (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))))))))>
3.620 * * * * [progress]: [ 164 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (/ (sqrt (- (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 1/2))) (sqrt (- (/ 1/2 (hypot 1 x)) 1/2))))))>
3.620 * * * * [progress]: [ 165 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (pow (+ (/ 1/2 (hypot 1 x)) 1/2) (/ 1 2)))))>
3.620 * * * * [progress]: [ 166 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))) (sqrt (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.620 * * * * [progress]: [ 167 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (fabs (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.620 * * * * [progress]: [ 168 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))))))>
3.620 * * * * [progress]: [ 169 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (posit16->real (real->posit16 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))>
3.620 * * * * [progress]: [ 170 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.620 * * * * [progress]: [ 171 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.620 * * * * [progress]: [ 172 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))>
3.621 * * * * [progress]: [ 173 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (+ (* 11/128 (pow x 4)) 2) (* 1/8 (pow x 2)))))>
3.621 * * * * [progress]: [ 174 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ (sqrt 1/2) 1)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))>
3.621 * * * * [progress]: [ 175 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (+ (sqrt 1/2) 1) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))>
3.621 * * * * [progress]: [ 176 / 181 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/8 (pow x 2)) (* 69/1024 (pow x 6))) (* 11/128 (pow x 4))))>
3.621 * * * * [progress]: [ 177 / 181 ] simplifiying candidate #<alt (λ (x) (- (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))))))>
3.621 * * * * [progress]: [ 178 / 181 ] simplifiying candidate #<alt (λ (x) (+ (* 1/8 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 3) (pow (sqrt 1/2) 2))))) (+ (* 1/8 (/ 1 (* x (* (pow (+ (sqrt 1/2) 1) 2) (sqrt 1/2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (+ (sqrt 1/2) 1) 2) (pow (sqrt 1/2) 3))))) (+ (* 1/2 (/ 1 (* x (+ (sqrt 1/2) 1)))) (* 1/2 (/ 1 (+ (sqrt 1/2) 1)))))))))>
3.621 * * * * [progress]: [ 179 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (- (+ (* 11/128 (pow x 4)) 1) (* 1/8 (pow x 2))))))>
3.621 * * * * [progress]: [ 180 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (- (+ (* 1/4 (/ 1 (* x (sqrt 1/2)))) (sqrt 1/2)) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))))))>
3.621 * * * * [progress]: [ 181 / 181 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (- (sqrt 1/2) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))))>
3.626 * [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)) 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3.634 * * [simplify]: iteration 1: (353 enodes)
3.866 * * [simplify]: iteration 2: (1554 enodes)
4.888 * * [simplify]: Extracting #0: cost 133 inf + 0
4.891 * * [simplify]: Extracting #1: cost 648 inf + 2
4.898 * * [simplify]: Extracting #2: cost 1180 inf + 1051
4.919 * * [simplify]: Extracting #3: cost 1144 inf + 20069
4.952 * * [simplify]: Extracting #4: cost 653 inf + 135489
5.015 * * [simplify]: Extracting #5: cost 182 inf + 275713
5.133 * * [simplify]: Extracting #6: cost 15 inf + 346959
5.238 * * [simplify]: Extracting #7: cost 0 inf + 353819
5.363 * * [simplify]: Extracting #8: cost 0 inf + 353744
5.470 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))), (* (* (/ (cbrt 1/2) (cbrt (hypot 1 x))) (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (+ (- (/ (cbrt 1/2) (cbrt (hypot 1 x)))) (/ (cbrt 1/2) (cbrt (hypot 1 x))))), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (cbrt 1/2) (sqrt (hypot 1 x))) (/ (* (cbrt 1/2) (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)))), (- (* (cbrt 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69/1024 (* -11/128 (* (* x x) (* x x))))), (+ (+ (/ 1/8 (* (sqrt 1/2) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (/ 1/32 (* 1/2 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (+ (sqrt 1/2) 1))))) (- (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ 1/64 (* (* 1/2 (sqrt 1/2)) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x))))) (+ (/ 1/8 (* (sqrt 1/2) (* x (* (+ (sqrt 1/2) 1) (+ (sqrt 1/2) 1))))) (/ 1/2 (fma (sqrt 1/2) x x))))), (+ (+ (/ 1/64 (* (* 1/2 (sqrt 1/2)) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (+ (+ (/ 1/2 (+ (sqrt 1/2) 1)) (/ 1/2 (fma (sqrt 1/2) x x))) (/ 1/8 (* (sqrt 1/2) (* x (* (+ (sqrt 1/2) 1) (+ (sqrt 1/2) 1))))))) (+ (/ 1/8 (* (sqrt 1/2) (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)))) (/ 1/32 (* 1/2 (* (* (fma (sqrt 1/2) x x) (fma (sqrt 1/2) x x)) (+ (sqrt 1/2) 1)))))), (+ (fma 11/128 (* (* x x) (* x x)) 1) (* -1/8 (* x x))), (+ (sqrt 1/2) (- (/ 1/4 (* x (sqrt 1/2))) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x))))), (- (- (sqrt 1/2) (/ 1/32 (* (* 1/2 (sqrt 1/2)) (* x x)))) (/ 1/4 (* x (sqrt 1/2))))
5.489 * * * [progress]: adding candidates to table
7.372 * * [progress]: iteration 3 / 4
7.372 * * * [progress]: picking best candidate
7.383 * * * * [pick]: Picked  #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
7.384 * * * [progress]: localizing error
7.421 * * * [progress]: generating rewritten candidates
7.421 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
7.434 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
7.438 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
7.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
7.449 * * * [progress]: generating series expansions
7.450 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
7.450 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x))))
7.450 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0
7.450 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 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 (* 1/2 (/ 1 (hypot 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 (/ 1 (hypot 1 x)) in x
7.450 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.450 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.450 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 (* x 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 * [taylor]: Taking taylor expansion of x in x
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify 1 into 1
7.451 * [backup-simplify]: Simplify (* 1 1) into 1
7.452 * [backup-simplify]: Simplify (* 0 0) into 0
7.452 * [backup-simplify]: Simplify (+ 1 0) into 1
7.453 * [backup-simplify]: Simplify (sqrt 1) into 1
7.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.454 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.455 * [backup-simplify]: Simplify (+ 0 0) into 0
7.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.456 * [backup-simplify]: Simplify (/ 1 1) into 1
7.456 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 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 (* 1/2 (/ 1 (hypot 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 x)) in x
7.456 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.456 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.456 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x 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 (* x 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 * [taylor]: Taking taylor expansion of x in x
7.456 * [backup-simplify]: Simplify 0 into 0
7.456 * [backup-simplify]: Simplify 1 into 1
7.457 * [backup-simplify]: Simplify (* 1 1) into 1
7.457 * [backup-simplify]: Simplify (* 0 0) into 0
7.458 * [backup-simplify]: Simplify (+ 1 0) into 1
7.458 * [backup-simplify]: Simplify (sqrt 1) into 1
7.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.459 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.460 * [backup-simplify]: Simplify (+ 0 0) into 0
7.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.461 * [backup-simplify]: Simplify (/ 1 1) into 1
7.462 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.462 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.462 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0
7.462 * [backup-simplify]: Simplify 0 into 0
7.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.464 * [backup-simplify]: Simplify (- 0) into 0
7.465 * [backup-simplify]: Simplify (+ 0 0) into 0
7.465 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.467 * [backup-simplify]: Simplify (+ 0 1) into 1
7.468 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.470 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
7.470 * [backup-simplify]: Simplify (- -1/4) into 1/4
7.471 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.471 * [backup-simplify]: Simplify 1/4 into 1/4
7.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.473 * [backup-simplify]: Simplify (+ 0 0) into 0
7.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
7.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
7.478 * [backup-simplify]: Simplify (- 0) into 0
7.478 * [backup-simplify]: Simplify (+ 0 0) into 0
7.478 * [backup-simplify]: Simplify 0 into 0
7.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.481 * [backup-simplify]: Simplify (+ 0 0) into 0
7.482 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
7.485 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
7.486 * [backup-simplify]: Simplify (- 3/16) into -3/16
7.486 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16
7.486 * [backup-simplify]: Simplify -3/16 into -3/16
7.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
7.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.489 * [backup-simplify]: Simplify (+ 0 0) into 0
7.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0
7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0
7.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0
7.495 * [backup-simplify]: Simplify (- 0) into 0
7.495 * [backup-simplify]: Simplify (+ 0 0) into 0
7.495 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
7.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
7.498 * [backup-simplify]: Simplify (+ 0 0) into 0
7.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
7.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16
7.505 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32
7.505 * [backup-simplify]: Simplify (- -5/32) into 5/32
7.506 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32
7.506 * [backup-simplify]: Simplify 5/32 into 5/32
7.506 * [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)))
7.506 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))
7.506 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0
7.507 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
7.507 * [taylor]: Taking taylor expansion of 1/2 in x
7.507 * [backup-simplify]: Simplify 1/2 into 1/2
7.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
7.507 * [taylor]: Taking taylor expansion of 1/2 in x
7.507 * [backup-simplify]: Simplify 1/2 into 1/2
7.507 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
7.507 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
7.507 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
7.507 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
7.507 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.507 * [taylor]: Taking taylor expansion of 1 in x
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [taylor]: Taking taylor expansion of 1 in x
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.507 * [taylor]: Taking taylor expansion of x in x
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [backup-simplify]: Simplify (/ 1 1) into 1
7.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.507 * [taylor]: Taking taylor expansion of x in x
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify 1 into 1
7.508 * [backup-simplify]: Simplify (/ 1 1) into 1
7.508 * [backup-simplify]: Simplify (* 1 1) into 1
7.509 * [backup-simplify]: Simplify (+ 0 1) into 1
7.509 * [backup-simplify]: Simplify (sqrt 1) into 1
7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.511 * [backup-simplify]: Simplify (+ 0 0) into 0
7.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.512 * [backup-simplify]: Simplify (/ 1 1) into 1
7.512 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
7.512 * [taylor]: Taking taylor expansion of 1/2 in x
7.512 * [backup-simplify]: Simplify 1/2 into 1/2
7.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
7.512 * [taylor]: Taking taylor expansion of 1/2 in x
7.512 * [backup-simplify]: Simplify 1/2 into 1/2
7.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
7.512 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
7.513 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
7.513 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
7.513 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.513 * [taylor]: Taking taylor expansion of 1 in x
7.513 * [backup-simplify]: Simplify 1 into 1
7.513 * [taylor]: Taking taylor expansion of 1 in x
7.513 * [backup-simplify]: Simplify 1 into 1
7.513 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.513 * [taylor]: Taking taylor expansion of x in x
7.513 * [backup-simplify]: Simplify 0 into 0
7.513 * [backup-simplify]: Simplify 1 into 1
7.513 * [backup-simplify]: Simplify (/ 1 1) into 1
7.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.513 * [taylor]: Taking taylor expansion of x in x
7.513 * [backup-simplify]: Simplify 0 into 0
7.513 * [backup-simplify]: Simplify 1 into 1
7.514 * [backup-simplify]: Simplify (/ 1 1) into 1
7.514 * [backup-simplify]: Simplify (* 1 1) into 1
7.514 * [backup-simplify]: Simplify (+ 0 1) into 1
7.515 * [backup-simplify]: Simplify (sqrt 1) into 1
7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.516 * [backup-simplify]: Simplify (- (+ (* 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 (+ 1/2 0) into 1/2
7.518 * [backup-simplify]: Simplify 1/2 into 1/2
7.519 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.519 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.520 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.520 * [backup-simplify]: Simplify -1/2 into -1/2
7.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.529 * [backup-simplify]: Simplify (- 0) into 0
7.530 * [backup-simplify]: Simplify (+ 0 0) into 0
7.530 * [backup-simplify]: Simplify 0 into 0
7.530 * [backup-simplify]: Simplify (* 1 1) into 1
7.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.533 * [backup-simplify]: Simplify (+ 1 0) into 1
7.534 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.536 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
7.537 * [backup-simplify]: Simplify (- -1/4) into 1/4
7.537 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.537 * [backup-simplify]: Simplify 1/4 into 1/4
7.538 * [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)))
7.538 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))
7.538 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0
7.538 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
7.538 * [taylor]: Taking taylor expansion of 1/2 in x
7.538 * [backup-simplify]: Simplify 1/2 into 1/2
7.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
7.538 * [taylor]: Taking taylor expansion of 1/2 in x
7.538 * [backup-simplify]: Simplify 1/2 into 1/2
7.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
7.538 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
7.538 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
7.538 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
7.538 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.538 * [taylor]: Taking taylor expansion of 1 in x
7.538 * [backup-simplify]: Simplify 1 into 1
7.538 * [taylor]: Taking taylor expansion of 1 in x
7.538 * [backup-simplify]: Simplify 1 into 1
7.538 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.538 * [taylor]: Taking taylor expansion of -1 in x
7.538 * [backup-simplify]: Simplify -1 into -1
7.538 * [taylor]: Taking taylor expansion of x in x
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 1 into 1
7.539 * [backup-simplify]: Simplify (/ -1 1) into -1
7.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.539 * [taylor]: Taking taylor expansion of -1 in x
7.539 * [backup-simplify]: Simplify -1 into -1
7.539 * [taylor]: Taking taylor expansion of x in x
7.539 * [backup-simplify]: Simplify 0 into 0
7.539 * [backup-simplify]: Simplify 1 into 1
7.539 * [backup-simplify]: Simplify (/ -1 1) into -1
7.540 * [backup-simplify]: Simplify (* -1 -1) into 1
7.540 * [backup-simplify]: Simplify (+ 0 1) into 1
7.541 * [backup-simplify]: Simplify (sqrt 1) into 1
7.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.543 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.543 * [backup-simplify]: Simplify (+ 0 0) into 0
7.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.544 * [backup-simplify]: Simplify (/ 1 1) into 1
7.544 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
7.544 * [taylor]: Taking taylor expansion of 1/2 in x
7.544 * [backup-simplify]: Simplify 1/2 into 1/2
7.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
7.544 * [taylor]: Taking taylor expansion of 1/2 in x
7.544 * [backup-simplify]: Simplify 1/2 into 1/2
7.544 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
7.544 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
7.544 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
7.544 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
7.544 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.544 * [taylor]: Taking taylor expansion of 1 in x
7.544 * [backup-simplify]: Simplify 1 into 1
7.544 * [taylor]: Taking taylor expansion of 1 in x
7.545 * [backup-simplify]: Simplify 1 into 1
7.545 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.545 * [taylor]: Taking taylor expansion of -1 in x
7.545 * [backup-simplify]: Simplify -1 into -1
7.545 * [taylor]: Taking taylor expansion of x in x
7.545 * [backup-simplify]: Simplify 0 into 0
7.545 * [backup-simplify]: Simplify 1 into 1
7.545 * [backup-simplify]: Simplify (/ -1 1) into -1
7.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.545 * [taylor]: Taking taylor expansion of -1 in x
7.545 * [backup-simplify]: Simplify -1 into -1
7.545 * [taylor]: Taking taylor expansion of x in x
7.545 * [backup-simplify]: Simplify 0 into 0
7.545 * [backup-simplify]: Simplify 1 into 1
7.546 * [backup-simplify]: Simplify (/ -1 1) into -1
7.546 * [backup-simplify]: Simplify (* -1 -1) into 1
7.547 * [backup-simplify]: Simplify (+ 0 1) into 1
7.547 * [backup-simplify]: Simplify (sqrt 1) into 1
7.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.550 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.550 * [backup-simplify]: Simplify (+ 0 0) into 0
7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.551 * [backup-simplify]: Simplify (/ 1 1) into 1
7.552 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
7.552 * [backup-simplify]: Simplify 1/2 into 1/2
7.552 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.553 * [backup-simplify]: Simplify (- 1/2) into -1/2
7.553 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
7.553 * [backup-simplify]: Simplify -1/2 into -1/2
7.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.555 * [backup-simplify]: Simplify (- 0) into 0
7.556 * [backup-simplify]: Simplify (+ 0 0) into 0
7.556 * [backup-simplify]: Simplify 0 into 0
7.556 * [backup-simplify]: Simplify (* 1 1) into 1
7.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.560 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.560 * [backup-simplify]: Simplify (+ 1 0) into 1
7.561 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.564 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
7.564 * [backup-simplify]: Simplify (- -1/4) into 1/4
7.565 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.565 * [backup-simplify]: Simplify 1/4 into 1/4
7.565 * [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))))
7.565 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
7.565 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 x))) into (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))
7.565 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in (x) around 0
7.565 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
7.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
7.566 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
7.566 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.566 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.566 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
7.566 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.566 * [taylor]: Taking taylor expansion of 1 in x
7.566 * [backup-simplify]: Simplify 1 into 1
7.566 * [taylor]: Taking taylor expansion of 1 in x
7.566 * [backup-simplify]: Simplify 1 into 1
7.566 * [taylor]: Taking taylor expansion of (* x x) in x
7.566 * [taylor]: Taking taylor expansion of x in x
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 1 into 1
7.566 * [taylor]: Taking taylor expansion of x in x
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 1 into 1
7.566 * [backup-simplify]: Simplify (* 1 1) into 1
7.567 * [backup-simplify]: Simplify (* 0 0) into 0
7.567 * [backup-simplify]: Simplify (+ 1 0) into 1
7.568 * [backup-simplify]: Simplify (sqrt 1) into 1
7.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.569 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.569 * [backup-simplify]: Simplify (+ 0 0) into 0
7.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.571 * [backup-simplify]: Simplify (/ 1 1) into 1
7.571 * [backup-simplify]: Simplify (sqrt 1) into 1
7.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.573 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.573 * [taylor]: Taking taylor expansion of 1/2 in x
7.573 * [backup-simplify]: Simplify 1/2 into 1/2
7.573 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.574 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
7.574 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
7.574 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
7.574 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.574 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.574 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
7.574 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.574 * [taylor]: Taking taylor expansion of 1 in x
7.574 * [backup-simplify]: Simplify 1 into 1
7.574 * [taylor]: Taking taylor expansion of 1 in x
7.574 * [backup-simplify]: Simplify 1 into 1
7.574 * [taylor]: Taking taylor expansion of (* x x) in x
7.574 * [taylor]: Taking taylor expansion of x in x
7.574 * [backup-simplify]: Simplify 0 into 0
7.574 * [backup-simplify]: Simplify 1 into 1
7.574 * [taylor]: Taking taylor expansion of x in x
7.574 * [backup-simplify]: Simplify 0 into 0
7.574 * [backup-simplify]: Simplify 1 into 1
7.575 * [backup-simplify]: Simplify (* 1 1) into 1
7.575 * [backup-simplify]: Simplify (* 0 0) into 0
7.576 * [backup-simplify]: Simplify (+ 1 0) into 1
7.576 * [backup-simplify]: Simplify (sqrt 1) into 1
7.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.577 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.578 * [backup-simplify]: Simplify (+ 0 0) into 0
7.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.579 * [backup-simplify]: Simplify (/ 1 1) into 1
7.579 * [backup-simplify]: Simplify (sqrt 1) into 1
7.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.582 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.582 * [taylor]: Taking taylor expansion of 1/2 in x
7.582 * [backup-simplify]: Simplify 1/2 into 1/2
7.582 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.584 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
7.584 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
7.585 * [backup-simplify]: Simplify 0 into 0
7.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.589 * [backup-simplify]: Simplify (+ 0 1) into 1
7.590 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.592 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
7.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
7.598 * [backup-simplify]: Simplify (- (* 1/4 (sqrt 1/2))) into (- (* 1/4 (sqrt 1/2)))
7.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.602 * [backup-simplify]: Simplify (+ 0 0) into 0
7.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
7.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
7.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
7.607 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.612 * [backup-simplify]: Simplify (+ 0 0) into 0
7.613 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
7.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
7.617 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
7.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
7.626 * [backup-simplify]: Simplify (* 5/32 (sqrt 1/2)) into (* 5/32 (sqrt 1/2))
7.630 * [backup-simplify]: Simplify (+ (* (* 5/32 (sqrt 1/2)) (pow x 4)) (+ (* (- (* 1/4 (sqrt 1/2))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2))))
7.630 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) into (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))
7.630 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in (x) around 0
7.630 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
7.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
7.630 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
7.630 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
7.630 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
7.630 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
7.630 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.630 * [taylor]: Taking taylor expansion of 1 in x
7.630 * [backup-simplify]: Simplify 1 into 1
7.630 * [taylor]: Taking taylor expansion of 1 in x
7.630 * [backup-simplify]: Simplify 1 into 1
7.630 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.630 * [taylor]: Taking taylor expansion of x in x
7.630 * [backup-simplify]: Simplify 0 into 0
7.630 * [backup-simplify]: Simplify 1 into 1
7.631 * [backup-simplify]: Simplify (/ 1 1) into 1
7.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.631 * [taylor]: Taking taylor expansion of x in x
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [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 (- (+ (* 1 (/ 0 1)))) into 0
7.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.636 * [backup-simplify]: Simplify (+ 0 0) into 0
7.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.637 * [backup-simplify]: Simplify (/ 1 1) into 1
7.637 * [backup-simplify]: Simplify (sqrt 0) into 0
7.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.638 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.638 * [taylor]: Taking taylor expansion of 1/2 in x
7.638 * [backup-simplify]: Simplify 1/2 into 1/2
7.639 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.639 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
7.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
7.639 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
7.639 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
7.639 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
7.639 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
7.639 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.639 * [taylor]: Taking taylor expansion of 1 in x
7.639 * [backup-simplify]: Simplify 1 into 1
7.639 * [taylor]: Taking taylor expansion of 1 in x
7.639 * [backup-simplify]: Simplify 1 into 1
7.639 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.639 * [taylor]: Taking taylor expansion of x in x
7.639 * [backup-simplify]: Simplify 0 into 0
7.639 * [backup-simplify]: Simplify 1 into 1
7.640 * [backup-simplify]: Simplify (/ 1 1) into 1
7.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.640 * [taylor]: Taking taylor expansion of x in x
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify 1 into 1
7.640 * [backup-simplify]: Simplify (/ 1 1) into 1
7.640 * [backup-simplify]: Simplify (* 1 1) into 1
7.640 * [backup-simplify]: Simplify (+ 0 1) into 1
7.641 * [backup-simplify]: Simplify (sqrt 1) into 1
7.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.642 * [backup-simplify]: Simplify (+ 0 0) into 0
7.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.643 * [backup-simplify]: Simplify (/ 1 1) into 1
7.643 * [backup-simplify]: Simplify (sqrt 0) into 0
7.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.644 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.644 * [taylor]: Taking taylor expansion of 1/2 in x
7.644 * [backup-simplify]: Simplify 1/2 into 1/2
7.644 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.645 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
7.645 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.647 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.650 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
7.653 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.654 * [backup-simplify]: Simplify (* 1 1) into 1
7.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.656 * [backup-simplify]: Simplify (+ 1 0) into 1
7.657 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.665 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
7.669 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.674 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 x)))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))))
7.674 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) into (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))
7.674 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in (x) around 0
7.674 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
7.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
7.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
7.674 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
7.674 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
7.674 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
7.674 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.674 * [taylor]: Taking taylor expansion of 1 in x
7.674 * [backup-simplify]: Simplify 1 into 1
7.674 * [taylor]: Taking taylor expansion of 1 in x
7.674 * [backup-simplify]: Simplify 1 into 1
7.674 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.674 * [taylor]: Taking taylor expansion of -1 in x
7.674 * [backup-simplify]: Simplify -1 into -1
7.674 * [taylor]: Taking taylor expansion of x in x
7.674 * [backup-simplify]: Simplify 0 into 0
7.674 * [backup-simplify]: Simplify 1 into 1
7.675 * [backup-simplify]: Simplify (/ -1 1) into -1
7.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.675 * [taylor]: Taking taylor expansion of -1 in x
7.675 * [backup-simplify]: Simplify -1 into -1
7.675 * [taylor]: Taking taylor expansion of x in x
7.675 * [backup-simplify]: Simplify 0 into 0
7.675 * [backup-simplify]: Simplify 1 into 1
7.676 * [backup-simplify]: Simplify (/ -1 1) into -1
7.676 * [backup-simplify]: Simplify (* -1 -1) into 1
7.676 * [backup-simplify]: Simplify (+ 0 1) into 1
7.677 * [backup-simplify]: Simplify (sqrt 1) into 1
7.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.679 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.679 * [backup-simplify]: Simplify (+ 0 0) into 0
7.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.681 * [backup-simplify]: Simplify (/ 1 1) into 1
7.681 * [backup-simplify]: Simplify (sqrt 0) into 0
7.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.683 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.683 * [taylor]: Taking taylor expansion of 1/2 in x
7.683 * [backup-simplify]: Simplify 1/2 into 1/2
7.683 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.684 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
7.684 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
7.684 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
7.684 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
7.684 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
7.684 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
7.684 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.684 * [taylor]: Taking taylor expansion of 1 in x
7.684 * [backup-simplify]: Simplify 1 into 1
7.684 * [taylor]: Taking taylor expansion of 1 in x
7.684 * [backup-simplify]: Simplify 1 into 1
7.684 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.684 * [taylor]: Taking taylor expansion of -1 in x
7.684 * [backup-simplify]: Simplify -1 into -1
7.684 * [taylor]: Taking taylor expansion of x in x
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify (/ -1 1) into -1
7.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.685 * [taylor]: Taking taylor expansion of -1 in x
7.685 * [backup-simplify]: Simplify -1 into -1
7.685 * [taylor]: Taking taylor expansion of x in x
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify (/ -1 1) into -1
7.686 * [backup-simplify]: Simplify (* -1 -1) into 1
7.686 * [backup-simplify]: Simplify (+ 0 1) into 1
7.686 * [backup-simplify]: Simplify (sqrt 1) into 1
7.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.689 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.689 * [backup-simplify]: Simplify (+ 0 0) into 0
7.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.690 * [backup-simplify]: Simplify (/ 1 1) into 1
7.690 * [backup-simplify]: Simplify (sqrt 0) into 0
7.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.692 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.692 * [taylor]: Taking taylor expansion of 1/2 in x
7.692 * [backup-simplify]: Simplify 1/2 into 1/2
7.692 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.694 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
7.694 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.697 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.698 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.700 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
7.704 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.705 * [backup-simplify]: Simplify (* 1 1) into 1
7.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.706 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.707 * [backup-simplify]: Simplify (+ 1 0) into 1
7.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.710 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
7.714 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.718 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 (- x))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))))
7.718 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
7.719 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1)
7.719 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0
7.719 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
7.719 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
7.719 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
7.719 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
7.719 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
7.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
7.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
7.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
7.719 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.719 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
7.719 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.719 * [taylor]: Taking taylor expansion of 1 in x
7.719 * [backup-simplify]: Simplify 1 into 1
7.719 * [taylor]: Taking taylor expansion of 1 in x
7.719 * [backup-simplify]: Simplify 1 into 1
7.719 * [taylor]: Taking taylor expansion of (* x x) in x
7.719 * [taylor]: Taking taylor expansion of x in x
7.719 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify 1 into 1
7.719 * [taylor]: Taking taylor expansion of x in x
7.719 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify 1 into 1
7.719 * [backup-simplify]: Simplify (* 1 1) into 1
7.720 * [backup-simplify]: Simplify (* 0 0) into 0
7.720 * [backup-simplify]: Simplify (+ 1 0) into 1
7.720 * [backup-simplify]: Simplify (sqrt 1) into 1
7.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.721 * [backup-simplify]: Simplify (+ 0 0) into 0
7.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.722 * [backup-simplify]: Simplify (/ 1 1) into 1
7.722 * [backup-simplify]: Simplify (sqrt 1) into 1
7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.723 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.723 * [taylor]: Taking taylor expansion of 1/2 in x
7.723 * [backup-simplify]: Simplify 1/2 into 1/2
7.723 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.724 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
7.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
7.724 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
7.724 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.724 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.724 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
7.724 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.724 * [taylor]: Taking taylor expansion of 1 in x
7.724 * [backup-simplify]: Simplify 1 into 1
7.724 * [taylor]: Taking taylor expansion of 1 in x
7.724 * [backup-simplify]: Simplify 1 into 1
7.724 * [taylor]: Taking taylor expansion of (* x x) in x
7.724 * [taylor]: Taking taylor expansion of x in x
7.724 * [backup-simplify]: Simplify 0 into 0
7.724 * [backup-simplify]: Simplify 1 into 1
7.724 * [taylor]: Taking taylor expansion of x in x
7.724 * [backup-simplify]: Simplify 0 into 0
7.724 * [backup-simplify]: Simplify 1 into 1
7.724 * [backup-simplify]: Simplify (* 1 1) into 1
7.725 * [backup-simplify]: Simplify (* 0 0) into 0
7.725 * [backup-simplify]: Simplify (+ 1 0) into 1
7.725 * [backup-simplify]: Simplify (sqrt 1) into 1
7.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.726 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.726 * [backup-simplify]: Simplify (+ 0 0) into 0
7.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.727 * [backup-simplify]: Simplify (/ 1 1) into 1
7.727 * [backup-simplify]: Simplify (sqrt 1) into 1
7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.728 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.728 * [taylor]: Taking taylor expansion of 1/2 in x
7.728 * [backup-simplify]: Simplify 1/2 into 1/2
7.728 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.729 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
7.729 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.729 * [taylor]: Taking taylor expansion of 1/2 in x
7.729 * [backup-simplify]: Simplify 1/2 into 1/2
7.729 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.729 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.729 * [taylor]: Taking taylor expansion of 1/2 in x
7.729 * [backup-simplify]: Simplify 1/2 into 1/2
7.730 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.731 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
7.731 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
7.732 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
7.733 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
7.735 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
7.737 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
7.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
7.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
7.740 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
7.741 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
7.741 * [backup-simplify]: Simplify (+ 0 0) into 0
7.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
7.742 * [taylor]: Taking taylor expansion of 1 in x
7.742 * [backup-simplify]: Simplify 1 into 1
7.742 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
7.742 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
7.742 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
7.742 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
7.742 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
7.742 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
7.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
7.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
7.743 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.743 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.743 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
7.743 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.743 * [taylor]: Taking taylor expansion of 1 in x
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [taylor]: Taking taylor expansion of 1 in x
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [taylor]: Taking taylor expansion of (* x x) in x
7.743 * [taylor]: Taking taylor expansion of x in x
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [taylor]: Taking taylor expansion of x in x
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (* 1 1) into 1
7.744 * [backup-simplify]: Simplify (* 0 0) into 0
7.744 * [backup-simplify]: Simplify (+ 1 0) into 1
7.745 * [backup-simplify]: Simplify (sqrt 1) into 1
7.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.746 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.746 * [backup-simplify]: Simplify (+ 0 0) into 0
7.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.747 * [backup-simplify]: Simplify (/ 1 1) into 1
7.748 * [backup-simplify]: Simplify (sqrt 1) into 1
7.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.749 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.749 * [taylor]: Taking taylor expansion of 1/2 in x
7.749 * [backup-simplify]: Simplify 1/2 into 1/2
7.750 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.751 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
7.751 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
7.751 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
7.751 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
7.751 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
7.751 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
7.751 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.751 * [taylor]: Taking taylor expansion of 1 in x
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [taylor]: Taking taylor expansion of 1 in x
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [taylor]: Taking taylor expansion of (* x x) in x
7.751 * [taylor]: Taking taylor expansion of x in x
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [taylor]: Taking taylor expansion of x in x
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [backup-simplify]: Simplify (* 1 1) into 1
7.752 * [backup-simplify]: Simplify (* 0 0) into 0
7.752 * [backup-simplify]: Simplify (+ 1 0) into 1
7.753 * [backup-simplify]: Simplify (sqrt 1) into 1
7.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.754 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.755 * [backup-simplify]: Simplify (+ 0 0) into 0
7.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.756 * [backup-simplify]: Simplify (/ 1 1) into 1
7.756 * [backup-simplify]: Simplify (sqrt 1) into 1
7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.758 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.758 * [taylor]: Taking taylor expansion of 1/2 in x
7.758 * [backup-simplify]: Simplify 1/2 into 1/2
7.758 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.759 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
7.759 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.759 * [taylor]: Taking taylor expansion of 1/2 in x
7.759 * [backup-simplify]: Simplify 1/2 into 1/2
7.760 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.761 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.761 * [taylor]: Taking taylor expansion of 1/2 in x
7.761 * [backup-simplify]: Simplify 1/2 into 1/2
7.761 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.763 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
7.764 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
7.765 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
7.766 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
7.769 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
7.771 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
7.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
7.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
7.774 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
7.774 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
7.775 * [backup-simplify]: Simplify (+ 0 0) into 0
7.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
7.776 * [taylor]: Taking taylor expansion of 1 in x
7.776 * [backup-simplify]: Simplify 1 into 1
7.778 * [backup-simplify]: Simplify (+ (* (sqrt 2) (sqrt 1/2)) 1) into (+ (* (sqrt 2) (sqrt 1/2)) 1)
7.787 * [backup-simplify]: Simplify (+ (* (sqrt 2) (sqrt 1/2)) 1) into (+ (* (sqrt 2) (sqrt 1/2)) 1)
7.787 * [backup-simplify]: Simplify (+ 0 0) into 0
7.787 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.791 * [backup-simplify]: Simplify (+ 0 1) into 1
7.792 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.794 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
7.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
7.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.801 * [backup-simplify]: Simplify (+ 0 1) into 1
7.802 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
7.804 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
7.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
7.816 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (- (* 1/4 (sqrt 1/2))) (sqrt 1/2)))) into (- (* 1/2 (pow (sqrt 1/2) 2)))
7.817 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.818 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
7.819 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
7.823 * [backup-simplify]: Simplify (+ (- (* 1/2 (pow (sqrt 1/2) 2))) 0) into (- (* 1/2 (pow (sqrt 1/2) 2)))
7.832 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2)))
7.835 * [backup-simplify]: Simplify (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 0) into (- (* 1/4 (/ (sqrt 1/2) (sqrt 2))))
7.838 * [backup-simplify]: Simplify (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) into (- (* 1/4 (/ (sqrt 1/2) (sqrt 2))))
7.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.842 * [backup-simplify]: Simplify (+ 0 0) into 0
7.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
7.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
7.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
7.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.852 * [backup-simplify]: Simplify (+ 0 0) into 0
7.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
7.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
7.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
7.860 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/4 (sqrt 1/2)))) (+ (* (- (* 1/4 (sqrt 1/2))) 0) (* 0 (sqrt 1/2))))) into 0
7.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.863 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
7.864 * [backup-simplify]: Simplify (+ 0 0) into 0
7.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/4 (/ (sqrt 1/2) (sqrt 2))))))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into 0
7.866 * [backup-simplify]: Simplify (+ 0 0) into 0
7.866 * [backup-simplify]: Simplify 0 into 0
7.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.870 * [backup-simplify]: Simplify (+ 0 0) into 0
7.871 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
7.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
7.874 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
7.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
7.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.887 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
7.890 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
7.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
7.914 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* 5/32 (sqrt 1/2))) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 1/2))) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (* 5/32 (sqrt 1/2)) (sqrt 1/2)))))) into (* 3/8 (pow (sqrt 1/2) 2))
7.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.917 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
7.919 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0
7.922 * [backup-simplify]: Simplify (+ (* 3/8 (pow (sqrt 1/2) 2)) 0) into (* 3/8 (pow (sqrt 1/2) 2))
7.942 * [backup-simplify]: Simplify (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (pow (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2))))
7.958 * [backup-simplify]: Simplify (+ (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) 0) into (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3))))
7.965 * [backup-simplify]: Simplify (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) into (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3))))
7.973 * [backup-simplify]: Simplify (+ (* (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) (pow x 2)) (+ (* (sqrt 2) (sqrt 1/2)) 1))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3)))))
7.974 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1)
7.974 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0
7.974 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
7.974 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
7.974 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
7.974 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
7.974 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
7.974 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
7.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
7.974 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
7.974 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
7.974 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
7.974 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
7.974 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.974 * [taylor]: Taking taylor expansion of 1 in x
7.974 * [backup-simplify]: Simplify 1 into 1
7.974 * [taylor]: Taking taylor expansion of 1 in x
7.974 * [backup-simplify]: Simplify 1 into 1
7.974 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.974 * [taylor]: Taking taylor expansion of x in x
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 1 into 1
7.974 * [backup-simplify]: Simplify (/ 1 1) into 1
7.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.974 * [taylor]: Taking taylor expansion of x in x
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 1 into 1
7.975 * [backup-simplify]: Simplify (/ 1 1) into 1
7.975 * [backup-simplify]: Simplify (* 1 1) into 1
7.975 * [backup-simplify]: Simplify (+ 0 1) into 1
7.975 * [backup-simplify]: Simplify (sqrt 1) into 1
7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.977 * [backup-simplify]: Simplify (+ 0 0) into 0
7.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.977 * [backup-simplify]: Simplify (/ 1 1) into 1
7.978 * [backup-simplify]: Simplify (sqrt 0) into 0
7.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.979 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.979 * [taylor]: Taking taylor expansion of 1/2 in x
7.979 * [backup-simplify]: Simplify 1/2 into 1/2
7.979 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.979 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
7.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
7.979 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
7.980 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
7.980 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
7.980 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
7.980 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.980 * [taylor]: Taking taylor expansion of 1 in x
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [taylor]: Taking taylor expansion of 1 in x
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.980 * [taylor]: Taking taylor expansion of x in x
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (/ 1 1) into 1
7.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.980 * [taylor]: Taking taylor expansion of x in x
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (/ 1 1) into 1
7.981 * [backup-simplify]: Simplify (* 1 1) into 1
7.981 * [backup-simplify]: Simplify (+ 0 1) into 1
7.981 * [backup-simplify]: Simplify (sqrt 1) into 1
7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.983 * [backup-simplify]: Simplify (+ 0 0) into 0
7.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.984 * [backup-simplify]: Simplify (/ 1 1) into 1
7.984 * [backup-simplify]: Simplify (sqrt 0) into 0
7.985 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.985 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.985 * [taylor]: Taking taylor expansion of 1/2 in x
7.985 * [backup-simplify]: Simplify 1/2 into 1/2
7.985 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.986 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
7.986 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.986 * [taylor]: Taking taylor expansion of 1/2 in x
7.986 * [backup-simplify]: Simplify 1/2 into 1/2
7.986 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.986 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
7.986 * [taylor]: Taking taylor expansion of 1/2 in x
7.986 * [backup-simplify]: Simplify 1/2 into 1/2
7.987 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
7.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
7.987 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
7.988 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
7.988 * [backup-simplify]: Simplify (* 0 0) into 0
7.989 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
7.990 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
7.991 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
7.992 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.993 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
7.994 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
7.994 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
7.995 * [backup-simplify]: Simplify (+ 0 0) into 0
7.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
7.995 * [taylor]: Taking taylor expansion of 1 in x
7.995 * [backup-simplify]: Simplify 1 into 1
7.995 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
7.995 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
7.995 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
7.995 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
7.995 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
7.995 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
7.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
7.995 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
7.996 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
7.996 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
7.996 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
7.996 * [taylor]: Taking taylor expansion of (* 1 1) in x
7.996 * [taylor]: Taking taylor expansion of 1 in x
7.996 * [backup-simplify]: Simplify 1 into 1
7.996 * [taylor]: Taking taylor expansion of 1 in x
7.996 * [backup-simplify]: Simplify 1 into 1
7.996 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.996 * [taylor]: Taking taylor expansion of x in x
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.996 * [backup-simplify]: Simplify (/ 1 1) into 1
7.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.996 * [taylor]: Taking taylor expansion of x in x
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.996 * [backup-simplify]: Simplify (/ 1 1) into 1
7.997 * [backup-simplify]: Simplify (* 1 1) into 1
7.997 * [backup-simplify]: Simplify (+ 0 1) into 1
7.997 * [backup-simplify]: Simplify (sqrt 1) into 1
7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.999 * [backup-simplify]: Simplify (+ 0 0) into 0
7.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.999 * [backup-simplify]: Simplify (/ 1 1) into 1
7.999 * [backup-simplify]: Simplify (sqrt 0) into 0
8.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.000 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.000 * [taylor]: Taking taylor expansion of 1/2 in x
8.000 * [backup-simplify]: Simplify 1/2 into 1/2
8.001 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.001 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
8.001 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
8.001 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
8.001 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
8.001 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
8.001 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
8.001 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.001 * [taylor]: Taking taylor expansion of 1 in x
8.001 * [backup-simplify]: Simplify 1 into 1
8.001 * [taylor]: Taking taylor expansion of 1 in x
8.001 * [backup-simplify]: Simplify 1 into 1
8.001 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
8.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.001 * [taylor]: Taking taylor expansion of x in x
8.001 * [backup-simplify]: Simplify 0 into 0
8.001 * [backup-simplify]: Simplify 1 into 1
8.002 * [backup-simplify]: Simplify (/ 1 1) into 1
8.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.002 * [taylor]: Taking taylor expansion of x in x
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 1 into 1
8.002 * [backup-simplify]: Simplify (/ 1 1) into 1
8.002 * [backup-simplify]: Simplify (* 1 1) into 1
8.003 * [backup-simplify]: Simplify (+ 0 1) into 1
8.003 * [backup-simplify]: Simplify (sqrt 1) into 1
8.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.006 * [backup-simplify]: Simplify (+ 0 0) into 0
8.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.007 * [backup-simplify]: Simplify (/ 1 1) into 1
8.007 * [backup-simplify]: Simplify (sqrt 0) into 0
8.008 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.008 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.008 * [taylor]: Taking taylor expansion of 1/2 in x
8.008 * [backup-simplify]: Simplify 1/2 into 1/2
8.009 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.009 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.009 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.009 * [taylor]: Taking taylor expansion of 1/2 in x
8.009 * [backup-simplify]: Simplify 1/2 into 1/2
8.010 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.010 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.010 * [taylor]: Taking taylor expansion of 1/2 in x
8.011 * [backup-simplify]: Simplify 1/2 into 1/2
8.011 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.012 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.013 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.013 * [backup-simplify]: Simplify (* 0 0) into 0
8.014 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.015 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
8.017 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
8.019 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.021 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.022 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
8.023 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.023 * [backup-simplify]: Simplify (+ 0 0) into 0
8.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
8.024 * [taylor]: Taking taylor expansion of 1 in x
8.024 * [backup-simplify]: Simplify 1 into 1
8.025 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
8.026 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
8.026 * [backup-simplify]: Simplify (+ 0 0) into 0
8.026 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.031 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.038 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.051 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.054 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
8.057 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.065 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.066 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
8.068 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.070 * [backup-simplify]: Simplify (* 1 1) into 1
8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.073 * [backup-simplify]: Simplify (+ 1 0) into 1
8.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.080 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.087 * [backup-simplify]: Simplify (* 1 1) into 1
8.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.091 * [backup-simplify]: Simplify (+ 1 0) into 1
8.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.098 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.112 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.115 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
8.117 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.121 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.123 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
8.123 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.126 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))
8.126 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1)
8.126 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0
8.126 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
8.127 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
8.127 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.127 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.127 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
8.127 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.127 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.127 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.127 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.127 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.127 * [taylor]: Taking taylor expansion of 1 in x
8.127 * [backup-simplify]: Simplify 1 into 1
8.127 * [taylor]: Taking taylor expansion of 1 in x
8.127 * [backup-simplify]: Simplify 1 into 1
8.127 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.127 * [taylor]: Taking taylor expansion of -1 in x
8.127 * [backup-simplify]: Simplify -1 into -1
8.127 * [taylor]: Taking taylor expansion of x in x
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify 1 into 1
8.127 * [backup-simplify]: Simplify (/ -1 1) into -1
8.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.127 * [taylor]: Taking taylor expansion of -1 in x
8.127 * [backup-simplify]: Simplify -1 into -1
8.127 * [taylor]: Taking taylor expansion of x in x
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify 1 into 1
8.128 * [backup-simplify]: Simplify (/ -1 1) into -1
8.128 * [backup-simplify]: Simplify (* -1 -1) into 1
8.128 * [backup-simplify]: Simplify (+ 0 1) into 1
8.128 * [backup-simplify]: Simplify (sqrt 1) into 1
8.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.130 * [backup-simplify]: Simplify (+ 0 0) into 0
8.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.131 * [backup-simplify]: Simplify (/ 1 1) into 1
8.131 * [backup-simplify]: Simplify (sqrt 0) into 0
8.132 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.132 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.132 * [taylor]: Taking taylor expansion of 1/2 in x
8.132 * [backup-simplify]: Simplify 1/2 into 1/2
8.132 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.133 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.133 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.133 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.133 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.133 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.133 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.133 * [taylor]: Taking taylor expansion of 1 in x
8.133 * [backup-simplify]: Simplify 1 into 1
8.133 * [taylor]: Taking taylor expansion of 1 in x
8.133 * [backup-simplify]: Simplify 1 into 1
8.133 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.133 * [taylor]: Taking taylor expansion of -1 in x
8.133 * [backup-simplify]: Simplify -1 into -1
8.133 * [taylor]: Taking taylor expansion of x in x
8.133 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify 1 into 1
8.133 * [backup-simplify]: Simplify (/ -1 1) into -1
8.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.133 * [taylor]: Taking taylor expansion of -1 in x
8.133 * [backup-simplify]: Simplify -1 into -1
8.133 * [taylor]: Taking taylor expansion of x in x
8.133 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify 1 into 1
8.134 * [backup-simplify]: Simplify (/ -1 1) into -1
8.134 * [backup-simplify]: Simplify (* -1 -1) into 1
8.134 * [backup-simplify]: Simplify (+ 0 1) into 1
8.134 * [backup-simplify]: Simplify (sqrt 1) into 1
8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.136 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.136 * [backup-simplify]: Simplify (+ 0 0) into 0
8.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.137 * [backup-simplify]: Simplify (/ 1 1) into 1
8.137 * [backup-simplify]: Simplify (sqrt 0) into 0
8.138 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.138 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.138 * [taylor]: Taking taylor expansion of 1/2 in x
8.138 * [backup-simplify]: Simplify 1/2 into 1/2
8.138 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.139 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.139 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.139 * [taylor]: Taking taylor expansion of 1/2 in x
8.139 * [backup-simplify]: Simplify 1/2 into 1/2
8.139 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.139 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.139 * [taylor]: Taking taylor expansion of 1/2 in x
8.139 * [backup-simplify]: Simplify 1/2 into 1/2
8.140 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.140 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.141 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.141 * [backup-simplify]: Simplify (* 0 0) into 0
8.142 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.143 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
8.144 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
8.145 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.146 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.147 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
8.147 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.148 * [backup-simplify]: Simplify (+ 0 0) into 0
8.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
8.148 * [taylor]: Taking taylor expansion of 1 in x
8.148 * [backup-simplify]: Simplify 1 into 1
8.148 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
8.148 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
8.148 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.148 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.148 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
8.148 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.148 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.148 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.148 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.148 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.148 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.148 * [taylor]: Taking taylor expansion of 1 in x
8.148 * [backup-simplify]: Simplify 1 into 1
8.148 * [taylor]: Taking taylor expansion of 1 in x
8.148 * [backup-simplify]: Simplify 1 into 1
8.148 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.149 * [taylor]: Taking taylor expansion of -1 in x
8.149 * [backup-simplify]: Simplify -1 into -1
8.149 * [taylor]: Taking taylor expansion of x in x
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify 1 into 1
8.149 * [backup-simplify]: Simplify (/ -1 1) into -1
8.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.149 * [taylor]: Taking taylor expansion of -1 in x
8.149 * [backup-simplify]: Simplify -1 into -1
8.149 * [taylor]: Taking taylor expansion of x in x
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify 1 into 1
8.149 * [backup-simplify]: Simplify (/ -1 1) into -1
8.149 * [backup-simplify]: Simplify (* -1 -1) into 1
8.150 * [backup-simplify]: Simplify (+ 0 1) into 1
8.150 * [backup-simplify]: Simplify (sqrt 1) into 1
8.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.151 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.152 * [backup-simplify]: Simplify (+ 0 0) into 0
8.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.152 * [backup-simplify]: Simplify (/ 1 1) into 1
8.153 * [backup-simplify]: Simplify (sqrt 0) into 0
8.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.158 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.158 * [taylor]: Taking taylor expansion of 1/2 in x
8.158 * [backup-simplify]: Simplify 1/2 into 1/2
8.159 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.159 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.160 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.160 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.160 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.160 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.160 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.160 * [taylor]: Taking taylor expansion of 1 in x
8.160 * [backup-simplify]: Simplify 1 into 1
8.160 * [taylor]: Taking taylor expansion of 1 in x
8.160 * [backup-simplify]: Simplify 1 into 1
8.160 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.160 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.160 * [taylor]: Taking taylor expansion of -1 in x
8.160 * [backup-simplify]: Simplify -1 into -1
8.160 * [taylor]: Taking taylor expansion of x in x
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify 1 into 1
8.160 * [backup-simplify]: Simplify (/ -1 1) into -1
8.160 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.160 * [taylor]: Taking taylor expansion of -1 in x
8.160 * [backup-simplify]: Simplify -1 into -1
8.160 * [taylor]: Taking taylor expansion of x in x
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify 1 into 1
8.161 * [backup-simplify]: Simplify (/ -1 1) into -1
8.161 * [backup-simplify]: Simplify (* -1 -1) into 1
8.161 * [backup-simplify]: Simplify (+ 0 1) into 1
8.161 * [backup-simplify]: Simplify (sqrt 1) into 1
8.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.163 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.163 * [backup-simplify]: Simplify (+ 0 0) into 0
8.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.164 * [backup-simplify]: Simplify (/ 1 1) into 1
8.164 * [backup-simplify]: Simplify (sqrt 0) into 0
8.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.165 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.165 * [taylor]: Taking taylor expansion of 1/2 in x
8.165 * [backup-simplify]: Simplify 1/2 into 1/2
8.165 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.166 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.166 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.166 * [taylor]: Taking taylor expansion of 1/2 in x
8.166 * [backup-simplify]: Simplify 1/2 into 1/2
8.166 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.167 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.167 * [taylor]: Taking taylor expansion of 1/2 in x
8.167 * [backup-simplify]: Simplify 1/2 into 1/2
8.167 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.168 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.168 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.168 * [backup-simplify]: Simplify (* 0 0) into 0
8.169 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.170 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
8.171 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
8.172 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.174 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.174 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
8.175 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.175 * [backup-simplify]: Simplify (+ 0 0) into 0
8.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
8.176 * [taylor]: Taking taylor expansion of 1 in x
8.176 * [backup-simplify]: Simplify 1 into 1
8.176 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
8.177 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
8.177 * [backup-simplify]: Simplify (+ 0 0) into 0
8.177 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.185 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.192 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.193 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.194 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
8.196 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.201 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.202 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
8.203 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.204 * [backup-simplify]: Simplify (* 1 1) into 1
8.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.207 * [backup-simplify]: Simplify (+ 1 0) into 1
8.207 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.210 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.215 * [backup-simplify]: Simplify (* 1 1) into 1
8.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.218 * [backup-simplify]: Simplify (+ 1 0) into 1
8.219 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.224 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.242 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.245 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
8.249 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.256 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.264 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
8.265 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.271 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))
8.271 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
8.272 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2))
8.272 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0
8.272 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
8.272 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.272 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.272 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
8.272 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
8.272 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
8.272 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
8.272 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
8.272 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
8.272 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
8.272 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.272 * [taylor]: Taking taylor expansion of 1 in x
8.272 * [backup-simplify]: Simplify 1 into 1
8.272 * [taylor]: Taking taylor expansion of 1 in x
8.272 * [backup-simplify]: Simplify 1 into 1
8.272 * [taylor]: Taking taylor expansion of (* x x) in x
8.272 * [taylor]: Taking taylor expansion of x in x
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 1 into 1
8.272 * [taylor]: Taking taylor expansion of x in x
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 1 into 1
8.273 * [backup-simplify]: Simplify (* 1 1) into 1
8.273 * [backup-simplify]: Simplify (* 0 0) into 0
8.274 * [backup-simplify]: Simplify (+ 1 0) into 1
8.274 * [backup-simplify]: Simplify (sqrt 1) into 1
8.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.276 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.276 * [backup-simplify]: Simplify (+ 0 0) into 0
8.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.277 * [backup-simplify]: Simplify (/ 1 1) into 1
8.277 * [backup-simplify]: Simplify (sqrt 1) into 1
8.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.279 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.279 * [taylor]: Taking taylor expansion of 1/2 in x
8.279 * [backup-simplify]: Simplify 1/2 into 1/2
8.279 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.280 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
8.280 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
8.280 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
8.280 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
8.280 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
8.280 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
8.280 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.280 * [taylor]: Taking taylor expansion of 1 in x
8.280 * [backup-simplify]: Simplify 1 into 1
8.280 * [taylor]: Taking taylor expansion of 1 in x
8.280 * [backup-simplify]: Simplify 1 into 1
8.280 * [taylor]: Taking taylor expansion of (* x x) in x
8.280 * [taylor]: Taking taylor expansion of x in x
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 1 into 1
8.280 * [taylor]: Taking taylor expansion of x in x
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 1 into 1
8.281 * [backup-simplify]: Simplify (* 1 1) into 1
8.281 * [backup-simplify]: Simplify (* 0 0) into 0
8.281 * [backup-simplify]: Simplify (+ 1 0) into 1
8.282 * [backup-simplify]: Simplify (sqrt 1) into 1
8.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.283 * [backup-simplify]: Simplify (+ 0 0) into 0
8.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.284 * [backup-simplify]: Simplify (/ 1 1) into 1
8.285 * [backup-simplify]: Simplify (sqrt 1) into 1
8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.286 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.286 * [taylor]: Taking taylor expansion of 1/2 in x
8.286 * [backup-simplify]: Simplify 1/2 into 1/2
8.287 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.287 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.287 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.287 * [taylor]: Taking taylor expansion of 1/2 in x
8.287 * [backup-simplify]: Simplify 1/2 into 1/2
8.288 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.289 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.289 * [taylor]: Taking taylor expansion of 1/2 in x
8.289 * [backup-simplify]: Simplify 1/2 into 1/2
8.289 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.291 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
8.291 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
8.293 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.294 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.296 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
8.298 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
8.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
8.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
8.301 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.302 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.302 * [backup-simplify]: Simplify (+ 0 0) into 0
8.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
8.303 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
8.303 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.303 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.303 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
8.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
8.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
8.303 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
8.303 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
8.303 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
8.304 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
8.304 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.304 * [taylor]: Taking taylor expansion of 1 in x
8.304 * [backup-simplify]: Simplify 1 into 1
8.304 * [taylor]: Taking taylor expansion of 1 in x
8.304 * [backup-simplify]: Simplify 1 into 1
8.304 * [taylor]: Taking taylor expansion of (* x x) in x
8.304 * [taylor]: Taking taylor expansion of x in x
8.304 * [backup-simplify]: Simplify 0 into 0
8.304 * [backup-simplify]: Simplify 1 into 1
8.304 * [taylor]: Taking taylor expansion of x in x
8.304 * [backup-simplify]: Simplify 0 into 0
8.304 * [backup-simplify]: Simplify 1 into 1
8.304 * [backup-simplify]: Simplify (* 1 1) into 1
8.305 * [backup-simplify]: Simplify (* 0 0) into 0
8.305 * [backup-simplify]: Simplify (+ 1 0) into 1
8.305 * [backup-simplify]: Simplify (sqrt 1) into 1
8.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.307 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.307 * [backup-simplify]: Simplify (+ 0 0) into 0
8.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.308 * [backup-simplify]: Simplify (/ 1 1) into 1
8.308 * [backup-simplify]: Simplify (sqrt 1) into 1
8.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.310 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.310 * [taylor]: Taking taylor expansion of 1/2 in x
8.310 * [backup-simplify]: Simplify 1/2 into 1/2
8.310 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.311 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
8.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
8.311 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
8.311 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
8.311 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
8.311 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
8.311 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.311 * [taylor]: Taking taylor expansion of 1 in x
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [taylor]: Taking taylor expansion of 1 in x
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [taylor]: Taking taylor expansion of (* x x) in x
8.311 * [taylor]: Taking taylor expansion of x in x
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [taylor]: Taking taylor expansion of x in x
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.312 * [backup-simplify]: Simplify (* 1 1) into 1
8.312 * [backup-simplify]: Simplify (* 0 0) into 0
8.313 * [backup-simplify]: Simplify (+ 1 0) into 1
8.313 * [backup-simplify]: Simplify (sqrt 1) into 1
8.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.314 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.315 * [backup-simplify]: Simplify (+ 0 0) into 0
8.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.316 * [backup-simplify]: Simplify (/ 1 1) into 1
8.316 * [backup-simplify]: Simplify (sqrt 1) into 1
8.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.317 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.317 * [taylor]: Taking taylor expansion of 1/2 in x
8.317 * [backup-simplify]: Simplify 1/2 into 1/2
8.318 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.319 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.319 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.319 * [taylor]: Taking taylor expansion of 1/2 in x
8.319 * [backup-simplify]: Simplify 1/2 into 1/2
8.319 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.320 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.320 * [taylor]: Taking taylor expansion of 1/2 in x
8.320 * [backup-simplify]: Simplify 1/2 into 1/2
8.320 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.322 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
8.323 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
8.324 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.326 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.328 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
8.330 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
8.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
8.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
8.333 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.333 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.334 * [backup-simplify]: Simplify (+ 0 0) into 0
8.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
8.336 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2))
8.336 * [backup-simplify]: Simplify 0 into 0
8.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.340 * [backup-simplify]: Simplify (+ 0 1) into 1
8.341 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.343 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
8.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
8.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.350 * [backup-simplify]: Simplify (+ 0 1) into 1
8.351 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.353 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
8.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
8.366 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (- (* 1/4 (sqrt 1/2))) (sqrt 1/2)))) into (- (* 1/2 (pow (sqrt 1/2) 2)))
8.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.369 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
8.372 * [backup-simplify]: Simplify (+ (- (* 1/2 (pow (sqrt 1/2) 2))) 0) into (- (* 1/2 (pow (sqrt 1/2) 2)))
8.381 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2)))
8.383 * [backup-simplify]: Simplify (* -1/4 (/ (sqrt 1/2) (sqrt 2))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2)))
8.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.385 * [backup-simplify]: Simplify (+ 0 0) into 0
8.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
8.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
8.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.390 * [backup-simplify]: Simplify (+ 0 0) into 0
8.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
8.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
8.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
8.401 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/4 (sqrt 1/2)))) (+ (* (- (* 1/4 (sqrt 1/2))) 0) (* 0 (sqrt 1/2))))) into 0
8.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.403 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
8.404 * [backup-simplify]: Simplify (+ 0 0) into 0
8.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/4 (/ (sqrt 1/2) (sqrt 2))))))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into 0
8.405 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.407 * [backup-simplify]: Simplify (+ 0 0) into 0
8.408 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
8.410 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
8.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
8.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
8.419 * [backup-simplify]: Simplify (+ 0 0) into 0
8.420 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
8.423 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
8.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
8.447 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* 5/32 (sqrt 1/2))) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 1/2))) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (* 5/32 (sqrt 1/2)) (sqrt 1/2)))))) into (* 3/8 (pow (sqrt 1/2) 2))
8.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.451 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0
8.454 * [backup-simplify]: Simplify (+ (* 3/8 (pow (sqrt 1/2) 2)) 0) into (* 3/8 (pow (sqrt 1/2) 2))
8.467 * [backup-simplify]: Simplify (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (pow (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2))))
8.480 * [backup-simplify]: Simplify (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2))))
8.498 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) (pow x 4)) (+ (* (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3)))))
8.499 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2))
8.499 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0
8.499 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
8.499 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.499 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.499 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
8.499 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
8.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
8.499 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
8.499 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
8.499 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
8.499 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
8.499 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.499 * [taylor]: Taking taylor expansion of 1 in x
8.499 * [backup-simplify]: Simplify 1 into 1
8.499 * [taylor]: Taking taylor expansion of 1 in x
8.499 * [backup-simplify]: Simplify 1 into 1
8.499 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
8.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.499 * [taylor]: Taking taylor expansion of x in x
8.499 * [backup-simplify]: Simplify 0 into 0
8.499 * [backup-simplify]: Simplify 1 into 1
8.500 * [backup-simplify]: Simplify (/ 1 1) into 1
8.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.500 * [taylor]: Taking taylor expansion of x in x
8.500 * [backup-simplify]: Simplify 0 into 0
8.500 * [backup-simplify]: Simplify 1 into 1
8.500 * [backup-simplify]: Simplify (/ 1 1) into 1
8.500 * [backup-simplify]: Simplify (* 1 1) into 1
8.501 * [backup-simplify]: Simplify (+ 0 1) into 1
8.501 * [backup-simplify]: Simplify (sqrt 1) into 1
8.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.504 * [backup-simplify]: Simplify (+ 0 0) into 0
8.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.505 * [backup-simplify]: Simplify (/ 1 1) into 1
8.505 * [backup-simplify]: Simplify (sqrt 0) into 0
8.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.507 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.507 * [taylor]: Taking taylor expansion of 1/2 in x
8.507 * [backup-simplify]: Simplify 1/2 into 1/2
8.507 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.508 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
8.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
8.508 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
8.508 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
8.508 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
8.508 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
8.508 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.508 * [taylor]: Taking taylor expansion of 1 in x
8.508 * [backup-simplify]: Simplify 1 into 1
8.508 * [taylor]: Taking taylor expansion of 1 in x
8.508 * [backup-simplify]: Simplify 1 into 1
8.508 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
8.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.508 * [taylor]: Taking taylor expansion of x in x
8.508 * [backup-simplify]: Simplify 0 into 0
8.508 * [backup-simplify]: Simplify 1 into 1
8.509 * [backup-simplify]: Simplify (/ 1 1) into 1
8.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.509 * [taylor]: Taking taylor expansion of x in x
8.509 * [backup-simplify]: Simplify 0 into 0
8.509 * [backup-simplify]: Simplify 1 into 1
8.509 * [backup-simplify]: Simplify (/ 1 1) into 1
8.510 * [backup-simplify]: Simplify (* 1 1) into 1
8.510 * [backup-simplify]: Simplify (+ 0 1) into 1
8.511 * [backup-simplify]: Simplify (sqrt 1) into 1
8.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.513 * [backup-simplify]: Simplify (+ 0 0) into 0
8.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.514 * [backup-simplify]: Simplify (/ 1 1) into 1
8.515 * [backup-simplify]: Simplify (sqrt 0) into 0
8.516 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.516 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.516 * [taylor]: Taking taylor expansion of 1/2 in x
8.516 * [backup-simplify]: Simplify 1/2 into 1/2
8.516 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.517 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.517 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.517 * [taylor]: Taking taylor expansion of 1/2 in x
8.517 * [backup-simplify]: Simplify 1/2 into 1/2
8.518 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.518 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.518 * [taylor]: Taking taylor expansion of 1/2 in x
8.518 * [backup-simplify]: Simplify 1/2 into 1/2
8.519 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.520 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.520 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.521 * [backup-simplify]: Simplify (* 0 0) into 0
8.522 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.524 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
8.525 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
8.527 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.529 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.530 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
8.531 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.532 * [backup-simplify]: Simplify (+ 0 0) into 0
8.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
8.539 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
8.539 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.539 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.539 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
8.539 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
8.539 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
8.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
8.540 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
8.540 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
8.540 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
8.540 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.540 * [taylor]: Taking taylor expansion of 1 in x
8.540 * [backup-simplify]: Simplify 1 into 1
8.540 * [taylor]: Taking taylor expansion of 1 in x
8.540 * [backup-simplify]: Simplify 1 into 1
8.540 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
8.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.540 * [taylor]: Taking taylor expansion of x in x
8.540 * [backup-simplify]: Simplify 0 into 0
8.540 * [backup-simplify]: Simplify 1 into 1
8.541 * [backup-simplify]: Simplify (/ 1 1) into 1
8.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.541 * [taylor]: Taking taylor expansion of x in x
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 1 into 1
8.541 * [backup-simplify]: Simplify (/ 1 1) into 1
8.542 * [backup-simplify]: Simplify (* 1 1) into 1
8.542 * [backup-simplify]: Simplify (+ 0 1) into 1
8.542 * [backup-simplify]: Simplify (sqrt 1) into 1
8.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.545 * [backup-simplify]: Simplify (+ 0 0) into 0
8.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.546 * [backup-simplify]: Simplify (/ 1 1) into 1
8.547 * [backup-simplify]: Simplify (sqrt 0) into 0
8.548 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.548 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.548 * [taylor]: Taking taylor expansion of 1/2 in x
8.548 * [backup-simplify]: Simplify 1/2 into 1/2
8.549 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.550 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
8.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
8.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
8.550 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
8.550 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
8.550 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
8.550 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.550 * [taylor]: Taking taylor expansion of 1 in x
8.550 * [backup-simplify]: Simplify 1 into 1
8.550 * [taylor]: Taking taylor expansion of 1 in x
8.550 * [backup-simplify]: Simplify 1 into 1
8.550 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
8.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.550 * [taylor]: Taking taylor expansion of x in x
8.550 * [backup-simplify]: Simplify 0 into 0
8.550 * [backup-simplify]: Simplify 1 into 1
8.550 * [backup-simplify]: Simplify (/ 1 1) into 1
8.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.550 * [taylor]: Taking taylor expansion of x in x
8.551 * [backup-simplify]: Simplify 0 into 0
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [backup-simplify]: Simplify (/ 1 1) into 1
8.551 * [backup-simplify]: Simplify (* 1 1) into 1
8.552 * [backup-simplify]: Simplify (+ 0 1) into 1
8.552 * [backup-simplify]: Simplify (sqrt 1) into 1
8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.555 * [backup-simplify]: Simplify (+ 0 0) into 0
8.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.556 * [backup-simplify]: Simplify (/ 1 1) into 1
8.557 * [backup-simplify]: Simplify (sqrt 0) into 0
8.559 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.559 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.559 * [taylor]: Taking taylor expansion of 1/2 in x
8.559 * [backup-simplify]: Simplify 1/2 into 1/2
8.560 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.560 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.560 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.561 * [taylor]: Taking taylor expansion of 1/2 in x
8.561 * [backup-simplify]: Simplify 1/2 into 1/2
8.561 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.562 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.562 * [taylor]: Taking taylor expansion of 1/2 in x
8.562 * [backup-simplify]: Simplify 1/2 into 1/2
8.562 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.564 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.564 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.565 * [backup-simplify]: Simplify (* 0 0) into 0
8.566 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.568 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
8.569 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
8.572 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.574 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.575 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
8.576 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.576 * [backup-simplify]: Simplify (+ 0 0) into 0
8.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
8.578 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.578 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.583 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.592 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.604 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.607 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
8.611 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.619 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.620 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
8.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.622 * [backup-simplify]: Simplify (* 1 1) into 1
8.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.623 * [backup-simplify]: Simplify (+ 1 0) into 1
8.624 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.627 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.631 * [backup-simplify]: Simplify (* 1 1) into 1
8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.633 * [backup-simplify]: Simplify (+ 1 0) into 1
8.633 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.636 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.647 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.649 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
8.651 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.667 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.668 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
8.671 * [backup-simplify]: Simplify (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 x) 3)) (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 x) 2)) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))
8.671 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2))
8.671 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0
8.671 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
8.672 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.672 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.672 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
8.672 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.672 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.672 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.672 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.672 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.672 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.672 * [taylor]: Taking taylor expansion of 1 in x
8.672 * [backup-simplify]: Simplify 1 into 1
8.672 * [taylor]: Taking taylor expansion of 1 in x
8.672 * [backup-simplify]: Simplify 1 into 1
8.672 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.672 * [taylor]: Taking taylor expansion of -1 in x
8.672 * [backup-simplify]: Simplify -1 into -1
8.672 * [taylor]: Taking taylor expansion of x in x
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (/ -1 1) into -1
8.673 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.673 * [taylor]: Taking taylor expansion of -1 in x
8.673 * [backup-simplify]: Simplify -1 into -1
8.673 * [taylor]: Taking taylor expansion of x in x
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (/ -1 1) into -1
8.674 * [backup-simplify]: Simplify (* -1 -1) into 1
8.674 * [backup-simplify]: Simplify (+ 0 1) into 1
8.674 * [backup-simplify]: Simplify (sqrt 1) into 1
8.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.677 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.677 * [backup-simplify]: Simplify (+ 0 0) into 0
8.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.678 * [backup-simplify]: Simplify (/ 1 1) into 1
8.679 * [backup-simplify]: Simplify (sqrt 0) into 0
8.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.680 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.680 * [taylor]: Taking taylor expansion of 1/2 in x
8.680 * [backup-simplify]: Simplify 1/2 into 1/2
8.681 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.681 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.682 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.682 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.682 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.682 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.682 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.682 * [taylor]: Taking taylor expansion of 1 in x
8.682 * [backup-simplify]: Simplify 1 into 1
8.682 * [taylor]: Taking taylor expansion of 1 in x
8.682 * [backup-simplify]: Simplify 1 into 1
8.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.682 * [taylor]: Taking taylor expansion of -1 in x
8.682 * [backup-simplify]: Simplify -1 into -1
8.682 * [taylor]: Taking taylor expansion of x in x
8.682 * [backup-simplify]: Simplify 0 into 0
8.682 * [backup-simplify]: Simplify 1 into 1
8.682 * [backup-simplify]: Simplify (/ -1 1) into -1
8.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.683 * [taylor]: Taking taylor expansion of -1 in x
8.683 * [backup-simplify]: Simplify -1 into -1
8.683 * [taylor]: Taking taylor expansion of x in x
8.683 * [backup-simplify]: Simplify 0 into 0
8.683 * [backup-simplify]: Simplify 1 into 1
8.683 * [backup-simplify]: Simplify (/ -1 1) into -1
8.683 * [backup-simplify]: Simplify (* -1 -1) into 1
8.684 * [backup-simplify]: Simplify (+ 0 1) into 1
8.684 * [backup-simplify]: Simplify (sqrt 1) into 1
8.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.687 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.687 * [backup-simplify]: Simplify (+ 0 0) into 0
8.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.688 * [backup-simplify]: Simplify (/ 1 1) into 1
8.689 * [backup-simplify]: Simplify (sqrt 0) into 0
8.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.690 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.690 * [taylor]: Taking taylor expansion of 1/2 in x
8.690 * [backup-simplify]: Simplify 1/2 into 1/2
8.691 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.691 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.691 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.691 * [taylor]: Taking taylor expansion of 1/2 in x
8.691 * [backup-simplify]: Simplify 1/2 into 1/2
8.692 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.693 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.693 * [taylor]: Taking taylor expansion of 1/2 in x
8.693 * [backup-simplify]: Simplify 1/2 into 1/2
8.693 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.694 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.695 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.695 * [backup-simplify]: Simplify (* 0 0) into 0
8.697 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.698 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
8.700 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
8.702 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.704 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.705 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
8.706 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.707 * [backup-simplify]: Simplify (+ 0 0) into 0
8.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
8.709 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
8.709 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
8.709 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
8.709 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
8.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.709 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.709 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.709 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.709 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.709 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.709 * [taylor]: Taking taylor expansion of 1 in x
8.709 * [backup-simplify]: Simplify 1 into 1
8.709 * [taylor]: Taking taylor expansion of 1 in x
8.709 * [backup-simplify]: Simplify 1 into 1
8.709 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.709 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.709 * [taylor]: Taking taylor expansion of -1 in x
8.709 * [backup-simplify]: Simplify -1 into -1
8.709 * [taylor]: Taking taylor expansion of x in x
8.709 * [backup-simplify]: Simplify 0 into 0
8.709 * [backup-simplify]: Simplify 1 into 1
8.710 * [backup-simplify]: Simplify (/ -1 1) into -1
8.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.710 * [taylor]: Taking taylor expansion of -1 in x
8.710 * [backup-simplify]: Simplify -1 into -1
8.710 * [taylor]: Taking taylor expansion of x in x
8.710 * [backup-simplify]: Simplify 0 into 0
8.710 * [backup-simplify]: Simplify 1 into 1
8.710 * [backup-simplify]: Simplify (/ -1 1) into -1
8.711 * [backup-simplify]: Simplify (* -1 -1) into 1
8.711 * [backup-simplify]: Simplify (+ 0 1) into 1
8.712 * [backup-simplify]: Simplify (sqrt 1) into 1
8.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.714 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.714 * [backup-simplify]: Simplify (+ 0 0) into 0
8.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.715 * [backup-simplify]: Simplify (/ 1 1) into 1
8.716 * [backup-simplify]: Simplify (sqrt 0) into 0
8.717 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.718 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.718 * [taylor]: Taking taylor expansion of 1/2 in x
8.718 * [backup-simplify]: Simplify 1/2 into 1/2
8.718 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
8.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
8.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
8.719 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
8.719 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
8.719 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
8.719 * [taylor]: Taking taylor expansion of (* 1 1) in x
8.719 * [taylor]: Taking taylor expansion of 1 in x
8.719 * [backup-simplify]: Simplify 1 into 1
8.719 * [taylor]: Taking taylor expansion of 1 in x
8.719 * [backup-simplify]: Simplify 1 into 1
8.719 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
8.719 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.719 * [taylor]: Taking taylor expansion of -1 in x
8.719 * [backup-simplify]: Simplify -1 into -1
8.719 * [taylor]: Taking taylor expansion of x in x
8.719 * [backup-simplify]: Simplify 0 into 0
8.719 * [backup-simplify]: Simplify 1 into 1
8.720 * [backup-simplify]: Simplify (/ -1 1) into -1
8.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x
8.720 * [taylor]: Taking taylor expansion of -1 in x
8.720 * [backup-simplify]: Simplify -1 into -1
8.720 * [taylor]: Taking taylor expansion of x in x
8.720 * [backup-simplify]: Simplify 0 into 0
8.720 * [backup-simplify]: Simplify 1 into 1
8.720 * [backup-simplify]: Simplify (/ -1 1) into -1
8.721 * [backup-simplify]: Simplify (* -1 -1) into 1
8.721 * [backup-simplify]: Simplify (+ 0 1) into 1
8.721 * [backup-simplify]: Simplify (sqrt 1) into 1
8.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.724 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.724 * [backup-simplify]: Simplify (+ 0 0) into 0
8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.725 * [backup-simplify]: Simplify (/ 1 1) into 1
8.726 * [backup-simplify]: Simplify (sqrt 0) into 0
8.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.727 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.727 * [taylor]: Taking taylor expansion of 1/2 in x
8.727 * [backup-simplify]: Simplify 1/2 into 1/2
8.727 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.728 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
8.728 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.728 * [taylor]: Taking taylor expansion of 1/2 in x
8.728 * [backup-simplify]: Simplify 1/2 into 1/2
8.729 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.729 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
8.729 * [taylor]: Taking taylor expansion of 1/2 in x
8.730 * [backup-simplify]: Simplify 1/2 into 1/2
8.730 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.731 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.732 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.732 * [backup-simplify]: Simplify (* 0 0) into 0
8.733 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.735 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
8.737 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
8.739 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.741 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
8.742 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
8.743 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.743 * [backup-simplify]: Simplify (+ 0 0) into 0
8.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
8.745 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.745 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.755 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
8.762 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.763 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.764 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
8.766 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.770 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.771 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
8.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.772 * [backup-simplify]: Simplify (* 1 1) into 1
8.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.774 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.774 * [backup-simplify]: Simplify (+ 1 0) into 1
8.775 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.781 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.788 * [backup-simplify]: Simplify (* 1 1) into 1
8.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.791 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.791 * [backup-simplify]: Simplify (+ 1 0) into 1
8.798 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
8.804 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
8.821 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
8.823 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
8.826 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
8.831 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
8.832 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
8.833 * [backup-simplify]: Simplify (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 (- x)) 3)) (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 (- x)) 2)) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))
8.834 * * * [progress]: simplifying candidates
8.834 * * * * [progress]: [ 1 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (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))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 2 / 129 ] simplifiying candidate #<alt (λ (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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 3 / 129 ] simplifiying candidate #<alt (λ (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))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 4 / 129 ] simplifiying candidate #<alt (λ (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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 5 / 129 ] simplifiying candidate #<alt (λ (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)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 6 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (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))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 7 / 129 ] simplifiying candidate #<alt (λ (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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 8 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 9 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 10 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 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))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 11 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 12 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 13 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 14 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 15 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 16 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.834 * * * * [progress]: [ 17 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 18 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 19 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 20 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 21 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 22 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 23 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 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))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 24 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 25 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 26 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 27 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 28 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 29 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 30 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 31 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 32 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 33 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 34 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 35 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 36 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 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))) (/ 1 (sqrt (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 37 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.835 * * * * [progress]: [ 38 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 39 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ (fma 1 1/2 (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 40 / 129 ] simplifiying candidate #<alt (λ (x) (/ (log1p (expm1 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 41 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 42 / 129 ] simplifiying candidate #<alt (λ (x) (/ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 43 / 129 ] simplifiying candidate #<alt (λ (x) (/ (fma (sqrt 1/2) (sqrt 1/2) (- (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 44 / 129 ] simplifiying candidate #<alt (λ (x) (/ (fma 1 1/2 (- (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 45 / 129 ] simplifiying candidate #<alt (λ (x) (/ (log (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 46 / 129 ] simplifiying candidate #<alt (λ (x) (/ (pow (- 1/2 (/ 1/2 (hypot 1 x))) 1) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 47 / 129 ] simplifiying candidate #<alt (λ (x) (/ (exp (log (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 48 / 129 ] simplifiying candidate #<alt (λ (x) (/ (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 49 / 129 ] simplifiying candidate #<alt (λ (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 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 50 / 129 ] simplifiying candidate #<alt (λ (x) (/ (cbrt (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 51 / 129 ] simplifiying candidate #<alt (λ (x) (/ (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 52 / 129 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 53 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ 1/2 (- (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 54 / 129 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 55 / 129 ] simplifiying candidate #<alt (λ (x) (/ (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 56 / 129 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 57 / 129 ] simplifiying candidate #<alt (λ (x) (/ (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 58 / 129 ] simplifiying candidate #<alt (λ (x) (/ (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 59 / 129 ] simplifiying candidate #<alt (λ (x) (/ (+ 1/2 (- (/ 1/2 (hypot 1 x)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 60 / 129 ] simplifiying candidate #<alt (λ (x) (/ (posit16->real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 61 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (log1p (expm1 (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.836 * * * * [progress]: [ 62 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (expm1 (log1p (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 63 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (pow (/ 1/2 (hypot 1 x)) 1/2) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 64 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (pow (sqrt (/ 1/2 (hypot 1 x))) 1) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 65 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (exp (log (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 66 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (log (exp (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 67 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (* (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 68 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (cbrt (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 69 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 70 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 71 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 72 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))) (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 73 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (sqrt (/ (cbrt 1/2) (hypot 1 x)))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 74 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 75 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 76 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ (sqrt 1/2) 1)) (sqrt (/ (sqrt 1/2) (hypot 1 x)))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 77 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ 1/2 (cbrt (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 78 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ 1 (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (sqrt (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 79 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (/ 1 1)) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 80 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt 1) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 81 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt 1/2) (sqrt (/ 1 (hypot 1 x)))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 82 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 83 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (pow (/ 1/2 (hypot 1 x)) (/ 1 2)) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 84 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.837 * * * * [progress]: [ 85 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (fabs (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
8.838 * * * * [progress]: [ 86 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (fabs (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1/2)))))>
8.838 * * * * [progress]: [ 87 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (* 1 (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
8.838 * * * * [progress]: [ 88 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (posit16->real (real->posit16 (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
8.838 * * * * [progress]: [ 89 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (log1p (expm1 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 90 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (expm1 (log1p (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 91 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.838 * * * * [progress]: [ 92 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma (sqrt 1) (sqrt 1) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.838 * * * * [progress]: [ 93 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (fma 1 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.838 * * * * [progress]: [ 94 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (log (* (exp 1) (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 95 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (pow (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) 1)))>
8.838 * * * * [progress]: [ 96 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (exp (log (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 97 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (log (exp (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 98 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (* (cbrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (cbrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))) (cbrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 99 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (cbrt (* (* (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 100 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* (sqrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (sqrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 101 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (/ (+ (pow 1 3) (pow (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 3)) (+ (* 1 1) (- (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (* 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))))>
8.838 * * * * [progress]: [ 102 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* 1 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
8.838 * * * * [progress]: [ 103 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (/ (- (* 1 1) (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (- 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
8.838 * * * * [progress]: [ 104 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (* 1 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
8.838 * * * * [progress]: [ 105 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (posit16->real (real->posit16 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 106 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)))>
8.838 * * * * [progress]: [ 107 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (log1p (expm1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 108 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (expm1 (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.838 * * * * [progress]: [ 109 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (sqrt (+ (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt 1/2) (sqrt 1/2)))))))>
8.839 * * * * [progress]: [ 110 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (pow (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1))))>
8.839 * * * * [progress]: [ 111 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (exp (log (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.839 * * * * [progress]: [ 112 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (log (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.839 * * * * [progress]: [ 113 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* (* (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.839 * * * * [progress]: [ 114 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (cbrt (* (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.839 * * * * [progress]: [ 115 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.839 * * * * [progress]: [ 116 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (* 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
8.839 * * * * [progress]: [ 117 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (posit16->real (real->posit16 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
8.839 * * * * [progress]: [ 118 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.839 * * * * [progress]: [ 119 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.839 * * * * [progress]: [ 120 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
8.839 * * * * [progress]: [ 121 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) (sqrt 1/2)))))>
8.839 * * * * [progress]: [ 122 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (sqrt 1/2)))))>
8.839 * * * * [progress]: [ 123 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (sqrt 1/2)))))>
8.839 * * * * [progress]: [ 124 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3)))))))>
8.839 * * * * [progress]: [ 125 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))))>
8.839 * * * * [progress]: [ 126 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))))>
8.839 * * * * [progress]: [ 127 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))))))>
8.839 * * * * [progress]: [ 128 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))))>
8.839 * * * * [progress]: [ 129 / 129 ] simplifiying candidate #<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))))>
8.841 * [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 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))), (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 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))) (/ 1 (sqrt (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))), (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))), (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))), (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)), (fma (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 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 (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))), (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1))), (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))), (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))), (fma (sqrt 1/2) (sqrt 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))) (/ 1 (sqrt (hypot 1 x))))), (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))), (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1))), (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))), (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)), (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))), (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)), (fma 1 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 1 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 1 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 1 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 1 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 1 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 1 1/2 (- (* (/ (sqrt 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(fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1)), (fma 1 1/2 (- (* (/ 1 (hypot 1 x)) 1/2))), (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2)), (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) (exp (/ 1/2 (hypot 1 x)))), (log (- 1/2 (/ 1/2 (hypot 1 x)))), (exp (- 1/2 (/ 1/2 (hypot 1 x)))), (* (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))) (cbrt (- 1/2 (/ 1/2 (hypot 1 x))))), (cbrt (- 1/2 (/ 1/2 (hypot 1 x)))), (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x)))), (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))), (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))), (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)), (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x))))), (- (/ 1/2 (hypot 1 x))), (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))), (+ 1/2 (/ 1/2 (hypot 1 x))), (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))), (- 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1 x))) (sqrt 1/2)))), (expm1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (+ (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt 1/2) (sqrt 1/2))), (log (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (real->posit16 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (- (+ (* 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)))), (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))), (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))), (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))), (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))), (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))), (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))), (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))), (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))), (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))
8.844 * * [simplify]: iteration 1: (277 enodes)
9.051 * * [simplify]: iteration 2: (1163 enodes)
9.441 * * [simplify]: Extracting #0: cost 106 inf + 0
9.442 * * [simplify]: Extracting #1: cost 415 inf + 43
9.445 * * [simplify]: Extracting #2: cost 779 inf + 1105
9.449 * * [simplify]: Extracting #3: cost 759 inf + 15085
9.465 * * [simplify]: Extracting #4: cost 349 inf + 102345
9.501 * * [simplify]: Extracting #5: cost 59 inf + 180782
9.538 * * [simplify]: Extracting #6: cost 2 inf + 199241
9.590 * * [simplify]: Extracting #7: cost 0 inf + 199947
9.656 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- (* (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))) (/ (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) (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)))), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (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))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))), (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))), (* (/ 1/2 (cbrt (hypot 1 x))) (+ (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) 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(- 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))) (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))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))), (- 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))), (* (/ 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 (/ (/ 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)))), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (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)))), (log1p (sqrt (/ 1/2 (hypot 1 x)))), (log (sqrt (/ 1/2 (hypot 1 x)))), (exp (sqrt (/ 1/2 (hypot 1 x)))), (* (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))), (cbrt (sqrt (/ 1/2 (hypot 1 x)))), (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))), (fabs (cbrt (/ 1/2 (hypot 1 x)))), (sqrt (cbrt (/ 1/2 (hypot 1 x)))), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (fabs (/ (cbrt 1/2) (cbrt (hypot 1 x)))), (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x)))), (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))), (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x)))), (fabs (cbrt 1/2)), (sqrt (/ (cbrt 1/2) (hypot 1 x))), (sqrt (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))), (sqrt (sqrt 1/2)), (sqrt (/ (sqrt 1/2) (hypot 1 x))), (sqrt (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))), (sqrt (/ 1/2 (cbrt (hypot 1 x)))), (sqrt (/ 1 (sqrt (hypot 1 x)))), (sqrt (/ 1/2 (sqrt (hypot 1 x)))), 1, (sqrt (/ 1/2 (hypot 1 x))), 1, (sqrt (/ 1/2 (hypot 1 x))), (sqrt 1/2), (sqrt (/ 1 (hypot 1 x))), (sqrt 1/2), (sqrt (hypot 1 x)), 1/2, (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (real->posit16 (sqrt (/ 1/2 (hypot 1 x)))), (expm1 (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (log1p (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (exp (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (exp (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (* (cbrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)) (cbrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1))), (cbrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (* (* (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (sqrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (sqrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (fma (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) 1), (fma (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1) 1), (- 1 (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (- 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1), (real->posit16 (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (expm1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (+ (/ 1/2 (hypot 1 x)) 1/2), (log (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (real->posit16 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (fma 1/4 (* x x) (fma (* (* x (* x x)) (* x (* x x))) 5/32 (* (* (* x x) (* x x)) -3/16))), (+ (/ 1/4 (* x (* x x))) (- 1/2 (/ 1/2 x))), (+ (/ -1/4 (* x (* x x))) (+ 1/2 (/ 1/2 x))), (+ (* (* (* x x) (sqrt 1/2)) -1/4) (fma (* (* (* x x) (* x x)) (sqrt 1/2)) 5/32 (sqrt 1/2))), (- (fma +nan.0 (/ (sqrt 1/2) x) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x))))), (- (fma +nan.0 (/ (sqrt 1/2) x) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x))))), (- (fma (sqrt 2) (sqrt 1/2) (fma (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2)) 3/16 1)) (fma (/ (sqrt 1/2) (/ (sqrt 2) (* x x))) 1/4 (* 1/64 (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2))))), (+ (* +nan.0 (- (/ (/ (sqrt 1/2) (* x x)) x) (/ (sqrt 1/2) (* x x)))) (+ (sqrt 1/2) 1)), (+ (* +nan.0 (- (/ (/ (sqrt 1/2) (* x x)) x) (/ (sqrt 1/2) (* x x)))) (+ (sqrt 1/2) 1)), (- (fma 3/16 (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2)) (* (sqrt 1/2) (sqrt 2))) (fma (/ (sqrt 1/2) (/ (sqrt 2) (* x x))) 1/4 (* 1/64 (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2))))), (+ (sqrt 1/2) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x)))), (+ (sqrt 1/2) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x))))
9.682 * * * [progress]: adding candidates to table
11.355 * * [progress]: iteration 4 / 4
11.355 * * * [progress]: picking best candidate
11.375 * * * * [pick]: Picked  #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
11.375 * * * [progress]: localizing error
11.420 * * * [progress]: generating rewritten candidates
11.420 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
11.426 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
11.434 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
11.442 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
11.446 * * * [progress]: generating series expansions
11.446 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
11.446 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 x))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 x))))
11.446 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0
11.446 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x
11.446 * [taylor]: Taking taylor expansion of 1/2 in x
11.446 * [backup-simplify]: Simplify 1/2 into 1/2
11.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
11.446 * [taylor]: Taking taylor expansion of 1/2 in x
11.446 * [backup-simplify]: Simplify 1/2 into 1/2
11.446 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.446 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.446 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.446 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.446 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.446 * [taylor]: Taking taylor expansion of 1 in x
11.446 * [backup-simplify]: Simplify 1 into 1
11.446 * [taylor]: Taking taylor expansion of 1 in x
11.446 * [backup-simplify]: Simplify 1 into 1
11.446 * [taylor]: Taking taylor expansion of (* x x) in x
11.446 * [taylor]: Taking taylor expansion of x in x
11.446 * [backup-simplify]: Simplify 0 into 0
11.446 * [backup-simplify]: Simplify 1 into 1
11.446 * [taylor]: Taking taylor expansion of x in x
11.446 * [backup-simplify]: Simplify 0 into 0
11.446 * [backup-simplify]: Simplify 1 into 1
11.447 * [backup-simplify]: Simplify (* 1 1) into 1
11.447 * [backup-simplify]: Simplify (* 0 0) into 0
11.448 * [backup-simplify]: Simplify (+ 1 0) into 1
11.448 * [backup-simplify]: Simplify (sqrt 1) into 1
11.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.449 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.450 * [backup-simplify]: Simplify (+ 0 0) into 0
11.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.451 * [backup-simplify]: Simplify (/ 1 1) into 1
11.451 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x
11.451 * [taylor]: Taking taylor expansion of 1/2 in x
11.451 * [backup-simplify]: Simplify 1/2 into 1/2
11.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x
11.451 * [taylor]: Taking taylor expansion of 1/2 in x
11.451 * [backup-simplify]: Simplify 1/2 into 1/2
11.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.451 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.451 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.451 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.451 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.451 * [taylor]: Taking taylor expansion of 1 in x
11.451 * [backup-simplify]: Simplify 1 into 1
11.451 * [taylor]: Taking taylor expansion of 1 in x
11.451 * [backup-simplify]: Simplify 1 into 1
11.451 * [taylor]: Taking taylor expansion of (* x x) in x
11.451 * [taylor]: Taking taylor expansion of x in x
11.451 * [backup-simplify]: Simplify 0 into 0
11.451 * [backup-simplify]: Simplify 1 into 1
11.451 * [taylor]: Taking taylor expansion of x in x
11.451 * [backup-simplify]: Simplify 0 into 0
11.451 * [backup-simplify]: Simplify 1 into 1
11.452 * [backup-simplify]: Simplify (* 1 1) into 1
11.452 * [backup-simplify]: Simplify (* 0 0) into 0
11.452 * [backup-simplify]: Simplify (+ 1 0) into 1
11.453 * [backup-simplify]: Simplify (sqrt 1) into 1
11.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.454 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.454 * [backup-simplify]: Simplify (+ 0 0) into 0
11.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.455 * [backup-simplify]: Simplify (/ 1 1) into 1
11.455 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.456 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.456 * [backup-simplify]: Simplify (+ 1/2 -1/2) into 0
11.456 * [backup-simplify]: Simplify 0 into 0
11.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.457 * [backup-simplify]: Simplify (- 0) into 0
11.457 * [backup-simplify]: Simplify (+ 0 0) into 0
11.457 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.459 * [backup-simplify]: Simplify (+ 0 1) into 1
11.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.460 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
11.461 * [backup-simplify]: Simplify (- -1/4) into 1/4
11.461 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
11.461 * [backup-simplify]: Simplify 1/4 into 1/4
11.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.463 * [backup-simplify]: Simplify (+ 0 0) into 0
11.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
11.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
11.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0
11.465 * [backup-simplify]: Simplify (- 0) into 0
11.465 * [backup-simplify]: Simplify (+ 0 0) into 0
11.465 * [backup-simplify]: Simplify 0 into 0
11.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.467 * [backup-simplify]: Simplify (+ 0 0) into 0
11.468 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
11.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
11.470 * [backup-simplify]: Simplify (+ (* 1/2 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into 3/16
11.470 * [backup-simplify]: Simplify (- 3/16) into -3/16
11.470 * [backup-simplify]: Simplify (+ 0 -3/16) into -3/16
11.470 * [backup-simplify]: Simplify -3/16 into -3/16
11.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
11.472 * [backup-simplify]: Simplify (+ 0 0) into 0
11.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* 1/2 0)))) (* 2 1)) into 0
11.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/8 1)) (* -1/2 (/ 0 1)) (* 0 (/ 1/2 1)) (* 3/8 (/ 0 1)))) into 0
11.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))))) into 0
11.476 * [backup-simplify]: Simplify (- 0) into 0
11.476 * [backup-simplify]: Simplify (+ 0 0) into 0
11.476 * [backup-simplify]: Simplify 0 into 0
11.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
11.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
11.478 * [backup-simplify]: Simplify (+ 0 0) into 0
11.479 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16
11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/16 1)) (* 0 (/ 0 1)) (* -1/2 (/ -1/8 1)) (* 0 (/ 0 1)) (* 3/8 (/ 1/2 1)) (* 0 (/ 0 1)))) into -5/16
11.483 * [backup-simplify]: Simplify (+ (* 1/2 -5/16) (+ (* 0 0) (+ (* 0 3/8) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))))) into -5/32
11.483 * [backup-simplify]: Simplify (- -5/32) into 5/32
11.484 * [backup-simplify]: Simplify (+ 0 5/32) into 5/32
11.484 * [backup-simplify]: Simplify 5/32 into 5/32
11.484 * [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)))
11.485 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 x)))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x)))))
11.485 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0
11.485 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
11.485 * [taylor]: Taking taylor expansion of 1/2 in x
11.485 * [backup-simplify]: Simplify 1/2 into 1/2
11.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
11.485 * [taylor]: Taking taylor expansion of 1/2 in x
11.485 * [backup-simplify]: Simplify 1/2 into 1/2
11.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.485 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.485 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.485 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.485 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.485 * [taylor]: Taking taylor expansion of 1 in x
11.485 * [backup-simplify]: Simplify 1 into 1
11.485 * [taylor]: Taking taylor expansion of 1 in x
11.485 * [backup-simplify]: Simplify 1 into 1
11.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.486 * [taylor]: Taking taylor expansion of x in x
11.486 * [backup-simplify]: Simplify 0 into 0
11.486 * [backup-simplify]: Simplify 1 into 1
11.486 * [backup-simplify]: Simplify (/ 1 1) into 1
11.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.486 * [taylor]: Taking taylor expansion of x in x
11.486 * [backup-simplify]: Simplify 0 into 0
11.486 * [backup-simplify]: Simplify 1 into 1
11.487 * [backup-simplify]: Simplify (/ 1 1) into 1
11.487 * [backup-simplify]: Simplify (* 1 1) into 1
11.488 * [backup-simplify]: Simplify (+ 0 1) into 1
11.488 * [backup-simplify]: Simplify (sqrt 1) into 1
11.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.491 * [backup-simplify]: Simplify (+ 0 0) into 0
11.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.493 * [backup-simplify]: Simplify (/ 1 1) into 1
11.493 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x
11.493 * [taylor]: Taking taylor expansion of 1/2 in x
11.493 * [backup-simplify]: Simplify 1/2 into 1/2
11.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x
11.493 * [taylor]: Taking taylor expansion of 1/2 in x
11.493 * [backup-simplify]: Simplify 1/2 into 1/2
11.493 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.493 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.493 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.493 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.493 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.493 * [taylor]: Taking taylor expansion of 1 in x
11.493 * [backup-simplify]: Simplify 1 into 1
11.493 * [taylor]: Taking taylor expansion of 1 in x
11.493 * [backup-simplify]: Simplify 1 into 1
11.493 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.493 * [taylor]: Taking taylor expansion of x in x
11.493 * [backup-simplify]: Simplify 0 into 0
11.493 * [backup-simplify]: Simplify 1 into 1
11.494 * [backup-simplify]: Simplify (/ 1 1) into 1
11.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.494 * [taylor]: Taking taylor expansion of x in x
11.494 * [backup-simplify]: Simplify 0 into 0
11.494 * [backup-simplify]: Simplify 1 into 1
11.494 * [backup-simplify]: Simplify (/ 1 1) into 1
11.495 * [backup-simplify]: Simplify (* 1 1) into 1
11.495 * [backup-simplify]: Simplify (+ 0 1) into 1
11.496 * [backup-simplify]: Simplify (sqrt 1) into 1
11.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.499 * [backup-simplify]: Simplify (+ 0 0) into 0
11.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.500 * [backup-simplify]: Simplify (/ 1 1) into 1
11.500 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.500 * [backup-simplify]: Simplify 1/2 into 1/2
11.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.501 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.502 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.502 * [backup-simplify]: Simplify -1/2 into -1/2
11.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.503 * [backup-simplify]: Simplify (- 0) into 0
11.503 * [backup-simplify]: Simplify (+ 0 0) into 0
11.503 * [backup-simplify]: Simplify 0 into 0
11.503 * [backup-simplify]: Simplify (* 1 1) into 1
11.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.505 * [backup-simplify]: Simplify (+ 1 0) into 1
11.506 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.507 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
11.507 * [backup-simplify]: Simplify (- -1/4) into 1/4
11.508 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
11.508 * [backup-simplify]: Simplify 1/4 into 1/4
11.508 * [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)))
11.508 * [backup-simplify]: Simplify (- 1/2 (/ 1/2 (hypot 1 (/ 1 (- x))))) into (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x)))))
11.508 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0
11.508 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
11.508 * [taylor]: Taking taylor expansion of 1/2 in x
11.508 * [backup-simplify]: Simplify 1/2 into 1/2
11.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
11.508 * [taylor]: Taking taylor expansion of 1/2 in x
11.508 * [backup-simplify]: Simplify 1/2 into 1/2
11.508 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
11.508 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
11.508 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
11.508 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
11.508 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.508 * [taylor]: Taking taylor expansion of 1 in x
11.508 * [backup-simplify]: Simplify 1 into 1
11.508 * [taylor]: Taking taylor expansion of 1 in x
11.508 * [backup-simplify]: Simplify 1 into 1
11.508 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
11.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.508 * [taylor]: Taking taylor expansion of -1 in x
11.508 * [backup-simplify]: Simplify -1 into -1
11.508 * [taylor]: Taking taylor expansion of x in x
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 1 into 1
11.509 * [backup-simplify]: Simplify (/ -1 1) into -1
11.509 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.509 * [taylor]: Taking taylor expansion of -1 in x
11.509 * [backup-simplify]: Simplify -1 into -1
11.509 * [taylor]: Taking taylor expansion of x in x
11.509 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify 1 into 1
11.509 * [backup-simplify]: Simplify (/ -1 1) into -1
11.509 * [backup-simplify]: Simplify (* -1 -1) into 1
11.509 * [backup-simplify]: Simplify (+ 0 1) into 1
11.510 * [backup-simplify]: Simplify (sqrt 1) into 1
11.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.511 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.511 * [backup-simplify]: Simplify (+ 0 0) into 0
11.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.512 * [backup-simplify]: Simplify (/ 1 1) into 1
11.512 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x
11.512 * [taylor]: Taking taylor expansion of 1/2 in x
11.512 * [backup-simplify]: Simplify 1/2 into 1/2
11.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x
11.512 * [taylor]: Taking taylor expansion of 1/2 in x
11.512 * [backup-simplify]: Simplify 1/2 into 1/2
11.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
11.512 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
11.512 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
11.512 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
11.512 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.512 * [taylor]: Taking taylor expansion of 1 in x
11.512 * [backup-simplify]: Simplify 1 into 1
11.512 * [taylor]: Taking taylor expansion of 1 in x
11.512 * [backup-simplify]: Simplify 1 into 1
11.512 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
11.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.512 * [taylor]: Taking taylor expansion of -1 in x
11.512 * [backup-simplify]: Simplify -1 into -1
11.512 * [taylor]: Taking taylor expansion of x in x
11.512 * [backup-simplify]: Simplify 0 into 0
11.512 * [backup-simplify]: Simplify 1 into 1
11.513 * [backup-simplify]: Simplify (/ -1 1) into -1
11.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.513 * [taylor]: Taking taylor expansion of -1 in x
11.513 * [backup-simplify]: Simplify -1 into -1
11.513 * [taylor]: Taking taylor expansion of x in x
11.513 * [backup-simplify]: Simplify 0 into 0
11.513 * [backup-simplify]: Simplify 1 into 1
11.513 * [backup-simplify]: Simplify (/ -1 1) into -1
11.513 * [backup-simplify]: Simplify (* -1 -1) into 1
11.514 * [backup-simplify]: Simplify (+ 0 1) into 1
11.514 * [backup-simplify]: Simplify (sqrt 1) into 1
11.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.515 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.516 * [backup-simplify]: Simplify (+ 0 0) into 0
11.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.516 * [backup-simplify]: Simplify (/ 1 1) into 1
11.517 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.517 * [backup-simplify]: Simplify 1/2 into 1/2
11.517 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.517 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.517 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.517 * [backup-simplify]: Simplify -1/2 into -1/2
11.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.519 * [backup-simplify]: Simplify (- 0) into 0
11.519 * [backup-simplify]: Simplify (+ 0 0) into 0
11.519 * [backup-simplify]: Simplify 0 into 0
11.519 * [backup-simplify]: Simplify (* 1 1) into 1
11.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.521 * [backup-simplify]: Simplify (+ 1 0) into 1
11.522 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.523 * [backup-simplify]: Simplify (+ (* 1/2 -1/2) (+ (* 0 0) (* 0 1))) into -1/4
11.524 * [backup-simplify]: Simplify (- -1/4) into 1/4
11.524 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
11.524 * [backup-simplify]: Simplify 1/4 into 1/4
11.524 * [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))))
11.524 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
11.524 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 x))) into (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))
11.524 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in (x) around 0
11.524 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
11.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
11.524 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.524 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.524 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.525 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.525 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.525 * [taylor]: Taking taylor expansion of 1 in x
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [taylor]: Taking taylor expansion of 1 in x
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [taylor]: Taking taylor expansion of (* x x) in x
11.525 * [taylor]: Taking taylor expansion of x in x
11.525 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [taylor]: Taking taylor expansion of x in x
11.525 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [backup-simplify]: Simplify (* 1 1) into 1
11.525 * [backup-simplify]: Simplify (* 0 0) into 0
11.525 * [backup-simplify]: Simplify (+ 1 0) into 1
11.526 * [backup-simplify]: Simplify (sqrt 1) into 1
11.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.527 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.527 * [backup-simplify]: Simplify (+ 0 0) into 0
11.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.527 * [backup-simplify]: Simplify (/ 1 1) into 1
11.528 * [backup-simplify]: Simplify (sqrt 1) into 1
11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.529 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.529 * [taylor]: Taking taylor expansion of 1/2 in x
11.529 * [backup-simplify]: Simplify 1/2 into 1/2
11.529 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.529 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
11.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
11.529 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.529 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.529 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.529 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.529 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.529 * [taylor]: Taking taylor expansion of 1 in x
11.529 * [backup-simplify]: Simplify 1 into 1
11.529 * [taylor]: Taking taylor expansion of 1 in x
11.529 * [backup-simplify]: Simplify 1 into 1
11.529 * [taylor]: Taking taylor expansion of (* x x) in x
11.529 * [taylor]: Taking taylor expansion of x in x
11.530 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify 1 into 1
11.530 * [taylor]: Taking taylor expansion of x in x
11.530 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify 1 into 1
11.530 * [backup-simplify]: Simplify (* 1 1) into 1
11.530 * [backup-simplify]: Simplify (* 0 0) into 0
11.530 * [backup-simplify]: Simplify (+ 1 0) into 1
11.531 * [backup-simplify]: Simplify (sqrt 1) into 1
11.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.532 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.532 * [backup-simplify]: Simplify (+ 0 0) into 0
11.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.533 * [backup-simplify]: Simplify (/ 1 1) into 1
11.533 * [backup-simplify]: Simplify (sqrt 1) into 1
11.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.534 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.534 * [taylor]: Taking taylor expansion of 1/2 in x
11.534 * [backup-simplify]: Simplify 1/2 into 1/2
11.535 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.543 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
11.544 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
11.545 * [backup-simplify]: Simplify 0 into 0
11.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.548 * [backup-simplify]: Simplify (+ 0 1) into 1
11.549 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.552 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
11.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
11.557 * [backup-simplify]: Simplify (- (* 1/4 (sqrt 1/2))) into (- (* 1/4 (sqrt 1/2)))
11.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.561 * [backup-simplify]: Simplify (+ 0 0) into 0
11.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
11.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
11.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
11.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
11.564 * [backup-simplify]: Simplify 0 into 0
11.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.567 * [backup-simplify]: Simplify (+ 0 0) into 0
11.568 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
11.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
11.570 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
11.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
11.575 * [backup-simplify]: Simplify (* 5/32 (sqrt 1/2)) into (* 5/32 (sqrt 1/2))
11.577 * [backup-simplify]: Simplify (+ (* (* 5/32 (sqrt 1/2)) (pow x 4)) (+ (* (- (* 1/4 (sqrt 1/2))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2))))
11.577 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) into (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))
11.577 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in (x) around 0
11.577 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
11.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
11.577 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.577 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.577 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.577 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.577 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.577 * [taylor]: Taking taylor expansion of 1 in x
11.577 * [backup-simplify]: Simplify 1 into 1
11.577 * [taylor]: Taking taylor expansion of 1 in x
11.577 * [backup-simplify]: Simplify 1 into 1
11.577 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.577 * [taylor]: Taking taylor expansion of x in x
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 1 into 1
11.577 * [backup-simplify]: Simplify (/ 1 1) into 1
11.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.577 * [taylor]: Taking taylor expansion of x in x
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 1 into 1
11.578 * [backup-simplify]: Simplify (/ 1 1) into 1
11.578 * [backup-simplify]: Simplify (* 1 1) into 1
11.578 * [backup-simplify]: Simplify (+ 0 1) into 1
11.578 * [backup-simplify]: Simplify (sqrt 1) into 1
11.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.580 * [backup-simplify]: Simplify (+ 0 0) into 0
11.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.581 * [backup-simplify]: Simplify (/ 1 1) into 1
11.581 * [backup-simplify]: Simplify (sqrt 0) into 0
11.582 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.582 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.582 * [taylor]: Taking taylor expansion of 1/2 in x
11.582 * [backup-simplify]: Simplify 1/2 into 1/2
11.582 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.583 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
11.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
11.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.583 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.583 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.583 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.583 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.583 * [taylor]: Taking taylor expansion of 1 in x
11.583 * [backup-simplify]: Simplify 1 into 1
11.583 * [taylor]: Taking taylor expansion of 1 in x
11.583 * [backup-simplify]: Simplify 1 into 1
11.583 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.584 * [taylor]: Taking taylor expansion of x in x
11.584 * [backup-simplify]: Simplify 0 into 0
11.584 * [backup-simplify]: Simplify 1 into 1
11.584 * [backup-simplify]: Simplify (/ 1 1) into 1
11.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.584 * [taylor]: Taking taylor expansion of x in x
11.584 * [backup-simplify]: Simplify 0 into 0
11.584 * [backup-simplify]: Simplify 1 into 1
11.585 * [backup-simplify]: Simplify (/ 1 1) into 1
11.585 * [backup-simplify]: Simplify (* 1 1) into 1
11.585 * [backup-simplify]: Simplify (+ 0 1) into 1
11.586 * [backup-simplify]: Simplify (sqrt 1) into 1
11.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.588 * [backup-simplify]: Simplify (+ 0 0) into 0
11.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.589 * [backup-simplify]: Simplify (/ 1 1) into 1
11.590 * [backup-simplify]: Simplify (sqrt 0) into 0
11.591 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.591 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.591 * [taylor]: Taking taylor expansion of 1/2 in x
11.591 * [backup-simplify]: Simplify 1/2 into 1/2
11.592 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.593 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.593 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.597 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.602 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.607 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.608 * [backup-simplify]: Simplify (* 1 1) into 1
11.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.612 * [backup-simplify]: Simplify (+ 1 0) into 1
11.613 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.618 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
11.625 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.628 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 x)))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))))
11.628 * [backup-simplify]: Simplify (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) into (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))
11.628 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in (x) around 0
11.628 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
11.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
11.628 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
11.628 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
11.628 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
11.628 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
11.628 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.628 * [taylor]: Taking taylor expansion of 1 in x
11.628 * [backup-simplify]: Simplify 1 into 1
11.628 * [taylor]: Taking taylor expansion of 1 in x
11.629 * [backup-simplify]: Simplify 1 into 1
11.629 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
11.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.629 * [taylor]: Taking taylor expansion of -1 in x
11.629 * [backup-simplify]: Simplify -1 into -1
11.629 * [taylor]: Taking taylor expansion of x in x
11.629 * [backup-simplify]: Simplify 0 into 0
11.629 * [backup-simplify]: Simplify 1 into 1
11.629 * [backup-simplify]: Simplify (/ -1 1) into -1
11.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.629 * [taylor]: Taking taylor expansion of -1 in x
11.629 * [backup-simplify]: Simplify -1 into -1
11.629 * [taylor]: Taking taylor expansion of x in x
11.629 * [backup-simplify]: Simplify 0 into 0
11.629 * [backup-simplify]: Simplify 1 into 1
11.629 * [backup-simplify]: Simplify (/ -1 1) into -1
11.629 * [backup-simplify]: Simplify (* -1 -1) into 1
11.630 * [backup-simplify]: Simplify (+ 0 1) into 1
11.630 * [backup-simplify]: Simplify (sqrt 1) into 1
11.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.631 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.632 * [backup-simplify]: Simplify (+ 0 0) into 0
11.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.632 * [backup-simplify]: Simplify (/ 1 1) into 1
11.633 * [backup-simplify]: Simplify (sqrt 0) into 0
11.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.633 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.633 * [taylor]: Taking taylor expansion of 1/2 in x
11.633 * [backup-simplify]: Simplify 1/2 into 1/2
11.634 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
11.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
11.634 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
11.634 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
11.634 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
11.634 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
11.634 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.634 * [taylor]: Taking taylor expansion of 1 in x
11.634 * [backup-simplify]: Simplify 1 into 1
11.634 * [taylor]: Taking taylor expansion of 1 in x
11.634 * [backup-simplify]: Simplify 1 into 1
11.634 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
11.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.634 * [taylor]: Taking taylor expansion of -1 in x
11.634 * [backup-simplify]: Simplify -1 into -1
11.635 * [taylor]: Taking taylor expansion of x in x
11.635 * [backup-simplify]: Simplify 0 into 0
11.635 * [backup-simplify]: Simplify 1 into 1
11.635 * [backup-simplify]: Simplify (/ -1 1) into -1
11.635 * [taylor]: Taking taylor expansion of (/ -1 x) in x
11.635 * [taylor]: Taking taylor expansion of -1 in x
11.635 * [backup-simplify]: Simplify -1 into -1
11.635 * [taylor]: Taking taylor expansion of x in x
11.635 * [backup-simplify]: Simplify 0 into 0
11.635 * [backup-simplify]: Simplify 1 into 1
11.635 * [backup-simplify]: Simplify (/ -1 1) into -1
11.635 * [backup-simplify]: Simplify (* -1 -1) into 1
11.636 * [backup-simplify]: Simplify (+ 0 1) into 1
11.636 * [backup-simplify]: Simplify (sqrt 1) into 1
11.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.637 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.638 * [backup-simplify]: Simplify (+ 0 0) into 0
11.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.639 * [backup-simplify]: Simplify (/ 1 1) into 1
11.639 * [backup-simplify]: Simplify (sqrt 0) into 0
11.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.640 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.640 * [taylor]: Taking taylor expansion of 1/2 in x
11.640 * [backup-simplify]: Simplify 1/2 into 1/2
11.640 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.641 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.641 * [backup-simplify]: Simplify 0 into 0
11.642 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.643 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.646 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.649 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.650 * [backup-simplify]: Simplify (* 1 1) into 1
11.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.658 * [backup-simplify]: Simplify (+ 1 0) into 1
11.659 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.664 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
11.671 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.677 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (* (- (* +nan.0 (sqrt 1/2))) (/ 1 (- x))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))))
11.677 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
11.677 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1)
11.678 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0
11.678 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
11.678 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
11.678 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
11.678 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
11.678 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
11.678 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
11.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
11.678 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.678 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.678 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.678 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.678 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.678 * [taylor]: Taking taylor expansion of 1 in x
11.678 * [backup-simplify]: Simplify 1 into 1
11.678 * [taylor]: Taking taylor expansion of 1 in x
11.678 * [backup-simplify]: Simplify 1 into 1
11.678 * [taylor]: Taking taylor expansion of (* x x) in x
11.678 * [taylor]: Taking taylor expansion of x in x
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.678 * [taylor]: Taking taylor expansion of x in x
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.679 * [backup-simplify]: Simplify (* 1 1) into 1
11.679 * [backup-simplify]: Simplify (* 0 0) into 0
11.680 * [backup-simplify]: Simplify (+ 1 0) into 1
11.680 * [backup-simplify]: Simplify (sqrt 1) into 1
11.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.681 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.682 * [backup-simplify]: Simplify (+ 0 0) into 0
11.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.683 * [backup-simplify]: Simplify (/ 1 1) into 1
11.683 * [backup-simplify]: Simplify (sqrt 1) into 1
11.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.685 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.685 * [taylor]: Taking taylor expansion of 1/2 in x
11.685 * [backup-simplify]: Simplify 1/2 into 1/2
11.685 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.686 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
11.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
11.686 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.686 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.686 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.686 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.686 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.687 * [taylor]: Taking taylor expansion of 1 in x
11.687 * [backup-simplify]: Simplify 1 into 1
11.687 * [taylor]: Taking taylor expansion of 1 in x
11.687 * [backup-simplify]: Simplify 1 into 1
11.687 * [taylor]: Taking taylor expansion of (* x x) in x
11.687 * [taylor]: Taking taylor expansion of x in x
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify 1 into 1
11.687 * [taylor]: Taking taylor expansion of x in x
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify 1 into 1
11.687 * [backup-simplify]: Simplify (* 1 1) into 1
11.688 * [backup-simplify]: Simplify (* 0 0) into 0
11.688 * [backup-simplify]: Simplify (+ 1 0) into 1
11.689 * [backup-simplify]: Simplify (sqrt 1) into 1
11.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.690 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.690 * [backup-simplify]: Simplify (+ 0 0) into 0
11.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.692 * [backup-simplify]: Simplify (/ 1 1) into 1
11.692 * [backup-simplify]: Simplify (sqrt 1) into 1
11.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.694 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.694 * [taylor]: Taking taylor expansion of 1/2 in x
11.694 * [backup-simplify]: Simplify 1/2 into 1/2
11.694 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.695 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
11.695 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.695 * [taylor]: Taking taylor expansion of 1/2 in x
11.695 * [backup-simplify]: Simplify 1/2 into 1/2
11.695 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.696 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.696 * [taylor]: Taking taylor expansion of 1/2 in x
11.696 * [backup-simplify]: Simplify 1/2 into 1/2
11.697 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.698 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
11.699 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
11.701 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.702 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.704 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
11.707 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
11.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
11.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
11.709 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.710 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.711 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
11.712 * [taylor]: Taking taylor expansion of 1 in x
11.712 * [backup-simplify]: Simplify 1 into 1
11.712 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
11.712 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
11.712 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
11.712 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
11.712 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
11.712 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
11.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
11.712 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.712 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.712 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.712 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.712 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.712 * [taylor]: Taking taylor expansion of 1 in x
11.712 * [backup-simplify]: Simplify 1 into 1
11.712 * [taylor]: Taking taylor expansion of 1 in x
11.712 * [backup-simplify]: Simplify 1 into 1
11.713 * [taylor]: Taking taylor expansion of (* x x) in x
11.713 * [taylor]: Taking taylor expansion of x in x
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.713 * [taylor]: Taking taylor expansion of x in x
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.713 * [backup-simplify]: Simplify (* 1 1) into 1
11.714 * [backup-simplify]: Simplify (* 0 0) into 0
11.714 * [backup-simplify]: Simplify (+ 1 0) into 1
11.714 * [backup-simplify]: Simplify (sqrt 1) into 1
11.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.715 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.715 * [backup-simplify]: Simplify (+ 0 0) into 0
11.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.716 * [backup-simplify]: Simplify (/ 1 1) into 1
11.716 * [backup-simplify]: Simplify (sqrt 1) into 1
11.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.717 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.717 * [taylor]: Taking taylor expansion of 1/2 in x
11.717 * [backup-simplify]: Simplify 1/2 into 1/2
11.717 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.718 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
11.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
11.718 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
11.718 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
11.718 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
11.718 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
11.718 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.718 * [taylor]: Taking taylor expansion of 1 in x
11.718 * [backup-simplify]: Simplify 1 into 1
11.718 * [taylor]: Taking taylor expansion of 1 in x
11.718 * [backup-simplify]: Simplify 1 into 1
11.718 * [taylor]: Taking taylor expansion of (* x x) in x
11.718 * [taylor]: Taking taylor expansion of x in x
11.718 * [backup-simplify]: Simplify 0 into 0
11.718 * [backup-simplify]: Simplify 1 into 1
11.718 * [taylor]: Taking taylor expansion of x in x
11.718 * [backup-simplify]: Simplify 0 into 0
11.718 * [backup-simplify]: Simplify 1 into 1
11.718 * [backup-simplify]: Simplify (* 1 1) into 1
11.718 * [backup-simplify]: Simplify (* 0 0) into 0
11.719 * [backup-simplify]: Simplify (+ 1 0) into 1
11.719 * [backup-simplify]: Simplify (sqrt 1) into 1
11.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.720 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.720 * [backup-simplify]: Simplify (+ 0 0) into 0
11.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.720 * [backup-simplify]: Simplify (/ 1 1) into 1
11.721 * [backup-simplify]: Simplify (sqrt 1) into 1
11.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.722 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.722 * [taylor]: Taking taylor expansion of 1/2 in x
11.722 * [backup-simplify]: Simplify 1/2 into 1/2
11.722 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.722 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
11.722 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.722 * [taylor]: Taking taylor expansion of 1/2 in x
11.722 * [backup-simplify]: Simplify 1/2 into 1/2
11.723 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.723 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.723 * [taylor]: Taking taylor expansion of 1/2 in x
11.723 * [backup-simplify]: Simplify 1/2 into 1/2
11.723 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.724 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
11.725 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
11.726 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.727 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.728 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
11.729 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
11.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
11.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
11.731 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.731 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.731 * [backup-simplify]: Simplify (+ 0 0) into 0
11.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
11.732 * [taylor]: Taking taylor expansion of 1 in x
11.732 * [backup-simplify]: Simplify 1 into 1
11.733 * [backup-simplify]: Simplify (+ (* (sqrt 2) (sqrt 1/2)) 1) into (+ (* (sqrt 2) (sqrt 1/2)) 1)
11.736 * [backup-simplify]: Simplify (+ (* (sqrt 2) (sqrt 1/2)) 1) into (+ (* (sqrt 2) (sqrt 1/2)) 1)
11.736 * [backup-simplify]: Simplify (+ 0 0) into 0
11.736 * [backup-simplify]: Simplify 0 into 0
11.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.739 * [backup-simplify]: Simplify (+ 0 1) into 1
11.740 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.743 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
11.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
11.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.750 * [backup-simplify]: Simplify (+ 0 1) into 1
11.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
11.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
11.753 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
11.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
11.765 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (- (* 1/4 (sqrt 1/2))) (sqrt 1/2)))) into (- (* 1/2 (pow (sqrt 1/2) 2)))
11.767 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.769 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
11.772 * [backup-simplify]: Simplify (+ (- (* 1/2 (pow (sqrt 1/2) 2))) 0) into (- (* 1/2 (pow (sqrt 1/2) 2)))
11.783 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2)))
11.792 * [backup-simplify]: Simplify (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 0) into (- (* 1/4 (/ (sqrt 1/2) (sqrt 2))))
11.795 * [backup-simplify]: Simplify (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) into (- (* 1/4 (/ (sqrt 1/2) (sqrt 2))))
11.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.799 * [backup-simplify]: Simplify (+ 0 0) into 0
11.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
11.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
11.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
11.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
11.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
11.807 * [backup-simplify]: Simplify (+ 0 0) into 0
11.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
11.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
11.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
11.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
11.814 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/4 (sqrt 1/2)))) (+ (* (- (* 1/4 (sqrt 1/2))) 0) (* 0 (sqrt 1/2))))) into 0
11.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.818 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
11.818 * [backup-simplify]: Simplify (+ 0 0) into 0
11.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/4 (/ (sqrt 1/2) (sqrt 2))))))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into 0
11.821 * [backup-simplify]: Simplify (+ 0 0) into 0
11.821 * [backup-simplify]: Simplify 0 into 0
11.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.826 * [backup-simplify]: Simplify (+ 0 0) into 0
11.827 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
11.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
11.831 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
11.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
11.841 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
11.844 * [backup-simplify]: Simplify (+ 0 0) into 0
11.845 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
11.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
11.849 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
11.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
11.872 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* 5/32 (sqrt 1/2))) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 1/2))) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (* 5/32 (sqrt 1/2)) (sqrt 1/2)))))) into (* 3/8 (pow (sqrt 1/2) 2))
11.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.877 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0
11.880 * [backup-simplify]: Simplify (+ (* 3/8 (pow (sqrt 1/2) 2)) 0) into (* 3/8 (pow (sqrt 1/2) 2))
11.894 * [backup-simplify]: Simplify (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (pow (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2))))
11.908 * [backup-simplify]: Simplify (+ (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) 0) into (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3))))
11.912 * [backup-simplify]: Simplify (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) into (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3))))
11.919 * [backup-simplify]: Simplify (+ (* (- (* 3/16 (/ (sqrt 1/2) (sqrt 2))) (* 1/32 (/ (sqrt 1/2) (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (* 1/4 (/ (sqrt 1/2) (sqrt 2)))) (pow x 2)) (+ (* (sqrt 2) (sqrt 1/2)) 1))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3)))))
11.920 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1)
11.920 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0
11.920 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
11.920 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
11.920 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
11.920 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
11.920 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
11.920 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
11.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
11.920 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.920 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.920 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.920 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.920 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.920 * [taylor]: Taking taylor expansion of 1 in x
11.920 * [backup-simplify]: Simplify 1 into 1
11.920 * [taylor]: Taking taylor expansion of 1 in x
11.920 * [backup-simplify]: Simplify 1 into 1
11.920 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.920 * [taylor]: Taking taylor expansion of x in x
11.920 * [backup-simplify]: Simplify 0 into 0
11.920 * [backup-simplify]: Simplify 1 into 1
11.920 * [backup-simplify]: Simplify (/ 1 1) into 1
11.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.920 * [taylor]: Taking taylor expansion of x in x
11.920 * [backup-simplify]: Simplify 0 into 0
11.920 * [backup-simplify]: Simplify 1 into 1
11.921 * [backup-simplify]: Simplify (/ 1 1) into 1
11.921 * [backup-simplify]: Simplify (* 1 1) into 1
11.921 * [backup-simplify]: Simplify (+ 0 1) into 1
11.926 * [backup-simplify]: Simplify (sqrt 1) into 1
11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.928 * [backup-simplify]: Simplify (+ 0 0) into 0
11.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.928 * [backup-simplify]: Simplify (/ 1 1) into 1
11.929 * [backup-simplify]: Simplify (sqrt 0) into 0
11.929 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.929 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.930 * [taylor]: Taking taylor expansion of 1/2 in x
11.930 * [backup-simplify]: Simplify 1/2 into 1/2
11.930 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.930 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
11.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
11.930 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.930 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.930 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.930 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.930 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.930 * [taylor]: Taking taylor expansion of 1 in x
11.930 * [backup-simplify]: Simplify 1 into 1
11.930 * [taylor]: Taking taylor expansion of 1 in x
11.930 * [backup-simplify]: Simplify 1 into 1
11.930 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.931 * [taylor]: Taking taylor expansion of x in x
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 1 into 1
11.931 * [backup-simplify]: Simplify (/ 1 1) into 1
11.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.931 * [taylor]: Taking taylor expansion of x in x
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 1 into 1
11.931 * [backup-simplify]: Simplify (/ 1 1) into 1
11.931 * [backup-simplify]: Simplify (* 1 1) into 1
11.932 * [backup-simplify]: Simplify (+ 0 1) into 1
11.932 * [backup-simplify]: Simplify (sqrt 1) into 1
11.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.933 * [backup-simplify]: Simplify (+ 0 0) into 0
11.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.934 * [backup-simplify]: Simplify (/ 1 1) into 1
11.935 * [backup-simplify]: Simplify (sqrt 0) into 0
11.936 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.936 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.936 * [taylor]: Taking taylor expansion of 1/2 in x
11.936 * [backup-simplify]: Simplify 1/2 into 1/2
11.937 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.937 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
11.937 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.937 * [taylor]: Taking taylor expansion of 1/2 in x
11.937 * [backup-simplify]: Simplify 1/2 into 1/2
11.938 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.939 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.939 * [taylor]: Taking taylor expansion of 1/2 in x
11.939 * [backup-simplify]: Simplify 1/2 into 1/2
11.939 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.940 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.941 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.941 * [backup-simplify]: Simplify (* 0 0) into 0
11.942 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.944 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
11.946 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
11.948 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.950 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.951 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
11.951 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.952 * [backup-simplify]: Simplify (+ 0 0) into 0
11.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
11.952 * [taylor]: Taking taylor expansion of 1 in x
11.952 * [backup-simplify]: Simplify 1 into 1
11.952 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
11.952 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
11.952 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
11.952 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
11.952 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
11.952 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
11.952 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
11.952 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.952 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.953 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.953 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.953 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.953 * [taylor]: Taking taylor expansion of 1 in x
11.953 * [backup-simplify]: Simplify 1 into 1
11.953 * [taylor]: Taking taylor expansion of 1 in x
11.953 * [backup-simplify]: Simplify 1 into 1
11.953 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.953 * [taylor]: Taking taylor expansion of x in x
11.953 * [backup-simplify]: Simplify 0 into 0
11.953 * [backup-simplify]: Simplify 1 into 1
11.953 * [backup-simplify]: Simplify (/ 1 1) into 1
11.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.953 * [taylor]: Taking taylor expansion of x in x
11.953 * [backup-simplify]: Simplify 0 into 0
11.953 * [backup-simplify]: Simplify 1 into 1
11.953 * [backup-simplify]: Simplify (/ 1 1) into 1
11.953 * [backup-simplify]: Simplify (* 1 1) into 1
11.954 * [backup-simplify]: Simplify (+ 0 1) into 1
11.954 * [backup-simplify]: Simplify (sqrt 1) into 1
11.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.956 * [backup-simplify]: Simplify (+ 0 0) into 0
11.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.956 * [backup-simplify]: Simplify (/ 1 1) into 1
11.957 * [backup-simplify]: Simplify (sqrt 0) into 0
11.957 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.957 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.957 * [taylor]: Taking taylor expansion of 1/2 in x
11.957 * [backup-simplify]: Simplify 1/2 into 1/2
11.958 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.958 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
11.958 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
11.958 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
11.958 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
11.958 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
11.958 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
11.958 * [taylor]: Taking taylor expansion of (* 1 1) in x
11.958 * [taylor]: Taking taylor expansion of 1 in x
11.958 * [backup-simplify]: Simplify 1 into 1
11.958 * [taylor]: Taking taylor expansion of 1 in x
11.958 * [backup-simplify]: Simplify 1 into 1
11.958 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
11.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.958 * [taylor]: Taking taylor expansion of x in x
11.958 * [backup-simplify]: Simplify 0 into 0
11.958 * [backup-simplify]: Simplify 1 into 1
11.959 * [backup-simplify]: Simplify (/ 1 1) into 1
11.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x
11.959 * [taylor]: Taking taylor expansion of x in x
11.959 * [backup-simplify]: Simplify 0 into 0
11.959 * [backup-simplify]: Simplify 1 into 1
11.959 * [backup-simplify]: Simplify (/ 1 1) into 1
11.959 * [backup-simplify]: Simplify (* 1 1) into 1
11.959 * [backup-simplify]: Simplify (+ 0 1) into 1
11.960 * [backup-simplify]: Simplify (sqrt 1) into 1
11.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.961 * [backup-simplify]: Simplify (+ 0 0) into 0
11.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.962 * [backup-simplify]: Simplify (/ 1 1) into 1
11.962 * [backup-simplify]: Simplify (sqrt 0) into 0
11.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.963 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.963 * [taylor]: Taking taylor expansion of 1/2 in x
11.963 * [backup-simplify]: Simplify 1/2 into 1/2
11.963 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.964 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
11.964 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.964 * [taylor]: Taking taylor expansion of 1/2 in x
11.964 * [backup-simplify]: Simplify 1/2 into 1/2
11.964 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.964 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
11.964 * [taylor]: Taking taylor expansion of 1/2 in x
11.964 * [backup-simplify]: Simplify 1/2 into 1/2
11.965 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.965 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.966 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
11.966 * [backup-simplify]: Simplify (* 0 0) into 0
11.967 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
11.968 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
11.969 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
11.970 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.971 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
11.972 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
11.972 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
11.972 * [backup-simplify]: Simplify (+ 0 0) into 0
11.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
11.973 * [taylor]: Taking taylor expansion of 1 in x
11.973 * [backup-simplify]: Simplify 1 into 1
11.974 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
11.974 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
11.974 * [backup-simplify]: Simplify (+ 0 0) into 0
11.974 * [backup-simplify]: Simplify 0 into 0
11.975 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.977 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.982 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.986 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.997 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
11.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.001 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
12.005 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.014 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
12.016 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
12.018 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.020 * [backup-simplify]: Simplify (* 1 1) into 1
12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.023 * [backup-simplify]: Simplify (+ 1 0) into 1
12.024 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.030 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
12.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.037 * [backup-simplify]: Simplify (* 1 1) into 1
12.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.039 * [backup-simplify]: Simplify (+ 1 0) into 1
12.040 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.048 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
12.059 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.061 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
12.063 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.068 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
12.069 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
12.069 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.072 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 x) 2)) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))
12.072 * [backup-simplify]: Simplify (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt 1/2))) into (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1)
12.072 * [approximate]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in (x) around 0
12.072 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
12.072 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
12.072 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
12.073 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
12.073 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
12.073 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
12.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
12.073 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
12.073 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
12.073 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
12.073 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
12.073 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.073 * [taylor]: Taking taylor expansion of 1 in x
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [taylor]: Taking taylor expansion of 1 in x
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
12.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.073 * [taylor]: Taking taylor expansion of -1 in x
12.073 * [backup-simplify]: Simplify -1 into -1
12.073 * [taylor]: Taking taylor expansion of x in x
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [backup-simplify]: Simplify (/ -1 1) into -1
12.073 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.073 * [taylor]: Taking taylor expansion of -1 in x
12.073 * [backup-simplify]: Simplify -1 into -1
12.073 * [taylor]: Taking taylor expansion of x in x
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [backup-simplify]: Simplify (/ -1 1) into -1
12.074 * [backup-simplify]: Simplify (* -1 -1) into 1
12.074 * [backup-simplify]: Simplify (+ 0 1) into 1
12.074 * [backup-simplify]: Simplify (sqrt 1) into 1
12.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.076 * [backup-simplify]: Simplify (+ 0 0) into 0
12.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.076 * [backup-simplify]: Simplify (/ 1 1) into 1
12.077 * [backup-simplify]: Simplify (sqrt 0) into 0
12.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.078 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.078 * [taylor]: Taking taylor expansion of 1/2 in x
12.078 * [backup-simplify]: Simplify 1/2 into 1/2
12.078 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.078 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
12.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
12.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
12.078 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
12.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
12.079 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
12.079 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.079 * [taylor]: Taking taylor expansion of 1 in x
12.079 * [backup-simplify]: Simplify 1 into 1
12.079 * [taylor]: Taking taylor expansion of 1 in x
12.079 * [backup-simplify]: Simplify 1 into 1
12.079 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
12.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.079 * [taylor]: Taking taylor expansion of -1 in x
12.079 * [backup-simplify]: Simplify -1 into -1
12.079 * [taylor]: Taking taylor expansion of x in x
12.079 * [backup-simplify]: Simplify 0 into 0
12.079 * [backup-simplify]: Simplify 1 into 1
12.079 * [backup-simplify]: Simplify (/ -1 1) into -1
12.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.079 * [taylor]: Taking taylor expansion of -1 in x
12.079 * [backup-simplify]: Simplify -1 into -1
12.079 * [taylor]: Taking taylor expansion of x in x
12.079 * [backup-simplify]: Simplify 0 into 0
12.079 * [backup-simplify]: Simplify 1 into 1
12.079 * [backup-simplify]: Simplify (/ -1 1) into -1
12.080 * [backup-simplify]: Simplify (* -1 -1) into 1
12.080 * [backup-simplify]: Simplify (+ 0 1) into 1
12.080 * [backup-simplify]: Simplify (sqrt 1) into 1
12.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.081 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.082 * [backup-simplify]: Simplify (+ 0 0) into 0
12.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.083 * [backup-simplify]: Simplify (/ 1 1) into 1
12.083 * [backup-simplify]: Simplify (sqrt 0) into 0
12.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.084 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.084 * [taylor]: Taking taylor expansion of 1/2 in x
12.084 * [backup-simplify]: Simplify 1/2 into 1/2
12.085 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.086 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
12.086 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.086 * [taylor]: Taking taylor expansion of 1/2 in x
12.086 * [backup-simplify]: Simplify 1/2 into 1/2
12.086 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.087 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.087 * [taylor]: Taking taylor expansion of 1/2 in x
12.087 * [backup-simplify]: Simplify 1/2 into 1/2
12.087 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.089 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.089 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.089 * [backup-simplify]: Simplify (* 0 0) into 0
12.091 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.092 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
12.094 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
12.096 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.098 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.100 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
12.100 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.101 * [backup-simplify]: Simplify (+ 0 0) into 0
12.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
12.102 * [taylor]: Taking taylor expansion of 1 in x
12.102 * [backup-simplify]: Simplify 1 into 1
12.102 * [taylor]: Taking taylor expansion of (+ (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) 1) in x
12.102 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
12.102 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
12.102 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
12.102 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
12.102 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
12.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
12.102 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
12.102 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
12.102 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
12.102 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
12.102 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.102 * [taylor]: Taking taylor expansion of 1 in x
12.102 * [backup-simplify]: Simplify 1 into 1
12.102 * [taylor]: Taking taylor expansion of 1 in x
12.102 * [backup-simplify]: Simplify 1 into 1
12.102 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
12.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.102 * [taylor]: Taking taylor expansion of -1 in x
12.102 * [backup-simplify]: Simplify -1 into -1
12.102 * [taylor]: Taking taylor expansion of x in x
12.102 * [backup-simplify]: Simplify 0 into 0
12.102 * [backup-simplify]: Simplify 1 into 1
12.103 * [backup-simplify]: Simplify (/ -1 1) into -1
12.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.103 * [taylor]: Taking taylor expansion of -1 in x
12.103 * [backup-simplify]: Simplify -1 into -1
12.103 * [taylor]: Taking taylor expansion of x in x
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify 1 into 1
12.103 * [backup-simplify]: Simplify (/ -1 1) into -1
12.103 * [backup-simplify]: Simplify (* -1 -1) into 1
12.103 * [backup-simplify]: Simplify (+ 0 1) into 1
12.104 * [backup-simplify]: Simplify (sqrt 1) into 1
12.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.105 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.106 * [backup-simplify]: Simplify (+ 0 0) into 0
12.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.106 * [backup-simplify]: Simplify (/ 1 1) into 1
12.107 * [backup-simplify]: Simplify (sqrt 0) into 0
12.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.108 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.108 * [taylor]: Taking taylor expansion of 1/2 in x
12.108 * [backup-simplify]: Simplify 1/2 into 1/2
12.108 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.109 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
12.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
12.109 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
12.109 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
12.109 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
12.109 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
12.109 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.109 * [taylor]: Taking taylor expansion of 1 in x
12.109 * [backup-simplify]: Simplify 1 into 1
12.109 * [taylor]: Taking taylor expansion of 1 in x
12.109 * [backup-simplify]: Simplify 1 into 1
12.109 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
12.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.109 * [taylor]: Taking taylor expansion of -1 in x
12.109 * [backup-simplify]: Simplify -1 into -1
12.109 * [taylor]: Taking taylor expansion of x in x
12.109 * [backup-simplify]: Simplify 0 into 0
12.109 * [backup-simplify]: Simplify 1 into 1
12.109 * [backup-simplify]: Simplify (/ -1 1) into -1
12.109 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.109 * [taylor]: Taking taylor expansion of -1 in x
12.109 * [backup-simplify]: Simplify -1 into -1
12.109 * [taylor]: Taking taylor expansion of x in x
12.109 * [backup-simplify]: Simplify 0 into 0
12.109 * [backup-simplify]: Simplify 1 into 1
12.110 * [backup-simplify]: Simplify (/ -1 1) into -1
12.110 * [backup-simplify]: Simplify (* -1 -1) into 1
12.110 * [backup-simplify]: Simplify (+ 0 1) into 1
12.110 * [backup-simplify]: Simplify (sqrt 1) into 1
12.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.112 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.112 * [backup-simplify]: Simplify (+ 0 0) into 0
12.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.113 * [backup-simplify]: Simplify (/ 1 1) into 1
12.113 * [backup-simplify]: Simplify (sqrt 0) into 0
12.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.114 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.114 * [taylor]: Taking taylor expansion of 1/2 in x
12.114 * [backup-simplify]: Simplify 1/2 into 1/2
12.114 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.115 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
12.115 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.115 * [taylor]: Taking taylor expansion of 1/2 in x
12.115 * [backup-simplify]: Simplify 1/2 into 1/2
12.115 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.115 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.115 * [taylor]: Taking taylor expansion of 1/2 in x
12.115 * [backup-simplify]: Simplify 1/2 into 1/2
12.116 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.116 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.117 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.117 * [backup-simplify]: Simplify (* 0 0) into 0
12.118 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.119 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
12.120 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
12.121 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.122 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.124 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
12.124 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.125 * [backup-simplify]: Simplify (+ 0 0) into 0
12.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
12.126 * [taylor]: Taking taylor expansion of 1 in x
12.126 * [backup-simplify]: Simplify 1 into 1
12.127 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
12.128 * [backup-simplify]: Simplify (+ (sqrt 1/2) 1) into (+ (sqrt 1/2) 1)
12.128 * [backup-simplify]: Simplify (+ 0 0) into 0
12.128 * [backup-simplify]: Simplify 0 into 0
12.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.133 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.142 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.161 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.162 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.163 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.164 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
12.168 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.173 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
12.174 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
12.175 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.176 * [backup-simplify]: Simplify (* 1 1) into 1
12.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.177 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.178 * [backup-simplify]: Simplify (+ 1 0) into 1
12.178 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.181 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
12.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.185 * [backup-simplify]: Simplify (* 1 1) into 1
12.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.187 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.187 * [backup-simplify]: Simplify (+ 1 0) into 1
12.188 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.191 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
12.205 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.209 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
12.213 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.224 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
12.226 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 1/2)) 0) into (- (* +nan.0 (sqrt 1/2)))
12.227 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.231 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 (- x)) 2)) (+ (sqrt 1/2) 1))) into (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))
12.231 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
12.231 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2))
12.231 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0
12.231 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
12.231 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
12.231 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
12.232 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
12.232 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
12.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
12.232 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
12.232 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
12.232 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
12.232 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
12.232 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.232 * [taylor]: Taking taylor expansion of 1 in x
12.232 * [backup-simplify]: Simplify 1 into 1
12.232 * [taylor]: Taking taylor expansion of 1 in x
12.232 * [backup-simplify]: Simplify 1 into 1
12.232 * [taylor]: Taking taylor expansion of (* x x) in x
12.232 * [taylor]: Taking taylor expansion of x in x
12.232 * [backup-simplify]: Simplify 0 into 0
12.232 * [backup-simplify]: Simplify 1 into 1
12.232 * [taylor]: Taking taylor expansion of x in x
12.232 * [backup-simplify]: Simplify 0 into 0
12.232 * [backup-simplify]: Simplify 1 into 1
12.232 * [backup-simplify]: Simplify (* 1 1) into 1
12.232 * [backup-simplify]: Simplify (* 0 0) into 0
12.233 * [backup-simplify]: Simplify (+ 1 0) into 1
12.233 * [backup-simplify]: Simplify (sqrt 1) into 1
12.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.234 * [backup-simplify]: Simplify (+ 0 0) into 0
12.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.235 * [backup-simplify]: Simplify (/ 1 1) into 1
12.235 * [backup-simplify]: Simplify (sqrt 1) into 1
12.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.236 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.236 * [taylor]: Taking taylor expansion of 1/2 in x
12.236 * [backup-simplify]: Simplify 1/2 into 1/2
12.236 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.237 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
12.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
12.237 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
12.237 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
12.237 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
12.237 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
12.237 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.237 * [taylor]: Taking taylor expansion of 1 in x
12.237 * [backup-simplify]: Simplify 1 into 1
12.237 * [taylor]: Taking taylor expansion of 1 in x
12.237 * [backup-simplify]: Simplify 1 into 1
12.237 * [taylor]: Taking taylor expansion of (* x x) in x
12.237 * [taylor]: Taking taylor expansion of x in x
12.237 * [backup-simplify]: Simplify 0 into 0
12.237 * [backup-simplify]: Simplify 1 into 1
12.237 * [taylor]: Taking taylor expansion of x in x
12.237 * [backup-simplify]: Simplify 0 into 0
12.237 * [backup-simplify]: Simplify 1 into 1
12.237 * [backup-simplify]: Simplify (* 1 1) into 1
12.237 * [backup-simplify]: Simplify (* 0 0) into 0
12.238 * [backup-simplify]: Simplify (+ 1 0) into 1
12.238 * [backup-simplify]: Simplify (sqrt 1) into 1
12.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.239 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.239 * [backup-simplify]: Simplify (+ 0 0) into 0
12.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.240 * [backup-simplify]: Simplify (/ 1 1) into 1
12.240 * [backup-simplify]: Simplify (sqrt 1) into 1
12.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.241 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.241 * [taylor]: Taking taylor expansion of 1/2 in x
12.241 * [backup-simplify]: Simplify 1/2 into 1/2
12.241 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.241 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
12.241 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.241 * [taylor]: Taking taylor expansion of 1/2 in x
12.242 * [backup-simplify]: Simplify 1/2 into 1/2
12.242 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.242 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.242 * [taylor]: Taking taylor expansion of 1/2 in x
12.242 * [backup-simplify]: Simplify 1/2 into 1/2
12.243 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.243 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
12.244 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
12.245 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.246 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.247 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
12.248 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
12.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
12.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
12.250 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.250 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.251 * [backup-simplify]: Simplify (+ 0 0) into 0
12.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
12.251 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (sqrt 1/2)) in x
12.251 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
12.251 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
12.251 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2))) in x
12.251 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
12.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
12.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
12.251 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
12.251 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
12.251 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
12.251 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.251 * [taylor]: Taking taylor expansion of 1 in x
12.251 * [backup-simplify]: Simplify 1 into 1
12.251 * [taylor]: Taking taylor expansion of 1 in x
12.251 * [backup-simplify]: Simplify 1 into 1
12.251 * [taylor]: Taking taylor expansion of (* x x) in x
12.251 * [taylor]: Taking taylor expansion of x in x
12.252 * [backup-simplify]: Simplify 0 into 0
12.252 * [backup-simplify]: Simplify 1 into 1
12.252 * [taylor]: Taking taylor expansion of x in x
12.252 * [backup-simplify]: Simplify 0 into 0
12.252 * [backup-simplify]: Simplify 1 into 1
12.252 * [backup-simplify]: Simplify (* 1 1) into 1
12.252 * [backup-simplify]: Simplify (* 0 0) into 0
12.252 * [backup-simplify]: Simplify (+ 1 0) into 1
12.253 * [backup-simplify]: Simplify (sqrt 1) into 1
12.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.253 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.254 * [backup-simplify]: Simplify (+ 0 0) into 0
12.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.254 * [backup-simplify]: Simplify (/ 1 1) into 1
12.254 * [backup-simplify]: Simplify (sqrt 1) into 1
12.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.263 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.263 * [taylor]: Taking taylor expansion of 1/2 in x
12.263 * [backup-simplify]: Simplify 1/2 into 1/2
12.264 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.265 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 x))) (sqrt 1/2)) in x
12.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 x))) in x
12.265 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x
12.265 * [taylor]: Taking taylor expansion of (hypot 1 x) in x
12.265 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* x x)))
12.265 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* x x)) in x
12.265 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.265 * [taylor]: Taking taylor expansion of 1 in x
12.265 * [backup-simplify]: Simplify 1 into 1
12.265 * [taylor]: Taking taylor expansion of 1 in x
12.265 * [backup-simplify]: Simplify 1 into 1
12.265 * [taylor]: Taking taylor expansion of (* x x) in x
12.265 * [taylor]: Taking taylor expansion of x in x
12.265 * [backup-simplify]: Simplify 0 into 0
12.265 * [backup-simplify]: Simplify 1 into 1
12.265 * [taylor]: Taking taylor expansion of x in x
12.265 * [backup-simplify]: Simplify 0 into 0
12.265 * [backup-simplify]: Simplify 1 into 1
12.266 * [backup-simplify]: Simplify (* 1 1) into 1
12.266 * [backup-simplify]: Simplify (* 0 0) into 0
12.267 * [backup-simplify]: Simplify (+ 1 0) into 1
12.267 * [backup-simplify]: Simplify (sqrt 1) into 1
12.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.268 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
12.269 * [backup-simplify]: Simplify (+ 0 0) into 0
12.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.270 * [backup-simplify]: Simplify (/ 1 1) into 1
12.270 * [backup-simplify]: Simplify (sqrt 1) into 1
12.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.272 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.272 * [taylor]: Taking taylor expansion of 1/2 in x
12.272 * [backup-simplify]: Simplify 1/2 into 1/2
12.272 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.273 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
12.273 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.273 * [taylor]: Taking taylor expansion of 1/2 in x
12.273 * [backup-simplify]: Simplify 1/2 into 1/2
12.274 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.274 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.275 * [taylor]: Taking taylor expansion of 1/2 in x
12.275 * [backup-simplify]: Simplify 1/2 into 1/2
12.275 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.277 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
12.278 * [backup-simplify]: Simplify (* 1 (sqrt 1/2)) into (sqrt 1/2)
12.279 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.280 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.283 * [backup-simplify]: Simplify (+ (pow (sqrt 1/2) 2) (pow (sqrt 1/2) 2)) into (* 2 (pow (sqrt 1/2) 2))
12.285 * [backup-simplify]: Simplify (sqrt (* 2 (pow (sqrt 1/2) 2))) into (* (sqrt 2) (sqrt 1/2))
12.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
12.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1/2))) into 0
12.288 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.289 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.289 * [backup-simplify]: Simplify (+ 0 0) into 0
12.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow (sqrt 1/2) 2))))) into 0
12.292 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 1/2)) into (* (sqrt 2) (sqrt 1/2))
12.292 * [backup-simplify]: Simplify 0 into 0
12.293 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.295 * [backup-simplify]: Simplify (+ 0 1) into 1
12.296 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.299 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
12.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
12.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
12.306 * [backup-simplify]: Simplify (+ 0 1) into 1
12.307 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.309 * [backup-simplify]: Simplify (/ (- -1/2 (pow 0 2) (+)) (* 2 1)) into -1/4
12.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (sqrt 1/2)))) into (- (* 1/4 (sqrt 1/2)))
12.320 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (- (* 1/4 (sqrt 1/2))) (sqrt 1/2)))) into (- (* 1/2 (pow (sqrt 1/2) 2)))
12.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.323 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
12.325 * [backup-simplify]: Simplify (+ (- (* 1/2 (pow (sqrt 1/2) 2))) 0) into (- (* 1/2 (pow (sqrt 1/2) 2)))
12.330 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2)))
12.331 * [backup-simplify]: Simplify (* -1/4 (/ (sqrt 1/2) (sqrt 2))) into (* -1/4 (/ (sqrt 1/2) (sqrt 2)))
12.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.333 * [backup-simplify]: Simplify (+ 0 0) into 0
12.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
12.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
12.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
12.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
12.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
12.339 * [backup-simplify]: Simplify (+ 0 0) into 0
12.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 1/2)))) (* 2 1)) into 0
12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 1/2 1)) (* -1/2 (/ 0 1)))) into 0
12.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/4)))) (* 2 1)) into 0
12.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (sqrt 1/2))))) into 0
12.346 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/4 (sqrt 1/2)))) (+ (* (- (* 1/4 (sqrt 1/2))) 0) (* 0 (sqrt 1/2))))) into 0
12.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.351 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
12.351 * [backup-simplify]: Simplify (+ 0 0) into 0
12.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/4 (/ (sqrt 1/2) (sqrt 2))))))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into 0
12.354 * [backup-simplify]: Simplify 0 into 0
12.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
12.358 * [backup-simplify]: Simplify (+ 0 0) into 0
12.359 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
12.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
12.363 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
12.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
12.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
12.372 * [backup-simplify]: Simplify (+ 0 0) into 0
12.372 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8
12.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/8 1)) (* 0 (/ 0 1)) (* -1/2 (/ 1/2 1)) (* 0 (/ 0 1)))) into 3/8
12.374 * [backup-simplify]: Simplify (/ (- 3/8 (pow -1/4 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 5/32
12.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 5/32 (sqrt 1/2)))))) into (* 5/32 (sqrt 1/2))
12.396 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* 5/32 (sqrt 1/2))) (+ (* 0 0) (+ (* (- (* 1/4 (sqrt 1/2))) (- (* 1/4 (sqrt 1/2)))) (+ (* 0 0) (* (* 5/32 (sqrt 1/2)) (sqrt 1/2)))))) into (* 3/8 (pow (sqrt 1/2) 2))
12.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.400 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0
12.403 * [backup-simplify]: Simplify (+ (* 3/8 (pow (sqrt 1/2) 2)) 0) into (* 3/8 (pow (sqrt 1/2) 2))
12.415 * [backup-simplify]: Simplify (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (pow (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2))))
12.429 * [backup-simplify]: Simplify (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) into (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2))))
12.447 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (/ (pow (sqrt 1/2) 2) (pow (sqrt 2) 2)))) (* (sqrt 2) (sqrt 1/2)))) (pow x 4)) (+ (* (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (pow x 2)) (* (sqrt 2) (sqrt 1/2)))) into (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3)))))
12.447 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 x)))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2))
12.447 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0
12.447 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
12.448 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
12.448 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
12.448 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
12.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
12.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
12.448 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
12.448 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
12.448 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
12.448 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
12.448 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.448 * [taylor]: Taking taylor expansion of 1 in x
12.448 * [backup-simplify]: Simplify 1 into 1
12.448 * [taylor]: Taking taylor expansion of 1 in x
12.448 * [backup-simplify]: Simplify 1 into 1
12.448 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
12.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.448 * [taylor]: Taking taylor expansion of x in x
12.448 * [backup-simplify]: Simplify 0 into 0
12.448 * [backup-simplify]: Simplify 1 into 1
12.448 * [backup-simplify]: Simplify (/ 1 1) into 1
12.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.448 * [taylor]: Taking taylor expansion of x in x
12.449 * [backup-simplify]: Simplify 0 into 0
12.449 * [backup-simplify]: Simplify 1 into 1
12.449 * [backup-simplify]: Simplify (/ 1 1) into 1
12.449 * [backup-simplify]: Simplify (* 1 1) into 1
12.450 * [backup-simplify]: Simplify (+ 0 1) into 1
12.450 * [backup-simplify]: Simplify (sqrt 1) into 1
12.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.453 * [backup-simplify]: Simplify (+ 0 0) into 0
12.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.454 * [backup-simplify]: Simplify (/ 1 1) into 1
12.454 * [backup-simplify]: Simplify (sqrt 0) into 0
12.456 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.456 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.456 * [taylor]: Taking taylor expansion of 1/2 in x
12.456 * [backup-simplify]: Simplify 1/2 into 1/2
12.456 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.457 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
12.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
12.457 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
12.457 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
12.457 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
12.457 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
12.457 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.457 * [taylor]: Taking taylor expansion of 1 in x
12.457 * [backup-simplify]: Simplify 1 into 1
12.457 * [taylor]: Taking taylor expansion of 1 in x
12.457 * [backup-simplify]: Simplify 1 into 1
12.457 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
12.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.457 * [taylor]: Taking taylor expansion of x in x
12.457 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify 1 into 1
12.458 * [backup-simplify]: Simplify (/ 1 1) into 1
12.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.458 * [taylor]: Taking taylor expansion of x in x
12.458 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify 1 into 1
12.458 * [backup-simplify]: Simplify (/ 1 1) into 1
12.459 * [backup-simplify]: Simplify (* 1 1) into 1
12.459 * [backup-simplify]: Simplify (+ 0 1) into 1
12.460 * [backup-simplify]: Simplify (sqrt 1) into 1
12.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.462 * [backup-simplify]: Simplify (+ 0 0) into 0
12.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.463 * [backup-simplify]: Simplify (/ 1 1) into 1
12.464 * [backup-simplify]: Simplify (sqrt 0) into 0
12.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.465 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.465 * [taylor]: Taking taylor expansion of 1/2 in x
12.465 * [backup-simplify]: Simplify 1/2 into 1/2
12.466 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.466 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
12.466 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.466 * [taylor]: Taking taylor expansion of 1/2 in x
12.466 * [backup-simplify]: Simplify 1/2 into 1/2
12.467 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.467 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.467 * [taylor]: Taking taylor expansion of 1/2 in x
12.468 * [backup-simplify]: Simplify 1/2 into 1/2
12.468 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.469 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.470 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.470 * [backup-simplify]: Simplify (* 0 0) into 0
12.471 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.473 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
12.474 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
12.476 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.478 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.479 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
12.480 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.481 * [backup-simplify]: Simplify (+ 0 0) into 0
12.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
12.481 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
12.482 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
12.482 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
12.482 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2))) in x
12.482 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
12.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
12.482 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
12.482 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
12.482 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
12.482 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
12.482 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.482 * [taylor]: Taking taylor expansion of 1 in x
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [taylor]: Taking taylor expansion of 1 in x
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
12.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.482 * [taylor]: Taking taylor expansion of x in x
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [backup-simplify]: Simplify (/ 1 1) into 1
12.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.482 * [taylor]: Taking taylor expansion of x in x
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.483 * [backup-simplify]: Simplify (/ 1 1) into 1
12.483 * [backup-simplify]: Simplify (* 1 1) into 1
12.484 * [backup-simplify]: Simplify (+ 0 1) into 1
12.484 * [backup-simplify]: Simplify (sqrt 1) into 1
12.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.486 * [backup-simplify]: Simplify (+ 0 0) into 0
12.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.487 * [backup-simplify]: Simplify (/ 1 1) into 1
12.487 * [backup-simplify]: Simplify (sqrt 0) into 0
12.488 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.488 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.488 * [taylor]: Taking taylor expansion of 1/2 in x
12.488 * [backup-simplify]: Simplify 1/2 into 1/2
12.488 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.489 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ 1 x)))) (sqrt 1/2)) in x
12.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ 1 x)))) in x
12.489 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x
12.489 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x
12.489 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ 1 x) (/ 1 x))))
12.489 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ 1 x) (/ 1 x))) in x
12.489 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.489 * [taylor]: Taking taylor expansion of 1 in x
12.489 * [backup-simplify]: Simplify 1 into 1
12.489 * [taylor]: Taking taylor expansion of 1 in x
12.489 * [backup-simplify]: Simplify 1 into 1
12.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
12.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.489 * [taylor]: Taking taylor expansion of x in x
12.489 * [backup-simplify]: Simplify 0 into 0
12.489 * [backup-simplify]: Simplify 1 into 1
12.489 * [backup-simplify]: Simplify (/ 1 1) into 1
12.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x
12.489 * [taylor]: Taking taylor expansion of x in x
12.489 * [backup-simplify]: Simplify 0 into 0
12.489 * [backup-simplify]: Simplify 1 into 1
12.489 * [backup-simplify]: Simplify (/ 1 1) into 1
12.490 * [backup-simplify]: Simplify (* 1 1) into 1
12.490 * [backup-simplify]: Simplify (+ 0 1) into 1
12.490 * [backup-simplify]: Simplify (sqrt 1) into 1
12.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.492 * [backup-simplify]: Simplify (+ 0 0) into 0
12.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.493 * [backup-simplify]: Simplify (/ 1 1) into 1
12.493 * [backup-simplify]: Simplify (sqrt 0) into 0
12.494 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.494 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.494 * [taylor]: Taking taylor expansion of 1/2 in x
12.494 * [backup-simplify]: Simplify 1/2 into 1/2
12.494 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.494 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
12.494 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.494 * [taylor]: Taking taylor expansion of 1/2 in x
12.494 * [backup-simplify]: Simplify 1/2 into 1/2
12.495 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.495 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.495 * [taylor]: Taking taylor expansion of 1/2 in x
12.495 * [backup-simplify]: Simplify 1/2 into 1/2
12.495 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.496 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.497 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
12.497 * [backup-simplify]: Simplify (* 0 0) into 0
12.498 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
12.499 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
12.500 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
12.501 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.502 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
12.503 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
12.504 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
12.504 * [backup-simplify]: Simplify (+ 0 0) into 0
12.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
12.505 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.505 * [backup-simplify]: Simplify 0 into 0
12.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.508 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.903 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.907 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.914 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.916 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
12.918 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.922 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
12.923 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
12.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.924 * [backup-simplify]: Simplify (* 1 1) into 1
12.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.926 * [backup-simplify]: Simplify (+ 1 0) into 1
12.926 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.930 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
12.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.935 * [backup-simplify]: Simplify (* 1 1) into 1
12.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.938 * [backup-simplify]: Simplify (+ 1 0) into 1
12.939 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
12.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
12.945 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
12.964 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.968 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
12.972 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
12.981 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
12.982 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
12.985 * [backup-simplify]: Simplify (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 x) 3)) (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 x) 2)) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))
12.985 * [backup-simplify]: Simplify (hypot (sqrt (/ 1/2 (hypot 1 (/ 1 (- x))))) (sqrt 1/2)) into (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2))
12.985 * [approximate]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in (x) around 0
12.985 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
12.985 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
12.985 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
12.985 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
12.985 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
12.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
12.985 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
12.986 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
12.986 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
12.986 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
12.986 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.986 * [taylor]: Taking taylor expansion of 1 in x
12.986 * [backup-simplify]: Simplify 1 into 1
12.986 * [taylor]: Taking taylor expansion of 1 in x
12.986 * [backup-simplify]: Simplify 1 into 1
12.986 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
12.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.986 * [taylor]: Taking taylor expansion of -1 in x
12.986 * [backup-simplify]: Simplify -1 into -1
12.986 * [taylor]: Taking taylor expansion of x in x
12.986 * [backup-simplify]: Simplify 0 into 0
12.986 * [backup-simplify]: Simplify 1 into 1
12.986 * [backup-simplify]: Simplify (/ -1 1) into -1
12.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.986 * [taylor]: Taking taylor expansion of -1 in x
12.987 * [backup-simplify]: Simplify -1 into -1
12.987 * [taylor]: Taking taylor expansion of x in x
12.987 * [backup-simplify]: Simplify 0 into 0
12.987 * [backup-simplify]: Simplify 1 into 1
12.987 * [backup-simplify]: Simplify (/ -1 1) into -1
12.988 * [backup-simplify]: Simplify (* -1 -1) into 1
12.988 * [backup-simplify]: Simplify (+ 0 1) into 1
12.988 * [backup-simplify]: Simplify (sqrt 1) into 1
12.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.991 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.991 * [backup-simplify]: Simplify (+ 0 0) into 0
12.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.992 * [backup-simplify]: Simplify (/ 1 1) into 1
12.993 * [backup-simplify]: Simplify (sqrt 0) into 0
12.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.994 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
12.994 * [taylor]: Taking taylor expansion of 1/2 in x
12.995 * [backup-simplify]: Simplify 1/2 into 1/2
12.995 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
12.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
12.996 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
12.996 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
12.996 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
12.996 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
12.996 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
12.996 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
12.996 * [taylor]: Taking taylor expansion of (* 1 1) in x
12.996 * [taylor]: Taking taylor expansion of 1 in x
12.996 * [backup-simplify]: Simplify 1 into 1
12.996 * [taylor]: Taking taylor expansion of 1 in x
12.996 * [backup-simplify]: Simplify 1 into 1
12.996 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
12.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.996 * [taylor]: Taking taylor expansion of -1 in x
12.996 * [backup-simplify]: Simplify -1 into -1
12.996 * [taylor]: Taking taylor expansion of x in x
12.996 * [backup-simplify]: Simplify 0 into 0
12.996 * [backup-simplify]: Simplify 1 into 1
12.997 * [backup-simplify]: Simplify (/ -1 1) into -1
12.997 * [taylor]: Taking taylor expansion of (/ -1 x) in x
12.997 * [taylor]: Taking taylor expansion of -1 in x
12.997 * [backup-simplify]: Simplify -1 into -1
12.997 * [taylor]: Taking taylor expansion of x in x
12.997 * [backup-simplify]: Simplify 0 into 0
12.997 * [backup-simplify]: Simplify 1 into 1
12.997 * [backup-simplify]: Simplify (/ -1 1) into -1
12.998 * [backup-simplify]: Simplify (* -1 -1) into 1
12.998 * [backup-simplify]: Simplify (+ 0 1) into 1
12.999 * [backup-simplify]: Simplify (sqrt 1) into 1
13.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.001 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.002 * [backup-simplify]: Simplify (+ 0 0) into 0
13.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.003 * [backup-simplify]: Simplify (/ 1 1) into 1
13.003 * [backup-simplify]: Simplify (sqrt 0) into 0
13.005 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.005 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
13.005 * [taylor]: Taking taylor expansion of 1/2 in x
13.005 * [backup-simplify]: Simplify 1/2 into 1/2
13.005 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.006 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
13.006 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
13.006 * [taylor]: Taking taylor expansion of 1/2 in x
13.006 * [backup-simplify]: Simplify 1/2 into 1/2
13.007 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.007 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
13.007 * [taylor]: Taking taylor expansion of 1/2 in x
13.008 * [backup-simplify]: Simplify 1/2 into 1/2
13.008 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.009 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
13.010 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
13.010 * [backup-simplify]: Simplify (* 0 0) into 0
13.012 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
13.013 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
13.015 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
13.017 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
13.019 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
13.021 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
13.022 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
13.022 * [backup-simplify]: Simplify (+ 0 0) into 0
13.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
13.023 * [taylor]: Taking taylor expansion of (hypot (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (sqrt 1/2)) in x
13.023 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))))
13.023 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 1/2))) in x
13.024 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2))) in x
13.024 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
13.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
13.024 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
13.024 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
13.024 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
13.024 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
13.024 * [taylor]: Taking taylor expansion of (* 1 1) in x
13.024 * [taylor]: Taking taylor expansion of 1 in x
13.024 * [backup-simplify]: Simplify 1 into 1
13.024 * [taylor]: Taking taylor expansion of 1 in x
13.024 * [backup-simplify]: Simplify 1 into 1
13.024 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
13.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x
13.024 * [taylor]: Taking taylor expansion of -1 in x
13.024 * [backup-simplify]: Simplify -1 into -1
13.024 * [taylor]: Taking taylor expansion of x in x
13.024 * [backup-simplify]: Simplify 0 into 0
13.024 * [backup-simplify]: Simplify 1 into 1
13.025 * [backup-simplify]: Simplify (/ -1 1) into -1
13.025 * [taylor]: Taking taylor expansion of (/ -1 x) in x
13.025 * [taylor]: Taking taylor expansion of -1 in x
13.025 * [backup-simplify]: Simplify -1 into -1
13.025 * [taylor]: Taking taylor expansion of x in x
13.025 * [backup-simplify]: Simplify 0 into 0
13.025 * [backup-simplify]: Simplify 1 into 1
13.026 * [backup-simplify]: Simplify (/ -1 1) into -1
13.026 * [backup-simplify]: Simplify (* -1 -1) into 1
13.027 * [backup-simplify]: Simplify (+ 0 1) into 1
13.030 * [backup-simplify]: Simplify (sqrt 1) into 1
13.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.033 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.034 * [backup-simplify]: Simplify (+ 0 0) into 0
13.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.035 * [backup-simplify]: Simplify (/ 1 1) into 1
13.035 * [backup-simplify]: Simplify (sqrt 0) into 0
13.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.037 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
13.037 * [taylor]: Taking taylor expansion of 1/2 in x
13.037 * [backup-simplify]: Simplify 1/2 into 1/2
13.037 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.038 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1 (/ -1 x)))) (sqrt 1/2)) in x
13.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1 (/ -1 x)))) in x
13.038 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x
13.038 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x
13.038 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (/ -1 x) (/ -1 x))))
13.038 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (/ -1 x) (/ -1 x))) in x
13.038 * [taylor]: Taking taylor expansion of (* 1 1) in x
13.038 * [taylor]: Taking taylor expansion of 1 in x
13.038 * [backup-simplify]: Simplify 1 into 1
13.038 * [taylor]: Taking taylor expansion of 1 in x
13.038 * [backup-simplify]: Simplify 1 into 1
13.038 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
13.038 * [taylor]: Taking taylor expansion of (/ -1 x) in x
13.038 * [taylor]: Taking taylor expansion of -1 in x
13.038 * [backup-simplify]: Simplify -1 into -1
13.038 * [taylor]: Taking taylor expansion of x in x
13.038 * [backup-simplify]: Simplify 0 into 0
13.038 * [backup-simplify]: Simplify 1 into 1
13.039 * [backup-simplify]: Simplify (/ -1 1) into -1
13.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x
13.039 * [taylor]: Taking taylor expansion of -1 in x
13.039 * [backup-simplify]: Simplify -1 into -1
13.039 * [taylor]: Taking taylor expansion of x in x
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify 1 into 1
13.039 * [backup-simplify]: Simplify (/ -1 1) into -1
13.040 * [backup-simplify]: Simplify (* -1 -1) into 1
13.040 * [backup-simplify]: Simplify (+ 0 1) into 1
13.041 * [backup-simplify]: Simplify (sqrt 1) into 1
13.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.043 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.044 * [backup-simplify]: Simplify (+ 0 0) into 0
13.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.045 * [backup-simplify]: Simplify (/ 1 1) into 1
13.045 * [backup-simplify]: Simplify (sqrt 0) into 0
13.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
13.046 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
13.046 * [taylor]: Taking taylor expansion of 1/2 in x
13.046 * [backup-simplify]: Simplify 1/2 into 1/2
13.047 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.048 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt 1/2)) in x
13.048 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
13.048 * [taylor]: Taking taylor expansion of 1/2 in x
13.048 * [backup-simplify]: Simplify 1/2 into 1/2
13.048 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.049 * [taylor]: Taking taylor expansion of (sqrt 1/2) in x
13.049 * [taylor]: Taking taylor expansion of 1/2 in x
13.049 * [backup-simplify]: Simplify 1/2 into 1/2
13.049 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.051 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
13.051 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
13.051 * [backup-simplify]: Simplify (* 0 0) into 0
13.053 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
13.054 * [backup-simplify]: Simplify (+ 0 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2)
13.055 * [backup-simplify]: Simplify (sqrt (pow (sqrt 1/2) 2)) into (sqrt 1/2)
13.056 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
13.058 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
13.058 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)) into 0
13.059 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
13.059 * [backup-simplify]: Simplify (+ 0 0) into 0
13.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 1/2) 2)))) into 0
13.060 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.060 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
13.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.063 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
13.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
13.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.068 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
13.075 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
13.076 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
13.077 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
13.077 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0
13.079 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
13.085 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
13.086 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
13.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
13.088 * [backup-simplify]: Simplify (* 1 1) into 1
13.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.090 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.091 * [backup-simplify]: Simplify (+ 1 0) into 1
13.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
13.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
13.097 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
13.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
13.104 * [backup-simplify]: Simplify (* 1 1) into 1
13.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.107 * [backup-simplify]: Simplify (+ 1 0) into 1
13.109 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 1)) into 1/2
13.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* 0 (/ 0 1)))) into -1/2
13.115 * [backup-simplify]: Simplify (/ (- -1/2 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2))))) into (- (* +nan.0 (sqrt 1/2)))
13.134 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) 0)))) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
13.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
13.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
13.138 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0
13.142 * [backup-simplify]: Simplify (+ (- (* +nan.0 (pow (sqrt 1/2) 2))) 0) into (- (* +nan.0 (pow (sqrt 1/2) 2)))
13.157 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (pow (sqrt 1/2) 2))) (+ (* 2 (* 0 (* +nan.0 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into (* +nan.0 (sqrt 1/2))
13.158 * [backup-simplify]: Simplify (* +nan.0 (sqrt 1/2)) into (* +nan.0 (sqrt 1/2))
13.161 * [backup-simplify]: Simplify (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 (- x)) 3)) (+ (* (* +nan.0 (sqrt 1/2)) (pow (/ 1 (- x)) 2)) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))
13.161 * * * [progress]: simplifying candidates
13.161 * * * * [progress]: [ 1 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (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))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.161 * * * * [progress]: [ 2 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.161 * * * * [progress]: [ 3 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (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))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.161 * * * * [progress]: [ 4 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 5 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 6 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (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))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 7 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 8 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 9 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 10 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 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))) (/ 1 (sqrt (hypot 1 x)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 11 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 12 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 13 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.162 * * * * [progress]: [ 14 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 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))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 15 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 16 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 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))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 17 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 18 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 19 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 20 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 21 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 22 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 23 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 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))) (/ 1 (sqrt (hypot 1 x)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.163 * * * * [progress]: [ 24 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 25 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 26 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma (sqrt 1/2) (sqrt 1/2) (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 27 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 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))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 28 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 29 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 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))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 30 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 31 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 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)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 32 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 1/2 (- (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ (sqrt 1/2) (cbrt (hypot 1 x)))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ (sqrt 1/2) (cbrt (hypot 1 x))) (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 33 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 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)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.164 * * * * [progress]: [ 34 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 1/2 (- (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))) (fma (- (/ (sqrt 1/2) (hypot 1 x))) (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (hypot 1 x)) (/ (sqrt 1/2) 1)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 35 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 1/2 (- (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))) (fma (- (/ 1/2 (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (* (/ 1/2 (cbrt (hypot 1 x))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 36 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 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))) (/ 1 (sqrt (hypot 1 x)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 37 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) (/ 1 1)))) (fma (- (/ 1/2 (hypot 1 x))) (/ 1 1) (* (/ 1/2 (hypot 1 x)) (/ 1 1)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 38 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 1/2 (- (* (/ 1/2 (hypot 1 x)) 1))) (fma (- (/ 1/2 (hypot 1 x))) 1 (* (/ 1/2 (hypot 1 x)) 1))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 39 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ (fma 1 1/2 (- (* (/ 1 (hypot 1 x)) 1/2))) (fma (- (/ 1 (hypot 1 x))) 1/2 (* (/ 1 (hypot 1 x)) 1/2))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 40 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (log1p (expm1 (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 41 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.165 * * * * [progress]: [ 42 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 43 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (fma (sqrt 1/2) (sqrt 1/2) (- (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 44 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (fma 1 1/2 (- (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 45 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (log (/ (exp 1/2) (exp (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 46 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (pow (- 1/2 (/ 1/2 (hypot 1 x))) 1))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 47 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (exp (log (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 48 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (log (exp (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 49 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* (* (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 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 50 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (cbrt (* (* (- 1/2 (/ 1/2 (hypot 1 x))) (- 1/2 (/ 1/2 (hypot 1 x)))) (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 51 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* (sqrt (- 1/2 (/ 1/2 (hypot 1 x)))) (sqrt (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 52 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (/ (- (pow 1/2 3) (pow (/ 1/2 (hypot 1 x)) 3)) (+ (* 1/2 1/2) (+ (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x))) (* 1/2 (/ 1/2 (hypot 1 x)))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 53 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ 1/2 (- (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 54 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 55 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (/ (- (* 1/2 1/2) (* (/ 1/2 (hypot 1 x)) (/ 1/2 (hypot 1 x)))) (+ 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.166 * * * * [progress]: [ 56 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 57 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* (+ (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (- (sqrt 1/2) (/ (sqrt 1/2) (sqrt (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 58 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (* 1 (- 1/2 (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 59 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (+ 1/2 (- (/ 1/2 (hypot 1 x)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 60 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (posit16->real (real->posit16 (- 1/2 (/ 1/2 (hypot 1 x))))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 61 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (log1p (expm1 (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 62 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (expm1 (log1p (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 63 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (pow (/ 1/2 (hypot 1 x)) 1/2) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 64 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (pow (sqrt (/ 1/2 (hypot 1 x))) 1) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 65 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (exp (log (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 66 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (log (exp (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 67 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (* (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 68 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (cbrt (* (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.167 * * * * [progress]: [ 69 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (* (cbrt (/ 1/2 (hypot 1 x))) (cbrt (/ 1/2 (hypot 1 x))))) (sqrt (cbrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 70 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 71 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 72 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))) (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 73 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (sqrt (/ (cbrt 1/2) (hypot 1 x)))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 74 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 75 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 76 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ (sqrt 1/2) 1)) (sqrt (/ (sqrt 1/2) (hypot 1 x)))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 77 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))) (sqrt (/ 1/2 (cbrt (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 78 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ 1 (sqrt (hypot 1 x)))) (sqrt (/ 1/2 (sqrt (hypot 1 x))))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 79 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (/ 1 1)) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 80 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt 1) (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 81 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt 1/2) (sqrt (/ 1 (hypot 1 x)))) (sqrt 1/2)))))>
13.168 * * * * [progress]: [ 82 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (/ (sqrt 1/2) (sqrt (hypot 1 x))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 83 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (pow (/ 1/2 (hypot 1 x)) (/ 1 2)) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 84 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* (sqrt (sqrt (/ 1/2 (hypot 1 x)))) (sqrt (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 85 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (fabs (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 86 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (fabs (/ (sqrt 1/2) (sqrt (hypot 1 x)))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 87 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (* 1 (sqrt (/ 1/2 (hypot 1 x)))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 88 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (posit16->real (real->posit16 (sqrt (/ 1/2 (hypot 1 x))))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 89 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (log1p (expm1 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.169 * * * * [progress]: [ 90 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (expm1 (log1p (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.169 * * * * [progress]: [ 91 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 92 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (fma (sqrt 1) (sqrt 1) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 93 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (fma 1 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.169 * * * * [progress]: [ 94 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (log (* (exp 1) (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.169 * * * * [progress]: [ 95 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (pow (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) 1)))>
13.169 * * * * [progress]: [ 96 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (exp (log (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 97 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (log (exp (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 98 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (* (* (cbrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (cbrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))) (cbrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 99 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (cbrt (* (* (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 100 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (* (sqrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (sqrt (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 101 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (+ (pow 1 3) (pow (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 3)) (+ (* 1 1) (- (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (* 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))))>
13.170 * * * * [progress]: [ 102 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (* 1 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
13.170 * * * * [progress]: [ 103 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (/ (- (* 1 1) (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (- 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
13.170 * * * * [progress]: [ 104 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (* 1 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
13.170 * * * * [progress]: [ 105 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (posit16->real (real->posit16 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 106 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)))>
13.170 * * * * [progress]: [ 107 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (log1p (expm1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 108 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (expm1 (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 109 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (sqrt (+ (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt 1/2) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 110 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (pow (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1))))>
13.170 * * * * [progress]: [ 111 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (exp (log (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 112 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (log (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 113 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (* (* (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 114 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (cbrt (* (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 115 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (* (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 116 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (* 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))>
13.170 * * * * [progress]: [ 117 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (posit16->real (real->posit16 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))))>
13.170 * * * * [progress]: [ 118 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- (+ (* 1/4 (pow x 2)) (* 5/32 (pow x 6))) (* 3/16 (pow x 4))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.171 * * * * [progress]: [ 119 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- (+ (* 1/4 (/ 1 (pow x 3))) 1/2) (* 1/2 (/ 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.171 * * * * [progress]: [ 120 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- (+ (* 1/2 (/ 1 x)) 1/2) (* 1/4 (/ 1 (pow x 3)))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>
13.171 * * * * [progress]: [ 121 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))) (sqrt 1/2)))))>
13.171 * * * * [progress]: [ 122 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (sqrt 1/2)))))>
13.171 * * * * [progress]: [ 123 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))) (sqrt 1/2)))))>
13.171 * * * * [progress]: [ 124 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3)))))))>
13.171 * * * * [progress]: [ 125 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))))>
13.171 * * * * [progress]: [ 126 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3))))))))>
13.171 * * * * [progress]: [ 127 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))))))>
13.171 * * * * [progress]: [ 128 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))))>
13.171 * * * * [progress]: [ 129 / 129 ] simplifiying candidate #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))))>
13.173 * [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)) 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1/2)) 1)), (sqrt (/ (cbrt 1/2) (hypot 1 x))), (sqrt (/ (sqrt 1/2) (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))), (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) 1)), (sqrt (/ (sqrt 1/2) (hypot 1 x))), (sqrt (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))), (sqrt (/ 1/2 (cbrt (hypot 1 x)))), (sqrt (/ 1 (sqrt (hypot 1 x)))), (sqrt (/ 1/2 (sqrt (hypot 1 x)))), (sqrt (/ 1 1)), (sqrt (/ 1/2 (hypot 1 x))), (sqrt 1), (sqrt (/ 1/2 (hypot 1 x))), (sqrt 1/2), (sqrt (/ 1 (hypot 1 x))), (sqrt 1/2), (sqrt (hypot 1 x)), (/ 1 2), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (real->posit16 (sqrt (/ 1/2 (hypot 1 x)))), (expm1 (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (log1p (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (* (exp 1) (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (log (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (exp (+ 1 (hypot (sqrt 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1 x))) (sqrt 1/2)))), (expm1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (+ (* (sqrt (/ 1/2 (hypot 1 x))) (sqrt (/ 1/2 (hypot 1 x)))) (* (sqrt 1/2) (sqrt 1/2))), (log (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (real->posit16 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (- (+ (* 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)))), (- (+ (* 5/32 (* (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (* 1/4 (* (pow x 2) (sqrt 1/2)))), (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))), (- (+ (* +nan.0 (/ (sqrt 1/2) x)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))))), (- (+ (* (sqrt 2) (sqrt 1/2)) (+ 1 (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2))))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))), (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))), (- (+ (sqrt 1/2) 1) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 2))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 3)))))), (- (+ (* (sqrt 2) (sqrt 1/2)) (* 3/16 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))) (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/32 (/ (* (pow x 4) (sqrt 1/2)) (pow (sqrt 2) 3))))), (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2)))))), (- (sqrt 1/2) (+ (* +nan.0 (/ (sqrt 1/2) (pow x 3))) (- (* +nan.0 (/ (sqrt 1/2) (pow x 2))))))
13.176 * * [simplify]: iteration 1: (277 enodes)
13.344 * * [simplify]: iteration 2: (1163 enodes)
13.805 * * [simplify]: Extracting #0: cost 106 inf + 0
13.806 * * [simplify]: Extracting #1: cost 415 inf + 43
13.809 * * [simplify]: Extracting #2: cost 779 inf + 1105
13.813 * * [simplify]: Extracting #3: cost 759 inf + 15085
13.836 * * [simplify]: Extracting #4: cost 349 inf + 102345
13.895 * * [simplify]: Extracting #5: cost 59 inf + 180782
13.950 * * [simplify]: Extracting #6: cost 2 inf + 199241
14.002 * * [simplify]: Extracting #7: cost 0 inf + 199947
14.065 * [simplify]: Simplified to (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- (* (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))) (/ (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) (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)))), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (* (/ (/ (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))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x)))))), (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))), (* (/ 1/2 (cbrt (hypot 1 x))) (+ (/ -1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))))), (- (* (cbrt 1/2) (* (cbrt 1/2) (cbrt 1/2))) (/ (/ 1/2 (sqrt (hypot 1 x))) (sqrt (hypot 1 x)))), (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))), (* (/ 1/2 (hypot 1 x)) 0), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (fma (* (cbrt 1/2) (cbrt 1/2)) (cbrt 1/2) (/ -1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 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) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (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) (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))) (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))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))), (- 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))), (* (/ 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 (/ (/ 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)))), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 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) (cbrt 1/2)) (sqrt (hypot 1 x))) (/ (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) (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))) (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))) (/ (sqrt 1/2) (cbrt (hypot 1 x))))), (- 1/2 (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (+ (- (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))) (* (/ (sqrt 1/2) (sqrt (hypot 1 x))) (/ (sqrt 1/2) (sqrt (hypot 1 x))))), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ (/ 1/2 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x)))) (cbrt (hypot 1 x)))), (* (/ 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 (/ (/ 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)))), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (- 1/2 (/ 1/2 (hypot 1 x))), (* (/ 1/2 (hypot 1 x)) 0), (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)))), (log1p (sqrt (/ 1/2 (hypot 1 x)))), (log (sqrt (/ 1/2 (hypot 1 x)))), (exp (sqrt (/ 1/2 (hypot 1 x)))), (* (cbrt (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (sqrt (/ 1/2 (hypot 1 x))))), (cbrt (sqrt (/ 1/2 (hypot 1 x)))), (* (/ 1/2 (hypot 1 x)) (sqrt (/ 1/2 (hypot 1 x)))), (fabs (cbrt (/ 1/2 (hypot 1 x)))), (sqrt (cbrt (/ 1/2 (hypot 1 x)))), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (fabs (/ (cbrt 1/2) (cbrt (hypot 1 x)))), (sqrt (/ (cbrt 1/2) (cbrt (hypot 1 x)))), (sqrt (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (hypot 1 x)))), (sqrt (/ (cbrt 1/2) (sqrt (hypot 1 x)))), (fabs (cbrt 1/2)), (sqrt (/ (cbrt 1/2) (hypot 1 x))), (sqrt (/ (/ (sqrt 1/2) (cbrt (hypot 1 x))) (cbrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (cbrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))), (sqrt (/ (sqrt 1/2) (sqrt (hypot 1 x)))), (sqrt (sqrt 1/2)), (sqrt (/ (sqrt 1/2) (hypot 1 x))), (sqrt (/ 1 (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))))), (sqrt (/ 1/2 (cbrt (hypot 1 x)))), (sqrt (/ 1 (sqrt (hypot 1 x)))), (sqrt (/ 1/2 (sqrt (hypot 1 x)))), 1, (sqrt (/ 1/2 (hypot 1 x))), 1, (sqrt (/ 1/2 (hypot 1 x))), (sqrt 1/2), (sqrt (/ 1 (hypot 1 x))), (sqrt 1/2), (sqrt (hypot 1 x)), 1/2, (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (sqrt (sqrt (/ 1/2 (hypot 1 x)))), (real->posit16 (sqrt (/ 1/2 (hypot 1 x)))), (expm1 (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (log1p (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (exp (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (exp (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (* (cbrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)) (cbrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1))), (cbrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (* (* (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (sqrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (sqrt (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (fma (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) 1), (fma (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (- (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1) 1), (- 1 (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (- 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1), (real->posit16 (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)), (expm1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (log1p (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (+ (/ 1/2 (hypot 1 x)) 1/2), (log (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (exp (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))), (cbrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (* (* (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))) (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (sqrt (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (real->posit16 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))), (fma 1/4 (* x x) (fma (* (* x (* x x)) (* x (* x x))) 5/32 (* (* (* x x) (* x x)) -3/16))), (+ (/ 1/4 (* x (* x x))) (- 1/2 (/ 1/2 x))), (+ (/ -1/4 (* x (* x x))) (+ 1/2 (/ 1/2 x))), (+ (* (* (* x x) (sqrt 1/2)) -1/4) (fma (* (* (* x x) (* x x)) (sqrt 1/2)) 5/32 (sqrt 1/2))), (- (fma +nan.0 (/ (sqrt 1/2) x) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x))))), (- (fma +nan.0 (/ (sqrt 1/2) x) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x))))), (- (fma (sqrt 2) (sqrt 1/2) (fma (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2)) 3/16 1)) (fma (/ (sqrt 1/2) (/ (sqrt 2) (* x x))) 1/4 (* 1/64 (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2))))), (+ (* +nan.0 (- (/ (/ (sqrt 1/2) (* x x)) x) (/ (sqrt 1/2) (* x x)))) (+ (sqrt 1/2) 1)), (+ (* +nan.0 (- (/ (/ (sqrt 1/2) (* x x)) x) (/ (sqrt 1/2) (* x x)))) (+ (sqrt 1/2) 1)), (- (fma 3/16 (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2)) (* (sqrt 1/2) (sqrt 2))) (fma (/ (sqrt 1/2) (/ (sqrt 2) (* x x))) 1/4 (* 1/64 (/ (* (* (* x x) (* x x)) (sqrt 1/2)) (sqrt 2))))), (+ (sqrt 1/2) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x)))), (+ (sqrt 1/2) (* +nan.0 (- (/ (sqrt 1/2) (* x x)) (/ (/ (sqrt 1/2) (* x x)) x))))
14.081 * * * [progress]: adding candidates to table
15.884 * [progress]: [Phase 3 of 3] Extracting.
15.884 * * [regime]: Finding splitpoints for: (#<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))> #<alt (λ (x) (fma 1/8 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (* -11/128 (* (* x x) (* x x))))))> #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>)
15.885 * * * [regime-changes]: Trying 2 branch expressions: (x (hypot 1 x))
15.885 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))> #<alt (λ (x) (fma 1/8 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (* -11/128 (* (* x x) (* x x))))))> #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>)
15.932 * * * * [regimes]: Trying to branch on (hypot 1 x) from (#<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))> #<alt (λ (x) (fma 1/8 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (* -11/128 (* (* x x) (* x x))))))> #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>)
15.967 * * * * [regimes]: Trying to branch on (hypot 1 x) from (#<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))> #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>)
16.006 * * * [regime]: Found split indices: #<option (#s(si 0 75) #s(si 1 189) #s(si 0 255))>
16.007 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))> #<alt (λ (x) (fma 1/8 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (* -11/128 (* (* x x) (* x x))))))> #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>)
16.210 * [regimes]: Found splitpoints: (#s(sp 0 x -0.010462939647205145) #s(sp 1 x 0.008896625846513824) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))> #<alt (λ (x) (fma 1/8 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (* -11/128 (* (* x x) (* x x))))))> #<alt (λ (x) (* (/ (+ (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (* (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))) (/ (- (sqrt 1/2) (sqrt (/ 1/2 (hypot 1 x)))) (cbrt (+ 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))))))> #<alt (λ (x) (/ (expm1 (log1p (- 1/2 (/ 1/2 (hypot 1 x))))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))))>)
16.210 * [simplify]: Simplifying (if (<= x -0.010462939647205145) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)))) (if (<= x 0.008896625846513824) (fma 1/8 (* x x) (fma (* (* (* x x) (* x x)) (* x x)) 69/1024 (* -11/128 (* (* x x) (* x x))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ 1 (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2))))))
16.211 * * [simplify]: iteration 1: (26 enodes)
16.214 * * [simplify]: iteration 2: (34 enodes)
16.216 * * [simplify]: Extracting #0: cost 1 inf + 0
16.217 * * [simplify]: Extracting #1: cost 6 inf + 0
16.217 * * [simplify]: Extracting #2: cost 15 inf + 0
16.217 * * [simplify]: Extracting #3: cost 20 inf + 3
16.217 * * [simplify]: Extracting #4: cost 19 inf + 115
16.217 * * [simplify]: Extracting #5: cost 13 inf + 494
16.217 * * [simplify]: Extracting #6: cost 7 inf + 1364
16.218 * * [simplify]: Extracting #7: cost 3 inf + 2441
16.219 * * [simplify]: Extracting #8: cost 0 inf + 4415
16.220 * * [simplify]: Extracting #9: cost 0 inf + 4360
16.221 * [simplify]: Simplified to (if (<= x -0.010462939647205145) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1)) (if (<= x 0.008896625846513824) (fma 1/8 (* x x) (fma (* (* x x) (* (* x x) (* x x))) 69/1024 (* -11/128 (* (* x x) (* x x))))) (/ (- 1/2 (/ 1/2 (hypot 1 x))) (+ (hypot (sqrt (/ 1/2 (hypot 1 x))) (sqrt 1/2)) 1))))
19.978 * [regime-testing]: Baseline error score: 15.247503568662397
19.981 * [regime-testing]: Oracle error score: 0.03569319923588797
19.985 * [regime-testing]: End program error score: 0.03947849818752767